Row Anon Student Id Problem Hierarchy Problem Name Problem View Step Name Step Start Time First Transaction Time Correct Transaction Time Step End Time Step Duration (sec) Correct Step Duration (sec) Error Step Duration (sec) Correct First Attempt Incorrects Hints Corrects KC(Default) Opportunity(Default) 390 0BrbPbwCMz Unit ES_04, Section ES_04-15 LIT59 1 b+r*(x+y) = v-s 2005-10-05 12:45:31.0 2005-10-05 12:45:46.0 2005-10-05 12:45:46.0 2005-10-05 12:45:46.0 15 15 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 77 717 0BrbPbwCMz Unit CTA1_10, Section CTA1_10-5 DIST05_SP 1 R7C1 2005-10-21 12:50:22.0 2005-10-21 12:50:28.0 2005-10-21 12:50:28.0 2005-10-21 12:50:28.0 6 6 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 36~~33~~33 803 0BrbPbwCMz Unit ES_07, Section ES_07-2 LIT50A 1 m*(k-n) = g*s 2005-10-28 12:21:02.0 2005-10-28 12:21:17.0 2005-10-28 12:21:17.0 2005-10-28 12:21:17.0 15 15 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 88 881 19UbXBlPPK Unit CTA1_01, Section CTA1_01-2 BH1T17 1 R5C2 2005-09-09 12:50:28.0 2005-09-09 12:50:46.0 2005-09-09 12:50:46.0 2005-09-09 12:50:46.0 18 18 1 0 0 1 Find Y, Simple~~Using simple numbers~~Using large numbers 12~~17~~2 1190 2oNLCndtam Unit CTA1_12, Section CTA1_12-4 SYSFB23 1 R3C1 2005-09-21 12:40:51.0 2005-09-21 12:40:53.0 2005-09-21 12:40:53.0 2005-09-21 12:40:53.0 2 2 1 0 0 1 Define Variable 10 1547 2oNLCndtam Unit ES_05, Section ES_05-8 EG61 10 -9.91y-6.3 = -2.13 2005-09-30 12:18:00.0 2005-09-30 12:18:05.0 2005-09-30 12:18:05.0 2005-09-30 12:18:05.0 5 5 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 65~~21 2111 2oNLCndtam Unit CTA1_14, Section CTA1_14-4 2PTFB18 1 25X = 0 2005-10-28 12:32:04.0 2005-10-28 12:32:08.0 2005-10-28 12:32:08.0 2005-10-28 12:32:08.0 4 4 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 80~~156 2368 2oNLCndtam Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 X-3YGE20 1 GraphChoice1 2005-11-09 12:23:07.0 2005-11-09 12:23:16.0 2005-11-09 12:23:16.0 2005-11-09 12:23:16.0 9 9 1 0 0 1 2697 2oNLCndtam Unit CTA1_15, Section CTA1_15-3 SYSFB10 1 60X = 3500 2005-11-18 12:37:15.0 2005-11-18 12:37:19.0 2005-11-18 12:37:19.0 2005-11-18 12:37:19.0 4 4 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 100~~206 2982 2oNLCndtam Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE8TRE 1 R5C1 2005-12-09 13:17:14.0 2005-12-09 13:17:18.0 2005-12-09 13:17:18.0 2005-12-09 13:17:18.0 4 4 1 0 0 1 Entering a given~~Entering a given linear value 211~~11 3256 2oNLCndtam Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR25 1 c-factor-2 2006-01-04 12:16:06.0 2006-01-04 12:16:07.0 2006-01-04 12:16:11.0 2006-01-04 12:20:02.0 11 11 0 2 0 3 3742 2oNLCndtam Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR10 1 (9+sqrt(9^2-56))/2 = x 2006-01-25 12:50:48.0 2006-01-25 12:50:52.0 2006-01-25 12:50:52.0 2006-01-25 12:50:52.0 4 4 1 0 0 1 [SkillRule: Apply Exponent; {Expand Exponents; eval radical; Expand Exponents, radical}] 61 4170 2oNLCndtam Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD11TRE 1 R4C1 2006-03-08 12:18:56.0 2006-03-08 12:19:04.0 2006-03-08 12:19:04.0 2006-03-08 12:19:04.0 8 8 1 0 0 1 Entering a given~~Entering a given linear value 281~~45 4457 2oNLCndtam Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 3 constant factors1R1 2006-03-24 12:30:01.0 2006-03-24 12:30:02.0 2006-03-24 12:30:02.0 2006-03-24 12:30:02.0 1 1 1 0 0 1 4848 2oNLCndtam Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS02 3 row1-N-x 2006-04-19 12:31:20.0 2006-04-19 12:31:25.0 2006-04-19 12:31:25.0 2006-04-19 12:31:25.0 5 5 1 0 0 1 5092 2oNLCndtam Unit CTA1_20, Section CTA1_20-2 2PTFB20 1 1.75X = 219.21 2006-05-03 12:40:10.0 2006-05-03 12:40:14.0 2006-05-03 12:40:14.0 2006-05-03 12:40:14.0 4 4 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 127~~244 5408 2oNLCndtam Unit CTA1_21, Section CTA1_21-3 JAN07 1 R1C2 2006-05-17 12:47:50.0 2006-05-17 12:47:57.0 2006-05-17 12:47:57.0 2006-05-17 12:47:57.0 7 7 1 0 0 1 5670 2oNLCndtam Unit CTA1_22, Section CTA1_22-1 SYS08 1 R3C1 2006-06-05 12:51:33.0 2006-06-05 12:51:35.0 2006-06-05 12:51:35.0 2006-06-05 12:51:35.0 2 2 1 0 0 1 Define Variable 122 5827 46z59pQP58 Unit CTA1_01, Section CTA1_01-3 BH1T34A 1 R1C1 2005-09-16 12:31:38.0 2005-09-16 12:31:46.0 2005-09-16 12:31:46.0 2005-09-16 12:31:46.0 8 8 1 0 0 1 6061 46z59pQP58 Unit CTA1_02, Section CTA1_02-2 BH1T21A 2 YUnit 2005-09-29 12:51:30.0 2005-09-29 12:51:51.0 2005-09-29 12:52:05.0 2005-09-29 12:52:05.0 35 35 0 2 0 1 6400 46z59pQP58 Unit ES_01, Section ES_01-9 EG25 1 y/9 = 7 2005-10-14 12:32:33.0 2005-10-14 12:32:46.0 2005-10-14 12:32:46.0 2005-10-14 12:32:46.0 13 13 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 12~~19 6662 46z59pQP58 Unit CTA1_04, Section CTA1_04-4 L5FB04B 1 R5C1 2005-10-26 12:39:04.0 2005-10-26 12:39:27.0 2005-10-26 12:39:27.0 2005-10-26 12:39:27.0 23 23 1 0 0 1 Entering a given 165 6870 46z59pQP58 Unit ES_02, Section ES_02-6 EG40 2 6/7 = 7x/7 2005-11-02 12:29:39.0 2005-11-02 12:29:48.0 2005-11-02 12:29:52.0 2005-11-02 12:30:06.0 27 27 0 1 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 8 7112 46z59pQP58 Unit CTA1_13, Section CTA1_13-1 PROP01 1 R7C2 2005-11-09 12:30:30.0 2005-11-09 12:30:34.0 2005-11-09 12:30:34.0 2005-11-09 12:30:34.0 4 4 1 0 0 1 Entering a given 205 7618 46z59pQP58 Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 15X = 3.75 2005-11-29 12:33:53.0 2005-11-29 12:34:04.0 2005-11-29 12:34:04.0 2005-11-29 12:34:04.0 11 11 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 94~~139 7971 46z59pQP58 Unit ES_03, Section ES_03-8 LIT10A 1 constant terms1R1 2005-12-14 12:48:53.0 2005-12-14 12:48:55.0 2005-12-14 12:49:05.0 2005-12-14 12:49:05.0 7 7 0 2 0 1 8220 46z59pQP58 Unit CTA1_08, Section CTA1_08-3 DEC04 2 YLabel 2006-01-11 12:18:12.0 2006-01-11 12:18:44.0 2006-01-11 12:18:44.0 2006-01-11 12:18:44.0 32 32 1 0 0 1 Labelling the axes 97 8595 46z59pQP58 Unit ES_04, Section ES_04-13 LIT33 1 17/w*w = b*w 2006-02-01 12:35:40.0 2006-02-01 12:35:46.0 2006-02-01 12:35:46.0 2006-02-01 12:35:46.0 6 6 1 0 0 1 9098 46z59pQP58 Unit CTA1_10, Section CTA1_10-3 DISTFB06_SP 1 0.3(X-100000) = 1000000 2006-03-22 12:57:07.0 2006-03-22 12:57:16.0 2006-03-22 12:57:16.0 2006-03-22 12:57:16.0 9 9 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 111 9887 46z59pQP58 Unit ES_07, Section ES_07-6 LIT78A 6 di-expr 2006-06-01 12:24:43.0 2006-06-01 12:24:46.0 2006-06-01 12:24:46.0 2006-06-01 12:26:00.0 6 6 1 0 0 2 9932 46z59pQP58 Unit CTA1_12, Section CTA1_12-1 LDEMO_SYS 2 R4C2 2006-06-05 12:45:43.0 2006-06-05 12:46:44.0 2006-06-05 12:46:44.0 61 61 0 1 0 0 Using simple numbers~~Using large numbers~~Find Y, positive slope 256~~147~~50 10039 52vEY7f17k Unit CTA1_13, Section CTA1_13-1 PROP01 1 2/300*X = 10 2005-09-14 12:42:05.0 2005-09-14 12:42:08.0 2005-09-14 12:42:08.0 2005-09-14 12:42:08.0 3 3 1 0 0 1 10482 52vEY7f17k Unit CTA1_06, Section CTA1_06-3 FOR05 1 xScale 2005-09-30 12:39:38.0 2005-09-30 12:39:41.0 2005-09-30 12:39:41.0 2005-09-30 12:39:44.0 6 6 1 0 0 2 Changing axis intervals 28 11024 52vEY7f17k Unit ES_03, Section ES_03-6 EG52 1 2.9 = -2x+3.7+x 2005-10-26 12:20:24.0 2005-10-26 12:20:27.0 2005-10-26 12:20:27.0 2005-10-26 12:21:11.0 11 11 1 0 0 2 [SkillRule: Consolidate vars, no coeff; CLT] 27 11476 52vEY7f17k Unit CTA1_08, Section CTA1_08-3 REAL10 1 yScale 2005-11-16 12:28:36.0 2005-11-16 12:28:38.0 2005-11-16 12:28:38.0 2005-11-16 12:28:38.0 2 2 1 0 0 2 Changing axis intervals 65 11948 52vEY7f17k Unit ES_04, Section ES_04-12 EG58 7 xR2 2006-01-13 12:23:25.0 2006-01-13 12:23:31.0 2006-01-13 12:23:31.0 2006-01-13 12:23:31.0 6 6 1 0 0 1 12532 52vEY7f17k Unit CTA1_10, Section CTA1_10-5 DIST05_SP 1 R1C2 2006-03-24 12:26:00.0 2006-03-24 12:26:05.0 2006-03-24 12:26:19.0 2006-03-24 12:26:19.0 13 13 0 1 0 1 12955 52vEY7f17k Unit ES_07, Section ES_07-4 LIT69A 4 z*u-n*j+z*g = 16n 2006-05-22 12:50:30.0 2006-05-22 12:51:04.0 2006-05-22 12:51:04.0 34 34 0 0 1 0 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 42 13056 5ey2xUDZTA Unit CTA1_01, Section CTA1_01-1 LDEMO_WKST 1 R2C2 2005-09-07 12:48:20.0 2005-09-07 12:49:21.0 2005-09-07 12:49:21.0 2005-09-07 12:49:21.0 61 61 1 0 0 1 Identifying units 2 13516 5ey2xUDZTA Unit CTA1_14, Section CTA1_14-4 2PTFB18 1 R7C2 2005-10-05 12:31:14.0 2005-10-05 12:31:20.0 2005-10-05 12:31:20.0 2005-10-05 12:31:20.0 6 6 1 0 0 1 Find Y, Simple~~Using simple numbers~~Using small numbers 4~~72~~58 13772 5ey2xUDZTA Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGE4X-11 2 xMax 2005-10-12 12:19:47.0 2005-10-12 12:19:51.0 2005-10-12 12:19:51.0 2005-10-12 12:19:51.0 4 4 1 0 0 1 14059 5ey2xUDZTA Unit CTA1_15, Section CTA1_15-3 SYS06 1 R5C3 2005-10-21 12:39:39.0 2005-10-21 12:39:40.0 2005-10-21 12:39:46.0 0.7 0.7 0 2 0 0 14366 5ey2xUDZTA Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE5TRE 1 Point 1.1 2005-11-09 12:31:13.0 2005-11-09 12:31:27.0 2005-11-09 12:32:09.0 56 56 0 0 29 0 Correctly placing points 5 14586 5ey2xUDZTA Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR28 1 c-factor-1 2005-11-18 12:26:54.0 2005-11-18 12:28:02.0 2005-11-18 12:28:02.0 2005-11-18 12:28:02.0 68 68 1 0 0 1 14993 5ey2xUDZTA Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR17 1 b-factor-node 2005-12-07 12:23:12.0 2005-12-07 12:23:14.0 2005-12-07 12:23:14.0 2005-12-07 12:23:14.0 2 2 1 0 0 1 15312 5ey2xUDZTA Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD3TRE 1 -(16)(x^2)+48x+0 = 20 2006-01-04 12:24:19.0 2006-01-04 12:24:28.0 2006-01-04 12:24:28.0 2006-01-04 12:24:28.0 9 9 1 0 0 1 15389 5ey2xUDZTA Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS07 2 constant factors1R1 2006-01-04 12:34:45.0 2006-01-04 12:34:46.0 2006-01-04 12:34:46.0 2006-01-04 12:34:46.0 1 1 1 0 0 1 15799 5ey2xUDZTA Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS02 4 row3-N-x 2006-01-13 12:31:12.0 2006-01-13 12:31:13.0 2006-01-13 12:31:41.0 2006-01-13 12:31:41.0 12.5 12.5 0 2 0 1 16026 5ey2xUDZTA Unit CTA1_20, Section CTA1_20-2 1PTFB10 1 R2C1 2006-02-09 12:26:24.0 2006-02-09 12:26:29.0 2006-02-09 12:26:29.0 2006-02-09 12:26:29.0 5 5 1 0 0 1 Identifying units 127 16348 5ey2xUDZTA Unit CTA1_21, Section CTA1_21-3 FEB07 1 yMax 2006-02-22 12:27:56.0 2006-02-22 12:28:03.0 2006-02-22 12:28:03.0 2006-02-22 12:28:03.0 7 7 1 0 0 2 Changing axis bounds 70 16525 5ey2xUDZTA Unit CTA1_22, Section CTA1_22-1 SYSFB07 1 R5C1 2006-03-01 12:35:31.0 2006-03-01 12:35:39.0 2006-03-01 12:35:39.0 2006-03-01 12:35:39.0 8 8 1 0 0 1 Using large numbers~~Find X, positive slope~~Using difficult numbers 117~~56~~90 16620 5ey2xUDZTA Unit ES_06, Section ES_06-1 EG63A 3 -466.84(x-618.18)-611.16 = -454.63-730.47x*(-482/(-554x)-442.23) 2006-03-03 12:43:17.0 2006-03-03 12:43:22.0 2006-03-03 12:43:22.0 2006-03-03 12:43:22.0 5 5 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 22 16704 5ey2xUDZTA Unit CTA1_24, Section CTA1_24-1 PERCENT07 1 R7C1 2006-03-08 12:23:35.0 2006-03-08 12:23:47.0 2006-03-08 12:25:25.0 2006-03-08 12:25:25.0 65 65 0 4 3 1 Entering a given 359 16869 5ey2xUDZTA Unit CTA1_25, Section CTA1_25-1 REAL36 1 3X = 1800 2006-03-10 12:43:48.0 2006-03-10 12:43:52.0 2006-03-10 12:43:52.0 2006-03-10 12:43:52.0 4 4 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 106~~189 17093 5ey2xUDZTA Unit CTA1_26, Section CTA1_26-1 PERCENT02 1 R2C1 2006-03-17 12:22:06.0 2006-03-17 12:22:08.0 2006-03-17 12:22:08.0 2006-03-17 12:22:08.0 2 2 1 0 0 1 Identifying units 216 17334 5ey2xUDZTA Unit CTA1_27, Section CTA1_27-1 PERCENT10 2 R7C1 2006-03-29 12:18:25.0 2006-03-29 12:19:22.0 2006-03-29 12:20:15.0 2006-03-29 12:20:15.0 67 67 0 2 0 1 Using difficult numbers~~Using small numbers~~Find X, Simple 159~~260~~29 18566 5ey2xUDZTA Unit QuadLinearFuncTrans, Section QLFuncTrans9 TRANSFORMN001 2 ParentDescChoice 2006-05-12 09:52:09.0 2006-05-12 09:52:11.0 2006-05-12 09:52:13.0 2006-05-12 09:52:13.0 4 4 0 1 0 1 Identify Parent Description 123 19200 6W08a98ZQV Unit ES_02, Section ES_02-8 EG41 2 FinalAnswer 2005-09-16 12:34:13.0 2005-09-16 12:34:27.0 2005-09-16 12:34:27.0 2005-09-16 12:34:27.0 14 14 1 0 0 1 perform-mult-sp 9 19384 6W08a98ZQV Unit CTA1_13, Section CTA1_13-1 PROP10 1 R1C2 2005-10-07 12:31:51.0 2005-10-07 12:32:11.0 2005-10-07 12:32:11.0 2005-10-07 12:32:11.0 20 20 1 0 0 1 19835 6W08a98ZQV Unit CTA1_06, Section CTA1_06-3 FOR05 2 XLabel 2005-11-23 12:30:56.0 2005-11-23 12:31:37.0 2005-11-23 12:33:24.0 2005-11-23 12:33:24.0 93 93 0 2 0 1 Labelling the axes 33 20340 6W08a98ZQV Unit ES_03, Section ES_03-6 EG52A 1 constant termsR2 2006-02-03 12:46:42.0 2006-02-03 12:46:45.0 2006-02-03 12:46:45.0 2006-02-03 12:46:45.0 3 3 1 0 0 1 20727 6W08a98ZQV Unit CTA1_08, Section CTA1_08-3 REAL37 1 Formula 1 Coeff 0 2006-03-24 12:38:33.0 2006-03-24 12:38:36.0 2006-03-24 12:38:36.0 2006-03-24 12:38:36.0 3 3 1 0 0 1 Setting the y-intercept 19 21074 6W08a98ZQV Unit ES_04, Section ES_04-14 LIT33A 1 17/c = c*x/c 2006-05-03 12:38:28.0 2006-05-03 12:38:30.0 2006-05-03 12:38:30.0 2006-05-03 12:38:36.0 8 8 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 63 21263 6W08a98ZQV Unit CTA1_10, Section CTA1_10-2 DIST03_SP 3 R4C1 2006-06-01 12:34:51.0 2006-06-01 12:36:41.0 2006-06-01 12:37:28.0 2006-06-01 12:37:28.0 116 116 0 1 0 1 Entering a given 177 21616 8o0mJnIpFH Unit CTA1_06, Section CTA1_06-3 JAN05 2 R5C1 2005-09-22 10:52:57.0 2005-09-22 10:53:08.0 2005-09-22 10:53:16.0 2005-09-22 10:53:16.0 19 19 0 1 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 24~~15~~18 22178 8o0mJnIpFH Unit ES_03, Section ES_03-6 EG51A 2 constant termsR2 2005-10-28 12:24:11.0 2005-10-28 12:27:27.0 2005-10-28 12:27:27.0 2005-10-28 12:27:27.0 196 196 1 0 0 1 22320 8o0mJnIpFH Unit CTA1_08, Section CTA1_08-2 FEB03 1 yMin 2005-11-04 12:04:31.0 2005-11-04 12:04:37.0 2005-11-04 12:04:37.0 2005-11-04 12:04:37.0 6 6 1 0 0 1 Changing axis bounds 98 22862 8o0mJnIpFH Unit ES_04, Section ES_04-15 LIT58 1 7+y*(b+n) = r+f 2006-01-06 12:31:06.0 2006-01-06 12:31:10.0 2006-01-06 12:31:10.0 2006-01-06 12:31:10.0 4 4 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 70 23277 8o0mJnIpFH Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 R3C2 2006-03-31 12:37:14.0 2006-03-31 12:38:29.0 2006-03-31 12:39:49.0 2006-03-31 12:39:49.0 155 155 0 4 8 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 78~~45~~56 23522 8o0mJnIpFH Unit ES_07, Section ES_07-4 LIT63A 1 n*t-h*r = c*j+z*n 2006-05-10 12:43:04.0 2006-05-10 12:43:30.0 2006-05-10 12:43:30.0 0 0 3 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 228 23621 8o0mJnIpFH Unit CTA1_12, Section CTA1_12-2 SYS03 1 R3C3 2006-05-25 12:50:18.0 2006-05-25 12:50:37.0 2006-05-25 12:51:10.0 2006-05-25 12:51:10.0 52 52 0 6 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 94~~104~~55 23660 8rsfNQdio8 Unit CTA1_01, Section CTA1_01-2 BH1T24B 1 R1C1 2005-09-07 12:51:33.0 2005-09-07 12:51:43.0 2005-09-07 12:51:43.0 2005-09-07 12:51:43.0 10 10 1 0 0 1 23901 8rsfNQdio8 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT5X+12 1 GraphButton1 2005-09-14 12:47:16.0 2005-09-14 12:47:17.0 2005-09-14 12:47:17.0 2005-09-14 12:47:17.0 1 1 1 0 0 1 24310 8rsfNQdio8 Unit CTA1_15, Section CTA1_15-3 SYS06 1 R3C3 2005-09-23 12:47:01.0 2005-09-23 12:47:41.0 2005-09-23 12:47:41.0 2005-09-23 12:47:41.0 40 40 1 0 0 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 35~~16~~20 24525 8rsfNQdio8 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE7TRE 1 xMin 2005-10-05 12:47:22.0 2005-10-05 12:48:01.0 2005-10-05 12:48:01.0 2005-10-05 12:48:56.0 60 60 1 0 0 2 Changing axis bounds 51 24748 8rsfNQdio8 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR21 1 c-factor-1 2005-10-14 12:49:01.0 2005-10-14 12:49:04.0 2005-10-14 12:49:04.0 2005-10-14 12:49:31.0 6.5 6.5 1 0 0 2 25272 8rsfNQdio8 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR07 1 b-factor-node 2005-10-28 12:16:21.0 2005-10-28 12:16:23.0 2005-10-28 12:16:23.0 2005-10-28 12:16:23.0 2 2 1 0 0 1 25833 8rsfNQdio8 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD11TRE 2 den1-factor-node 2005-12-09 13:08:11.0 2005-12-09 13:08:19.0 2005-12-09 13:08:19.0 2005-12-09 13:08:19.0 8 8 1 0 0 1 qft-den-sp 33 25902 8rsfNQdio8 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 1 (3(x^3)(y^4))(y^3) 2005-12-14 12:15:31.0 2005-12-14 12:15:35.0 2005-12-14 12:15:35.0 2005-12-14 12:15:35.0 4 4 1 0 0 1 26150 8rsfNQdio8 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 2 row3-D-x 2005-12-16 12:25:27.0 2005-12-16 12:25:31.0 2005-12-16 12:25:34.0 2005-12-16 12:25:34.0 7 7 0 1 0 1 26398 8rsfNQdio8 Unit CTA1_20, Section CTA1_20-2 2PTFB19 1 R4C1 2006-01-11 12:36:52.0 2006-01-11 12:37:02.0 2006-01-11 12:37:02.0 2006-01-11 12:37:02.0 10 10 1 0 0 1 Entering a given 202 26678 8rsfNQdio8 Unit CTA1_21, Section CTA1_21-2 BH1T49 1 XUnit 2006-01-27 12:44:09.0 2006-01-27 12:44:13.0 2006-01-27 12:44:13.0 2006-01-27 12:44:13.0 4 4 1 0 0 1 26877 8rsfNQdio8 Unit CTA1_22, Section CTA1_22-1 SYS19 1 R5C2 2006-02-09 12:44:37.0 2006-02-09 12:44:49.0 2006-02-09 12:44:49.0 2006-02-09 12:44:49.0 12 12 1 0 0 1 Entering a given 245 27032 8rsfNQdio8 Unit ES_06, Section ES_06-1 EG63A 6 262.08713693+184964.494x = 230.09x-133265.8271+84.3 2006-02-15 09:31:27.0 2006-02-15 09:31:31.0 2006-02-15 09:31:31.0 2006-02-15 09:31:31.0 4 4 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 16 27133 8rsfNQdio8 Unit CTA1_24, Section CTA1_24-1 PERCENT07 1 R7C1 2006-02-17 12:28:56.0 2006-02-17 12:29:06.0 2006-02-17 12:29:24.0 2006-02-17 12:29:24.0 28 28 0 1 0 1 Entering a given 279 27282 8rsfNQdio8 Unit CTA1_25, Section CTA1_25-1 PERCENT09 1 R3C2 2006-02-22 12:35:01.0 2006-02-22 12:36:57.0 2006-02-22 12:37:47.0 2006-02-22 12:37:47.0 166 166 0 2 6 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 175~~59~~98 27516 8rsfNQdio8 Unit CTA1_26, Section CTA1_26-1 REAL01 1 R3C1 2006-03-01 12:32:16.0 2006-03-01 12:32:18.0 2006-03-01 12:32:18.0 2006-03-01 12:32:18.0 2 2 1 0 0 1 Define Variable 97 27646 8rsfNQdio8 Unit CTA1_27, Section CTA1_27-1 PROP18 1 ValidEquations 2006-03-03 12:30:48.0 2006-03-03 12:31:03.0 2006-03-03 12:31:03.0 2006-03-03 12:31:04.0 16 16 1 0 0 2 28747 8rsfNQdio8 Unit QuadLinearFuncTrans, Section QLFuncTrans11 TRANSFORMN031 2 ParentCurveChoice 2006-03-24 12:25:55.0 2006-03-24 12:25:57.0 2006-03-24 12:25:57.0 2006-03-24 12:25:57.0 1 1 1 0 0 1 Identify Parent Curve 108 29118 9hs21hUG5O Unit ES_03, Section ES_03-6 EG52 2 4.2 = y-0.7y+5.4 2005-09-21 12:43:31.0 2005-09-21 12:44:54.0 2005-09-21 12:45:02.0 2005-09-21 12:45:02.0 91 91 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 22 29562 9hs21hUG5O Unit CTA1_08, Section CTA1_08-3 FEB08 1 XLabel 2005-10-19 12:29:27.0 2005-10-19 12:29:36.0 2005-10-19 12:29:36.0 2005-10-19 12:29:36.0 9 9 1 0 0 1 Labelling the axes 43 29985 9hs21hUG5O Unit ES_04, Section ES_04-15 LIT56 1 j*(t-w) = b 2005-11-11 12:40:32.0 2005-11-11 12:40:38.0 2005-11-11 12:40:38.0 2005-11-11 12:40:38.0 6 6 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] 137~~3 30349 9hs21hUG5O Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 R7C2 2005-12-16 12:22:32.0 2005-12-16 12:22:38.0 2005-12-16 12:22:38.0 2005-12-16 12:22:38.0 6 6 1 0 0 1 Entering a given 69 30761 9hs21hUG5O Unit ES_07, Section ES_07-4 LIT65A 2 -K = (N*T-H*Q)/(M+S) 2006-02-15 09:37:34.0 2006-02-15 09:37:56.0 2006-02-15 09:38:19.0 2006-02-15 09:38:19.0 45 45 0 1 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 228~~10 31258 9hs21hUG5O Unit CTA1_12, Section CTA1_12-4 SYSFB04 1 R1C2 2006-04-27 12:40:35.0 2006-04-27 12:41:36.0 2006-04-27 12:41:59.0 2006-04-27 12:41:59.0 84 84 0 1 0 1 31629 9hs21hUG5O Unit ES_05, Section ES_05-4 EG59A 5 -663+66 = -197/y 2006-06-01 12:44:09.0 2006-06-01 12:44:26.0 2006-06-01 12:44:26.0 2006-06-01 12:44:26.0 17 17 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 51 31646 b2W4ZO3uLV Unit CTA1_01, Section CTA1_01-1 LDEMO_WKST 1 R1C2 2005-09-07 12:48:20.0 2005-09-07 12:49:40.0 2005-09-07 12:49:40.0 2005-09-07 12:49:40.0 80 80 1 0 0 1 31994 b2W4ZO3uLV Unit CTA1_14, Section CTA1_14-4 TPH15 1 R2C1 2005-09-30 12:15:28.0 2005-09-30 12:16:08.0 2005-09-30 12:16:08.0 2005-09-30 12:16:08.0 40 40 1 0 0 1 Identifying units 33 32301 b2W4ZO3uLV Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-2X-2YGE9 2 ValidEquations 2005-10-14 12:23:38.0 2005-10-14 12:30:38.0 2005-10-14 12:30:38.0 2005-10-14 12:33:07.0 468 468 1 0 0 2 32662 b2W4ZO3uLV Unit CTA1_15, Section CTA1_15-3 SYS09 2 R2C1 2005-11-02 12:17:59.0 2005-11-02 12:18:10.0 2005-11-02 12:18:10.0 2005-11-02 12:18:10.0 11 11 1 0 0 1 Identifying units 64 32972 b2W4ZO3uLV Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE5TRE 2 R8C1 2005-11-29 12:20:30.0 2005-11-29 12:21:19.0 2005-11-29 12:21:19.0 2005-11-29 12:21:19.0 49 49 1 0 0 1 Entering a computed linear value 42 33122 b2W4ZO3uLV Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR09 1 a-factor-1 2005-12-09 13:13:57.0 2005-12-09 13:14:01.0 2005-12-09 13:14:01.0 2005-12-09 13:14:13.0 6 6 1 0 0 2 33338 b2W4ZO3uLV Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR13 1 (8?sqrt(8^2-4*7*1))/14 = x 2005-12-16 12:46:18.0 2005-12-16 12:46:23.0 2005-12-16 12:46:23.0 2005-12-16 12:46:23.0 5 5 1 0 0 1 33759 b2W4ZO3uLV Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD9TRE 1 xMax 2006-02-01 12:42:37.0 2006-02-01 12:42:51.0 2006-02-01 12:42:58.0 2006-02-01 12:42:58.0 21 21 0 1 0 1 Changing axis bounds 59 33996 b2W4ZO3uLV Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 1 FinalAnswer 2006-02-17 12:24:57.0 2006-02-17 12:25:21.0 2006-02-17 12:25:21.0 2006-02-17 12:25:21.0 24 24 1 0 0 1 perform-mult-sp 15 34135 b2W4ZO3uLV Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS08 4 (6x^5)/(4x^5) 2006-02-22 12:38:02.0 2006-02-22 12:38:36.0 2006-02-22 12:38:36.0 2006-02-22 12:38:36.0 34 34 1 0 0 1 34440 b2W4ZO3uLV Unit CTA1_20, Section CTA1_20-2 1PTFB10 1 R6C1 2006-03-08 12:33:19.0 2006-03-08 12:33:27.0 2006-03-08 12:33:27.0 2006-03-08 12:33:27.0 8 8 1 0 0 1 Entering a given~~Convert unit, standard 327~~23 34747 b2W4ZO3uLV Unit CTA1_21, Section CTA1_21-3 JAN08 1 XUnit 2006-03-29 12:19:45.0 2006-03-29 12:19:49.0 2006-03-29 12:19:49.0 2006-03-29 12:19:49.0 4 4 1 0 0 1 34997 b2W4ZO3uLV Unit CTA1_22, Section CTA1_22-1 SYSFB07 1 Intersection 1 Y 2006-04-21 12:34:43.0 2006-04-21 12:34:53.0 2006-04-21 12:34:53.0 2006-04-21 12:34:53.0 10 10 1 0 0 1 Labelling point of intersection 38 35117 b2W4ZO3uLV Unit ES_06, Section ES_06-1 EG63A 4 190.01036161-(-6180.9968y) = 971.46+(-682.98y)-(-264176.664) 2006-05-03 12:40:41.0 2006-05-03 12:40:43.0 2006-05-03 12:40:43.0 2006-05-03 12:40:43.0 2 2 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 23 35273 b2W4ZO3uLV Unit CTA1_24, Section CTA1_24-1 L3REAL21 3 R4C1 2006-05-23 12:37:14.0 2006-05-23 12:37:27.0 2006-05-23 12:37:27.0 2006-05-23 12:37:27.0 13 13 1 0 0 1 Entering a given 419 35391 b2W4ZO3uLV Unit CTA1_25, Section CTA1_25-1 DEC07 1 R1C2 2006-06-01 12:42:33.0 2006-06-01 12:42:36.0 2006-06-01 12:42:57.0 2006-06-01 12:42:57.0 24 24 0 0 3 1 35682 g209g5Vve6 Unit CTA1_08, Section CTA1_08-3 REAL37 1 Slope Field 1 2005-09-16 12:33:15.0 2005-09-16 12:33:17.0 2005-09-16 12:33:17.0 2005-09-16 12:33:17.0 2 2 1 0 0 1 Entering the slope 20 36252 g209g5Vve6 Unit ES_04, Section ES_04-14 LIT23A 1 (n*j+56)/n = r/n 2005-09-30 12:34:20.0 2005-09-30 12:34:30.0 2005-09-30 12:34:53.0 2005-09-30 12:36:36.0 136 136 0 6 4 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 28 36745 g209g5Vve6 Unit CTA1_10, Section CTA1_10-4 DIST02_SP 1 ValidEquations 2005-10-14 12:34:22.0 2005-10-14 12:34:57.0 2005-10-14 12:34:57.0 2005-10-14 12:34:57.0 35 35 1 0 0 1 37170 g209g5Vve6 Unit ES_07, Section ES_07-4 LIT65A 2 (h*q-n*t)/(s+m) = k*(s+m)/(s+m) 2005-11-04 12:40:28.0 2005-11-04 12:40:33.0 2005-11-04 12:40:33.0 2005-11-04 12:41:00.0 32 32 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 61 37642 g209g5Vve6 Unit CTA1_12, Section CTA1_12-4 SYSFB22 1 R1C1 2005-12-14 12:22:52.0 2005-12-14 12:23:08.0 2005-12-14 12:23:08.0 2005-12-14 12:23:08.0 16 16 1 0 0 1 38196 g209g5Vve6 Unit ES_05, Section ES_05-11 LIT87 1 12y = 1-a*x 2006-01-25 12:27:43.0 2006-01-25 12:27:46.0 2006-01-25 12:27:54.0 2006-01-25 12:27:54.0 11 11 0 0 3 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 279 38553 g209g5Vve6 Unit CTA1_14, Section CTA1_14-4 2PTFB16 3 R5C1 2006-02-17 12:27:22.0 2006-02-17 12:27:25.0 2006-02-17 12:27:25.0 2006-02-17 12:27:25.0 3 3 1 0 0 1 Entering a given 205 38923 g209g5Vve6 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT-4X-10 1 GraphChoice1 2006-03-01 12:41:01.0 2006-03-01 12:41:03.0 2006-03-01 12:41:03.0 2006-03-01 12:41:03.0 2 2 1 0 0 1 39308 g209g5Vve6 Unit CTA1_15, Section CTA1_15-3 SYSFB06 1 ValidEquations 2006-03-31 12:22:45.0 2006-03-31 12:23:00.0 2006-03-31 12:23:00.0 2006-03-31 12:23:18.0 25 25 1 0 0 2 39522 g209g5Vve6 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE2TRE 1 R4C2 2006-04-19 12:21:32.0 2006-04-19 12:21:36.0 2006-04-19 12:21:37.0 2006-04-19 12:21:37.0 5 5 0 1 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope~~Entering a computed linear value 254~~204~~24~~45 39718 g209g5Vve6 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR02 1 FQCheckButton 2006-04-28 12:44:41.0 2006-04-28 12:44:43.0 2006-04-28 12:44:43.0 2006-04-28 12:44:43.0 2 2 1 0 0 1 40101 g209g5Vve6 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR06 1 num2-factor-node 2006-05-10 12:29:32.0 2006-05-10 12:29:42.0 2006-05-10 12:29:42.0 2006-05-10 12:29:42.0 10 10 1 0 0 1 qft-num2-sp 17 40437 g209g5Vve6 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD5TRE 1 R7C1 2006-05-26 12:35:52.0 2006-05-26 12:36:02.0 2006-05-26 12:47:48.0 501.5 501.5 0 38 9 0 Entering a computed linear value 80 40588 iyLqACAFyl Unit CTA1_01, Section CTA1_01-2 BH1T22C 1 R5C2 2005-09-07 12:52:04.0 2005-09-07 12:52:08.0 2005-09-07 12:52:15.0 2005-09-07 12:52:15.0 11 11 0 1 0 1 Find Y, Simple~~Using simple numbers~~Using small numbers 5~~7~~7 40933 iyLqACAFyl Unit CTA1_14, Section CTA1_14-4 TPH11 1 R3C2 2005-09-30 12:34:15.0 2005-09-30 12:34:39.0 2005-09-30 12:34:39.0 2005-09-30 12:34:39.0 24 24 1 0 0 1 Using small numbers~~Using difficult numbers~~Write expression, initial and point 39~~17~~11 41272 iyLqACAFyl Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGE4X-11 1 Slope1 2005-10-14 12:46:12.0 2005-10-14 12:46:15.0 2005-10-14 12:46:15.0 2005-10-14 12:46:15.0 3 3 1 0 0 1 Negative Constant, SIF~~Entering slope, SIF 15~~10 41448 iyLqACAFyl Unit CTA1_15, Section CTA1_15-3 SYSFB10 1 R5C3 2005-10-28 12:32:18.0 2005-10-28 12:32:24.0 2005-10-28 12:32:24.0 2005-10-28 12:32:24.0 6 6 1 0 0 1 Entering a given 134 41667 iyLqACAFyl Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE7TRE 2 R7C1 2005-11-16 12:29:13.0 2005-11-16 12:29:13.0 2005-11-16 12:29:13.0 1 0 0 1 Entering a computed linear value 21 41757 iyLqACAFyl Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR34 1 di-expr 2005-11-18 12:34:48.0 2005-11-18 12:35:38.0 2005-11-18 12:35:38.0 2005-11-18 12:35:38.0 50 50 1 0 0 1 42111 iyLqACAFyl Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR07 1 (-9+sqrt(9^2-4*1*20))/(2*1) = x 2005-12-07 12:24:27.0 2005-12-07 12:24:32.0 2005-12-07 12:24:32.0 2005-12-07 12:24:32.0 5 5 1 0 0 1 42552 iyLqACAFyl Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD3TRE 1 R8C1 2006-01-04 12:26:31.0 2006-01-04 12:27:15.0 2006-01-04 12:27:15.0 2006-01-04 12:27:15.0 44 44 1 0 0 1 Entering a given~~Entering a given linear value 225~~36 42587 iyLqACAFyl Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 1 (2(x^5)(y^4))(y^2) 2006-01-04 12:35:47.0 2006-01-04 12:35:58.0 2006-01-04 12:35:58.0 2006-01-04 12:35:58.0 11 11 1 0 0 1 42683 iyLqACAFyl Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01-FIXED 1 row3-N-x 2006-01-06 12:20:21.0 2006-01-06 12:20:30.0 2006-01-06 12:20:30.0 2006-01-06 12:20:30.0 9 9 1 0 0 1 42964 iyLqACAFyl Unit CTA1_20, Section CTA1_20-2 2PTFB22 1 4.8X = 48 2006-01-20 12:36:42.0 2006-01-20 12:38:35.0 2006-01-20 12:38:35.0 2006-01-20 12:38:35.0 113 113 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 62~~119 43247 iyLqACAFyl Unit CTA1_21, Section CTA1_21-3 JAN07 2 yScale 2006-02-10 12:36:39.0 2006-02-10 12:36:59.0 2006-02-10 12:36:59.0 2006-02-10 12:52:55.0 62 62 1 0 0 8 Changing axis intervals 34 43424 iyLqACAFyl Unit CTA1_22, Section CTA1_22-1 SYSFB07 2 Intersection 1 X 2006-03-29 12:23:54.0 2006-03-29 12:24:15.0 2006-03-29 12:24:15.0 2006-03-29 12:24:15.0 21 21 1 0 0 1 Labelling point of intersection 27 43448 iyLqACAFyl Unit ES_06, Section ES_06-1 EG63 2 -79.87+99.08x*(-86/(80x)-93.22) = -52.14(x-80.17)+62.61 2006-03-29 12:35:36.0 2006-03-29 12:36:55.0 2006-03-29 12:36:55.0 2006-03-29 12:36:55.0 79 79 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 13 43534 iyLqACAFyl Unit CTA1_24, Section CTA1_24-1 NOV05 1 27.5X = 206.25 2006-03-31 12:34:19.0 2006-03-31 12:34:25.0 2006-03-31 12:34:25.0 2006-03-31 12:34:25.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 86~~158 43669 iyLqACAFyl Unit CTA1_25, Section CTA1_25-1 PERCENT09 1 xMin 2006-04-07 12:25:33.0 2006-04-07 12:25:42.0 2006-04-07 12:25:42.0 2006-04-07 12:25:42.0 9 9 1 0 0 1 Changing axis bounds 96 43944 l8kuAhlIWI Unit ES_02, Section ES_02-10 EG44 3 -2 = -10/x 2005-10-03 13:36:02.0 2005-10-03 13:36:23.0 2005-10-03 13:36:23.0 2005-10-03 13:36:23.0 21 21 1 0 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 10 44047 l8kuAhlIWI Unit CTA1_13, Section CTA1_13-1 PROP02 2 R7C1 2005-10-14 12:40:13.0 2005-10-14 12:40:24.0 2005-10-14 12:40:24.0 2005-10-14 12:40:24.0 11 11 1 0 0 1 Entering a given 31 44877 l8kuAhlIWI Unit CTA1_06, Section CTA1_06-5 FBSMR2 3 xMin 2006-05-03 13:57:30.0 2006-05-03 13:57:53.0 2006-05-03 13:57:53.0 2006-05-03 13:57:53.0 23 23 1 0 0 1 Changing axis bounds 119 45036 l8kuAhlIWI Unit ES_03, Section ES_03-4 EG48A 3 -6 = 45y 2006-06-05 14:13:40.0 2006-06-05 14:14:29.0 2006-06-05 14:14:29.0 2006-06-05 14:14:29.0 49 49 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 69~~121 45142 QER9PsCgBT Unit CTA1_01, Section CTA1_01-2 BH1T24A 1 R4C1 2005-09-07 12:48:49.0 2005-09-07 12:48:54.0 2005-09-07 12:48:54.0 2005-09-07 12:48:54.0 5 5 1 0 0 1 Entering a given~~Convert unit, standard 9~~1 45312 QER9PsCgBT Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLE-3X-13 1 xMin 2005-09-14 12:22:21.0 2005-09-14 12:22:23.0 2005-09-14 12:22:23.0 2005-09-14 12:22:23.0 2 2 1 0 0 1 45635 QER9PsCgBT Unit CTA1_15, Section CTA1_15-3 SYS07 1 R1C2 2005-09-21 12:43:52.0 2005-09-21 12:44:11.0 2005-09-21 12:44:11.0 2005-09-21 12:44:11.0 19 19 1 0 0 1 45762 QER9PsCgBT Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE8TRE 1 yMax 2005-09-23 12:34:26.0 2005-09-23 12:34:33.0 2005-09-23 12:34:33.0 2005-09-23 12:34:33.0 7 7 1 0 0 2 Changing axis bounds 48 45875 QER9PsCgBT Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR09 1 a-factor-1 2005-09-28 12:29:37.0 2005-09-28 12:29:39.0 2005-09-28 12:29:39.0 2005-09-28 12:29:56.0 4 4 1 0 0 2 46084 QER9PsCgBT Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR04 2 den1-factor-node 2005-09-29 12:36:15.0 2005-09-29 12:36:18.0 2005-09-29 12:36:18.0 2005-09-29 12:36:18.0 3 3 1 0 0 1 qft-den-sp 8 46320 QER9PsCgBT Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD4TRE 2 R10C1 2005-09-30 12:49:47.0 2005-09-30 12:49:57.0 2005-09-30 12:50:52.0 2005-09-30 12:50:52.0 35 35 0 0 1 1 Entering a computed linear value 48 46520 QER9PsCgBT Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 1 x1R1 2005-10-05 12:48:21.0 2005-10-05 12:48:22.0 2005-10-05 12:48:22.0 2005-10-05 12:48:22.0 1 1 1 0 0 1 46740 QER9PsCgBT Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 4 (4y^3)/y^3 2005-10-07 12:30:25.0 2005-10-07 12:30:28.0 2005-10-07 12:30:28.0 2005-10-07 12:32:54.0 33 33 1 0 0 3 46975 QER9PsCgBT Unit CTA1_20, Section CTA1_20-2 1PTFB10 1 R2C1 2005-10-11 14:11:18.0 2005-10-11 14:11:25.0 2005-10-11 14:11:25.0 2005-10-11 14:11:25.0 7 7 1 0 0 1 Identifying units 65 47189 QER9PsCgBT Unit CTA1_21, Section CTA1_21-3 DEC06 1 R1C1 2005-10-12 12:43:43.0 2005-10-12 12:44:09.0 2005-10-12 12:44:09.0 2005-10-12 12:44:09.0 26 26 1 0 0 1 47421 QER9PsCgBT Unit CTA1_22, Section CTA1_22-1 SYS19 1 Intersection 1 X 2005-10-13 14:11:28.0 2005-10-13 14:11:38.0 2005-10-13 14:11:38.0 2005-10-13 14:11:38.0 10 10 1 0 0 1 Labelling point of intersection 25 47450 QER9PsCgBT Unit ES_06, Section ES_06-1 EG63 2 68.5025 = -547.9152+222.8554x 2005-10-14 12:19:57.0 2005-10-14 12:20:05.0 2005-10-14 12:20:05.0 2005-10-14 12:20:05.0 8 8 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 65~~16 47540 QER9PsCgBT Unit CTA1_24, Section CTA1_24-1 REAL06 1 R7C1 2005-10-14 12:34:58.0 2005-10-14 12:35:02.0 2005-10-14 12:35:02.0 2005-10-14 12:35:02.0 4 4 1 0 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 134~~10~~77 47732 QER9PsCgBT Unit CTA1_25, Section CTA1_25-1 DEC07 1 R3C2 2005-10-19 12:28:45.0 2005-10-19 12:28:52.0 2005-10-19 12:28:52.0 2005-10-19 12:28:52.0 7 7 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 163~~50~~98 47867 QER9PsCgBT Unit CTA1_26, Section CTA1_26-1 BH1T06 1 yMax 2005-10-19 12:47:10.0 2005-10-19 12:47:15.0 2005-10-19 12:47:26.0 2005-10-19 12:47:26.0 16 16 0 4 1 2 Changing axis bounds 158 47984 QER9PsCgBT Unit CTA1_27, Section CTA1_27-1 PROP14 1 R3C1 2005-10-21 12:19:16.0 2005-10-21 12:19:19.0 2005-10-21 12:19:19.0 2005-10-21 12:19:19.0 3 3 1 0 0 1 Define Variable 84 48754 QER9PsCgBT Unit QuadLinearFuncTrans, Section QLFuncTrans9 TRANSFORMN002 1 ParentCurveChoice 2005-10-24 13:59:08.0 2005-10-24 13:59:10.0 2005-10-24 13:59:10.0 2005-10-24 13:59:10.0 1 1 1 0 0 1 Identify Parent Curve 74 49137 Ugr5eIIEf0 Unit CTA1_01, Section CTA1_01-1 LDEMO_WKST 1 R5C2 2005-09-07 12:51:16.0 2005-09-07 12:51:46.0 2005-09-07 12:51:46.0 2005-09-07 12:51:46.0 30 30 1 0 0 1 Find Y, Simple~~Using simple numbers~~Using small numbers 2~~2~~2 49318 Ugr5eIIEf0 Unit ES_05, Section ES_05-8 EG61 1 x1R1 2005-09-14 12:36:33.0 2005-09-14 12:36:37.0 2005-09-14 12:36:37.0 2005-09-14 12:36:37.0 4 4 1 0 0 1 49946 Ugr5eIIEf0 Unit CTA1_14, Section CTA1_14-4 2PTFB16 1 R1C1 2005-09-28 13:57:04.0 2005-09-28 13:57:26.0 2005-09-28 13:57:51.0 2005-09-28 13:57:51.0 47 47 0 1 0 1 50144 Ugr5eIIEf0 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-3X-YLT6 1 Formula 1 XIntercept 2005-10-03 11:31:19.0 2005-10-03 11:31:25.0 2005-10-03 11:31:25.0 2005-10-03 11:31:25.0 6 6 1 0 0 1 Placing coordinate point 31 50540 Ugr5eIIEf0 Unit CTA1_15, Section CTA1_15-3 SYS07 1 R5C1 2005-10-12 14:16:48.0 2005-10-12 14:16:55.0 2005-10-12 14:16:55.0 2005-10-12 14:16:55.0 7 7 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, negative slope 102~~66~~29 50797 Ugr5eIIEf0 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE2TRE 2 R5C3 2005-10-20 11:26:38.0 2005-10-20 11:26:44.0 2005-10-20 11:26:44.0 2005-10-20 11:26:44.0 6 6 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, any form~~Entering a computed quadratic value 147~~105~~10~~10 50981 Ugr5eIIEf0 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR23 1 x^2+5x+4 2005-10-21 14:00:53.0 2005-10-21 14:01:09.0 2005-10-21 14:01:09.0 2005-10-21 14:01:09.0 16 16 1 0 0 1 51300 Ugr5eIIEf0 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR05 1 (-10+8)/2 = x 2005-10-24 11:51:49.0 2005-10-24 11:51:51.0 2005-10-24 11:51:51.0 2005-10-24 11:51:51.0 2 2 1 0 0 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 55 52021 Ugr5eIIEf0 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD10TRE 2 b-factor-node 2005-10-28 13:43:40.0 2005-10-28 13:43:44.0 2005-10-28 13:43:44.0 2005-10-28 13:46:58.0 7 7 1 0 0 2 52115 Ugr5eIIEf0 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 yR2 2005-10-28 13:58:23.0 2005-10-28 13:58:28.0 2005-10-28 13:58:28.0 2005-10-28 13:58:28.0 5 5 1 0 0 1 perform-mult-row2-sp 16 52664 Ugr5eIIEf0 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 5 row2y 2005-11-02 11:35:30.0 2005-11-02 11:35:32.0 2005-11-02 11:35:32.0 2005-11-02 11:35:32.0 2 2 1 0 0 1 53015 Ugr5eIIEf0 Unit CTA1_20, Section CTA1_20-2 TOYSALES 1 R5C2 2005-11-04 11:33:46.0 2005-11-04 11:34:02.0 2005-11-04 11:34:02.0 2005-11-04 11:34:02.0 16 16 1 0 0 1 Entering a given 348 53206 Ugr5eIIEf0 Unit CTA1_21, Section CTA1_21-3 NOV14 1 Formula 1 Coeff 0 2005-11-04 14:11:23.0 2005-11-04 14:11:33.0 2005-11-04 14:11:52.0 2005-11-04 14:11:52.0 29 29 0 3 4 1 Setting the y-intercept 12 53435 Ugr5eIIEf0 Unit CTA1_22, Section CTA1_22-1 SYSFB15 1 xScale 2005-11-09 12:03:58.0 2005-11-09 12:04:05.0 2005-11-09 12:04:05.0 2005-11-09 12:04:05.0 7 7 1 0 0 1 Changing axis intervals 60 53550 Ugr5eIIEf0 Unit ES_06, Section ES_06-1 EG63 3 46.11(y-25.13)+49.08 = 68.96+85.39y*(16/(-95y)-6.5) 2005-11-09 13:43:58.0 2005-11-09 13:44:16.0 2005-11-09 13:44:16.0 2005-11-09 13:44:16.0 18 18 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 21 53786 Ugr5eIIEf0 Unit CTA1_24, Section CTA1_24-1 BH1T37 1 R6C1 2005-11-10 11:47:22.0 2005-11-10 11:47:29.0 2005-11-10 11:47:29.0 2005-11-10 11:47:29.0 7 7 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 243~~139~~73 53928 Ugr5eIIEf0 Unit CTA1_25, Section CTA1_25-1 PERCENT09 1 R1C2 2005-11-11 12:01:41.0 2005-11-11 12:01:52.0 2005-11-11 12:01:52.0 2005-11-11 12:01:52.0 11 11 1 0 0 1 54149 Ugr5eIIEf0 Unit CTA1_26, Section CTA1_26-1 PERCENT02 1 XUnit 2005-11-16 11:39:29.0 2005-11-16 11:39:33.0 2005-11-16 11:39:33.0 2005-11-16 11:39:33.0 4 4 1 0 0 1 54331 Ugr5eIIEf0 Unit CTA1_27, Section CTA1_27-1 PERCENT16 1 230 = 0.728X 2005-11-16 14:01:51.0 2005-11-16 14:01:58.0 2005-11-16 14:01:58.0 2005-11-16 14:01:58.0 7 7 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 156~~267 55270 Ugr5eIIEf0 Unit QuadLinearFuncTrans, Section QLFuncTrans8 TRANSFORMG056 2 ParentCurveChoice 2005-11-18 14:03:57.0 2005-11-18 14:03:58.0 2005-11-18 14:03:58.0 2005-11-18 14:03:58.0 0.5 0.5 1 0 0 1 Identify Parent Curve 95 56219 XqBaV46VbC Unit CTA1_13, Section CTA1_13-1 PROP09 1 R7C1 2005-09-14 12:41:46.0 2005-09-14 12:41:51.0 2005-09-14 12:41:51.0 2005-09-14 12:41:51.0 5 5 1 0 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 15~~7~~15 56604 XqBaV46VbC Unit CTA1_06, Section CTA1_06-3 JAN06 1 xScale 2005-09-29 12:51:46.0 2005-09-29 12:51:51.0 2005-09-29 12:51:51.0 2005-09-29 12:51:56.0 10 10 1 0 0 2 Changing axis intervals 26 57101 XqBaV46VbC Unit ES_03, Section ES_03-7 LIT8 1 w+r = 7 2005-10-21 12:19:57.0 2005-10-21 12:20:42.0 2005-10-21 12:20:42.0 2005-10-21 12:20:42.0 45 45 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 67~~2 57384 XqBaV46VbC Unit CTA1_08, Section CTA1_08-3 BH1T07 1 R3C1 2005-11-02 12:46:14.0 2005-11-02 12:46:17.0 2005-11-02 12:46:17.0 2005-11-02 12:46:17.0 3 3 1 0 0 1 Define Variable 53 57913 XqBaV46VbC Unit ES_04, Section ES_04-13 LIT33 1 17/b = w 2006-01-04 12:44:53.0 2006-01-04 12:44:56.0 2006-01-04 12:44:57.0 4 4 0 0 2 0 [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] 6 58340 XqBaV46VbC Unit CTA1_10, Section CTA1_10-3 DISTFB04_SP 1 R7C1 2006-03-03 12:28:11.0 2006-03-03 12:28:19.0 2006-03-03 12:28:19.0 2006-03-03 12:28:19.0 8 8 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 115~~56~~89 58676 XqBaV46VbC Unit ES_07, Section ES_07-4 LIT66A 1 -x*z-c*h+c*h = -x*s+t*n+c*h 2006-03-29 12:33:16.0 2006-03-29 12:33:24.0 2006-03-29 12:33:24.0 2006-03-29 12:33:33.0 17 17 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 72 59240 XqBaV46VbC Unit CTA1_12, Section CTA1_12-5 SYSFB05 1 R2C1 2006-05-12 10:03:40.0 2006-05-12 10:04:00.0 2006-05-12 10:04:00.0 2006-05-12 10:04:00.0 20 20 1 0 0 1 Identifying units 163 59521 XqBaV46VbC Unit ES_05, Section ES_05-2 EG42C 1 5.79y/5.79 = -1.56/5.79 2006-06-01 12:38:26.0 2006-06-01 12:38:30.0 2006-06-01 12:38:30.0 2006-06-01 12:39:28.0 62 62 1 3 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 79 59808 y8BlGe62E7 Unit ES_03, Section ES_03-7 LIT10 1 a-f = 0 2005-09-16 12:21:36.0 2005-09-16 12:21:43.0 2005-09-16 12:21:43.0 2005-09-16 12:21:43.0 7 7 1 0 0 1 60110 y8BlGe62E7 Unit CTA1_08, Section CTA1_08-3 REAL37 1 R1C1 2005-09-28 12:24:19.0 2005-09-28 12:25:01.0 2005-09-28 12:25:01.0 2005-09-28 12:25:01.0 42 42 1 0 0 1 60537 y8BlGe62E7 Unit ES_04, Section ES_04-12 EG58 4 0 = 3Y 2005-10-12 12:40:00.0 2005-10-12 12:40:13.0 2005-10-12 12:40:13.0 2005-10-12 12:40:13.0 13 13 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 37~~90 61060 y8BlGe62E7 Unit CTA1_10, Section CTA1_10-4 FOR08_SP 1 1000+5000X = 1350 2005-11-18 12:38:36.0 2005-11-18 12:38:44.0 2005-11-18 12:38:44.0 2005-11-18 12:38:44.0 8 8 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 144 61436 y8BlGe62E7 Unit ES_07, Section ES_07-4 LIT70A 2 INNERr1 2006-01-06 12:34:25.0 2006-01-06 12:34:31.0 2006-01-06 12:34:31.0 2006-01-06 12:34:31.0 6 6 1 0 0 1 61745 y8BlGe62E7 Unit CTA1_12, Section CTA1_12-4 SYSFB04 1 R7C1 2006-02-15 09:40:08.0 2006-02-15 09:40:33.0 2006-02-15 09:40:33.0 2006-02-15 09:40:33.0 25 25 1 0 0 1 Entering a given 107 62219 y8BlGe62E7 Unit ES_05, Section ES_05-12 LIT38 1 y-b = m*x+b-b 2006-03-08 12:47:24.0 2006-03-08 12:47:29.0 2006-03-08 12:47:29.0 2006-03-08 12:47:34.0 10 10 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 128 62555 y8BlGe62E7 Unit CTA1_14, Section CTA1_14-4 2PTFB10 1 R7C1 2006-05-05 12:44:06.0 2006-05-05 12:44:11.0 2006-05-05 12:44:11.0 2006-05-05 12:44:11.0 5 5 1 0 0 1 Using simple numbers~~Using small numbers~~Find X, positive slope 152~~136~~67 62867 y8BlGe62E7 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLT250 2 YCoordinate1_1 2006-06-05 12:47:52.0 2006-06-05 12:49:17.0 2006-06-05 12:49:46.0 114 114 0 3 3 0 Entering a point~~Positive Constants, GLF 5~~7 63023 yDO9pl8GC0 Unit ES_03, Section ES_03-6 EG52 2 -4.4 = -0.7Y+Y 2005-09-28 12:19:09.0 2005-09-28 12:19:17.0 2005-09-28 12:19:17.0 2005-09-28 12:19:17.0 8 8 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 22 63375 yDO9pl8GC0 Unit CTA1_08, Section CTA1_08-3 L5FB02 1 Formula 1 Coeff 0 2005-10-12 12:29:11.0 2005-10-12 12:29:14.0 2005-10-12 12:29:14.0 2005-10-12 12:29:14.0 3 3 1 0 0 1 Setting the y-intercept 17 63869 yDO9pl8GC0 Unit ES_04, Section ES_04-16 LIT57A 1 jR2 2005-10-28 12:29:00.0 2005-10-28 12:29:02.0 2005-10-28 12:29:02.0 2005-10-28 12:29:02.0 2 2 1 0 0 1 perform-mult-row2-sp 21 64262 yDO9pl8GC0 Unit CTA1_10, Section CTA1_10-6 DISTFB11_SP 1 1260+7X = 4300 2005-11-18 12:25:47.0 2005-11-18 12:25:54.0 2005-11-18 12:25:54.0 2005-11-18 12:25:54.0 7 7 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 150 64468 yDO9pl8GC0 Unit ES_07, Section ES_07-4 LIT65A 1 di-expr 2005-12-07 12:27:23.0 2005-12-07 12:27:25.0 2005-12-07 12:27:25.0 2005-12-07 12:27:25.0 2 2 1 0 0 1 64777 yDO9pl8GC0 Unit CTA1_12, Section CTA1_12-4 SYSFB04 1 R5C1 2005-12-21 12:49:36.0 2005-12-21 12:49:41.0 2005-12-21 12:49:41.0 2005-12-21 12:49:41.0 5 5 1 0 0 1 65187 yDO9pl8GC0 Unit ES_05, Section ES_05-12 LIT38 1 y = m*x+b 2006-01-25 12:38:39.0 2006-01-25 12:38:49.0 2006-01-25 12:38:49.0 2006-01-25 12:38:49.0 10 10 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 246 65648 yDO9pl8GC0 Unit CTA1_14, Section CTA1_14-4 2PTFB13 1 m = -5*-15 2006-03-24 12:45:20.0 2006-03-24 12:45:30.0 2006-03-24 12:45:30.0 2006-03-24 12:45:30.0 10 10 1 0 0 1 65891 yDO9pl8GC0 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-2X-2YGE9 1 -2y = 9 2006-04-05 12:50:27.0 2006-04-05 12:50:31.0 2006-04-05 12:50:31.0 2006-04-05 12:50:31.0 4 4 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 347~~89 66196 yDO9pl8GC0 Unit CTA1_15, Section CTA1_15-3 SYSFB10 1 R2C2 2006-04-28 12:29:25.0 2006-04-28 12:29:32.0 2006-04-28 12:29:32.0 2006-04-28 12:29:32.0 7 7 1 0 0 1 Identifying units 144 66384 yDO9pl8GC0 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE4TRE 2 R3C3 2006-05-19 12:22:21.0 2006-05-19 12:23:50.0 2006-05-19 12:25:50.0 2006-05-19 12:25:50.0 209 209 0 6 8 1 Using simple numbers~~Using small numbers~~Write expression, quadratic 191~~155~~2 66913 0jSb6S70X1 Unit ES_04, Section ES_04-12 EG58 4 3y+5(-1y+3) = 2 2005-09-30 13:53:18.0 2005-09-30 13:53:22.0 2005-09-30 13:53:22.0 2005-09-30 13:53:22.0 4 4 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 78 67504 0jSb6S70X1 Unit CTA1_10, Section CTA1_10-5 DIST05_SP 1 R7C2 2005-10-19 14:04:04.0 2005-10-19 14:04:12.0 2005-10-19 14:04:27.0 2005-10-19 14:04:27.0 13 13 0 1 0 1 Entering a given 71 67752 0jSb6S70X1 Unit ES_07, Section ES_07-5 LIT82 1 v*k*h+v*h = w*h 2005-10-26 14:05:25.0 2005-10-26 14:05:35.0 2005-10-26 14:06:09.0 2005-10-26 14:06:09.0 44 44 0 4 3 1 [SkillRule: Extract to consolidate vars; {factor; factorb; factorc; factord}] 27 68239 0jSb6S70X1 Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 xScale 2005-11-29 13:58:01.0 2005-11-29 13:58:06.0 2005-11-29 13:58:06.0 2005-11-29 13:58:06.0 5 5 1 0 0 1 Changing axis intervals 20 68497 0jSb6S70X1 Unit ES_05, Section ES_05-9 EG62 5 124.94x = -1.49 2005-12-07 13:55:38.0 2005-12-07 13:55:51.0 2005-12-07 13:55:51.0 2005-12-07 13:55:51.0 13 13 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 85~~253 69034 0jSb6S70X1 Unit CTA1_14, Section CTA1_14-4 2PTFB18 1 25X = 500 2006-02-03 14:03:08.0 2006-02-03 14:03:12.0 2006-02-03 14:03:12.0 2006-02-03 14:03:12.0 4 4 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 112~~319 69178 0jSb6S70X1 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 XGE0 1 Formula 1 Point 2 2006-02-09 13:58:41.0 2006-02-09 13:58:44.0 2006-02-09 13:58:52.0 2006-02-09 13:58:52.0 11 11 0 1 0 1 Placing coordinate point 26 69588 0jSb6S70X1 Unit CTA1_15, Section CTA1_15-3 SYS09 1 YLabel 2006-03-08 13:58:20.0 2006-03-08 13:58:30.0 2006-03-08 13:58:33.0 2006-03-08 13:58:33.0 13 13 0 1 0 1 Labelling the axes 51 69825 0jSb6S70X1 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE5TRE 1 xMax 2006-03-17 14:09:05.0 2006-03-17 14:09:24.0 2006-03-17 14:09:38.0 2006-03-17 14:09:38.0 33 33 0 2 0 1 Changing axis bounds 72 69961 0jSb6S70X1 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR21 1 c-factor-2 2006-03-31 14:07:19.0 2006-03-31 14:07:20.0 2006-03-31 14:08:18.0 2006-03-31 14:08:30.0 28.5 28.5 0 11 0 2 70363 0jSb6S70X1 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR05 1 (-10?sqrt(10^2-4*1*9))/2 = x 2006-04-21 13:57:25.0 2006-04-21 13:57:28.0 2006-04-21 13:57:28.0 2006-04-21 13:57:28.0 3 3 1 0 0 1 70858 0jSb6S70X1 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD9TRE 1 -4.9x^2+9.8x-3.675 = 0 2006-05-10 14:04:32.0 2006-05-10 14:04:39.0 2006-05-10 14:04:39.0 2006-05-10 14:04:39.0 7 7 1 0 0 1 70990 0jSb6S70X1 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 x1R1 2006-05-12 10:48:12.0 2006-05-12 10:48:14.0 2006-05-12 10:48:14.0 2006-05-12 10:48:14.0 2 2 1 0 0 1 71277 0jSb6S70X1 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01-FIXED 1 FinalAnswer 2006-05-19 14:03:10.0 2006-05-19 14:03:29.0 2006-05-19 14:03:29.0 2006-05-19 14:16:36.0 411 411 1 5 1 4 simplify-fractions-sp~~perform-mult-r-sp 47~~17 71358 0jSb6S70X1 Unit CTA1_20, Section CTA1_20-1 1PTFB16 1 0.135X+35.2 = 0 2006-05-22 14:12:44.0 2006-05-22 14:12:48.0 2006-05-22 14:12:48.0 2006-05-22 14:12:48.0 4 4 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 317 71844 1to8tgu4IT Unit ES_04, Section ES_04-15 LIT59 2 r*y = v-s-b-r*x 2005-10-26 13:46:42.0 2005-10-26 13:46:48.0 2005-10-26 13:46:48.0 2005-10-26 13:46:48.0 6 6 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 98 72219 1to8tgu4IT Unit CTA1_10, Section CTA1_10-6 DISTFB10_SP 1 R1C2 2005-12-02 14:02:09.0 2005-12-02 14:02:33.0 2005-12-02 14:02:33.0 2005-12-02 14:02:33.0 24 24 1 0 0 1 72401 1to8tgu4IT Unit ES_07, Section ES_07-4 LIT64A 1 y*j+z*u-y*j = j*c+g*x-y*j 2005-12-16 13:58:03.0 2005-12-16 13:58:07.0 2005-12-16 13:58:07.0 2005-12-16 13:58:26.0 23 23 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 66 72752 1to8tgu4IT Unit CTA1_12, Section CTA1_12-4 SYSFB04 2 R1C2 2006-02-10 14:12:01.0 2006-02-10 14:12:28.0 2006-02-10 14:12:28.0 2006-02-10 14:12:28.0 27 27 1 0 0 1 73182 1to8tgu4IT Unit ES_05, Section ES_05-9 EG62 5 -15.71x = -88.11 2006-03-03 14:12:24.0 2006-03-03 14:12:34.0 2006-03-03 14:12:34.0 2006-03-03 14:12:34.0 10 10 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 268~~57 73695 1to8tgu4IT Unit CTA1_14, Section CTA1_14-4 IPCEVEREST 1 R2C2 2006-05-10 14:17:31.0 2006-05-10 14:17:37.0 2006-05-10 14:17:37.0 2006-05-10 14:17:37.0 6 6 1 0 0 1 Identifying units 114 73767 1to8tgu4IT Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 4X-5YGT40 2 ShadeButton1 2006-05-24 14:16:43.0 2006-05-24 14:16:50.0 2006-05-24 14:16:54.0 2006-05-24 14:16:54.0 11 11 0 1 0 1 Excluding the line when shading~~Shading greater than~~Shading GLF equation with positive slope 4~~4~~2 73926 5LMy832c47 Unit CTA1_01, Section CTA1_01-3 BH1T34A 1 R4C2 2005-09-16 13:55:17.0 2005-09-16 13:55:38.0 2005-09-16 13:55:38.0 2005-09-16 13:55:38.0 21 21 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope 44~~23~~11 74274 5LMy832c47 Unit CTA1_02, Section CTA1_02-4 L2FB14C 1 R3C1 2005-10-05 14:17:30.0 2005-10-05 14:17:34.0 2005-10-05 14:17:34.0 2005-10-05 14:17:34.0 4 4 1 0 0 1 Define Variable 30 74476 5LMy832c47 Unit ES_01, Section ES_01-9 EG26 1 -7*-8 = y/-8*-8 2005-10-12 14:17:10.0 2005-10-12 14:17:40.0 2005-10-12 14:17:40.0 2005-10-12 14:18:00.0 50 50 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 2 74689 5LMy832c47 Unit CTA1_04, Section CTA1_04-4 BH1T47A 1 R1C2 2005-10-19 14:11:21.0 2005-10-19 14:11:29.0 2005-10-19 14:11:29.0 2005-10-19 14:11:29.0 8 8 1 0 0 1 74835 5LMy832c47 Unit ES_02, Section ES_02-7 EG41 3 -6*-8 = y 2005-10-21 14:14:16.0 2005-10-21 14:14:22.0 2005-10-21 14:14:22.0 2005-10-21 14:14:22.0 6 6 1 0 0 1 74998 5LMy832c47 Unit CTA1_13, Section CTA1_13-1 PROP02 1 ValidEquations 2005-10-28 14:19:05.0 2005-10-28 14:19:18.0 2005-10-28 14:19:18.0 2005-10-28 14:19:19.0 14 14 1 0 0 2 75504 5LMy832c47 Unit CTA1_06, Section CTA1_06-4 L6FB18 1 R4C1 2005-11-29 13:46:44.0 2005-11-29 13:46:50.0 2005-11-29 13:46:50.0 2005-11-29 13:46:50.0 6 6 1 0 0 1 Entering a given 276 75799 5LMy832c47 Unit ES_03, Section ES_03-6 EG52A 1 -45.7x/-45.7 = 14.5/-45.7 2005-12-09 14:11:13.0 2005-12-09 14:11:15.0 2005-12-09 14:11:15.0 2005-12-09 14:11:47.0 34 34 1 1 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 41 75995 5LMy832c47 Unit CTA1_08, Section CTA1_08-2 FEB02 1 YLabel 2005-12-21 13:56:28.0 2005-12-21 13:57:55.0 2005-12-21 13:57:55.0 2005-12-21 13:57:55.0 87 87 1 0 0 1 Labelling the axes 81 76540 5LMy832c47 Unit ES_04, Section ES_04-14 LIT30A 1 u/(623-k) = (623-k)*n/(623-k) 2006-01-25 14:02:28.0 2006-01-25 14:02:44.0 2006-01-25 14:02:52.0 2006-01-25 14:02:59.0 31 31 0 1 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 92 77003 5LMy832c47 Unit CTA1_10, Section CTA1_10-6 DISTFB11_SP 1 7X = 3040 2006-02-17 14:04:03.0 2006-02-17 14:04:09.0 2006-02-17 14:04:09.0 2006-02-17 14:04:09.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 140~~315 77114 5LMy832c47 Unit ES_07, Section ES_07-3 LIT65 1 g*n-m*s = j*(r+k) 2006-02-22 14:07:37.0 2006-02-22 14:07:48.0 2006-02-22 14:07:48.0 2006-02-22 14:07:48.0 11 11 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 334 77492 5LMy832c47 Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 R3C1 2006-03-20 13:14:34.0 2006-03-20 13:14:36.0 2006-03-20 13:14:36.0 2006-03-20 13:14:36.0 2 2 1 0 0 1 Define Variable 129 77738 5LMy832c47 Unit ES_05, Section ES_05-12 LIT88 1 y = 0-x/4 2006-03-31 13:56:22.0 2006-03-31 13:56:29.0 2006-03-31 13:56:35.0 2006-03-31 13:56:35.0 13 13 0 0 2 1 [SkillRule: Consolidate vars, no coeff; CLT] 67 78208 5LMy832c47 Unit CTA1_14, Section CTA1_14-4 LDEMO_PTPT 1 R2C1 2006-04-28 13:47:29.0 2006-04-28 13:47:48.0 2006-04-28 13:47:58.0 2006-04-28 13:47:58.0 27 27 0 2 0 1 Identifying units 242 78472 5LMy832c47 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLEX+7 1 Formula 1 Coeff 1 2006-05-03 14:12:16.0 2006-05-03 14:12:22.0 2006-05-03 14:12:22.0 2006-05-03 14:12:22.0 6 6 1 0 0 1 Placing coordinate point 42 78797 5LMy832c47 Unit CTA1_15, Section CTA1_15-3 SYS07 1 R3C3 2006-05-12 10:47:38.0 2006-05-12 10:48:05.0 2006-05-12 10:48:05.0 2006-05-12 10:48:05.0 27 27 1 0 0 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 340~~183~~32 79129 5LMy832c47 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE2TRE 2 Point 1.4 2006-05-26 14:05:26.0 2006-05-26 14:06:52.0 2006-05-26 14:06:52.0 86 86 0 0 1 0 Correctly placing points 25 79194 5LMy832c47 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR42 1 FQCheckButton 2006-05-31 14:20:06.0 2006-05-31 14:20:32.0 2006-05-31 14:20:32.0 2006-05-31 14:20:32.0 26 26 1 0 0 1 79474 668lBbaKFE Unit CTA1_01, Section CTA1_01-4 JAN13A 1 R5C2 2005-09-28 14:03:54.0 2005-09-28 14:04:26.0 2005-09-28 14:04:26.0 2005-09-28 14:04:26.0 32 32 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 86~~52~~20 79854 668lBbaKFE Unit CTA1_02, Section CTA1_02-4 REAL19A 1 R1C1 2005-10-14 14:15:47.0 2005-10-14 14:16:34.0 2005-10-14 14:16:34.0 2005-10-14 14:16:34.0 47 47 1 0 0 1 80204 668lBbaKFE Unit ES_01, Section ES_01-7 EG22 6 -1 = -5+y 2005-10-26 14:17:29.0 2005-10-26 14:17:36.0 2005-10-26 14:17:41.0 2005-10-26 14:17:41.0 12 12 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 26~~9 80540 668lBbaKFE Unit CTA1_04, Section CTA1_04-4 L5FB04C 1 R7C1 2005-11-18 14:13:27.0 2005-11-18 14:13:31.0 2005-11-18 14:13:31.0 2005-11-18 14:13:31.0 4 4 1 0 0 1 Using small numbers~~Find X, negative slope~~Using difficult numbers 128~~6~~35 80862 668lBbaKFE Unit ES_02, Section ES_02-9 EG44 9 7/x*x = 2x 2005-12-14 13:45:57.0 2005-12-14 13:46:01.0 2005-12-14 13:46:01.0 2005-12-14 13:46:01.0 4 4 1 0 0 1 81062 668lBbaKFE Unit CTA1_13, Section CTA1_13-1 PROP06 2 R7C2 2005-12-21 14:00:55.0 2005-12-21 14:01:16.0 2005-12-21 14:01:16.0 21 21 0 1 0 0 Find Y, Simple~~Using small numbers~~Using difficult numbers 49~~159~~60 81811 668lBbaKFE Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 yMin 2006-02-10 14:11:45.0 2006-02-10 14:11:52.0 2006-02-10 14:11:52.0 2006-02-10 14:13:01.0 26 26 1 1 0 2 Changing axis bounds 190 82240 668lBbaKFE Unit ES_03, Section ES_03-8 LIT5A 1 pm-r-den-node 2006-02-24 13:38:40.0 2006-02-24 13:38:44.0 2006-02-24 13:38:44.0 2006-02-24 13:41:48.0 9 9 1 0 0 3 82462 668lBbaKFE Unit CTA1_08, Section CTA1_08-3 DEC04 1 XLabel 2006-03-08 13:51:12.0 2006-03-08 13:51:14.0 2006-03-08 13:52:15.0 2006-03-08 13:52:15.0 26 26 0 0 3 1 Labelling the axes 113 83008 668lBbaKFE Unit ES_04, Section ES_04-13 LIT24 1 7z/7 = (b-8)/7 2006-03-29 14:18:21.0 2006-03-29 14:18:26.0 2006-03-29 14:18:26.0 2006-03-29 14:18:26.0 5 5 1 0 0 1 83574 668lBbaKFE Unit CTA1_10, Section CTA1_10-5 DIST05_SP 1 R2C2 2006-04-27 14:05:26.0 2006-04-27 14:05:28.0 2006-04-27 14:05:28.0 2006-04-27 14:05:28.0 2 2 1 0 0 1 Identifying units 214 83929 668lBbaKFE Unit ES_07, Section ES_07-6 LIT83A 1 -3c*k+g*k+3c*k = j*x-5k+3c*k 2006-05-10 14:09:36.0 2006-05-10 14:09:40.0 2006-05-10 14:09:40.0 2006-05-10 14:10:22.0 46 46 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 110 84366 668lBbaKFE Unit CTA1_12, Section CTA1_12-6 SYSFB03 1 R3C2 2006-05-25 14:18:06.0 2006-05-25 14:18:29.0 2006-05-25 14:18:29.0 2006-05-25 14:18:29.0 23 23 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 358~~326~~140 84440 668lBbaKFE Unit ES_05, Section ES_05-4 EG59 3 56 = 99/x 2006-06-01 14:03:21.0 2006-06-01 14:03:31.0 2006-06-01 14:03:31.0 2006-06-01 14:03:31.0 10 10 1 0 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 41 84731 6Ax4SKe470 Unit ES_04, Section ES_04-10 EG57A 2 -8y+35 = -48*25 2005-09-16 14:02:33.0 2005-09-16 14:02:37.0 2005-09-16 14:02:37.0 2005-09-16 14:02:37.0 4 4 1 0 0 1 85212 6Ax4SKe470 Unit CTA1_10, Section CTA1_10-4 DISTFB07_SP 1 R3C2 2005-09-28 14:15:05.0 2005-09-28 14:15:37.0 2005-09-28 14:16:22.0 2005-09-28 14:16:22.0 77 77 0 2 6 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 26~~13~~23 85767 6Ax4SKe470 Unit ES_07, Section ES_07-5 LIT82 1 v*(k*h+h) = w*h 2005-10-14 14:10:46.0 2005-10-14 14:10:54.0 2005-10-14 14:10:54.0 2005-10-14 14:10:54.0 8 8 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 175 86131 6Ax4SKe470 Unit CTA1_12, Section CTA1_12-4 SYSFB23 1 256-9d = 50 2005-11-04 13:58:22.0 2005-11-04 13:58:27.0 2005-11-04 13:58:40.0 2005-11-04 13:58:40.0 18 18 0 2 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 204 86603 6Ax4SKe470 Unit ES_05, Section ES_05-10 EG62 2 -74.76y+30.01+74.76y = 77.6y+74.76y 2005-11-29 13:42:39.0 2005-11-29 13:42:43.0 2005-11-29 13:42:43.0 2005-11-29 13:43:01.0 22 22 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 107 87002 6Ax4SKe470 Unit CTA1_14, Section CTA1_14-4 1PTFB12 1 R4C1 2005-12-14 13:52:51.0 2005-12-14 13:53:00.0 2005-12-14 13:53:00.0 2005-12-14 13:53:00.0 9 9 1 0 0 1 Entering a given 194 87535 6Ax4SKe470 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 2X+3YGT9 1 xMin 2006-01-11 13:53:38.0 2006-01-11 13:53:41.0 2006-01-11 13:53:41.0 2006-01-11 13:53:43.0 5 5 1 0 0 2 87735 6Ax4SKe470 Unit CTA1_15, Section CTA1_15-3 SYSFB10 1 R5C3 2006-01-13 14:16:57.0 2006-01-13 14:17:00.0 2006-01-13 14:17:00.0 2006-01-13 14:17:00.0 3 3 1 0 0 1 Entering a given 253 88089 6Ax4SKe470 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE5TRE 2 R8C2 2006-02-10 14:10:28.0 2006-02-10 14:10:42.0 2006-02-10 14:10:42.0 2006-02-10 14:10:42.0 14 14 1 0 0 1 Entering a computed linear value 51 88254 6Ax4SKe470 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR43 1 FinalAnswer 2006-02-17 14:01:13.0 2006-02-17 14:01:22.0 2006-02-17 14:01:22.0 2006-02-17 14:01:22.0 9 9 1 0 0 1 factor-quadratic-sp 10 88632 6Ax4SKe470 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR03 1 (13+sqrt(169-168))/2 = x 2006-03-03 14:15:48.0 2006-03-03 14:15:53.0 2006-03-03 14:15:53.0 2006-03-03 14:15:53.0 5 5 1 0 0 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 57 89207 6Ax4SKe470 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD8TRE 1 b-factor-node 2006-03-31 14:11:18.0 2006-03-31 14:11:21.0 2006-03-31 14:11:21.0 2006-03-31 14:14:04.0 6 6 1 0 0 2 89305 6Ax4SKe470 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS09 1 constant factorsR2 2006-04-05 13:50:49.0 2006-04-05 13:50:51.0 2006-04-05 13:50:51.0 2006-04-05 13:50:51.0 2 2 1 0 0 1 perform-mult-row2-sp 6 89726 6Ax4SKe470 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 3 (2(x^3)(y^5))/((x^5)(y^5)) 2006-04-19 14:14:54.0 2006-04-19 14:15:00.0 2006-04-19 14:15:00.0 2006-04-19 14:15:00.0 6 6 1 0 0 1 90089 6Ax4SKe470 Unit CTA1_20, Section CTA1_20-2 1PTB06 1 R2C2 2006-05-03 13:51:50.0 2006-05-03 13:52:01.0 2006-05-03 13:52:20.0 2006-05-03 13:52:20.0 30 30 0 2 2 1 Identifying units 220 90259 6Ax4SKe470 Unit CTA1_21, Section CTA1_21-3 FEB07 1 R1C1 2006-05-05 13:51:57.0 2006-05-05 13:52:29.0 2006-05-05 13:52:29.0 2006-05-05 13:52:29.0 32 32 1 0 0 1 90424 6Ax4SKe470 Unit CTA1_22, Section CTA1_22-1 SYSFB08 1 ValidEquations 2006-05-10 14:02:47.0 2006-05-10 14:03:01.0 2006-05-10 14:03:01.0 2006-05-10 14:04:07.0 45 45 1 0 0 6 90604 6Ax4SKe470 Unit ES_06, Section ES_06-1 EG63A 4 611.57(y-326.08)-353.52 = -216.58-831.78y*(-762/(-74y)+868.93) 2006-05-17 14:03:52.0 2006-05-17 14:03:58.0 2006-05-17 14:03:58.0 2006-05-17 14:03:58.0 6 6 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 123 90728 6Ax4SKe470 Unit CTA1_24, Section CTA1_24-1 L5FB05 1 68+24C = 2924 2006-05-19 14:11:06.0 2006-05-19 14:11:11.0 2006-05-19 14:11:11.0 2006-05-19 14:11:11.0 5 5 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 395 91018 6Ax4SKe470 Unit CTA1_25, Section CTA1_25-1 FEB06 1 R5C1 2006-05-31 14:15:19.0 2006-05-31 14:15:22.0 2006-05-31 14:19:55.0 2006-05-31 14:19:55.0 195 195 0 5 0 1 Entering a given 572 91179 6O31vedZbI Unit CTA1_01, Section CTA1_01-3 BH1T28C 1 R3C2 2005-09-14 14:00:35.0 2005-09-14 14:01:06.0 2005-09-14 14:01:06.0 2005-09-14 14:01:06.0 31 31 1 0 0 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 29~~14~~1 91422 6O31vedZbI Unit CTA1_02, Section CTA1_02-3 L3NOV12A 1 R4C1 2005-09-28 14:12:54.0 2005-09-28 14:13:08.0 2005-09-28 14:13:08.0 2005-09-28 14:13:08.0 14 14 1 0 0 1 Entering a given~~Convert unit, standard 69~~9 91688 6O31vedZbI Unit ES_01, Section ES_01-9 EG26 1 -4 = x/-3 2005-10-07 13:49:35.0 2005-10-07 13:49:43.0 2005-10-07 13:49:43.0 2005-10-07 13:49:43.0 8 8 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 11~~7 91855 6O31vedZbI Unit CTA1_04, Section CTA1_04-3 DEC01B 2 R6C1 2005-10-14 13:52:23.0 2005-10-14 13:52:55.0 2005-10-14 13:52:55.0 2005-10-14 13:52:55.0 32 32 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 99~~13~~30 92074 6O31vedZbI Unit ES_02, Section ES_02-9 EG44 3 -2x = 7 2005-10-21 14:14:44.0 2005-10-21 14:14:50.0 2005-10-21 14:14:50.0 2005-10-21 14:14:50.0 6 6 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 37~~21 92236 6O31vedZbI Unit CTA1_13, Section CTA1_13-1 PROP13 1 R4C1 2005-10-28 14:04:25.0 2005-10-28 14:05:31.0 2005-10-28 14:05:31.0 2005-10-28 14:05:31.0 66 66 1 0 0 1 Entering a given~~Convert unit, standard 203~~11 92568 6O31vedZbI Unit CTA1_06, Section CTA1_06-3 FEB04 1 yMax 2005-12-02 14:17:12.0 2005-12-02 14:17:21.0 2005-12-02 14:17:21.0 2005-12-02 14:17:21.0 9 9 1 0 0 1 Changing axis bounds 93 92970 6O31vedZbI Unit ES_03, Section ES_03-6 EG51A 1 35.6 = 18.2y+6y-34.9 2006-01-04 13:56:05.0 2006-01-04 13:56:19.0 2006-01-04 13:56:19.0 2006-01-04 13:56:19.0 14 14 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 83 93257 6O31vedZbI Unit CTA1_08, Section CTA1_08-3 PERCENT12 1 Formula 1 Coeff 1 2006-01-11 14:04:35.0 2006-01-11 14:04:39.0 2006-01-11 14:04:39.0 2006-01-11 14:04:39.0 4 4 1 0 0 1 Setting the slope 15 93565 6O31vedZbI Unit ES_04, Section ES_04-14 LIT22A 1 7s+z-z = c-z 2006-02-10 14:05:10.0 2006-02-10 14:05:15.0 2006-02-10 14:05:15.0 2006-02-10 14:05:19.0 9 9 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 51 93985 6O31vedZbI Unit CTA1_10, Section CTA1_10-6 DISTFB11_SP 2 1470+7(X-30) = 2150 2006-03-01 13:57:01.0 2006-03-01 13:57:10.0 2006-03-01 13:57:10.0 2006-03-01 13:57:10.0 9 9 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 202 94130 6O31vedZbI Unit ES_07, Section ES_07-4 LIT67A 1 (b*c-f*h)/(d-g) = w*(d-g)/(d-g) 2006-03-08 13:50:17.0 2006-03-08 13:50:37.0 2006-03-08 13:50:37.0 2006-03-08 13:50:40.0 23 23 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 67 94638 6O31vedZbI Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 xScale 2006-04-19 14:20:26.0 2006-04-19 14:20:38.0 2006-04-19 14:20:38.0 2006-04-19 14:20:38.0 12 12 1 0 0 1 Changing axis intervals 89 94786 6O31vedZbI Unit ES_05, Section ES_05-8 EG61 3 8.62+2.07y = 8.4y 2006-04-27 14:07:51.0 2006-04-27 14:08:00.0 2006-04-27 14:08:11.0 2006-04-27 14:09:18.0 61 61 0 1 0 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 39 95096 6O31vedZbI Unit CTA1_14, Section CTA1_14-3 2PTS01 2 -4.75 = -0.75X 2006-05-25 14:20:19.0 2006-05-25 14:20:29.0 2006-05-25 14:20:29.0 2006-05-25 14:20:29.0 10 10 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 371~~91 95515 7oiAa7MlW2 Unit CTA1_10, Section CTA1_10-6 DISTFB11_SP 1 R1C2 2005-09-29 14:14:16.0 2005-09-29 14:15:14.0 2005-09-29 14:15:14.0 2005-09-29 14:15:14.0 58 58 1 0 0 1 95711 7oiAa7MlW2 Unit ES_07, Section ES_07-6 LIT82A 1 (w*m*j+w*j)/j*j = x*j 2005-10-07 14:14:41.0 2005-10-07 14:16:42.0 2005-10-07 14:16:42.0 2005-10-07 14:16:46.0 125 125 1 0 0 2 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] 2 96059 7oiAa7MlW2 Unit CTA1_12, Section CTA1_12-5 SYSFB25 2 Intersection 1 X 2005-11-04 13:51:50.0 2005-11-04 13:52:12.0 2005-11-04 13:52:12.0 2005-11-04 13:52:12.0 22 22 1 0 0 1 Labelling point of intersection 21 96342 7oiAa7MlW2 Unit ES_05, Section ES_05-12 LIT87 1 12Y = 1-a*x 2005-11-29 14:07:40.0 2005-11-29 14:07:49.0 2005-11-29 14:07:56.0 2005-11-29 14:07:56.0 16 16 0 1 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 151 96710 7oiAa7MlW2 Unit CTA1_14, Section CTA1_14-4 TPH11 1 R3C2 2006-01-06 14:18:23.0 2006-01-06 14:19:04.0 2006-01-06 14:21:41.0 2006-01-06 14:21:41.0 198 198 0 2 8 1 Using small numbers~~Using difficult numbers~~Write expression, initial and point 110~~66~~11 96999 879eYkR2Wu Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-3X-YLT6 1 -3(0)-y = 6 2005-09-14 14:19:30.0 2005-09-14 14:19:33.0 2005-09-14 14:19:33.0 2005-09-14 14:19:33.0 3 3 1 0 0 1 97452 879eYkR2Wu Unit CTA1_15, Section CTA1_15-3 SYSFB06 1 ValidEquations 2005-09-28 14:09:12.0 2005-09-28 14:09:27.0 2005-09-28 14:09:27.0 2005-09-28 14:09:51.0 27 27 1 0 0 4 97629 879eYkR2Wu Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE3TRE 1 R4C3 2005-09-30 10:08:34.0 2005-09-30 10:08:37.0 2005-09-30 10:08:37.0 2005-09-30 10:08:37.0 3 3 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, any form~~Entering a computed quadratic value 62~~43~~9~~9 97736 879eYkR2Wu Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR48 1 c-factor-1 2005-09-30 13:57:46.0 2005-09-30 13:58:01.0 2005-09-30 13:58:01.0 2005-09-30 14:02:07.0 89 89 1 1 0 5 98029 879eYkR2Wu Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR15 1 7x^2+19x-6 = 0 2005-10-05 14:19:48.0 2005-10-05 14:19:52.0 2005-10-05 14:19:52.0 2005-10-05 14:19:52.0 4 4 1 0 0 1 98618 879eYkR2Wu Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD8TRE 2 b-factor-node 2005-10-19 13:51:30.0 2005-10-19 13:51:34.0 2005-10-19 13:51:34.0 2005-10-19 13:51:34.0 4 4 1 0 0 1 98791 879eYkR2Wu Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 1 yR2 2005-10-21 14:00:45.0 2005-10-21 14:00:51.0 2005-10-21 14:00:51.0 2005-10-21 14:02:01.0 23 23 1 0 0 2 perform-mult-row2-sp 13 98944 879eYkR2Wu Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01-FIXED 1 x1R1 2005-10-26 14:02:43.0 2005-10-26 14:02:44.0 2005-10-26 14:02:44.0 2005-10-26 14:02:44.0 1 1 1 0 0 1 99331 879eYkR2Wu Unit CTA1_20, Section CTA1_20-2 1PTFB17 1 R4C1 2005-11-14 10:10:07.0 2005-11-14 10:10:15.0 2005-11-14 10:11:03.0 2005-11-14 10:11:03.0 56 56 0 4 5 1 Entering a given~~Convert unit, standard 230~~14 99493 879eYkR2Wu Unit CTA1_21, Section CTA1_21-3 JAN08 1 yMax 2005-11-16 14:02:28.0 2005-11-16 14:02:33.0 2005-11-16 14:02:42.0 2005-11-16 14:02:42.0 14 14 0 1 0 1 Changing axis bounds 67 99767 879eYkR2Wu Unit CTA1_22, Section CTA1_22-1 SYS08 1 yMax 2005-11-21 10:20:02.0 2005-11-21 10:20:07.0 2005-11-21 10:20:07.0 2005-11-21 10:20:07.0 5 5 1 0 0 1 Changing axis bounds 89 99828 879eYkR2Wu Unit ES_06, Section ES_06-1 EG63A 5 -85265.5908y = 133395.09497311 2005-11-23 14:05:38.0 2005-11-23 14:05:53.0 2005-11-23 14:05:53.0 2005-11-23 14:05:53.0 15 15 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 132~~48 99934 879eYkR2Wu Unit CTA1_24, Section CTA1_24-1 PERCENT07 1 R7C2 2005-11-29 13:53:14.0 2005-11-29 13:53:24.0 2005-11-29 13:54:10.0 56 56 0 2 3 0 Find Y, Simple~~Using small numbers~~Using difficult numbers 4~~156~~93 100104 879eYkR2Wu Unit CTA1_25, Section CTA1_25-1 REAL36 1 XLabel 2005-12-02 13:58:40.0 2005-12-02 13:58:52.0 2005-12-02 13:58:52.0 2005-12-02 13:58:52.0 12 12 1 0 0 1 Labelling the axes 115 100304 879eYkR2Wu Unit CTA1_26, Section CTA1_26-1 REAL25 1 Slope Field 1 2005-12-06 10:20:58.0 2005-12-06 10:21:01.0 2005-12-06 10:21:01.0 2005-12-06 10:21:01.0 3 3 1 0 0 1 Entering the slope 23 100512 879eYkR2Wu Unit CTA1_27, Section CTA1_27-1 BH1T18 1 R1C1 2005-12-09 14:04:14.0 2005-12-09 14:04:33.0 2005-12-09 14:04:33.0 2005-12-09 14:04:33.0 19 19 1 0 0 1 102313 879eYkR2Wu Unit QuadLinearFuncTrans, Section QLFuncTrans11 TRANSFORMN022 1 CurrFunctionText 2006-01-13 14:15:18.0 2006-01-13 14:15:20.0 2006-01-13 14:15:20.0 2006-01-13 14:16:11.0 2 2 1 0 0 2 102946 8ZPoEJbXB7 Unit CTA1_12, Section CTA1_12-5 SYSFB05 2 Intersection 1 X 2005-09-23 13:53:28.0 2005-09-23 13:53:44.0 2005-09-23 13:53:44.0 2005-09-23 13:53:44.0 16 16 1 0 0 1 Labelling point of intersection 17 103231 8ZPoEJbXB7 Unit ES_05, Section ES_05-6 EG60 1 4X/4 = 6/4 2005-09-30 14:04:48.0 2005-09-30 14:04:55.0 2005-09-30 14:04:55.0 2005-09-30 14:04:57.0 9 9 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 22 103856 8ZPoEJbXB7 Unit CTA1_14, Section CTA1_14-4 1PTFB12 1 -350 = -25X 2005-11-18 14:13:49.0 2005-11-18 14:13:56.0 2005-11-18 14:13:56.0 2005-11-18 14:13:56.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 146~~61 104132 8ZPoEJbXB7 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLEX+7 2 GraphButton1 2005-12-16 13:45:03.0 2005-12-16 13:45:05.0 2005-12-16 13:45:05.0 2005-12-16 13:45:05.0 2 2 1 0 0 1 104542 8ZPoEJbXB7 Unit CTA1_15, Section CTA1_15-3 SYS07 1 R1C1 2006-01-11 14:07:25.0 2006-01-11 14:07:57.0 2006-01-11 14:07:57.0 2006-01-11 14:07:57.0 32 32 1 0 0 1 104861 8ZPoEJbXB7 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE3TRE 1 R3C3 2006-02-15 14:01:58.0 2006-02-15 14:02:25.0 2006-02-15 14:02:38.0 2006-02-15 14:02:38.0 40 40 0 1 0 1 Using simple numbers~~Using small numbers~~Write expression, quadratic 187~~144~~7 105015 8ZPoEJbXB7 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR45 2 10x^2-19x+6 2006-02-24 13:16:50.0 2006-02-24 13:24:57.0 2006-02-24 13:24:57.0 2006-02-24 13:24:57.0 487 487 1 0 0 1 105266 8ZPoEJbXB7 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR17 1 den1-factor-node 2006-03-10 14:03:44.0 2006-03-10 14:03:48.0 2006-03-10 14:03:48.0 2006-03-10 14:05:11.0 6 6 1 0 0 2 qft-den-sp 11 105988 8ZPoEJbXB7 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD8TRE 2 yMax 2006-04-27 13:46:47.0 2006-04-27 13:46:52.0 2006-04-27 13:47:07.0 2006-04-27 13:47:07.0 15.999 15.999 0 4 1 2 Changing axis bounds 103 106154 8ZPoEJbXB7 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 y1R1 2006-04-28 13:46:51.0 2006-04-28 13:46:53.0 2006-04-28 13:46:53.0 2006-04-28 13:46:53.0 2 2 1 0 0 1 106494 8ZPoEJbXB7 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 2 row1-N-y 2006-05-05 14:08:49.0 2006-05-05 14:08:50.0 2006-05-05 14:08:50.0 2006-05-05 14:08:50.0 1 1 1 0 0 1 106772 8ZPoEJbXB7 Unit CTA1_20, Section CTA1_20-2 IPCPAIGE 1 R1C1 2006-05-19 14:13:57.0 2006-05-19 14:14:05.0 2006-05-19 14:14:33.0 2006-05-19 14:14:33.0 36 36 0 1 0 1 107103 9493h91NUB Unit CTA1_10, Section CTA1_10-4 FOR08_SP 2 R7C2 2005-09-23 13:46:38.0 2005-09-23 13:46:46.0 2005-09-23 13:46:46.0 2005-09-23 13:46:46.0 8 8 1 0 0 1 Entering a given 57 107324 9493h91NUB Unit ES_07, Section ES_07-5 LIT72 1 m+n = b*r 2005-10-05 14:05:33.0 2005-10-05 14:05:38.0 2005-10-05 14:05:38.0 2005-10-05 14:05:38.0 5 5 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 47 107824 9493h91NUB Unit CTA1_12, Section CTA1_12-6 SYS01 1 ValidEquations 2005-11-23 14:08:17.0 2005-11-23 14:08:37.0 2005-11-23 14:08:54.0 2005-11-23 14:09:19.0 52 52 0 1 0 4 108035 9493h91NUB Unit ES_05, Section ES_05-12 LIT89 1 y = (8-a*x)/-1 2005-12-14 14:00:42.0 2005-12-14 14:00:50.0 2005-12-14 14:00:50.0 2005-12-14 14:00:50.0 8 8 1 0 0 1 108485 9493h91NUB Unit CTA1_14, Section CTA1_14-4 TPH04 1 R3C1 2006-02-22 14:17:20.0 2006-02-22 14:17:21.0 2006-02-22 14:17:21.0 2006-02-22 14:17:21.0 1 1 1 0 0 1 Define Variable 66 108755 9493h91NUB Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 X-3YGE20 1 XIntercept1 2006-03-08 14:16:27.0 2006-03-08 14:16:30.0 2006-03-08 14:18:19.0 2006-03-08 14:18:19.0 74 74 0 3 1 1 Negative Constant, GLF~~Entering x-intercept, GLF 23~~12 109042 9493h91NUB Unit CTA1_15, Section CTA1_15-3 SYS09 1 R7C1 2006-03-29 13:56:29.0 2006-03-29 13:56:35.0 2006-03-29 13:56:35.0 2006-03-29 13:56:35.0 6 6 1 0 0 1 Entering a given~~Convert unit, standard 263~~18 109247 9493h91NUB Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE8TRE 1 R1C2 2006-03-31 14:16:52.0 2006-03-31 14:16:53.0 2006-03-31 14:16:53.0 2006-03-31 14:16:53.0 1 1 1 0 0 1 109335 9493h91NUB Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR34 1 INNERx1 2006-04-05 14:14:30.0 2006-04-05 14:14:33.0 2006-04-05 14:14:52.0 2006-04-05 14:14:52.0 22 22 0 3 1 1 109605 9493h91NUB Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR05 2 (-10-sqrt(10^2-36))/(2*1) = x 2006-04-21 13:43:03.0 2006-04-21 13:43:06.0 2006-04-21 13:43:06.0 2006-04-21 13:43:06.0 3 3 1 0 0 1 110204 9493h91NUB Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD3TRE 1 R6C2 2006-05-17 14:08:44.0 2006-05-17 14:09:09.0 2006-05-17 14:09:09.0 2006-05-17 14:09:09.0 25 25 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, any form~~Entering a computed quadratic value 241~~204~~29~~25 110384 9493h91NUB Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 y2R1 2006-06-01 14:04:37.0 2006-06-01 14:04:38.0 2006-06-01 14:04:38.0 2006-06-01 14:04:38.0 1 1 1 0 0 1 110424 9493h91NUB Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS08 1 row3-N-x 2006-06-01 14:12:41.0 2006-06-01 14:12:42.0 2006-06-01 14:12:42.0 2006-06-01 14:20:48.0 5 5 1 0 0 5 110848 AQfVkV1aEx Unit CTA1_14, Section CTA1_14-4 2PTFB13 1 R3C2 2005-10-13 14:17:15.0 2005-10-13 14:17:22.0 2005-10-13 14:17:28.0 2005-10-13 14:17:28.0 13 13 0 1 0 1 Using simple numbers~~Using small numbers~~Write expression, two points 62~~54~~10 111017 AQfVkV1aEx Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT-4X-10 1 XIntercept1 2005-10-19 14:08:16.0 2005-10-19 14:08:56.0 2005-10-19 14:09:06.0 2005-10-19 14:09:06.0 50 50 0 1 0 1 Negative Constant, SIF~~Entering x-intercept, SIF 22~~5 111485 AQfVkV1aEx Unit CTA1_15, Section CTA1_15-3 SYS10 1 R2C3 2005-11-18 13:52:33.0 2005-11-18 13:52:38.0 2005-11-18 13:52:38.0 2005-11-18 13:52:38.0 5 5 1 0 0 1 Identifying units 74 111627 AQfVkV1aEx Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE8TRE 1 R4C2 2005-12-02 14:05:00.0 2005-12-02 14:05:19.0 2005-12-02 14:05:19.0 2005-12-02 14:05:19.0 19 19 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope~~Entering a computed linear value 121~~89~~13~~28 111825 AQfVkV1aEx Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR08 2 c-factor-1 2005-12-21 14:01:38.0 2005-12-21 14:01:45.0 2005-12-21 14:01:45.0 2005-12-21 14:02:13.0 10 10 1 0 0 2 112131 AQfVkV1aEx Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR22 2 (3-sqrt((-3)^2-4*1*-1))/2 = x 2006-02-15 13:57:01.0 2006-02-15 13:57:09.0 2006-02-15 13:57:09.0 2006-02-15 13:57:09.0 8 8 1 0 0 1 112567 AQfVkV1aEx Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD7TRE 2 yMin 2006-04-05 13:48:55.0 2006-04-05 13:49:18.0 2006-04-05 13:49:18.0 2006-04-05 13:49:18.0 23 23 1 0 0 1 Changing axis bounds 70 112940 AQfVkV1aEx Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 constant factors2R1 2006-04-27 13:53:27.0 2006-04-27 13:53:28.0 2006-04-27 13:53:28.0 2006-04-27 13:53:28.0 1 1 1 0 0 1 113211 AQfVkV1aEx Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01 1 row3-D-y 2006-05-12 10:56:52.0 2006-05-12 10:56:58.0 2006-05-12 10:56:58.0 2006-05-12 10:56:58.0 6 6 1 0 0 1 113290 AQfVkV1aEx Unit CTA1_20, Section CTA1_20-1 1PTFB16 1 R1C1 2006-05-31 14:13:30.0 2006-05-31 14:13:46.0 2006-05-31 14:13:46.0 2006-05-31 14:13:46.0 16 16 1 0 0 1 113346 C18qWKq212 Unit CTA1_01, Section CTA1_01-2 BH1T22A 1 R1C2 2005-09-07 14:19:18.0 2005-09-07 14:19:29.0 2005-09-07 14:19:37.0 2005-09-07 14:19:37.0 19 19 0 1 0 1 113493 C18qWKq212 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 2X+3YGT9 1 Formula 1 XIntercept 2005-09-14 14:11:16.0 2005-09-14 14:11:18.0 2005-09-14 14:11:18.0 2005-09-14 14:11:18.0 2 2 1 0 0 1 Placing coordinate point 31 113797 C18qWKq212 Unit CTA1_15, Section CTA1_15-3 SYS09 1 R2C3 2005-09-28 14:15:09.0 2005-09-28 14:15:11.0 2005-09-28 14:15:11.0 2005-09-28 14:15:11.0 2 2 1 0 0 1 Identifying units 18 113999 C18qWKq212 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE7TRE 1 R7C3 2005-10-05 14:05:47.0 2005-10-05 14:06:02.0 2005-10-05 14:06:02.0 2005-10-05 14:06:02.0 15 15 1 0 0 1 Entering a computed linear value 23 114154 C18qWKq212 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR27 1 FinalAnswer 2005-10-07 14:09:33.0 2005-10-07 14:09:44.0 2005-10-07 14:09:44.0 2005-10-07 14:09:44.0 11 11 1 0 0 1 factor-quadratic-sp 8 114431 C18qWKq212 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR03 1 (13?sqrt(13*13-4*42))/2 = x 2005-10-19 13:55:01.0 2005-10-19 13:55:05.0 2005-10-19 13:55:05.0 2005-10-19 13:55:05.0 4 4 1 0 0 1 114836 C18qWKq212 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD3TRE 1 yMax 2005-11-04 14:18:46.0 2005-11-04 14:18:51.0 2005-11-04 14:18:51.0 2005-11-04 14:18:51.0 5 5 1 0 0 1 Changing axis bounds 70 115115 C18qWKq212 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 1 constant factors1R1 2005-11-18 13:46:34.0 2005-11-18 13:46:38.0 2005-11-18 13:46:38.0 2005-11-18 13:46:38.0 4 4 1 0 0 1 115251 C18qWKq212 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 2 row3-N-constant factors 2005-11-18 14:10:18.0 2005-11-18 14:10:22.0 2005-11-18 14:10:22.0 2005-11-18 14:10:22.0 4 4 1 0 0 1 115554 C18qWKq212 Unit CTA1_20, Section CTA1_20-2 1PTFB10 1 R2C2 2005-12-09 14:12:49.0 2005-12-09 14:13:43.0 2005-12-09 14:13:43.0 2005-12-09 14:13:43.0 54 54 1 0 0 1 Identifying units 95 115691 C18qWKq212 Unit CTA1_21, Section CTA1_21-2 FEB12 1 R3C2 2005-12-14 14:14:40.0 2005-12-14 14:16:29.0 2005-12-14 14:18:07.0 2005-12-14 14:18:07.0 207 207 0 3 4 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 131~~35~~58 115853 C18qWKq212 Unit CTA1_22, Section CTA1_22-1 SYSFB08 1 xMax 2006-01-04 14:01:05.0 2006-01-04 14:03:43.0 2006-01-04 14:03:43.0 2006-01-04 14:03:43.0 158 158 1 0 0 1 Changing axis bounds 114 115987 C18qWKq212 Unit ES_06, Section ES_06-1 EG63A 1 987.46872107+593482.0488y = -140934.0846 2006-01-11 13:49:36.0 2006-01-11 13:50:32.0 2006-01-11 13:50:32.0 2006-01-11 13:50:32.0 56 56 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 33 116059 C18qWKq212 Unit CTA1_24, Section CTA1_24-1 REAL06 2 R4C1 2006-01-13 13:50:17.0 2006-01-13 13:50:24.0 2006-01-13 13:50:24.0 2006-01-13 13:50:24.0 7 7 1 0 0 1 Entering a given 270 116195 C18qWKq212 Unit CTA1_25, Section CTA1_25-1 PERCENT09 2 XUnit 2006-01-20 13:54:26.0 2006-01-20 13:54:30.0 2006-01-20 13:54:30.0 2006-01-20 13:54:30.0 4 4 1 0 0 1 116311 C18qWKq212 Unit CTA1_26, Section CTA1_26-1 PROP15 1 XLabel 2006-01-20 14:16:01.0 2006-01-20 14:16:04.0 2006-01-20 14:16:04.0 2006-01-20 14:16:04.0 3 3 1 0 0 1 Labelling the axes 121 116473 C18qWKq212 Unit CTA1_27, Section CTA1_27-1 REAL02 1 R3C2 2006-01-25 14:17:57.0 2006-01-25 14:18:46.0 2006-01-25 14:18:46.0 2006-01-25 14:18:46.0 49 49 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 168~~188~~80 117305 C18qWKq212 Unit QuadLinearFuncTrans, Section QLFuncTrans10 TRANSFORMG058 1 ALGEBRAIC-TRANSFORMATIONS-k 2006-02-15 13:55:07.0 2006-02-15 13:55:25.0 2006-02-15 13:55:25.0 2006-02-15 13:55:25.0 18 18 1 0 0 1 Edit Algebraic k 41 117604 F25axtfCKG Unit CTA1_01, Section CTA1_01-1 LDEMO_WKST 1 R3C2 2005-09-07 14:17:15.0 2005-09-07 14:17:20.0 2005-09-07 14:17:20.0 2005-09-07 14:17:20.0 5 5 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 1~~1~~1 117891 F25axtfCKG Unit CTA1_14, Section CTA1_14-4 1PTFB12 1 R6C2 2005-10-05 14:02:49.0 2005-10-05 14:02:53.0 2005-10-05 14:02:53.0 2005-10-05 14:02:53.0 4 4 1 0 0 1 Entering a given 81 118257 F25axtfCKG Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-2X-2YGE9 1 Formula 1 Point 2 2005-10-21 13:45:44.0 2005-10-21 13:45:55.0 2005-10-21 13:45:55.0 2005-10-21 13:45:55.0 11 11 1 0 0 1 Placing coordinate point 50 118548 F25axtfCKG Unit CTA1_15, Section CTA1_15-3 SYS07 1 R1C3 2006-01-06 14:07:33.0 2006-01-06 14:07:50.0 2006-01-06 14:07:59.0 2006-01-06 14:07:59.0 26 26 0 1 0 1 118826 F25axtfCKG Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE2TRE 1 R1C3 2006-01-27 14:09:07.0 2006-01-27 14:09:10.0 2006-01-27 14:09:10.0 2006-01-27 14:09:10.0 3 3 1 0 0 1 118906 F25axtfCKG Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR06 1 a-factor-2 2006-02-03 14:02:49.0 2006-02-03 14:02:50.0 2006-02-03 14:02:50.0 2006-02-03 14:02:50.0 1 1 1 0 0 1 119332 F25axtfCKG Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR10 2 c-factor-node 2006-03-01 13:54:30.0 2006-03-01 13:54:33.0 2006-03-01 13:54:33.0 2006-03-01 13:54:33.0 3 3 1 0 0 1 119727 F25axtfCKG Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD9TRE 2 b-factor-node 2006-05-12 10:47:01.0 2006-05-12 10:47:06.0 2006-05-12 10:47:06.0 2006-05-12 10:47:06.0 5 5 1 0 0 1 120025 PpTLi2Qz8E Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 2X+3YGT9 2 2x+3*0 = 9 2005-09-21 14:01:16.0 2005-09-21 14:01:38.0 2005-09-21 14:04:01.0 2005-09-21 14:04:01.0 165 165 0 2 0 1 120330 PpTLi2Qz8E Unit CTA1_15, Section CTA1_15-3 SYS09 2 -22000X = -450000 2005-10-07 13:54:35.0 2005-10-07 13:54:42.0 2005-10-07 13:54:42.0 2005-10-07 13:54:42.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 21~~6 120566 PpTLi2Qz8E Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE8TRE 2 xMax 2005-10-21 13:47:20.0 2005-10-21 13:47:31.0 2005-10-21 13:51:10.0 2005-10-21 13:52:25.0 225 225 0 1 0 3 Changing axis bounds 50 120642 PpTLi2Qz8E Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR35 1 INNERx1 2005-10-21 14:20:55.0 2005-10-21 14:21:00.0 2005-10-21 14:21:03.0 2005-10-21 14:21:03.0 8 8 0 1 0 1 120984 PpTLi2Qz8E Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR17 1 c-factor-node 2005-11-09 13:48:44.0 2005-11-09 13:48:47.0 2005-11-09 13:48:47.0 2005-11-09 13:48:47.0 3 3 1 0 0 1 121252 PpTLi2Qz8E Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD6TRE 1 R3C1 2005-11-18 13:53:49.0 2005-11-18 13:53:50.0 2005-11-18 13:53:50.0 2005-11-18 13:53:50.0 1 1 1 0 0 1 Define Variable 20 121438 PpTLi2Qz8E Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 2 (6(x^2)(y^2))(y^6) 2005-11-29 13:44:33.0 2005-11-29 13:44:37.0 2005-11-29 13:44:37.0 2005-11-29 13:44:37.0 4 4 1 0 0 1 121576 PpTLi2Qz8E Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS08 2 row24x/5 2005-12-02 08:46:59.0 2005-12-02 08:47:20.0 2005-12-02 08:47:20.0 2005-12-02 08:47:20.0 21 21 1 0 0 1 121938 PpTLi2Qz8E Unit CTA1_20, Section CTA1_20-2 2PTFB21 2 205000 = (-24500)(20)+b 2005-12-14 08:42:43.0 2005-12-14 08:42:49.0 2005-12-14 08:42:49.0 2005-12-14 08:42:49.0 6 6 1 0 0 1 122126 PpTLi2Qz8E Unit CTA1_21, Section CTA1_21-3 DEC06 1 YLabel 2005-12-16 14:13:51.0 2005-12-16 14:14:04.0 2005-12-16 14:14:04.0 2005-12-16 14:14:04.0 13 13 1 0 0 1 Labelling the axes 63 122310 PpTLi2Qz8E Unit CTA1_22, Section CTA1_22-1 SYS19 4 xMax 2006-01-06 13:56:52.0 2006-01-06 13:56:59.0 2006-01-06 13:56:59.0 2006-01-06 13:56:59.0 7 7 1 0 0 1 Changing axis bounds 99 122527 PpTLi2Qz8E Unit ES_06, Section ES_06-1 EG63 6 0.71414058 = 40.07844897/x+1 2006-01-20 13:50:25.0 2006-01-20 13:50:30.0 2006-01-20 13:50:30.0 2006-01-20 13:50:30.0 5 5 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 76 122659 PpTLi2Qz8E Unit CTA1_24, Section CTA1_24-1 L5FB05 1 R3C2 2006-01-25 14:09:48.0 2006-01-25 14:10:40.0 2006-01-25 14:10:40.0 2006-01-25 14:10:40.0 52 52 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 121~~129~~53 122902 PpTLi2Qz8E Unit CTA1_25, Section CTA1_25-1 PERCENT18 1 R5C1 2006-02-17 13:59:11.0 2006-02-17 13:59:37.0 2006-02-17 13:59:37.0 2006-02-17 13:59:37.0 26 26 1 0 0 1 Entering a given 277 123101 PpTLi2Qz8E Unit CTA1_26, Section CTA1_26-1 PERCENT08 1 R1C2 2006-02-24 13:36:28.0 2006-02-24 13:36:36.0 2006-02-24 13:36:36.0 2006-02-24 13:36:36.0 8 8 1 0 0 1 123314 PpTLi2Qz8E Unit CTA1_27, Section CTA1_27-1 REAL02 1 R1C2 2006-03-10 13:47:44.0 2006-03-10 13:47:59.0 2006-03-10 13:47:59.0 2006-03-10 13:47:59.0 15 15 1 0 0 1 123931 PpTLi2Qz8E Unit QuadLinearFuncTrans, Section QLFuncTrans9 TRANSFORMN008 1 GRAPHICAL-TRANSFORMATIONS-refl-v 2006-04-07 14:03:20.0 2006-04-07 14:03:26.0 2006-04-07 14:03:26.0 2006-04-07 14:03:26.0 6 6 1 0 0 1 Choose Graphical Refl-v 20 124641 tB4vqSxzqo Unit CTA1_01, Section CTA1_01-4 JAN04C 1 R1C2 2005-09-16 13:59:25.0 2005-09-16 13:59:33.0 2005-09-16 13:59:33.0 2005-09-16 13:59:33.0 8 8 1 0 0 1 124865 tB4vqSxzqo Unit CTA1_02, Section CTA1_02-4 L2FB14C 1 R2C1 2005-09-30 13:55:56.0 2005-09-30 13:56:23.0 2005-09-30 13:56:23.0 2005-09-30 13:56:23.0 27 27 1 0 0 1 Identifying units 50 125066 tB4vqSxzqo Unit ES_01, Section ES_01-10 EG27 1 7*-1 = -y*-1 2005-10-07 14:03:42.0 2005-10-07 14:03:50.0 2005-10-07 14:03:50.0 2005-10-07 14:03:50.0 8 8 1 0 0 1 125243 tB4vqSxzqo Unit CTA1_04, Section CTA1_04-3 DEC01B 1 R3C1 2005-10-19 14:13:37.0 2005-10-19 14:14:52.0 2005-10-19 14:14:52.0 2005-10-19 14:14:52.0 75 75 1 0 0 1 Define Variable 47 125429 tB4vqSxzqo Unit ES_02, Section ES_02-6 EG40 2 6 = 8y 2005-11-09 13:48:51.0 2005-11-09 13:48:57.0 2005-11-09 13:48:57.0 2005-11-09 13:48:57.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 14~~29 125642 tB4vqSxzqo Unit CTA1_13, Section CTA1_13-1 PROP13 1 R3C1 2005-11-16 13:55:05.0 2005-11-16 13:55:06.0 2005-11-16 13:55:06.0 2005-11-16 13:55:06.0 1 1 1 0 0 1 Define Variable 64 126018 tB4vqSxzqo Unit CTA1_06, Section CTA1_06-4 L6FB07 2 ValidEquations 2005-12-14 13:47:24.0 2005-12-14 13:49:43.0 2005-12-14 13:49:43.0 2005-12-14 13:49:43.0 139 139 1 0 0 2 126451 tB4vqSxzqo Unit ES_03, Section ES_03-6 EG51A 1 constant terms1R1 2006-01-13 14:19:54.0 2006-01-13 14:19:58.0 2006-01-13 14:19:58.0 2006-01-13 14:19:58.0 4 4 1 0 0 1 126656 tB4vqSxzqo Unit CTA1_08, Section CTA1_08-2 REAL31 1 R2C2 2006-02-03 13:59:35.0 2006-02-03 13:59:37.0 2006-02-03 13:59:45.0 2006-02-03 13:59:45.0 10 10 0 1 0 1 Identifying units 146 127014 tB4vqSxzqo Unit ES_04, Section ES_04-13 LIT22 1 7r = b-y 2006-03-03 14:07:01.0 2006-03-03 14:08:06.0 2006-03-03 14:08:06.0 2006-03-03 14:08:06.0 65 65 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 190 127113 tB4vqSxzqo Unit CTA1_10, Section CTA1_10-1 LDEMO_DIST_SP 1 R5C1 2006-03-10 14:15:38.0 2006-03-10 14:16:29.0 2006-03-10 14:16:29.0 2006-03-10 14:16:29.0 51 51 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 195~~103~~58 127451 XNEgfvXx50 Unit ES_04, Section ES_04-12 EG58 4 -22 = -2x 2005-09-30 13:45:13.0 2005-09-30 13:45:20.0 2005-09-30 13:45:20.0 2005-09-30 13:45:20.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 54~~13 127916 XNEgfvXx50 Unit CTA1_10, Section CTA1_10-4 DISTFB07_SP 1 R2C2 2005-10-21 13:50:38.0 2005-10-21 13:50:45.0 2005-10-21 13:50:45.0 2005-10-21 13:50:45.0 7 7 1 0 0 1 Identifying units 17 128175 XNEgfvXx50 Unit ES_07, Section ES_07-6 LIT77A 1 2z+c = k 2005-11-04 14:06:30.0 2005-11-04 14:07:52.0 2005-11-04 14:07:52.0 2005-11-04 14:07:52.0 82 82 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 130 128560 XNEgfvXx50 Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 2.5X = 500+0.35X 2005-11-29 14:03:44.0 2005-11-29 14:03:51.0 2005-11-29 14:03:51.0 2005-11-29 14:03:51.0 7 7 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 21 128762 XNEgfvXx50 Unit ES_05, Section ES_05-8 EG61 2 9.72y = -6.9 2005-12-07 14:15:04.0 2005-12-07 14:15:15.0 2005-12-07 14:15:15.0 2005-12-07 14:15:15.0 11 11 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 94~~210 129307 XNEgfvXx50 Unit CTA1_14, Section CTA1_14-4 2PTFB13 1 R6C1 2006-01-20 14:00:49.0 2006-01-20 14:01:03.0 2006-01-20 14:01:03.0 2006-01-20 14:01:03.0 14 14 1 0 0 1 Entering a given 218 129516 XNEgfvXx50 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLT250 1 YCoordinate1_2 2006-02-01 14:15:39.0 2006-02-01 14:15:41.0 2006-02-01 14:15:41.0 2006-02-01 14:15:41.0 2 2 1 0 0 1 Entering a point~~Positive Constants, GLF 11~~14 129833 XNEgfvXx50 Unit CTA1_15, Section CTA1_15-3 SYSFB06 1 110X = 125000 2006-02-15 14:09:05.0 2006-02-15 14:09:11.0 2006-02-15 14:09:11.0 2006-02-15 14:09:11.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 146~~309 129980 XNEgfvXx50 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE7TRE 1 R6C1 2006-02-17 14:19:53.0 2006-02-17 14:19:57.0 2006-02-17 14:19:57.0 2006-02-17 14:19:57.0 4 4 1 0 0 1 Entering a computed linear value 26 130185 XNEgfvXx50 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR50 1 c-factor-1 2006-03-01 14:14:21.0 2006-03-01 14:14:36.0 2006-03-01 14:14:36.0 2006-03-01 14:14:49.0 18 18 1 0 0 2 130525 XNEgfvXx50 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR16 1 b-factor-node 2006-03-10 13:46:03.0 2006-03-10 13:46:05.0 2006-03-10 13:46:05.0 2006-03-10 13:46:05.0 2 2 1 0 0 1 131000 XNEgfvXx50 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD10TRE 1 den1-factor-node 2006-04-05 14:19:47.0 2006-04-05 14:19:58.0 2006-04-05 14:20:03.0 2006-04-05 14:20:03.0 16 16 0 1 0 1 qft-den-sp 31 131116 XNEgfvXx50 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 y2R1 2006-04-07 14:16:00.0 2006-04-07 14:16:01.0 2006-04-07 14:16:01.0 2006-04-07 14:16:01.0 1 1 1 0 0 1 131278 XNEgfvXx50 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01-FIXED 1 row2x 2006-04-19 14:15:57.0 2006-04-19 14:16:02.0 2006-04-19 14:16:02.0 2006-04-19 14:16:02.0 5 5 1 0 0 1 131595 XNEgfvXx50 Unit CTA1_20, Section CTA1_20-2 2PTS07 2 R7C1 2006-05-10 13:54:09.0 2006-05-10 13:54:16.0 2006-05-10 13:54:16.0 2006-05-10 13:54:16.0 7 7 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 249~~88~~114 131836 XNEgfvXx50 Unit CTA1_21, Section CTA1_21-3 FEB07 1 XLabel 2006-05-17 14:11:23.0 2006-05-17 14:11:25.0 2006-05-17 14:11:25.0 2006-05-17 14:11:25.0 2 2 1 0 0 1 Labelling the axes 106 132056 XNEgfvXx50 Unit CTA1_22, Section CTA1_22-1 SYSFB07 1 yScale 2006-05-22 14:15:11.0 2006-05-22 14:15:13.0 2006-05-22 14:15:13.0 2006-05-22 14:15:14.0 3 3 1 0 0 2 Changing axis intervals 80 132142 XNEgfvXx50 Unit ES_06, Section ES_06-1 EG63 3 30.67y-1219.1325-8.32 = 21.62-35.06y*(-9/(82y)-61.19) 2006-05-24 14:12:54.0 2006-05-24 14:12:58.0 2006-05-24 14:12:58.0 2006-05-24 14:12:58.0 4 4 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 153 132237 XNEgfvXx50 Unit CTA1_24, Section CTA1_24-1 PERCENT07 1 R1C1 2006-06-01 14:13:40.0 2006-06-01 14:13:46.0 2006-06-01 14:14:00.0 2006-06-01 14:14:00.0 20 20 0 2 0 1 132301 XNEgfvXx50 Unit CTA1_25, Section CTA1_25-1 BH1T50 1 R1C2 2006-06-05 14:19:17.0 2006-06-05 14:19:28.0 2006-06-05 14:19:28.0 11 11 0 1 0 0 132332 0w3IAZa8rQ Unit CTA1_01, Section CTA1_01-2 RXMX1 1 R3C1 2005-09-07 12:49:16.0 2005-09-07 12:49:20.0 2005-09-07 12:49:20.0 2005-09-07 12:49:20.0 4 4 1 0 0 1 Define Variable 3 132544 0w3IAZa8rQ Unit ES_02, Section ES_02-8 EG41 5 8+3 = x/2-3+3 2005-09-16 12:34:23.0 2005-09-16 12:34:27.0 2005-09-16 12:34:27.0 2005-09-16 12:34:31.0 8 8 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 10 132650 0w3IAZa8rQ Unit CTA1_13, Section CTA1_13-1 PROP12 1 R4C1 2005-09-21 12:34:15.0 2005-09-21 12:34:19.0 2005-09-21 12:34:19.0 2005-09-21 12:34:19.0 4 4 1 0 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 24~~7~~12 133124 0w3IAZa8rQ Unit CTA1_06, Section CTA1_06-3 FOR05 2 XLabel 2005-10-19 12:31:18.0 2005-10-19 12:31:26.0 2005-10-19 12:31:26.0 2005-10-19 12:31:26.0 8 8 1 0 0 1 Labelling the axes 35 133616 0w3IAZa8rQ Unit ES_03, Section ES_03-6 EG53A 1 constant terms1R1 2005-12-14 08:53:02.0 2005-12-14 08:53:08.0 2005-12-14 08:53:08.0 2005-12-14 08:53:08.0 6 6 1 0 0 1 134008 0w3IAZa8rQ Unit CTA1_08, Section CTA1_08-3 BH1T07 1 R3C1 2006-02-03 08:24:59.0 2006-02-03 08:25:01.0 2006-02-03 08:25:01.0 2006-02-03 08:25:01.0 2 2 1 0 0 1 Define Variable 60 134367 0w3IAZa8rQ Unit ES_04, Section ES_04-11 EG58A 1 -41 = -6(-41x+19)-50x 2006-04-05 08:50:35.0 2006-04-05 08:50:39.0 2006-04-05 08:50:39.0 2006-04-05 08:50:39.0 4 4 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 71 134625 3hSu07XfGd Unit CTA1_01, Section CTA1_01-3 BH1T34A 1 R2C2 2005-09-16 08:34:22.0 2005-09-16 08:34:26.0 2005-09-16 08:34:26.0 2005-09-16 08:34:26.0 4 4 1 0 0 1 Identifying units 22 134977 3hSu07XfGd Unit CTA1_02, Section CTA1_02-4 REAL28 1 YLabel 2005-09-28 08:48:46.0 2005-09-28 08:48:56.0 2005-09-28 08:48:56.0 2005-09-28 08:48:56.0 10 10 1 0 0 1 Labelling the axes 25 135129 3hSu07XfGd Unit ES_01, Section ES_01-8 EG26 2 x/-7 = 5 2005-09-30 08:46:37.0 2005-09-30 08:46:45.0 2005-09-30 08:46:45.0 2005-09-30 08:46:45.0 8 8 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 5~~3 135254 3hSu07XfGd Unit CTA1_04, Section CTA1_04-3 BH1T41B 1 ValidEquations 2005-10-07 08:37:20.0 2005-10-07 08:37:55.0 2005-10-07 08:37:55.0 2005-10-07 08:38:33.0 45 45 1 0 0 3 135479 3hSu07XfGd Unit ES_02, Section ES_02-6 EG40 5 2+3 = -10y-3+3 2005-10-19 08:38:09.0 2005-10-19 08:38:14.0 2005-10-19 08:38:20.0 2005-10-19 08:38:24.0 15 15 0 1 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 9 135646 3hSu07XfGd Unit CTA1_13, Section CTA1_13-1 PROP01 1 R4C1 2005-10-21 08:54:21.0 2005-10-21 08:54:27.0 2005-10-21 08:54:27.0 2005-10-21 08:54:27.0 6 6 1 0 0 1 Entering a given 172 136000 3hSu07XfGd Unit CTA1_06, Section CTA1_06-3 JAN05 1 155Y = 84940 2005-11-02 08:45:46.0 2005-11-02 08:45:52.0 2005-11-02 08:45:52.0 2005-11-02 08:45:52.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 51~~93 136484 3hSu07XfGd Unit ES_03, Section ES_03-7 LIT10 1 a-f = 0 2005-11-18 08:25:32.0 2005-11-18 08:25:43.0 2005-11-18 08:25:43.0 2005-11-18 08:25:43.0 11 11 1 0 0 1 136695 3hSu07XfGd Unit CTA1_08, Section CTA1_08-3 REAL10 1 yMin 2005-11-23 08:33:46.0 2005-11-23 08:33:51.0 2005-11-23 08:33:51.0 2005-11-23 08:33:51.0 5 5 1 0 0 1 Changing axis bounds 127 137005 3hSu07XfGd Unit ES_04, Section ES_04-14 LIT23A 1 n*j/n = (r-56)/n 2005-12-02 08:49:42.0 2005-12-02 08:49:45.0 2005-12-02 08:49:45.0 2005-12-02 08:49:52.0 10 10 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 57 137457 3hSu07XfGd Unit CTA1_10, Section CTA1_10-6 DISTFB12_SP 1 R2C1 2005-12-16 08:35:34.0 2005-12-16 08:35:39.0 2005-12-16 08:35:39.0 2005-12-16 08:35:39.0 5 5 1 0 0 1 Identifying units 163 137570 3hSu07XfGd Unit ES_07, Section ES_07-4 LIT70A 1 FinalAnswer 2005-12-21 08:16:33.0 2005-12-21 08:16:40.0 2005-12-21 08:16:40.0 2005-12-21 08:16:40.0 7 7 1 0 0 1 factor-sp 10 138019 3hSu07XfGd Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 YLabel 2006-01-06 08:51:40.0 2006-01-06 08:51:46.0 2006-01-06 08:51:52.0 2006-01-06 08:51:52.0 12 12 0 1 0 1 Labelling the axes 130 138178 3hSu07XfGd Unit ES_05, Section ES_05-9 EG62A 2 -773.09y-6171.93 = -5017.68-823.98y 2006-01-11 08:45:46.0 2006-01-11 08:45:59.0 2006-01-11 08:45:59.0 2006-01-11 08:45:59.0 13 13 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 43 138481 3hSu07XfGd Unit CTA1_14, Section CTA1_14-3 2PTS08 1 R6C1 2006-02-03 08:45:42.0 2006-02-03 08:45:46.0 2006-02-03 08:45:46.0 2006-02-03 08:45:46.0 4 4 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 304~~174~~107 138855 3hSu07XfGd Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT5X+12 1 XIntercept1 2006-02-17 08:47:31.0 2006-02-17 08:47:48.0 2006-02-17 08:47:48.0 2006-02-17 08:47:48.0 17 17 1 0 0 1 Entering x-intercept, SIF~~Positive Constants, SIF 6~~3 139204 3hSu07XfGd Unit CTA1_15, Section CTA1_15-3 SYS07 1 R3C1 2006-03-03 08:51:11.0 2006-03-03 08:51:13.0 2006-03-03 08:51:13.0 2006-03-03 08:51:13.0 2 2 1 0 0 1 Define Variable 176 139369 3hSu07XfGd Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE8TRE 1 R3C2 2006-03-10 08:50:23.0 2006-03-10 08:50:31.0 2006-03-10 08:50:31.0 2006-03-10 08:50:31.0 8 8 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 374~~331~~139 139536 3hSu07XfGd Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR37 1 x*(x+4) 2006-03-31 08:36:09.0 2006-03-31 08:36:14.0 2006-03-31 08:36:14.0 5 5 0 1 0 0 139791 3hSu07XfGd Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR09 2 num2-factor-node 2006-04-21 08:24:52.0 2006-04-21 08:25:23.0 2006-04-21 08:25:23.0 2006-04-21 08:25:23.0 31 31 1 0 0 1 qft-num2-sp 12 140311 3hSu07XfGd Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD8TRE 1 den1-factor-node 2006-05-17 08:25:48.0 2006-05-17 08:25:50.0 2006-05-17 08:25:50.0 2006-05-17 08:25:50.0 2 2 1 0 0 1 qft-den-sp 30 140449 3hSu07XfGd Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS09 1 constant factors1R1 2006-05-17 08:54:42.0 2006-05-17 08:54:47.0 2006-05-17 08:54:47.0 2006-05-17 08:54:47.0 5 5 1 0 0 1 140653 6bJ4auIa8L Unit CTA1_01, Section CTA1_01-4 REAL32B 1 R1C1 2005-09-21 08:47:49.0 2005-09-21 08:48:10.0 2005-09-21 08:48:10.0 2005-09-21 08:48:10.0 21 21 1 0 0 1 140946 6bJ4auIa8L Unit CTA1_02, Section CTA1_02-4 REAL28 1 R1C1 2005-09-30 08:44:37.0 2005-09-30 08:44:49.0 2005-09-30 08:44:49.0 2005-09-30 08:44:49.0 12 12 1 0 0 1 141358 6bJ4auIa8L Unit ES_01, Section ES_01-11 EG27 2 7 = -x/-1 2005-10-19 13:58:29.0 2005-10-19 13:58:36.0 2005-10-19 13:58:55.0 2005-10-19 13:58:55.0 26 26 0 2 3 1 141377 6bJ4auIa8L Unit CTA1_04, Section CTA1_04-1 LDEMO_WSLVR 1 R5C1 2005-10-19 14:04:03.0 2005-10-19 14:04:11.0 2005-10-19 14:04:11.0 2005-10-19 14:04:11.0 8 8 1 0 0 1 Entering a given 107 141380 6bJ4auIa8L Unit ES_01, Section ES_01-11 EG27 5 7 = -x/-1 2005-10-19 14:04:34.0 2005-10-19 14:05:05.0 2005-10-19 14:05:11.0 37 37 0 0 2 0 141570 6bJ4auIa8L Unit CTA1_04, Section CTA1_04-3 PERCENT14A 1 N-0.2N+20 = 281.6 2005-11-02 08:29:48.0 2005-11-02 08:30:04.0 2005-11-02 08:30:23.0 2005-11-02 08:30:23.0 35 35 0 3 3 1 [SkillRule: Consolidate vars, no coeff; CLT] 81 142070 6bJ4auIa8L Unit ES_02, Section ES_02-9 EG44 2 3y = 10/y*y 2005-11-18 08:55:37.0 2005-11-18 08:55:42.0 2005-11-18 08:55:42.0 2005-11-18 08:55:42.0 5 5 1 0 0 1 142201 6bJ4auIa8L Unit CTA1_13, Section CTA1_13-1 PROP01 1 R7C2 2005-11-23 08:25:49.0 2005-11-23 08:25:55.0 2005-11-23 08:25:55.0 2005-11-23 08:25:55.0 6 6 1 0 0 1 Entering a given 192 142867 6bJ4auIa8L Unit CTA1_06, Section CTA1_06-4 L6FB18 1 3.75N = 350 2005-12-21 08:28:25.0 2005-12-21 08:28:30.0 2005-12-21 08:28:30.0 2005-12-21 08:28:30.0 5 5 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 81~~162 143411 6bJ4auIa8L Unit ES_03, Section ES_03-6 EG51 2 FinalAnswer 2006-01-19 14:12:44.0 2006-01-19 14:12:56.0 2006-01-19 14:12:56.0 2006-01-19 14:16:47.0 98 98 1 6 2 4 simplify-fractions-sp~~combine-like-terms-sp~~perform-mult-sp 31~~70~~36 143869 6bJ4auIa8L Unit CTA1_08, Section CTA1_08-3 REAL10 1 yScale 2006-01-26 13:59:24.0 2006-01-26 13:59:25.0 2006-01-26 13:59:25.0 2006-01-26 13:59:25.0 1 1 1 0 0 1 Changing axis intervals 74 144961 6bJ4auIa8L Unit ES_04, Section ES_04-15 LIT57 2 h*m/h = (a-h*3-b)/h 2006-03-10 08:20:22.0 2006-03-10 08:20:26.0 2006-03-10 08:20:26.0 2006-03-10 08:20:26.0 4 4 1 0 0 1 145280 6bJ4auIa8L Unit CTA1_10, Section CTA1_10-3 DISTFB06_SP 1 N-100000 = 675000 2006-03-31 08:50:54.0 2006-03-31 08:50:59.0 2006-03-31 08:50:59.0 2006-03-31 08:50:59.0 5 5 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 283~~33 145980 6bJ4auIa8L Unit ES_07, Section ES_07-6 LIT75A 1 (3-2)/7 = 7x/7 2006-05-10 08:49:51.0 2006-05-10 08:49:56.0 2006-05-10 08:49:56.0 2006-05-10 08:49:58.0 7 7 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 140 146025 6bJ4auIa8L Unit CTA1_12, Section CTA1_12-1 LDEMO_SYS 2 yMax 2006-05-17 08:41:37.0 2006-05-17 08:41:45.0 2006-05-17 08:41:45.0 2006-05-17 08:41:45.0 8 8 1 0 0 1 Changing axis bounds 194 146235 CaA0123UJL Unit CTA1_01, Section CTA1_01-4 JAN04A 1 R4C1 2005-09-28 08:22:14.0 2005-09-28 08:22:18.0 2005-09-28 08:22:18.0 2005-09-28 08:22:18.0 4 4 1 0 0 1 Entering a given 46 146480 CaA0123UJL Unit CTA1_02, Section CTA1_02-4 BH1T29B 1 XLabel 2005-10-14 08:53:27.0 2005-10-14 08:53:37.0 2005-10-14 08:53:37.0 2005-10-14 08:53:37.0 10 10 1 0 0 1 Labelling the axes 20 146675 CaA0123UJL Unit ES_01, Section ES_01-7 EG21 2 y+5 = -6 2005-10-26 08:50:50.0 2005-10-26 08:50:57.0 2005-10-26 08:50:57.0 2005-10-26 08:50:57.0 7 7 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 14~~9 146914 CaA0123UJL Unit CTA1_04, Section CTA1_04-3 PERCENT14A 1 R4C1 2005-11-30 08:51:23.0 2005-11-30 08:51:28.0 2005-11-30 08:51:28.0 2005-11-30 08:51:28.0 5 5 1 0 0 1 Entering a given 147 147127 CaA0123UJL Unit ES_02, Section ES_02-6 EG40 9 6 = -8-4y 2005-12-21 08:46:04.0 2005-12-21 08:46:13.0 2005-12-21 08:46:13.0 2005-12-21 08:46:13.0 9 9 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 57~~12 147363 CaA0123UJL Unit CTA1_13, Section CTA1_13-1 PROP06 1 R6C1 2006-02-03 08:38:42.0 2006-02-03 08:38:51.0 2006-02-03 08:38:51.0 2006-02-03 08:38:51.0 9 9 1 0 0 1 Entering a given 196 147707 CaA0123UJL Unit CTA1_06, Section CTA1_06-3 FEB13 1 R1C1 2006-04-05 08:43:57.0 2006-04-05 08:44:19.0 2006-04-05 08:44:19.0 2006-04-05 08:44:19.0 22 22 1 0 0 1 148020 ey9rvMnU57 Unit CTA1_01, Section CTA1_01-3 REAL20B 1 R3C1 2005-09-16 08:48:29.0 2005-09-16 08:48:50.0 2005-09-16 08:48:50.0 2005-09-16 08:48:50.0 21 21 1 0 0 1 Define Variable 11 148315 ey9rvMnU57 Unit CTA1_02, Section CTA1_02-4 BH1T29 1 R1C2 2005-09-30 08:36:27.0 2005-09-30 08:36:32.0 2005-09-30 08:36:32.0 2005-09-30 08:36:32.0 5 5 1 0 0 1 148522 ey9rvMnU57 Unit ES_01, Section ES_01-7 EG21 1 4 = 8+x 2005-10-07 08:34:55.0 2005-10-07 08:35:01.0 2005-10-07 08:35:01.0 2005-10-07 08:35:01.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 9~~5 148693 ey9rvMnU57 Unit CTA1_04, Section CTA1_04-3 BH1T41 1 R6C1 2005-10-19 08:36:04.0 2005-10-19 08:36:07.0 2005-10-19 08:36:07.0 2005-10-19 08:36:07.0 3 3 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 88~~12~~19 148969 ey9rvMnU57 Unit ES_02, Section ES_02-7 EG41 2 1*-7 = y/-7*-7 2005-10-28 08:53:54.0 2005-10-28 08:54:03.0 2005-10-28 08:54:03.0 2005-10-28 08:54:03.0 9 9 1 0 0 1 149158 ey9rvMnU57 Unit CTA1_13, Section CTA1_13-1 PROP09 1 R1C1 2005-11-04 08:24:02.0 2005-11-04 08:24:26.0 2005-11-04 08:24:26.0 2005-11-04 08:24:26.0 24 24 1 0 0 1 149809 ey9rvMnU57 Unit CTA1_06, Section CTA1_06-4 BH1T51 1 R2C1 2005-12-21 08:33:04.0 2005-12-21 08:33:11.0 2005-12-21 08:33:11.0 2005-12-21 08:33:11.0 7 7 1 0 0 1 Identifying units 109 150107 ey9rvMnU57 Unit ES_03, Section ES_03-8 LIT8A 1 x+s-x = 7-x 2006-01-27 08:30:37.0 2006-01-27 08:30:39.0 2006-01-27 08:30:39.0 2006-01-27 08:30:42.0 5 5 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 31 150269 ey9rvMnU57 Unit CTA1_08, Section CTA1_08-3 PERCENT12 1 Formula 1 Coeff 0 2006-02-10 08:41:54.0 2006-02-10 08:42:06.0 2006-02-10 08:42:06.0 2006-02-10 08:42:06.0 12 12 1 0 0 1 Setting the y-intercept 12 150576 ey9rvMnU57 Unit ES_04, Section ES_04-16 LIT57A 1 j*(n+3)+c-c = b-c 2006-03-03 08:33:53.0 2006-03-03 08:34:01.0 2006-03-03 08:34:01.0 2006-03-03 08:34:09.0 16 16 1 1 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 53 150843 ey9rvMnU57 Unit CTA1_10, Section CTA1_10-6 DISTFB10_SP 2 0.8X = 9.6 2006-03-31 08:31:41.0 2006-03-31 08:32:09.0 2006-03-31 08:32:09.0 2006-03-31 08:32:09.0 28 28 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 137~~265 150975 ey9rvMnU57 Unit ES_07, Section ES_07-5 LIT82 1 v*(k*h+h) = w*h 2006-04-28 08:42:24.0 2006-04-28 08:42:39.0 2006-04-28 08:42:39.0 2006-04-28 08:42:39.0 15 15 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 293 151236 ey9rvMnU57 Unit CTA1_12, Section CTA1_12-4 SYSFB22 1 XLabel 2006-05-17 08:44:09.0 2006-05-17 08:44:13.0 2006-05-17 08:44:13.0 2006-05-17 08:44:13.0 4 4 1 0 0 1 Labelling the axes 127 151433 M7hLaVJGvX Unit CTA1_01, Section CTA1_01-3 BH1T19C 2 R3C1 2005-09-23 08:15:22.0 2005-09-23 08:15:28.0 2005-09-23 08:15:28.0 2005-09-23 08:15:28.0 6 6 1 0 0 1 Define Variable 17 151731 M7hLaVJGvX Unit CTA1_02, Section CTA1_02-4 BH1T29B 1 R2C1 2005-10-05 08:52:22.0 2005-10-05 08:52:32.0 2005-10-05 08:52:32.0 2005-10-05 08:52:32.0 10 10 1 0 0 1 Identifying units 52 152068 M7hLaVJGvX Unit ES_01, Section ES_01-11 EG27 1 row2constant factors 2005-10-21 08:42:04.0 2005-10-21 08:42:23.0 2005-10-21 08:42:23.0 2005-10-21 08:42:23.0 19 19 1 0 0 1 152267 M7hLaVJGvX Unit CTA1_04, Section CTA1_04-3 L2FB15A 1 R1C1 2005-11-02 08:42:41.0 2005-11-02 08:43:17.0 2005-11-02 08:43:27.0 2005-11-02 08:43:27.0 46 46 0 1 0 1 153125 M7hLaVJGvX Unit ES_02, Section ES_02-10 EG44 4 -4y/y*1 = 5y 2005-12-09 10:01:53.0 2005-12-09 10:01:59.0 2005-12-09 10:01:59.0 2005-12-09 10:02:30.0 13 13 1 1 2 1 153252 M7hLaVJGvX Unit CTA1_13, Section CTA1_13-1 PROP09 1 R3C2 2005-12-16 08:22:20.0 2005-12-16 08:22:27.0 2005-12-16 08:22:27.0 2005-12-16 08:22:27.0 7 7 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 148~~51~~71 153777 M7hLaVJGvX Unit CTA1_06, Section CTA1_06-4 BH1T48 2 xMin 2006-01-27 08:32:12.0 2006-01-27 08:32:55.0 2006-01-27 08:32:55.0 2006-01-27 08:32:55.0 43 43 1 0 0 1 Changing axis bounds 103 154211 M7hLaVJGvX Unit ES_03, Section ES_03-6 EG52 1 x1R1 2006-02-17 08:42:30.0 2006-02-17 08:42:33.0 2006-02-17 08:42:33.0 2006-02-17 08:44:12.0 6 6 1 0 0 2 154595 M7hLaVJGvX Unit CTA1_08, Section CTA1_08-3 FEB08 1 Slope Field 1 2006-03-10 08:42:13.0 2006-03-10 08:42:28.0 2006-03-10 08:44:47.0 37 37 0 3 3 0 Entering the slope 18 154955 M7hLaVJGvX Unit ES_04, Section ES_04-10 EG57A 4 (-845/19)/2 = 2x/2 2006-04-28 08:31:29.0 2006-04-28 08:32:21.0 2006-04-28 08:32:21.0 2006-04-28 08:32:25.0 56 56 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 64 155279 M7hLaVJGvX Unit CTA1_10, Section CTA1_10-2 REAL18_SP 1 0.8(D-100) = 150 2006-05-17 08:24:38.0 2006-05-17 08:24:43.0 2006-05-17 08:24:53.0 2006-05-17 08:24:53.0 15 15 0 0 2 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 90 155507 mNzo8mGzu9 Unit CTA1_01, Section CTA1_01-4 JAN13C 1 R3C1 2005-09-21 08:36:18.0 2005-09-21 08:36:26.0 2005-09-21 08:36:43.0 2005-09-21 08:36:43.0 25 25 0 1 0 1 Define Variable 16 155665 mNzo8mGzu9 Unit CTA1_02, Section CTA1_02-4 BH1T29B 1 R2C1 2005-09-28 08:34:18.0 2005-09-28 08:34:21.0 2005-09-28 08:34:21.0 2005-09-28 08:34:21.0 3 3 1 0 0 1 Identifying units 36 155827 mNzo8mGzu9 Unit ES_01, Section ES_01-6 EG22 2 y-1+1 = 0+1 2005-09-30 08:48:02.0 2005-09-30 08:48:08.0 2005-09-30 08:48:08.0 2005-09-30 08:48:08.0 6 6 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 17 156085 mNzo8mGzu9 Unit CTA1_04, Section CTA1_04-4 L5FB04B 1 R7C2 2005-10-19 08:44:24.0 2005-10-19 08:44:35.0 2005-10-19 08:44:35.0 2005-10-19 08:44:35.0 11 11 1 0 0 1 Entering a given 128 156225 mNzo8mGzu9 Unit ES_02, Section ES_02-7 EG41 2 5 = -10+(y/-6) 2005-10-21 08:42:55.0 2005-10-21 08:43:03.0 2005-10-21 08:43:03.0 2005-10-21 08:43:03.0 8 8 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 32 156371 mNzo8mGzu9 Unit CTA1_13, Section CTA1_13-1 PROP01 1 R6C1 2005-11-02 08:28:01.0 2005-11-02 08:28:09.0 2005-11-02 08:28:09.0 2005-11-02 08:28:09.0 8 8 1 0 0 1 Entering a given 158 156800 mNzo8mGzu9 Unit CTA1_06, Section CTA1_06-4 L6FB18 2 XLabel 2005-11-30 08:22:55.0 2005-11-30 08:23:11.0 2005-11-30 08:23:11.0 2005-11-30 08:23:11.0 16 16 1 0 0 1 Labelling the axes 53 157132 mNzo8mGzu9 Unit ES_03, Section ES_03-6 EG51A 1 constant termsR2 2005-12-09 10:12:57.0 2005-12-09 10:13:03.0 2005-12-09 10:13:03.0 2005-12-09 10:13:03.0 6 6 1 0 0 1 157352 mNzo8mGzu9 Unit CTA1_08, Section CTA1_08-3 NOV13 1 Slope Field 1 2005-12-16 08:52:27.0 2005-12-16 08:52:32.0 2005-12-16 08:52:32.0 2005-12-16 08:52:32.0 5 5 1 0 0 1 Entering the slope 10 157572 mNzo8mGzu9 Unit ES_04, Section ES_04-13 LIT32 1 -j/b = b*s/b 2006-01-04 08:34:41.0 2006-01-04 08:34:45.0 2006-01-04 08:34:45.0 2006-01-04 08:34:45.0 4 4 1 0 0 1 157927 mNzo8mGzu9 Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 15X = 8505 2006-01-27 08:54:46.0 2006-01-27 08:54:50.0 2006-01-27 08:54:50.0 2006-01-27 08:54:50.0 4 4 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 123~~251 158106 mNzo8mGzu9 Unit ES_07, Section ES_07-6 LIT72A 1 n+q = c*s 2006-02-17 08:33:53.0 2006-02-17 08:34:00.0 2006-02-17 08:34:00.0 2006-02-17 08:34:00.0 7 7 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 218 158313 mNzo8mGzu9 Unit CTA1_12, Section CTA1_12-4 SYSFB04 2 R5C1 2006-03-10 08:19:28.0 2006-03-10 08:19:33.0 2006-03-10 08:19:33.0 2006-03-10 08:19:33.0 5 5 1 0 0 1 158561 mNzo8mGzu9 Unit ES_05, Section ES_05-8 EG61 1 0.19x-6.17+7.21x = 9.44-7.21x+7.21x 2006-03-31 08:40:25.0 2006-03-31 08:40:44.0 2006-03-31 08:40:44.0 2006-03-31 08:40:48.0 23 23 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 83 158896 mNzo8mGzu9 Unit CTA1_14, Section CTA1_14-4 2PTFB10 1 R1C2 2006-05-10 08:54:25.0 2006-05-10 08:54:57.0 2006-05-10 08:54:57.0 2006-05-10 08:54:57.0 32 32 1 0 0 1 159086 z9svx3mA4s Unit CTA1_01, Section CTA1_01-3 REAL20A 1 R4C2 2005-09-14 08:43:24.0 2005-09-14 08:43:42.0 2005-09-14 08:43:42.0 2005-09-14 08:43:42.0 18 18 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 37~~19~~5 159261 z9svx3mA4s Unit CTA1_02, Section CTA1_02-3 L3NOV10 1 R1C2 2005-09-21 08:30:03.0 2005-09-21 08:30:08.0 2005-09-21 08:30:08.0 2005-09-21 08:30:08.0 5 5 1 0 0 1 159498 z9svx3mA4s Unit ES_01, Section ES_01-11 EG27 2 2/-1 = -x/-1 2005-09-23 08:37:46.0 2005-09-23 08:37:48.0 2005-09-23 08:37:48.0 2005-09-23 08:37:52.0 6 6 1 0 0 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] 2 159677 z9svx3mA4s Unit CTA1_04, Section CTA1_04-3 L2FB15C 2 R6C2 2005-09-30 08:19:02.0 2005-09-30 08:19:08.0 2005-09-30 08:19:08.0 2005-09-30 08:19:08.0 6 6 1 0 0 1 Entering a given 129 159846 z9svx3mA4s Unit ES_02, Section ES_02-6 EG40 1 0 = -7y 2005-09-30 08:50:05.0 2005-09-30 08:50:10.0 2005-09-30 08:50:10.0 2005-09-30 08:50:10.0 5 5 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 49~~16 160054 z9svx3mA4s Unit CTA1_13, Section CTA1_13-1 PROP13 1 R3C1 2005-10-07 08:42:54.0 2005-10-07 08:42:55.0 2005-10-07 08:42:55.0 2005-10-07 08:42:55.0 1 1 1 0 0 1 Define Variable 52 160323 z9svx3mA4s Unit CTA1_06, Section CTA1_06-4 L6FB07 1 R2C2 2005-10-26 08:30:13.0 2005-10-26 08:30:16.0 2005-10-26 08:30:16.0 2005-10-26 08:30:16.0 3 3 1 0 0 1 Identifying units 86 160752 z9svx3mA4s Unit ES_03, Section ES_03-7 LIT4 1 a*h/a = w/a 2005-11-04 08:27:28.0 2005-11-04 08:27:32.0 2005-11-04 08:27:32.0 2005-11-04 08:27:32.0 4 4 1 0 0 1 160979 z9svx3mA4s Unit CTA1_08, Section CTA1_08-3 BH1T07 1 Formula 1 Coeff 1 2005-11-11 08:35:10.0 2005-11-11 08:35:12.0 2005-11-11 08:35:13.0 2005-11-11 08:35:13.0 3 3 0 1 0 1 Setting the slope 13 161288 z9svx3mA4s Unit ES_04, Section ES_04-13 LIT36 1 -n/6 = 6z/6 2005-11-23 08:40:14.0 2005-11-23 08:40:17.0 2005-11-23 08:40:17.0 2005-11-23 08:40:17.0 3 3 1 0 0 1 161517 z9svx3mA4s Unit CTA1_10, Section CTA1_10-4 FOR08_SP 1 R3C1 2005-12-02 08:50:07.0 2005-12-02 08:50:10.0 2005-12-02 08:50:10.0 2005-12-02 08:50:10.0 3 3 1 0 0 1 Define Variable 103 161708 z9svx3mA4s Unit ES_07, Section ES_07-4 LIT68A 1 6h-2j = c*g+8z 2005-12-09 10:08:52.0 2005-12-09 10:08:59.0 2005-12-09 10:08:59.0 2005-12-09 10:08:59.0 7 7 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 181 162138 z9svx3mA4s Unit CTA1_12, Section CTA1_12-6 SYSFB03 1 yMax 2006-01-04 08:49:24.0 2006-01-04 08:49:39.0 2006-01-04 08:49:39.0 2006-01-04 08:49:39.0 15 15 1 0 0 1 Changing axis bounds 138 162311 z9svx3mA4s Unit ES_05, Section ES_05-12 LIT38 1 y-b = m*x 2006-01-11 08:17:34.0 2006-01-11 08:17:39.0 2006-01-11 08:17:39.0 2006-01-11 08:17:39.0 5 5 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 331 162608 z9svx3mA4s Unit CTA1_14, Section CTA1_14-4 IPCTURDUCKEN 1 R6C1 2006-02-03 08:43:56.0 2006-02-03 08:43:58.0 2006-02-03 08:44:07.0 2006-02-03 08:44:07.0 9 9 0 1 0 1 Using small numbers~~Find X, negative slope~~Using difficult numbers 274~~44~~153 162787 z9svx3mA4s Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-2X-2YGE9 1 ShadeButton1 2006-02-17 08:30:29.0 2006-02-17 08:30:32.0 2006-02-17 08:30:32.0 2006-02-17 08:30:32.0 3 3 1 0 0 1 Shading greater than~~Including the line when shading~~Shading GLF equation with negative slope 8~~8~~3 163113 z9svx3mA4s Unit CTA1_15, Section CTA1_15-3 SYS07 1 Intersection 1 X 2006-03-10 08:23:00.0 2006-03-10 08:23:07.0 2006-03-10 08:23:07.0 2006-03-10 08:23:07.0 7 7 1 0 0 1 Labelling point of intersection 49 163240 z9svx3mA4s Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE7TRE 1 R6C2 2006-03-10 08:43:54.0 2006-03-10 08:43:57.0 2006-03-10 08:43:57.0 2006-03-10 08:43:57.0 3 3 1 0 0 1 163412 z9svx3mA4s Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR24 1 c-factor-2 2006-03-31 08:56:00.0 2006-03-31 08:56:01.0 2006-03-31 08:56:03.0 2006-03-31 08:56:03.0 3 3 0 1 0 1 163735 z9svx3mA4s Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR10 1 14/2 = x 2006-04-21 08:48:48.0 2006-04-21 08:48:54.0 2006-04-21 08:48:54.0 2006-04-21 08:48:54.0 6 6 1 0 0 1 163843 z9svx3mA4s Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD2TRE 2 T = (-320?sqrt(320^2-4*-16*-5))/-32 2006-05-17 08:28:32.0 2006-05-17 08:28:43.0 2006-05-17 08:28:43.0 2006-05-17 08:28:43.0 11 11 1 0 0 1 164001 34f4oB5Cod Unit CTA1_01, Section CTA1_01-3 REAL20 1 R1C1 2005-09-14 08:54:04.0 2005-09-14 08:54:21.0 2005-09-14 08:54:21.0 2005-09-14 08:54:21.0 17 17 1 0 0 1 164269 34f4oB5Cod Unit CTA1_02, Section CTA1_02-3 L3NOV10B 1 R6C1 2005-09-28 08:29:39.0 2005-09-28 08:29:45.0 2005-09-28 08:29:45.0 2005-09-28 08:29:45.0 6 6 1 0 0 1 Entering a given 90 164593 34f4oB5Cod Unit ES_01, Section ES_01-10 EG27 3 -x/-1 = 4 2005-10-05 08:45:42.0 2005-10-05 08:45:45.0 2005-10-05 08:45:45.0 2005-10-05 08:45:45.0 3 3 1 0 0 1 164749 34f4oB5Cod Unit CTA1_04, Section CTA1_04-2 BH1T32B 1 175+2.5S = 4000 2005-10-14 08:54:17.0 2005-10-14 08:54:25.0 2005-10-14 08:54:25.0 2005-10-14 08:54:25.0 8 8 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 33 165087 34f4oB5Cod Unit ES_02, Section ES_02-7 EG41 6 -x/4*-4 = 1*-4 2005-10-28 08:21:16.0 2005-10-28 08:21:25.0 2005-10-28 08:21:25.0 2005-10-28 08:21:25.0 9 9 1 0 0 1 165414 34f4oB5Cod Unit CTA1_13, Section CTA1_13-1 PROP06 1 R1C1 2005-11-11 08:47:29.0 2005-11-11 08:47:45.0 2005-11-11 08:47:45.0 2005-11-11 08:47:45.0 16 16 1 0 0 1 165935 34f4oB5Cod Unit CTA1_06, Section CTA1_06-4 BH1T51 1 R6C1 2005-12-07 08:46:56.0 2005-12-07 08:47:11.0 2005-12-07 08:47:11.0 2005-12-07 08:47:11.0 15 15 1 0 0 1 Entering a given~~Convert unit, standard 306~~27 166294 34f4oB5Cod Unit ES_03, Section ES_03-7 LIT15 1 (t/n)/(1/n) = 10/(1/n) 2006-01-06 08:27:51.0 2006-01-06 08:27:57.0 2006-01-06 08:28:21.0 2006-01-06 08:28:21.0 30 30 0 1 3 1 [SkillRule: invert-mult; {ivm}] 1 166531 34f4oB5Cod Unit CTA1_08, Section CTA1_08-3 DEC04 1 Formula 1 Coeff 0 2006-01-11 08:47:02.0 2006-01-11 08:47:24.0 2006-01-11 08:47:24.0 2006-01-11 08:47:24.0 22 22 1 0 0 1 Setting the y-intercept 13 167162 34f4oB5Cod Unit ES_04, Section ES_04-14 LIT27A 1 6R = 90-g 2006-02-03 08:43:43.0 2006-02-03 08:43:57.0 2006-02-03 08:44:05.0 2006-02-03 08:44:05.0 22 22 0 0 3 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 267 167442 34f4oB5Cod Unit CTA1_10, Section CTA1_10-3 DISTFB05_SP 1 R6C1 2006-02-15 08:52:49.0 2006-02-15 08:52:53.0 2006-02-15 08:52:53.0 2006-02-15 08:52:53.0 4 4 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 236~~134~~68 167887 34f4oB5Cod Unit ES_04, Section ES_04-16 LIT58A 2 FinalAnswer 2006-03-17 08:48:53.0 2006-03-17 08:48:58.0 2006-03-17 08:48:58.0 2006-03-17 08:48:58.0 5 5 1 0 0 1 simplify-fractions-sp 124 168113 34f4oB5Cod Unit CTA1_10, Section CTA1_10-4 DIST02_SP 2 40(X-4) = 800 2006-03-24 08:27:36.0 2006-03-24 08:27:42.0 2006-03-24 08:27:42.0 2006-03-24 08:27:42.0 6 6 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 180 168477 34f4oB5Cod Unit ES_07, Section ES_07-5 LIT72 1 m = b*r-n 2006-04-28 08:38:32.0 2006-04-28 08:38:39.0 2006-04-28 08:38:39.0 7 7 0 1 0 0 [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] 16 169046 34f4oB5Cod Unit CTA1_12, Section CTA1_12-6 SYSFB03 1 R3C2 2006-05-26 08:29:47.0 2006-05-26 08:31:33.0 2006-05-26 08:31:33.0 2006-05-26 08:31:33.0 106 106 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 316~~298~~142 169253 34f4oB5Cod Unit ES_05, Section ES_05-6 EG60 9 -6+2Y = -4Y 2006-06-02 08:46:24.0 2006-06-02 08:46:32.0 2006-06-02 08:47:01.0 2006-06-02 08:47:01.0 37 37 0 4 2 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 84 169490 39Uc7ru04l Unit CTA1_01, Section CTA1_01-3 REAL20B 1 R3C1 2005-09-23 08:52:27.0 2005-09-23 08:53:38.0 2005-09-23 08:53:38.0 2005-09-23 08:53:38.0 71 71 1 0 0 1 Define Variable 16 169836 39Uc7ru04l Unit CTA1_02, Section CTA1_02-3 L3NOV12A 2 R7C2 2005-10-07 13:54:49.0 2005-10-07 13:56:19.0 2005-10-07 13:57:03.0 2005-10-07 13:57:03.0 127 127 0 3 2 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 151~~72~~43 170198 39Uc7ru04l Unit ES_01, Section ES_01-9 EG23 1 -8/5 = 5x/5 2005-10-19 08:42:21.0 2005-10-19 08:42:30.0 2005-10-19 08:42:30.0 2005-10-19 08:51:37.0 556 556 1 11 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 2 170534 39Uc7ru04l Unit CTA1_04, Section CTA1_04-4 BH1T47B 1 R7C1 2005-11-04 08:44:16.0 2005-11-04 08:44:22.0 2005-11-04 08:54:10.0 2005-11-04 08:54:10.0 211 211 0 7 6 1 Using simple numbers~~Using small numbers~~Find X, negative slope 186~~133~~8 171359 39Uc7ru04l Unit ES_02, Section ES_02-8 EG41 6 x/-4+6-6 = -1-6 2006-01-25 08:22:00.0 2006-01-25 08:22:02.0 2006-01-25 08:22:17.0 2006-01-25 08:22:34.0 34 34 0 0 4 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]]~~[SkillRule: Consolidate vars with coeff; CLT] 74~~163 171839 39Uc7ru04l Unit CTA1_13, Section CTA1_13-1 PROP02 1 R5C2 2006-02-03 08:48:02.0 2006-02-03 08:48:08.0 2006-02-03 08:48:08.0 2006-02-03 08:48:08.0 6 6 1 0 0 1 Entering a given 210 172650 39Uc7ru04l Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 0.99-0.05X = 0 2006-02-28 12:03:53.0 2006-02-28 12:04:06.0 2006-02-28 12:04:06.0 2006-02-28 12:04:06.0 13 13 1 0 0 1 173255 39Uc7ru04l Unit ES_03, Section ES_03-8 LIT11A 1 -n/-1 = (t-2)/-1 2006-03-09 08:30:35.0 2006-03-09 08:30:51.0 2006-03-09 08:30:59.0 2006-03-09 08:31:41.0 66 66 0 1 4 3 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] 22 173515 39Uc7ru04l Unit CTA1_08, Section CTA1_08-3 DEC04 1 XUnit 2006-03-10 08:49:27.0 2006-03-10 08:49:29.0 2006-03-10 08:49:29.0 2006-03-10 08:49:29.0 2 2 1 0 0 1 174722 39Uc7ru04l Unit ES_04, Section ES_04-14 LIT28A 1 j = c*a+c*-2 2006-05-04 08:52:44.0 2006-05-04 08:52:51.0 2006-05-04 08:53:00.0 2006-05-04 08:53:00.0 16 16 0 0 3 1 [SkillRule: Extract to consolidate vars; {factor; factorb; factorc; factord}] 6 175092 39Uc7ru04l Unit CTA1_10, Section CTA1_10-4 FOR08_SP 1 R7C1 2006-05-17 08:35:15.0 2006-05-17 08:35:21.0 2006-05-17 08:35:21.0 2006-05-17 08:35:21.0 6 6 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 280~~155~~91 175556 39Uc7ru04l Unit ES_07, Section ES_07-6 LIT71 1 2a = b*h/2*2 2006-05-31 08:49:43.0 2006-05-31 08:49:47.0 2006-05-31 08:49:47.0 2006-05-31 08:49:47.0 4 4 1 0 0 1 175780 39Uc7ru04l Unit CTA1_12, Section CTA1_12-2 SYSFB17 1 -250X = -3220 2006-06-07 08:49:58.0 2006-06-07 08:50:06.0 2006-06-07 08:50:06.0 2006-06-07 08:50:06.0 8 8 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 557~~120 175988 589M2uPIY4 Unit CTA1_01, Section CTA1_01-3 JAN11A 1 R2C2 2005-09-23 08:28:30.0 2005-09-23 08:28:32.0 2005-09-23 08:28:32.0 2005-09-23 08:28:32.0 2 2 1 0 0 1 Identifying units 24 176283 589M2uPIY4 Unit CTA1_02, Section CTA1_02-3 BH1T39B 1 R1C2 2005-10-14 08:45:03.0 2005-10-14 08:45:22.0 2005-10-14 08:45:22.0 2005-10-14 08:45:22.0 19 19 1 0 0 1 176706 589M2uPIY4 Unit ES_01, Section ES_01-9 EG25 2 x/2*2 = 9*2 2005-11-02 08:47:05.0 2005-11-02 08:47:09.0 2005-11-02 08:47:09.0 2005-11-02 08:47:14.0 9 9 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 6 176906 589M2uPIY4 Unit CTA1_04, Section CTA1_04-3 DEC01B 1 R1C1 2005-11-21 09:59:20.0 2005-11-21 10:02:52.0 2005-11-21 10:05:07.0 2005-11-21 10:05:07.0 347 347 0 7 0 1 177182 589M2uPIY4 Unit ES_02, Section ES_02-6 EG40 1 5 = -5x 2005-12-07 08:42:53.0 2005-12-07 08:43:38.0 2005-12-07 08:43:38.0 2005-12-07 08:43:38.0 45 45 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 65~~33 177462 589M2uPIY4 Unit CTA1_13, Section CTA1_13-1 PROP02 1 R3C2 2006-01-04 08:31:45.0 2006-01-04 08:32:10.0 2006-01-04 08:32:10.0 2006-01-04 08:32:10.0 25 25 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 153~~58~~74 177911 589M2uPIY4 Unit CTA1_06, Section CTA1_06-3 BH1T43 1 R4C1 2006-02-08 08:42:49.0 2006-02-08 08:43:07.0 2006-02-08 08:43:07.0 2006-02-08 08:43:07.0 18 18 1 0 0 1 Entering a given 317 178553 589M2uPIY4 Unit ES_03, Section ES_03-6 EG51 2 y1R1 2006-03-28 13:58:24.0 2006-03-28 13:58:33.0 2006-03-28 13:58:33.0 2006-03-28 13:58:33.0 9 9 1 0 0 1 178875 589M2uPIY4 Unit CTA1_08, Section CTA1_08-3 REAL10 1 R1C1 2006-05-04 08:29:22.0 2006-05-04 08:29:55.0 2006-05-04 08:29:55.0 2006-05-04 08:29:55.0 33 33 1 0 0 1 179294 589M2uPIY4 Unit ES_04, Section ES_04-12 EG58A 5 constant factors2R1 2006-05-26 08:44:04.0 2006-05-26 08:44:09.0 2006-05-26 08:44:09.0 2006-05-26 08:44:09.0 5 5 1 0 0 1 179476 6dGeA2ZpO4 Unit CTA1_01, Section CTA1_01-2 BH1T22A 1 R1C2 2005-09-07 09:04:31.0 2005-09-07 09:04:40.0 2005-09-07 09:04:40.0 9 9 0 1 0 0 179661 77y7iIIXuv Unit CTA1_01, Section CTA1_01-3 DEC03A 1 R4C1 2005-09-16 12:00:01.0 2005-09-16 12:00:07.0 2005-09-16 12:00:07.0 2005-09-16 12:00:07.0 6 6 1 0 0 1 Entering a given 43 179896 77y7iIIXuv Unit CTA1_02, Section CTA1_02-3 BH1T39C 1 XUnit 2005-09-23 08:35:33.0 2005-09-23 08:36:20.0 2005-09-23 08:36:20.0 2005-09-23 08:36:20.0 47 47 1 0 0 1 180194 77y7iIIXuv Unit ES_01, Section ES_01-8 EG24 6 -8y/-8 = 0/-8 2005-10-05 08:37:06.0 2005-10-05 08:37:12.0 2005-10-05 08:37:12.0 2005-10-05 08:37:12.0 6 6 1 0 0 1 180517 77y7iIIXuv Unit CTA1_04, Section CTA1_04-4 BH1T47B 1 R2C2 2005-10-14 10:20:23.0 2005-10-14 10:20:30.0 2005-10-14 10:20:30.0 2005-10-14 10:20:30.0 7 7 1 0 0 1 Identifying units 89 180754 77y7iIIXuv Unit ES_02, Section ES_02-6 EG40 8 constant termsR2 2005-10-28 08:45:52.0 2005-10-28 08:45:56.0 2005-10-28 08:45:56.0 2005-10-28 08:45:56.0 4 4 1 0 0 1 180997 77y7iIIXuv Unit CTA1_13, Section CTA1_13-1 PROP10 1 R3C1 2005-11-03 10:12:11.0 2005-11-03 10:12:22.0 2005-11-03 10:12:22.0 2005-11-03 10:12:22.0 11 11 1 0 0 1 Define Variable 66 181727 77y7iIIXuv Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 -1.25+0.15X = 0 2005-12-09 10:12:59.0 2005-12-09 10:13:10.0 2005-12-09 10:13:19.0 2005-12-09 10:13:19.0 20 20 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 129~~47 181997 77y7iIIXuv Unit ES_03, Section ES_03-8 LIT18A 1 -u*w = 6 2006-01-04 08:29:14.0 2006-01-04 08:29:23.0 2006-01-04 08:29:23.0 2006-01-04 08:30:14.0 28 28 1 0 0 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 235 182305 77y7iIIXuv Unit CTA1_08, Section CTA1_08-3 REAL37 1 Intercept Field 1 2006-01-13 10:08:02.0 2006-01-13 10:08:08.0 2006-01-13 10:08:08.0 2006-01-13 10:08:08.0 6 6 1 0 0 1 Entering the y-intercept 20 182800 77y7iIIXuv Unit ES_04, Section ES_04-14 LIT25A 1 k*c+r-r = 7-r 2006-02-10 08:50:10.0 2006-02-10 08:50:16.0 2006-02-10 08:50:16.0 2006-02-10 08:50:21.0 11 11 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 88 183006 77y7iIIXuv Unit CTA1_10, Section CTA1_10-3 DIST11_SP 1 R2C1 2006-02-21 11:18:12.0 2006-02-21 11:18:26.0 2006-02-21 11:18:26.0 2006-02-21 11:18:26.0 14 14 1 0 0 1 Identifying units 178 183260 77y7iIIXuv Unit ES_04, Section ES_04-12 EG58A 7 x1R1 2006-02-28 11:38:29.0 2006-02-28 11:38:32.0 2006-02-28 11:38:32.0 2006-02-28 11:38:32.0 3 3 1 0 0 1 183710 77y7iIIXuv Unit CTA1_10, Section CTA1_10-5 DIST05_SP 1 R2C2 2006-03-10 08:25:08.0 2006-03-10 08:25:13.0 2006-03-10 08:25:13.0 2006-03-10 08:25:13.0 5 5 1 0 0 1 Identifying units 203 183897 77y7iIIXuv Unit ES_07, Section ES_07-4 LIT69A 2 FinalAnswer 2006-03-22 08:25:10.0 2006-03-22 08:25:20.0 2006-03-22 08:25:20.0 2006-03-22 08:25:20.0 10 10 1 0 0 1 factor-sp 10 184360 77y7iIIXuv Unit CTA1_12, Section CTA1_12-5 SYSFB25 1 xMax 2006-04-21 08:50:28.0 2006-04-21 08:52:02.0 2006-04-21 08:52:02.0 2006-04-21 08:52:02.0 94 94 1 0 0 1 Changing axis bounds 246 184552 77y7iIIXuv Unit ES_05, Section ES_05-6 EG60 5 4-11Y-4 = 8-4 2006-05-10 08:23:13.0 2006-05-10 08:23:19.0 2006-05-10 08:23:19.0 2006-05-10 08:23:26.0 13 13 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 177 184793 77y7iIIXuv Unit CTA1_14, Section CTA1_14-2 DEC05 1 R6C1 2006-05-19 08:36:55.0 2006-05-19 08:36:59.0 2006-05-19 08:36:59.0 2006-05-19 08:36:59.0 4 4 1 0 0 1 Using small numbers~~Find X, negative slope~~Using difficult numbers 347~~36~~200 185072 7RB2G4NbCn Unit CTA1_01, Section CTA1_01-3 DEC03 1 R4C2 2005-09-30 08:41:38.0 2005-09-30 08:42:36.0 2005-09-30 08:42:36.0 2005-09-30 08:42:36.0 58 58 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 55~~27~~11 185343 7RB2G4NbCn Unit CTA1_02, Section CTA1_02-4 REAL19B 1 R5C2 2005-11-18 08:51:24.0 2005-11-18 08:51:37.0 2005-11-18 08:51:50.0 2005-11-18 08:51:50.0 26 26 0 2 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 120~~53~~12 185592 7RB2G4NbCn Unit ES_01, Section ES_01-9 EG26 1 y/-6*-6 = 4*-6 2005-12-21 08:21:35.0 2005-12-21 08:23:14.0 2005-12-21 08:24:02.0 2005-12-21 08:24:24.0 169 169 0 2 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 1 185840 7RB2G4NbCn Unit CTA1_04, Section CTA1_04-4 BH1T47 1 R6C2 2006-03-10 08:37:58.0 2006-03-10 08:38:11.0 2006-03-10 08:38:27.0 2006-03-10 08:38:27.0 29 29 0 2 0 1 Entering a given 162 186117 7RB2G4NbCn Unit ES_02, Section ES_02-10 EG44 2 4y = 5/y*y 2006-05-11 08:31:52.0 2006-05-11 08:31:58.0 2006-05-11 08:31:58.0 2006-05-11 08:32:14.0 22 22 1 0 0 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 15 186267 7RB2G4NbCn Unit CTA1_13, Section CTA1_13-1 PROP13 2 R6C1 2006-05-26 08:17:11.0 2006-05-26 08:17:27.0 2006-05-26 08:18:43.0 2006-05-26 08:18:43.0 92 92 0 1 0 1 Entering a given~~Convert unit, standard 213~~14 186332 7RB2G4NbCn Unit CTA1_06, Section CTA1_06-2 FEB11 2 R3C2 2006-06-02 08:28:36.0 2006-06-02 08:33:22.0 2006-06-02 08:37:39.0 2006-06-02 08:37:39.0 543 543 0 1 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 143~~147~~56 186547 9eV0EGVC6j Unit CTA1_01, Section CTA1_01-4 REAL32C 1 R5C1 2005-09-28 08:51:38.0 2005-09-28 08:52:06.0 2005-09-28 08:52:06.0 2005-09-28 08:52:06.0 28 28 1 0 0 1 Entering a given 40 186713 9eV0EGVC6j Unit CTA1_02, Section CTA1_02-3 BH1T39A 2 R8C1 2005-10-28 08:29:52.0 2005-10-28 08:30:15.0 2005-10-28 08:30:15.0 2005-10-28 08:30:15.0 23 23 1 0 0 1 Using simple numbers~~Using small numbers~~Find X, positive slope 102~~63~~5 186988 9eV0EGVC6j Unit ES_01, Section ES_01-9 EG23 1 4y/4 = 2/4 2005-12-07 08:42:04.0 2005-12-07 08:42:46.0 2005-12-07 08:42:50.0 46 46 0 2 0 0 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 3 187194 9eV0EGVC6j Unit CTA1_04, Section CTA1_04-4 BH1T47C 2 R4C1 2006-01-11 08:17:17.0 2006-01-11 08:19:17.0 2006-01-11 08:19:22.0 2006-01-11 08:19:22.0 125 125 0 1 0 1 Entering a given 148 187524 9eV0EGVC6j Unit ES_02, Section ES_02-10 EG44 5 -1 = 9/y 2006-02-03 08:17:48.0 2006-02-03 08:18:18.0 2006-02-03 08:19:57.0 2006-02-03 08:19:57.0 129 129 0 1 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 9 187590 9eV0EGVC6j Unit CTA1_13, Section CTA1_13-1 PROP12 1 R3C2 2006-02-03 08:47:33.0 2006-02-03 08:47:45.0 2006-02-03 08:47:45.0 2006-02-03 08:47:45.0 12 12 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 129~~39~~57 187954 9eV0EGVC6j Unit CTA1_06, Section CTA1_06-4 L6FB07 1 R2C2 2006-03-21 09:18:31.0 2006-03-21 09:18:34.0 2006-03-21 09:18:34.0 2006-03-21 09:18:34.0 3 3 1 0 0 1 Identifying units 92 188457 9eV0EGVC6j Unit ES_03, Section ES_03-5 EG53A 1 80.7 = -37.2x-31.3+31.3 2006-05-26 08:43:45.0 2006-05-26 08:43:47.0 2006-05-26 08:43:47.0 2006-05-26 08:43:47.0 2 2 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 87 188670 9eV0EGVC6j Unit CTA1_08, Section CTA1_08-2 REAL30 1 R2C2 2006-06-05 09:06:49.0 2006-06-05 09:06:52.0 2006-06-05 09:06:52.0 2006-06-05 09:06:52.0 3 3 1 0 0 1 Identifying units 106 188824 c1zVCHxCEz Unit CTA1_01, Section CTA1_01-3 L5FB03B 1 R2C2 2005-09-15 14:07:28.0 2005-09-15 14:07:31.0 2005-09-15 14:07:35.0 2005-09-15 14:07:35.0 7 7 0 1 0 1 Identifying units 24 189004 c1zVCHxCEz Unit CTA1_02, Section CTA1_02-3 BH1T39A 1 R3C1 2005-09-21 08:45:27.0 2005-09-21 08:45:30.0 2005-09-21 08:45:30.0 2005-09-21 08:45:30.0 3 3 1 0 0 1 Define Variable 25 189288 c1zVCHxCEz Unit ES_01, Section ES_01-11 EG27 2 -y = 9 2005-09-28 08:21:56.0 2005-09-28 08:22:00.0 2005-09-28 08:22:00.0 2005-09-28 08:22:00.0 4 4 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 21~~14~~8 189432 c1zVCHxCEz Unit CTA1_04, Section CTA1_04-3 DEC01B 1 ValidEquations 2005-09-30 08:33:46.0 2005-09-30 08:34:13.0 2005-09-30 08:34:13.0 2005-09-30 08:34:37.0 35 35 1 0 0 2 189741 c1zVCHxCEz Unit ES_02, Section ES_02-9 EG44 4 -7/3 = 3y/3 2005-10-07 08:30:00.0 2005-10-07 08:30:03.0 2005-10-07 08:30:03.0 2005-10-07 08:30:03.0 3 3 1 0 0 1 189838 c1zVCHxCEz Unit CTA1_13, Section CTA1_13-1 PROP03 1 R4C1 2005-10-07 14:01:28.0 2005-10-07 14:01:37.0 2005-10-07 14:03:13.0 2005-10-07 14:03:13.0 15 15 0 1 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 109~~16~~40 190256 c1zVCHxCEz Unit CTA1_06, Section CTA1_06-3 JAN05 1 R2C2 2005-10-19 08:50:06.0 2005-10-19 08:50:08.0 2005-10-19 08:50:08.0 2005-10-19 08:50:08.0 2 2 1 0 0 1 Identifying units 97 190774 c1zVCHxCEz Unit ES_03, Section ES_03-7 LIT10 1 a-f+f = 0+f 2005-10-28 08:38:03.0 2005-10-28 08:38:08.0 2005-10-28 08:38:08.0 2005-10-28 08:38:08.0 5 5 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 74 191102 c1zVCHxCEz Unit CTA1_08, Section CTA1_08-3 FEB08 1 R2C2 2005-11-11 08:27:59.0 2005-11-11 08:28:01.0 2005-11-11 08:28:01.0 2005-11-11 08:28:01.0 2 2 1 0 0 1 Identifying units 138 191585 c1zVCHxCEz Unit ES_04, Section ES_04-12 EG58 8 5*-6x+(-40)+8x = 4 2005-11-30 08:16:14.0 2005-11-30 08:16:33.0 2005-11-30 08:16:33.0 2005-11-30 08:16:33.0 19 19 1 0 0 1 192060 c1zVCHxCEz Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 R3C2 2005-12-14 08:46:09.0 2005-12-14 08:46:53.0 2005-12-14 08:47:37.0 2005-12-14 08:47:37.0 88 88 0 3 6 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 218~~92~~110 192288 c1zVCHxCEz Unit ES_07, Section ES_07-4 LIT63A 1 FinalAnswer 2005-12-21 08:33:24.0 2005-12-21 08:33:44.0 2005-12-21 08:33:44.0 2005-12-21 08:33:44.0 20 20 1 0 0 1 factor-sp 11 192669 c1zVCHxCEz Unit CTA1_12, Section CTA1_12-5 SYSFB24 1 R1C3 2006-01-11 08:55:05.0 2006-01-11 08:55:18.0 2006-01-11 08:55:18.0 2006-01-11 08:55:18.0 13 13 1 0 0 1 192875 c1zVCHxCEz Unit ES_05, Section ES_05-9 EG62 1 37.11y = 177.2 2006-01-25 08:31:35.0 2006-01-25 08:31:42.0 2006-01-25 08:31:42.0 2006-01-25 08:31:42.0 7 7 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 191~~391 193225 c1zVCHxCEz Unit CTA1_14, Section CTA1_14-4 TPH04 1 R2C1 2006-02-03 08:49:21.0 2006-02-03 08:49:26.0 2006-02-03 08:49:26.0 2006-02-03 08:49:26.0 5 5 1 0 0 1 Identifying units 226 193643 c1zVCHxCEz Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLT2X-5 1 Formula 1 YIntercept 2006-03-01 08:38:45.0 2006-03-01 08:38:50.0 2006-03-01 08:38:50.0 2006-03-01 08:38:50.0 5 5 1 0 0 1 Placing coordinate point 34 194140 c1zVCHxCEz Unit CTA1_15, Section CTA1_15-3 SYS10 1 R3C2 2006-03-14 10:22:06.0 2006-03-14 10:22:39.0 2006-03-14 10:22:39.0 2006-03-14 10:22:39.0 33 33 1 0 0 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 378~~133~~209 194294 c1zVCHxCEz Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE5TRE 1 R1C1 2006-03-21 10:07:55.0 2006-03-21 10:08:02.0 2006-03-21 10:08:02.0 2006-03-21 10:08:02.0 7 7 1 0 0 1 194485 c1zVCHxCEz Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR49 1 2x^2+5x+3 2006-03-24 08:47:30.0 2006-03-24 08:47:33.0 2006-03-24 08:47:33.0 2006-03-24 08:47:33.0 3 3 1 0 0 1 194781 c1zVCHxCEz Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR07 1 b-factor-node 2006-03-31 08:33:30.0 2006-03-31 08:33:32.0 2006-03-31 08:33:32.0 2006-03-31 08:33:32.0 2 2 1 0 0 1 195188 c1zVCHxCEz Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD7TRE 1 num1-factor-node 2006-05-10 08:35:54.0 2006-05-10 08:36:01.0 2006-05-10 08:36:01.0 2006-05-10 08:49:32.0 12 12 1 0 0 2 qft-num1-sp 24 195505 c1zVCHxCEz Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 2 x1R1 2006-05-17 10:11:12.0 2006-05-17 10:11:13.0 2006-05-17 10:11:13.0 2006-05-17 10:11:13.0 1 1 1 0 0 1 195663 c1zVCHxCEz Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS08 4 FinalAnswer 2006-05-24 08:27:31.0 2006-05-24 08:27:46.0 2006-05-24 08:27:46.0 2006-05-24 08:27:46.0 15 15 1 0 0 1 simplify-fractions-sp 77 195861 c1zVCHxCEz Unit CTA1_20, Section CTA1_20-2 1PTFB18 3 -26425 = -3692Z 2006-06-02 08:30:18.0 2006-06-02 08:30:27.0 2006-06-02 08:30:27.0 2006-06-02 08:30:27.0 9 9 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 543~~167 196068 f4fNYL73Z2 Unit CTA1_01, Section CTA1_01-4 REAL32A 1 R2C2 2005-09-23 08:47:45.0 2005-09-23 08:47:51.0 2005-09-23 08:47:51.0 2005-09-23 08:47:51.0 6 6 1 0 0 1 Identifying units 30 196356 f4fNYL73Z2 Unit CTA1_02, Section CTA1_02-4 BH1T29A 1 R3C2 2005-10-28 08:53:32.0 2005-10-28 08:55:05.0 2005-10-28 08:56:18.0 2005-10-28 08:56:18.0 166 166 0 3 1 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 126~~60~~6 196634 f4fNYL73Z2 Unit ES_01, Section ES_01-10 EG27 2 -3+y = 0 2005-11-23 08:33:18.0 2005-11-23 08:33:22.0 2005-11-23 08:35:17.0 2005-11-23 08:35:17.0 119 119 0 2 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 19~~9 196894 f4fNYL73Z2 Unit CTA1_04, Section CTA1_04-3 PERCENT14B 1 X+11.76470588 = 211.76470588 2006-01-06 08:50:34.0 2006-01-06 08:50:58.0 2006-01-06 08:50:58.0 24 24 0 1 0 0 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 38~~15 197149 f4fNYL73Z2 Unit ES_02, Section ES_02-7 EG41 4 -4 = x/4 2006-03-10 08:53:41.0 2006-03-10 08:53:47.0 2006-03-10 08:53:47.0 2006-03-10 08:53:47.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 44~~71 197392 f4fNYL73Z2 Unit CTA1_13, Section CTA1_13-1 PROP13 1 R2C1 2006-05-05 08:43:44.0 2006-05-05 08:43:49.0 2006-05-05 08:43:49.0 2006-05-05 08:43:49.0 5 5 1 0 0 1 Identifying units 90 197528 f4fNYL73Z2 Unit CTA1_06, Section CTA1_06-2 DEC02 1 R3C1 2006-05-26 08:32:51.0 2006-05-26 08:32:52.0 2006-05-26 08:32:52.0 2006-05-26 08:32:52.0 1 1 1 0 0 1 Define Variable 69 197738 Fx8d98DRud Unit CTA1_01, Section CTA1_01-3 L5FB03C 1 R3C2 2005-09-20 10:17:19.0 2005-09-20 10:17:50.0 2005-09-20 10:17:50.0 2005-09-20 10:17:50.0 31 31 1 0 0 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 59~~33~~6 198030 Fx8d98DRud Unit CTA1_02, Section CTA1_02-3 L3NOV10 3 xMin 2005-10-06 10:23:21.0 2005-10-06 10:23:31.0 2005-10-06 10:23:31.0 2005-10-06 10:23:31.0 10 10 1 0 0 1 Changing axis bounds 35 198627 Fx8d98DRud Unit ES_01, Section ES_01-9 EG24 2 row1-D-x 2005-11-07 10:03:11.0 2005-11-07 10:03:19.0 2005-11-07 10:03:19.0 2005-11-07 10:03:19.0 8 8 1 0 0 1 198965 Fx8d98DRud Unit CTA1_04, Section CTA1_04-4 L5FB04C 1 R7C2 2005-12-07 08:32:56.0 2005-12-07 08:33:25.0 2005-12-07 08:33:25.0 2005-12-07 08:33:25.0 29 29 1 0 0 1 Entering a given 171 199280 Fx8d98DRud Unit ES_02, Section ES_02-6 EG40 10 -9 = -9x-8 2006-01-04 08:34:34.0 2006-01-04 08:34:48.0 2006-01-04 08:35:07.0 2006-01-04 08:35:07.0 33 33 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 65~~9 199556 Fx8d98DRud Unit CTA1_13, Section CTA1_13-1 PROP01 1 R4C2 2006-01-20 08:28:24.0 2006-01-20 08:28:49.0 2006-01-20 08:28:50.0 26 26 0 0 2 0 Find Y, Simple~~Using small numbers~~Using difficult numbers 49~~160~~77 200022 Fx8d98DRud Unit CTA1_06, Section CTA1_06-3 FEB13 1 XLabel 2006-02-17 08:43:21.0 2006-02-17 08:43:43.0 2006-02-17 08:43:43.0 2006-02-17 08:43:43.0 22 22 1 0 0 1 Labelling the axes 58 200944 Fx8d98DRud Unit ES_03, Section ES_03-8 LIT10A 1 g*b/b = 1b 2006-03-28 10:25:01.0 2006-03-28 10:25:19.0 2006-03-28 10:25:24.0 2006-03-28 10:25:24.0 23 23 0 0 2 1 201265 Fx8d98DRud Unit CTA1_08, Section CTA1_08-3 JAN12 2 XLabel 2006-04-21 08:17:11.0 2006-04-21 08:17:32.0 2006-04-21 08:17:32.0 2006-04-21 08:17:32.0 21 21 1 0 0 1 Labelling the axes 124 202217 Fx8d98DRud Unit ES_04, Section ES_04-12 EG58 8 -13x/-13 = -48/-13 2006-06-02 08:35:31.0 2006-06-02 08:35:52.0 2006-06-02 08:35:52.0 2006-06-02 08:36:09.0 38 38 1 0 0 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 84 202691 jR1rpwLHNu Unit CTA1_01, Section CTA1_01-3 DEC03C 1 R4C2 2005-09-19 14:08:02.0 2005-09-19 14:08:28.0 2005-09-19 14:08:28.0 2005-09-19 14:08:28.0 26 26 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 54~~33~~10 202952 jR1rpwLHNu Unit CTA1_02, Section CTA1_02-3 L3NOV12 1 XUnit 2005-09-30 08:39:57.0 2005-09-30 08:40:02.0 2005-09-30 08:40:02.0 2005-09-30 08:40:02.0 5 5 1 0 0 1 203461 jR1rpwLHNu Unit ES_01, Section ES_01-9 EG23 1 8y = 7 2005-12-14 14:01:20.0 2005-12-14 14:01:39.0 2005-12-14 14:01:39.0 2005-12-14 14:01:39.0 19 19 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 8~~14 203730 jR1rpwLHNu Unit CTA1_04, Section CTA1_04-4 BH1T47C 1 R2C1 2006-02-03 08:35:19.0 2006-02-03 08:35:24.0 2006-02-03 08:35:32.0 2006-02-03 08:35:32.0 13 13 0 1 0 1 Identifying units 84 204043 jR1rpwLHNu Unit ES_02, Section ES_02-8 EG41 5 X/-9*-9 = 2*-9 2006-03-08 08:20:07.0 2006-03-08 08:20:33.0 2006-03-08 08:20:33.0 2006-03-08 08:21:43.0 96 96 1 1 2 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 12 204295 jR1rpwLHNu Unit CTA1_13, Section CTA1_13-1 PROP09 1 R3C2 2006-03-29 08:22:15.0 2006-03-29 08:22:27.0 2006-03-29 08:22:27.0 2006-03-29 08:22:27.0 12 12 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 140~~53~~70 204553 jR1rpwLHNu Unit CTA1_06, Section CTA1_06-2 FEB05 1 XLabel 2006-05-26 08:53:59.0 2006-05-26 08:54:04.0 2006-05-26 08:54:04.0 2006-05-26 08:54:04.0 5 5 1 0 0 1 Labelling the axes 47 204837 LM96hW22T2 Unit CTA1_01, Section CTA1_01-4 L1FB12 1 R2C2 2005-09-28 08:40:29.0 2005-09-28 08:40:30.0 2005-09-28 08:40:47.0 2005-09-28 08:40:47.0 18 18 0 1 3 1 Identifying units 36 205122 LM96hW22T2 Unit CTA1_02, Section CTA1_02-3 L3NOV12C 2 yMax 2005-10-21 08:52:35.0 2005-10-21 08:52:37.0 2005-10-21 08:56:55.0 240.002 240.002 0 21 11 0 Changing axis bounds 27 205813 LM96hW22T2 Unit ES_01, Section ES_01-9 EG25 3 row1-N-constant factors 2005-11-18 08:41:31.0 2005-11-18 08:41:34.0 2005-11-18 08:41:34.0 2005-11-18 08:41:34.0 3 3 1 0 0 1 206257 LM96hW22T2 Unit CTA1_04, Section CTA1_04-3 PERCENT14A 1 R1C1 2005-12-07 08:48:56.0 2005-12-07 08:48:59.0 2005-12-07 08:49:08.0 2005-12-07 08:49:08.0 12 12 0 0 2 1 207499 LM96hW22T2 Unit ES_02, Section ES_02-10 EG44 13 row1-D-constant factors 2006-01-25 08:42:55.0 2006-01-25 08:42:56.0 2006-01-25 08:43:00.0 2006-01-25 08:43:00.0 2 2 0 1 0 1 207638 LM96hW22T2 Unit CTA1_13, Section CTA1_13-1 PROP09 1 R3C2 2006-01-27 08:34:52.0 2006-01-27 08:34:54.0 2006-01-27 08:35:01.0 2006-01-27 08:35:01.0 9 9 0 0 2 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 153~~56~~70 208149 LM96hW22T2 Unit CTA1_06, Section CTA1_06-3 FOR05 1 R4C1 2006-02-08 08:42:22.0 2006-02-08 08:42:25.0 2006-02-08 08:42:25.0 2006-02-08 08:42:25.0 3 3 1 0 0 1 Entering a given 270 209167 LM96hW22T2 Unit ES_03, Section ES_03-8 LIT18A 2 row2constant factors 2006-03-03 08:19:13.0 2006-03-03 08:19:16.0 2006-03-03 08:20:21.0 2006-03-03 08:20:21.0 8 8 0 1 1 1 209525 LM96hW22T2 Unit CTA1_08, Section CTA1_08-3 REAL37 1 R3C1 2006-03-07 11:46:09.0 2006-03-07 11:46:12.0 2006-03-07 11:46:12.0 2006-03-07 11:46:12.0 3 3 1 0 0 1 Define Variable 120 210387 LM96hW22T2 Unit ES_04, Section ES_04-10 EG57A 11 7x+28-28 = -324 2006-03-22 08:38:52.0 2006-03-22 08:38:55.0 2006-03-22 08:38:55.0 2006-03-22 08:38:55.0 3 3 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 313 211507 LM96hW22T2 Unit CTA1_10, Section CTA1_10-6 DISTFB11_SP 1 1470+7(M-30) = 4300 2006-05-10 08:35:10.0 2006-05-10 08:35:11.0 2006-05-10 08:35:19.0 2006-05-10 08:52:08.0 35 35 0 0 6 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 417 212173 LM96hW22T2 Unit ES_07, Section ES_07-4 LIT68A 1 6h-2j = c*g+8z 2006-05-26 08:30:06.0 2006-05-26 08:30:07.0 2006-05-26 08:30:16.0 2006-05-26 08:30:16.0 10 10 0 0 3 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 449 212860 oEt3YTvS4G Unit CTA1_01, Section CTA1_01-4 JAN13A 1 R4C2 2005-09-23 08:40:50.0 2005-09-23 08:41:14.0 2005-09-23 08:41:14.0 2005-09-23 08:41:14.0 24 24 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 55~~28~~14 213110 oEt3YTvS4G Unit CTA1_02, Section CTA1_02-4 L2FB14B 1 YLabel 2005-10-26 08:48:12.0 2005-10-26 08:48:42.0 2005-10-26 08:48:42.0 2005-10-26 08:48:42.0 30 30 1 0 0 1 Labelling the axes 21 213257 oEt3YTvS4G Unit ES_01, Section ES_01-7 EG22 2 x-8+8 = 3+8 2005-11-02 08:48:10.0 2005-11-02 08:48:20.0 2005-11-02 08:48:20.0 2005-11-02 08:48:28.0 18 18 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 3 213493 oEt3YTvS4G Unit CTA1_04, Section CTA1_04-4 L5FB04C 2 R6C1 2005-12-16 08:29:59.0 2005-12-16 08:30:04.0 2005-12-16 08:30:04.0 2005-12-16 08:30:04.0 5 5 1 0 0 1 Using small numbers~~Find X, negative slope~~Using difficult numbers 94~~5~~23 213620 oEt3YTvS4G Unit ES_02, Section ES_02-6 EG40 2 -5 = -10+9y 2006-01-06 08:29:39.0 2006-01-06 08:30:14.0 2006-01-06 08:30:14.0 2006-01-06 08:30:14.0 35 35 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 32~~4 213773 oEt3YTvS4G Unit CTA1_13, Section CTA1_13-1 PROP12 1 R4C1 2006-01-27 08:46:55.0 2006-01-27 08:47:02.0 2006-01-27 08:47:02.0 2006-01-27 08:47:02.0 7 7 1 0 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 111~~16~~37 214102 oEt3YTvS4G Unit CTA1_06, Section CTA1_06-3 BH1T44 1 xScale 2006-03-01 08:47:44.0 2006-03-01 08:47:56.0 2006-03-01 08:47:56.0 2006-03-01 08:48:52.0 36 36 1 0 0 3 Changing axis intervals 35 214493 oEt3YTvS4G Unit ES_03, Section ES_03-7 LIT11 1 2-m = s 2006-04-07 13:58:53.0 2006-04-07 14:00:04.0 2006-04-07 14:00:04.0 2006-04-07 14:00:04.0 71 71 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 97 214624 oEt3YTvS4G Unit CTA1_08, Section CTA1_08-2 DEMO_8 1 R2C2 2006-05-05 08:47:20.0 2006-05-05 08:47:24.0 2006-05-05 08:47:24.0 2006-05-05 08:47:24.0 4 4 1 0 0 1 Identifying units 108 214797 oEt3YTvS4G Unit ES_04, Section ES_04-10 EG57 1 (8x-1)/2*2 = 9*2 2006-05-19 08:38:20.0 2006-05-19 08:40:43.0 2006-05-19 08:40:43.0 2006-05-19 08:41:20.0 180 180 1 0 0 2 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] 9 214848 oEt3YTvS4G Unit CTA1_12, Section CTA1_12-1 LDEMO_SYS 1 R3C1 2006-06-02 08:38:26.0 2006-06-02 08:39:31.0 2006-06-02 08:39:31.0 2006-06-02 08:39:31.0 65 65 1 0 0 1 Define Variable 85 214915 q9Pk62y29S Unit CTA1_06, Section CTA1_06-2 L5FB16 7 -1525(-1525/37+X)/37 = 3900950/1369 2006-02-22 08:48:37.0 2006-02-22 08:48:38.0 2006-02-22 08:48:56.0 2006-02-22 08:48:56.0 7.5 7.5 0 0 5 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] 1~~9~~1 215076 q9Pk62y29S Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-3X-7YLE14 1 XCoordinate1_2 2006-04-26 08:37:39.0 2006-04-26 08:37:41.0 2006-04-26 08:37:41.0 2006-04-26 08:37:41.0 0.667 0.667 1 0 0 1 Positive Constants, SIF~~Negative Constant, GLF 34~~2 215344 t0fI2c7EMH Unit CTA1_02, Section CTA1_02-4 REAL19B 1 R3C1 2005-11-02 06:33:56.0 2005-11-02 06:34:04.0 2005-11-02 06:34:04.0 2005-11-02 06:34:04.0 8 8 1 0 0 1 Define Variable 8 215467 t0fI2c7EMH Unit ES_01, Section ES_01-5 EG15 1 (7-1.6)*4 = y 2005-11-07 11:39:21.0 2005-11-07 11:39:25.0 2005-11-07 11:39:25.0 2005-11-07 11:39:25.0 4 4 1 0 0 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 16 215643 t0fI2c7EMH Unit CTA1_04, Section CTA1_04-4 L5FB04B 1 R3C2 2005-11-08 09:10:56.0 2005-11-08 09:11:07.0 2005-11-08 09:11:07.0 2005-11-08 09:11:07.0 11 11 1 0 0 1 Using small numbers~~Write expression, negative slope~~Using difficult numbers 55~~5~~22 215764 t0fI2c7EMH Unit ES_02, Section ES_02-10 EG44 2 1x = 2/x*x 2005-11-18 07:43:36.0 2005-11-18 07:43:39.0 2005-11-18 07:43:49.0 2005-11-18 07:44:01.0 25 25 0 2 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 11 215908 t0fI2c7EMH Unit CTA1_04, Section CTA1_04-4 BH1T47C 1 R1C2 2006-01-18 04:25:37.0 2006-01-18 04:25:45.0 2006-01-18 04:25:45.0 2006-01-18 04:25:45.0 8 8 1 0 0 1 216076 t0fI2c7EMH Unit ES_02, Section ES_02-8 EG41 4 -14*-7 = x/-7*-7 2006-01-18 06:25:48.0 2006-01-18 06:25:52.0 2006-01-18 06:25:52.0 2006-01-18 06:25:59.0 11 11 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 17 216136 t0fI2c7EMH Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE1TRE 1 R8C2 2006-03-17 06:37:48.0 2006-03-17 06:37:58.0 2006-03-17 06:38:25.0 2006-03-17 06:38:25.0 29.333 29.333 0 6 0 1 Entering a computed linear value 7 216255 XJyS25Yg27 Unit CTA1_01, Section CTA1_01-3 BH1T33B 2 R5C2 2005-09-16 08:17:57.0 2005-09-16 08:18:50.0 2005-09-16 08:18:50.0 2005-09-16 08:18:50.0 53 53 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 38~~20~~4 216479 XJyS25Yg27 Unit CTA1_02, Section CTA1_02-3 BH1T39B 1 R5C2 2005-09-23 08:32:55.0 2005-09-23 08:33:06.0 2005-09-23 08:33:06.0 2005-09-23 08:33:06.0 11 11 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope 100~~61~~30 216721 XJyS25Yg27 Unit ES_01, Section ES_01-6 EG21 4 -4-9 = x+9-9 2005-09-30 08:19:13.0 2005-09-30 08:19:18.0 2005-09-30 08:19:18.0 2005-09-30 08:19:18.0 5 5 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 23 216992 XJyS25Yg27 Unit CTA1_04, Section CTA1_04-4 L5FB04A 1 -1.5S = 33 2005-10-14 08:54:23.0 2005-10-14 08:54:30.0 2005-10-14 08:54:30.0 2005-10-14 08:54:30.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 44~~14 217199 XJyS25Yg27 Unit ES_02, Section ES_02-9 EG44 2 4y/4 = -5/4 2005-10-26 08:17:51.0 2005-10-26 08:17:54.0 2005-10-26 08:17:54.0 2005-10-26 08:17:54.0 3 3 1 0 0 1 217317 XJyS25Yg27 Unit CTA1_13, Section CTA1_13-1 PROP03 1 A/5 = 150 2005-10-26 08:41:04.0 2005-10-26 08:41:08.0 2005-10-26 08:41:08.0 2005-10-26 08:41:08.0 4 4 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 46~~76 217692 XJyS25Yg27 Unit CTA1_06, Section CTA1_06-3 FOR05 1 xScale 2005-11-16 08:54:12.0 2005-11-16 08:54:14.0 2005-11-16 08:54:14.0 2005-11-16 08:54:14.0 2 2 1 0 0 1 Changing axis intervals 34 218154 XJyS25Yg27 Unit ES_03, Section ES_03-6 EG52 1 FinalAnswer 2005-12-21 08:37:33.0 2005-12-21 08:37:49.0 2005-12-21 08:37:49.0 2005-12-21 08:37:49.0 16 16 1 0 0 1 combine-like-terms-sp 39 218477 XJyS25Yg27 Unit CTA1_08, Section CTA1_08-3 BH1T07 1 YLabel 2006-01-27 08:32:04.0 2006-01-27 08:32:14.0 2006-01-27 08:32:14.0 2006-01-27 08:32:14.0 10 10 1 0 0 1 Labelling the axes 117 218943 XJyS25Yg27 Unit ES_04, Section ES_04-13 LIT34 1 u/8 = 8q/8 2006-02-15 08:49:09.0 2006-02-15 08:49:12.0 2006-02-15 08:49:12.0 2006-02-15 08:49:12.0 3 3 1 0 0 1 219270 XJyS25Yg27 Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 R6C2 2006-03-01 08:36:59.0 2006-03-01 08:37:13.0 2006-03-01 08:37:13.0 2006-03-01 08:37:13.0 14 14 1 0 0 1 Entering a given 339 219591 XJyS25Yg27 Unit ES_07, Section ES_07-6 LIT76A 1 z*8z+z*-3 = q+s 2006-03-09 08:25:48.0 2006-03-09 08:30:38.0 2006-03-09 08:30:38.0 2006-03-09 08:30:38.0 290 290 1 0 0 1 220011 XJyS25Yg27 Unit CTA1_12, Section CTA1_12-6 SYSFB03 1 R5C2 2006-03-24 08:53:14.0 2006-03-24 08:53:19.0 2006-03-24 08:53:53.0 2006-03-24 08:53:53.0 16 16 0 2 0 1 Entering a given 396 220249 XJyS25Yg27 Unit ES_05, Section ES_05-10 EG62 2 -3.31y-95.46 = -46.15-5.29y 2006-03-30 09:07:20.0 2006-03-30 09:07:33.0 2006-03-30 09:07:33.0 2006-03-30 09:07:33.0 13 13 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 56 220662 XJyS25Yg27 Unit CTA1_14, Section CTA1_14-4 2PTFB16 1 R1C1 2006-05-05 08:45:04.0 2006-05-05 08:46:17.0 2006-05-05 08:46:17.0 2006-05-05 08:46:17.0 73 73 1 0 0 1 221015 XJyS25Yg27 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-3X-YLT6 1 Formula 1 Coeff 0 2006-05-15 09:31:31.0 2006-05-15 09:31:39.0 2006-05-15 09:31:39.0 2006-05-15 09:31:39.0 8 8 1 0 0 1 Placing coordinate point 29 221406 XJyS25Yg27 Unit CTA1_15, Section CTA1_15-3 SYSFB06 1 Intersection 1 X 2006-05-26 08:45:19.0 2006-05-26 08:45:32.0 2006-05-26 08:45:32.0 2006-05-26 08:45:32.0 13 13 1 0 0 1 Labelling point of intersection 47 221559 XJyS25Yg27 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE7TRE 1 R9C2 2006-06-02 08:47:53.0 2006-06-02 08:47:58.0 2006-06-02 08:47:58.0 2006-06-02 08:49:32.0 5 5 1 0 0 2 Entering a given~~Entering a given quadratic value 562~~10 221674 XJyS25Yg27 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR10 1 a-factor-1 2006-06-07 08:53:43.0 2006-06-07 08:53:47.0 2006-06-07 08:53:47.0 2006-06-07 08:55:14.0 10 10 1 0 0 3 221803 jbw83hRJZQ Unit CTA1_01, Section CTA1_01-3 REAL20A 2 R4C1 2006-05-01 11:19:20.0 2006-05-01 11:19:25.0 2006-05-01 11:19:34.0 2006-05-01 11:19:34.0 14 14 0 1 0 1 Entering a given 29 221953 13yR9KFHCI Unit CTA1_01, Section CTA1_01-4 REAL32A 1 R2C1 2006-04-11 15:10:12.0 2006-04-11 15:10:18.0 2006-04-11 15:10:18.0 2006-04-11 15:10:18.0 6 6 1 0 0 1 Identifying units 20 222077 13yR9KFHCI Unit CTA1_02, Section CTA1_02-2 NOV04B 1 xMin 2006-04-24 15:37:32.0 2006-04-24 15:37:43.0 2006-04-24 15:37:43.0 2006-04-24 15:37:48.0 16 16 1 0 0 2 Changing axis bounds 16 222225 1z5YH40155 Unit CTA1_01, Section CTA1_01-3 REAL20B 1 R2C1 2006-04-27 14:57:35.0 2006-04-27 14:57:48.0 2006-04-27 14:57:48.0 2006-04-27 14:57:48.0 13 13 1 0 0 1 Identifying units 19 222331 23T7Up1oQ6 Unit CTA1_01, Section CTA1_01-3 BH1T30C 1 R1C1 2006-04-10 15:25:25.0 2006-04-10 15:25:51.0 2006-04-10 15:25:51.0 2006-04-10 15:25:51.0 26 26 1 0 0 1 222376 LIXD5c0lE5 Unit CTA1_01, Section CTA1_01-1 LDEMO_WKST 1 R6C2 2006-05-17 15:20:32.0 2006-05-17 15:21:13.0 2006-05-17 15:21:13.0 2006-05-17 15:21:13.0 41 41 1 0 0 1 Find Y, Simple~~Using simple numbers~~Using small numbers 3~~3~~3 222561 olyVui8lHe Unit CTA1_01, Section CTA1_01-4 REAL32A 1 R2C1 2006-06-02 13:31:39.0 2006-06-02 13:31:41.0 2006-06-02 13:31:41.0 2006-06-02 13:31:41.0 2 2 1 0 0 1 Identifying units 26 222588 olyVui8lHe Unit CTA1_02, Section CTA1_02-1 LDEMO_GRPH 1 R5C2 2006-06-02 13:59:12.0 2006-06-02 13:59:16.0 2006-06-02 13:59:16.0 2006-06-02 13:59:16.0 4 4 1 0 0 1 Find Y, Simple~~Using simple numbers~~Using small numbers 25~~68~~44 222746 SKThcG9N8q Unit CTA1_01, Section CTA1_01-4 REAL32B 1 R3C2 2006-05-03 15:00:32.0 2006-05-03 15:00:46.0 2006-05-03 15:00:46.0 2006-05-03 15:00:46.0 14 14 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 52~~27~~12 222782 SKThcG9N8q Unit CTA1_02, Section CTA1_02-1 LDEMO_GRPH 1 XLabel 2006-05-03 15:23:14.0 2006-05-03 15:23:21.0 2006-05-03 15:23:21.0 2006-05-03 15:23:21.0 7 7 1 0 0 1 Labelling the axes 2 222862 VgP99sQ5jS Unit CTA1_01, Section CTA1_01-3 BH1T28A 1 R3C1 2006-04-11 14:58:15.0 2006-04-11 14:58:22.0 2006-04-11 14:58:22.0 2006-04-11 14:58:22.0 7 7 1 0 0 1 Define Variable 7 222970 xa6ovLs5IM Unit CTA1_01, Section CTA1_01-2 BH1T08C 2 R4C1 2006-04-24 14:56:56.0 2006-04-24 14:57:06.0 2006-04-24 14:57:06.0 2006-04-24 14:57:06.0 10 10 1 0 0 1 Entering a given 18 223235 075kbY53c1 Unit CTA1_01, Section CTA1_01-3 L3NOV07C 2 R3C2 2005-09-16 12:34:27.0 2005-09-16 12:36:11.0 2005-09-16 12:36:11.0 104 104 0 1 0 0 Using simple numbers~~Using large numbers~~Write expression, negative slope 69~~41~~4 223521 075kbY53c1 Unit CTA1_02, Section CTA1_02-4 BH1T29B 1 YLabel 2005-10-07 10:19:15.0 2005-10-07 10:19:25.0 2005-10-07 10:20:06.0 2005-10-07 10:20:06.0 51 51 0 1 0 1 Labelling the axes 21 223914 075kbY53c1 Unit ES_01, Section ES_01-10 EG27 8 -y*-1 = 1*-1 2005-10-24 09:42:01.0 2005-10-24 09:42:08.0 2005-10-24 09:42:08.0 2005-10-24 09:42:08.0 7 7 1 0 0 1 224085 075kbY53c1 Unit CTA1_04, Section CTA1_04-2 BH1T32A 1 R4C1 2005-10-31 10:08:45.0 2005-10-31 10:08:59.0 2005-10-31 10:08:59.0 2005-10-31 10:08:59.0 14 14 1 0 0 1 Entering a given 169 224518 075kbY53c1 Unit ES_02, Section ES_02-6 EG40 16 1/-6 = (-3-6y+3)/-6 2005-11-18 10:01:25.0 2005-11-18 10:01:34.0 2005-11-18 10:01:34.0 2005-11-18 10:05:46.0 261 261 1 12 2 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 21 224839 075kbY53c1 Unit CTA1_13, Section CTA1_13-1 PROP01 1 2X = 3000 2005-12-05 10:13:17.0 2005-12-05 10:13:27.0 2005-12-05 10:13:27.0 2005-12-05 10:13:27.0 10 10 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 55~~134 225449 075kbY53c1 Unit CTA1_06, Section CTA1_06-4 BH1T48 2 R4C1 2006-01-20 12:07:38.0 2006-01-20 12:07:51.0 2006-01-20 12:07:51.0 2006-01-20 12:07:51.0 13 13 1 0 0 1 Using simple numbers~~Using small numbers~~Find X, negative slope 229~~238~~16 226208 075kbY53c1 Unit ES_03, Section ES_03-8 LIT6A 1 -s = g 2006-02-17 10:14:10.0 2006-02-17 10:14:21.0 2006-02-17 10:14:21.0 2006-02-17 10:14:21.0 11 11 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 265~~105~~23 226408 075kbY53c1 Unit CTA1_08, Section CTA1_08-2 FEB09 1 Slope Field 1 2006-02-24 09:59:39.0 2006-02-24 09:59:42.0 2006-02-24 09:59:48.0 2006-02-24 09:59:48.0 9 9 0 1 0 1 Entering the slope 12 227104 075kbY53c1 Unit ES_04, Section ES_04-13 LIT28 2 h = z*b-2b 2006-03-07 14:37:40.0 2006-03-07 14:37:45.0 2006-03-07 14:38:45.0 2006-03-07 14:38:45.0 65 65 0 2 3 1 [SkillRule: Extract to consolidate vars; {factor; factorb; factorc; factord}] 1 227621 075kbY53c1 Unit CTA1_10, Section CTA1_10-5 DIST05_SP 1 R3C2 2006-03-15 15:09:25.0 2006-03-15 15:12:56.0 2006-03-15 15:12:56.0 2006-03-15 15:12:56.0 211 211 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 322~~117~~188 228143 075kbY53c1 Unit ES_07, Section ES_07-6 LIT71 2 2a = b*h/2*2 2006-03-24 09:37:20.0 2006-03-24 09:37:24.0 2006-03-24 09:37:28.0 2006-03-24 09:37:28.0 8 8 0 1 0 1 228785 075kbY53c1 Unit CTA1_12, Section CTA1_12-6 SYS01 1 R1C1 2006-03-31 10:21:51.0 2006-03-31 10:22:20.0 2006-03-31 10:22:20.0 2006-03-31 10:22:20.0 29 29 1 0 0 1 229155 075kbY53c1 Unit ES_05, Section ES_05-9 EG62A 6 -9332.61 = -23.21y-303.43 2006-04-10 08:43:44.0 2006-04-10 08:44:00.0 2006-04-10 08:44:00.0 2006-04-10 08:44:00.0 16 16 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 479~~109 229620 075kbY53c1 Unit CTA1_14, Section CTA1_14-4 TPH15 1 -4000R/3 = -22000 2006-04-28 09:22:32.0 2006-04-28 09:22:36.0 2006-04-28 09:22:36.0 2006-04-28 09:22:36.0 4 4 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 635~~188 230056 075kbY53c1 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLEX+7 1 -7 = x 2006-05-15 09:06:58.0 2006-05-15 09:07:04.0 2006-05-15 09:07:06.0 8 8 0 1 1 0 230294 075kbY53c1 Unit CTA1_15, Section CTA1_15-2 SYS05 1 R3C2 2006-05-26 10:05:13.0 2006-05-26 10:05:46.0 2006-05-26 10:06:11.0 2006-05-26 10:06:11.0 58 58 0 1 0 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 464~~157~~260 230561 5cuKF3lL4D Unit CTA1_01, Section CTA1_01-4 REAL32C 1 R2C2 2005-09-30 09:13:50.0 2005-09-30 09:14:17.0 2005-09-30 09:21:08.0 49 49 0 3 1 0 Identifying units 35 230601 5cuKF3lL4D Unit CTA1_02, Section CTA1_02-1 LDEMO_GRPH 1 R5C1 2005-10-04 09:14:11.0 2005-10-04 09:14:19.0 2005-10-04 09:18:58.0 138 138 0 5 1 0 Entering a given 66 230605 5cuKF3lL4D Unit CTA1_01, Section CTA1_01-4 JAN13C 2 R5C2 2005-10-04 10:04:22.0 2005-10-04 10:04:49.0 2005-10-04 10:04:49.0 2005-10-04 10:04:49.0 27 27 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 100~~60~~24 230727 5cuKF3lL4D Unit CTA1_02, Section CTA1_02-2 NEWS01A 1 R5C1 2005-10-11 15:16:01.0 2005-10-11 15:16:17.0 2005-10-11 15:17:10.0 2005-10-11 15:17:10.0 69 69 0 4 1 1 Entering a given~~Convert unit, mixed 91~~1 230938 8eqtD31y66 Unit CTA1_01, Section CTA1_01-3 BH1T27C 1 R3C1 2006-04-21 09:03:04.0 2006-04-21 09:03:06.0 2006-04-21 09:03:06.0 2006-04-21 09:03:06.0 2 2 1 0 0 1 Define Variable 13 231270 8eqtD31y66 Unit CTA1_02, Section CTA1_02-3 L3NOV12B 1 R5C1 2006-05-08 08:56:00.0 2006-05-08 08:56:05.0 2006-05-08 08:56:05.0 2006-05-08 08:56:05.0 5 5 1 0 0 1 Entering a given~~Convert unit, standard 99~~14 231535 8eqtD31y66 Unit ES_01, Section ES_01-5 EG14A 1 -44.8+29*49 = y 2006-05-15 10:17:05.0 2006-05-15 10:17:14.0 2006-05-15 10:18:00.0 2006-05-15 10:18:00.0 55 55 0 4 0 1 [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] 33 231683 938jD6Z338 Unit CTA1_01, Section CTA1_01-2 BH1T24B 1 R5C1 2006-01-03 10:09:10.0 2006-01-03 10:09:46.0 2006-01-03 10:09:46.0 2006-01-03 10:09:46.0 36 36 1 0 0 1 Entering a given 10 231825 c3Ee3W8hyq Unit CTA1_01, Section CTA1_01-3 REAL20A 1 R4C2 2005-09-07 14:11:52.0 2005-09-07 14:11:57.0 2005-09-07 14:15:17.0 2005-09-07 14:15:17.0 205 205 0 4 4 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 40~~18~~5 232144 c3Ee3W8hyq Unit CTA1_02, Section CTA1_02-3 L3NOV10C 1 yScale 2005-09-16 09:10:03.0 2005-09-16 09:10:13.0 2005-09-16 09:10:13.0 2005-09-16 09:10:13.0 10 10 1 0 0 2 Changing axis intervals 20 232428 c3Ee3W8hyq Unit ES_01, Section ES_01-8 EG24 1 1/7 = -7x/-7 2005-09-26 13:57:24.0 2005-09-26 13:57:28.0 2005-09-26 13:57:32.0 2005-09-26 13:57:32.0 8 8 0 1 0 1 232680 c3Ee3W8hyq Unit CTA1_04, Section CTA1_04-2 BH1T32 3 R3C2 2005-10-05 08:55:53.0 2005-10-05 08:55:53.0 2005-10-05 08:55:53.0 1 0 0 1 Write expression, positive slope~~Using large numbers~~Using difficult numbers 39~~81~~35 233089 c3Ee3W8hyq Unit ES_02, Section ES_02-10 EG44 4 -9y = 9 2005-10-19 13:50:01.0 2005-10-19 13:50:10.0 2005-10-19 13:50:10.0 2005-10-19 13:50:10.0 9 9 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 106~~34 233204 c3Ee3W8hyq Unit CTA1_13, Section CTA1_13-1 PROP02 1 R5C1 2005-10-20 08:53:47.0 2005-10-20 08:53:51.0 2005-10-20 08:55:09.0 2005-10-20 08:55:09.0 9 9 0 1 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 143~~30~~76 233906 c3Ee3W8hyq Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 R2C1 2005-11-21 10:05:25.0 2005-11-21 10:05:31.0 2005-11-21 10:05:31.0 2005-11-21 10:05:31.0 6 6 1 0 0 1 Identifying units 129 234253 c3Ee3W8hyq Unit ES_03, Section ES_03-6 EG53A 1 3.4/39.1 = 39.1x/39.1 2005-12-20 10:06:01.0 2005-12-20 10:06:05.0 2005-12-20 10:06:05.0 2005-12-20 10:06:57.0 56 56 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 39 234487 c3Ee3W8hyq Unit CTA1_08, Section CTA1_08-2 FEB02 1 Formula 1 Coeff 1 2006-01-27 10:10:10.0 2006-01-27 10:10:15.0 2006-01-27 10:10:21.0 2006-01-27 10:10:21.0 11 11 0 1 0 1 Setting the slope 12 235088 c3Ee3W8hyq Unit ES_04, Section ES_04-15 LIT55 1 (y-3) = m*(x-7) 2006-03-14 14:55:19.0 2006-03-14 14:55:35.0 2006-03-14 14:55:56.0 2006-03-14 14:55:56.0 37 37 0 1 3 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] 318~~13 235373 c3Ee3W8hyq Unit CTA1_10, Section CTA1_10-6 DISTFB13_SP 1 R3C1 2006-03-22 15:05:56.0 2006-03-22 15:06:33.0 2006-03-22 15:06:33.0 2006-03-22 15:06:33.0 37 37 1 0 0 1 Define Variable 126 235536 c3Ee3W8hyq Unit ES_07, Section ES_07-4 LIT68A 1 6h = c*g+8z+2j 2006-03-28 14:44:24.0 2006-03-28 14:44:34.0 2006-03-28 14:44:40.0 2006-03-28 14:44:40.0 16 16 0 1 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 359 235939 c3Ee3W8hyq Unit CTA1_12, Section CTA1_12-5 SYSFB25 2 Intersection 1 X 2006-05-26 09:44:46.0 2006-05-26 09:46:47.0 2006-05-26 09:46:47.0 2006-05-26 09:46:47.0 121 121 1 0 0 1 Labelling point of intersection 23 236131 c8Gl35DPn4 Unit CTA1_01, Section CTA1_01-3 REAL20B 1 R3C2 2006-03-03 09:39:56.0 2006-03-03 09:41:12.0 2006-03-03 09:41:37.0 2006-03-03 09:41:37.0 101 101 0 0 4 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 56~~31~~3 236473 c8Gl35DPn4 Unit CTA1_02, Section CTA1_02-4 REAL19 1 R3C2 2006-03-10 10:08:00.0 2006-03-10 10:08:14.0 2006-03-10 10:08:14.0 2006-03-10 10:08:14.0 14 14 1 0 0 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 147~~68~~7 236627 c8Gl35DPn4 Unit ES_01, Section ES_01-5 EG13A 1 712.5+25 = y 2006-03-13 09:56:12.0 2006-03-13 09:56:14.0 2006-03-13 09:56:14.0 2006-03-13 09:56:14.0 2 2 1 0 0 1 [SkillRule: Select Combine Terms; CLT]~~[SkillRule: Consolidate vars, no coeff; CLT] 13~~13 236855 c8Gl35DPn4 Unit CTA1_04, Section CTA1_04-3 DEC01C 2 ValidEquations 2006-03-20 10:16:44.0 2006-03-20 10:16:58.0 2006-03-20 10:16:58.0 2006-03-20 10:17:21.0 22 22 1 0 0 3 237087 EV28POlwE4 Unit CTA1_01, Section CTA1_01-3 L5FB03B 2 R3C2 2005-09-23 08:46:23.0 2005-09-23 08:50:41.0 2005-09-23 08:57:39.0 2005-09-23 08:57:39.0 676 676 0 3 1 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 56~~30~~5 237296 EV28POlwE4 Unit CTA1_02, Section CTA1_02-2 NEWS01C 3 XLabel 2005-10-11 11:44:32.0 2005-10-11 11:44:37.0 2005-10-11 11:44:37.0 2005-10-11 11:44:37.0 5 5 1 0 0 1 Labelling the axes 13 237567 EV28POlwE4 Unit ES_01, Section ES_01-8 EG24 2 -8y/-8 = -1/-8 2005-10-17 08:53:44.0 2005-10-17 08:53:50.0 2005-10-17 08:53:50.0 2005-10-17 08:53:50.0 6 6 1 0 0 1 237830 EV28POlwE4 Unit CTA1_04, Section CTA1_04-4 BH1T47B 1 R3C2 2005-10-25 09:27:40.0 2005-10-25 09:28:09.0 2005-10-25 09:28:30.0 2005-10-25 09:28:30.0 50 50 0 1 4 1 Using simple numbers~~Using small numbers~~Write expression, negative slope 143~~112~~8 238081 EV28POlwE4 Unit ES_02, Section ES_02-10 EG44 3 row3-D-x 2005-11-03 10:01:57.0 2005-11-03 10:01:58.0 2005-11-03 10:01:58.0 2005-11-03 10:01:58.0 1 1 1 0 0 1 238337 EV28POlwE4 Unit CTA1_13, Section CTA1_13-1 PROP06 1 R4C1 2006-01-06 10:07:28.0 2006-01-06 10:07:46.0 2006-01-06 10:09:26.0 2006-01-06 10:09:26.0 39 39 0 2 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 140~~26~~60 239052 EV28POlwE4 Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 -1.25+0.15C = -1.25 2006-03-06 10:14:15.0 2006-03-06 10:14:26.0 2006-03-06 10:14:26.0 2006-03-06 10:14:26.0 11 11 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 102~~30 239389 EV28POlwE4 Unit ES_03, Section ES_03-8 LIT9A 1 3+k-3 = y-3 2006-03-08 14:13:40.0 2006-03-08 14:13:44.0 2006-03-08 14:13:44.0 2006-03-08 14:13:49.0 9 9 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 23 239538 EV28POlwE4 Unit CTA1_08, Section CTA1_08-2 BH1T04 2 yMin 2006-03-08 15:06:49.0 2006-03-08 15:07:24.0 2006-03-08 15:07:24.0 2006-03-08 15:07:24.0 35 35 1 0 0 1 Changing axis bounds 142 240126 EV28POlwE4 Unit ES_04, Section ES_04-13 LIT27 1 6q/6 = (90-f)/6 2006-03-22 09:57:27.0 2006-03-22 09:57:31.0 2006-03-22 09:57:31.0 2006-03-22 09:57:31.0 4 4 1 0 0 1 240478 EV28POlwE4 Unit CTA1_10, Section CTA1_10-6 DISTFB11_SP 1 R1C1 2006-03-29 14:52:42.0 2006-03-29 14:53:47.0 2006-03-29 14:54:14.0 2006-03-29 14:54:14.0 92 92 0 1 0 1 240637 EV28POlwE4 Unit ES_07, Section ES_07-4 LIT62A 1 c*j+s*u-c*j = n*q-w*u-c*j 2006-04-04 14:55:57.0 2006-04-04 14:56:09.0 2006-04-04 14:56:09.0 2006-04-04 14:57:14.0 77 77 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 90 240685 EV28POlwE4 Unit CTA1_12, Section CTA1_12-1 LDEMO_SYS 1 R2C2 2006-04-06 09:58:36.0 2006-04-06 09:58:43.0 2006-04-06 09:58:43.0 2006-04-06 09:58:43.0 7 7 1 0 0 1 Identifying units 166 240688 EV28POlwE4 Unit ES_07, Section ES_07-3 LIT62 4 t+b*h/(r+v) = m*n/(r+v) 2006-04-06 09:59:23.0 2006-04-06 09:59:57.0 2006-04-06 09:59:57.0 34 34 0 0 1 0 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 302 240891 EV28POlwE4 Unit CTA1_12, Section CTA1_12-3 SYSFB02 2 xScale 2006-04-19 14:52:28.0 2006-04-19 14:52:34.0 2006-04-19 14:52:34.0 2006-04-19 14:52:34.0 6 6 1 0 0 1 Changing axis intervals 95 241384 EV28POlwE4 Unit ES_05, Section ES_05-10 EG62 1 xR2 2006-05-08 08:50:24.0 2006-05-08 08:50:34.0 2006-05-08 08:50:34.0 2006-05-08 08:50:34.0 10 10 1 0 0 1 241574 EV28POlwE4 Unit CTA1_14, Section CTA1_14-2 1PTFB14 1 -150-6C = -250 2006-05-19 09:53:58.0 2006-05-19 09:54:16.0 2006-05-19 09:54:33.0 2006-05-19 09:54:33.0 35 35 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 379~~92 241775 h0UbH181l8 Unit CTA1_01, Section CTA1_01-3 REAL20C 1 R4C1 2005-09-12 08:51:10.0 2005-09-12 08:51:20.0 2005-09-12 08:51:20.0 2005-09-12 08:51:20.0 10 10 1 0 0 1 Entering a given 29 242063 h0UbH181l8 Unit CTA1_02, Section CTA1_02-3 BH1T39 1 R3C1 2005-10-07 09:05:49.0 2005-10-07 09:05:57.0 2005-10-07 09:05:57.0 2005-10-07 09:05:57.0 8 8 1 0 0 1 Define Variable 29 242452 h0UbH181l8 Unit ES_01, Section ES_01-10 EG27 4 -x*-1 = -3*-1 2005-10-24 09:08:55.0 2005-10-24 09:09:14.0 2005-10-24 09:09:14.0 2005-10-24 09:09:14.0 19 19 1 0 0 1 242653 h0UbH181l8 Unit CTA1_04, Section CTA1_04-2 PERCENT03B 1 R3C2 2005-12-05 10:01:55.0 2005-12-05 10:02:08.0 2005-12-05 10:02:08.0 2005-12-05 10:02:08.0 13 13 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 120~~43~~45 243002 h0UbH181l8 Unit ES_02, Section ES_02-10 EG44 1 FinalAnswer 2006-01-03 09:49:22.0 2006-01-03 09:49:33.0 2006-01-03 09:50:14.0 2006-01-03 10:02:51.0 119 119 0 10 2 3 simplify-fractions-sp~~perform-mult-r-sp 1~~3 243147 h0UbH181l8 Unit CTA1_13, Section CTA1_13-1 PROP12 1 G/250 = 200 2006-01-03 15:10:12.0 2006-01-03 15:10:20.0 2006-01-03 15:10:20.0 2006-01-03 15:10:20.0 8 8 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 41~~87 243549 h0UbH181l8 Unit CTA1_06, Section CTA1_06-4 BH1T48 1 R4C2 2006-01-18 14:40:48.0 2006-01-18 14:41:08.0 2006-01-18 14:41:17.0 2006-01-18 14:41:17.0 29 29 0 1 0 1 Entering a given 296 244253 h0UbH181l8 Unit ES_03, Section ES_03-6 EG51 2 -0.07352941(-1.6-7.5) = y 2006-01-30 10:15:53.0 2006-01-30 10:16:03.0 2006-01-30 10:16:13.0 2006-01-30 10:16:13.0 20 20 0 1 0 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 54 244496 h0UbH181l8 Unit CTA1_08, Section CTA1_08-2 L3_DEMO 1 YLabel 2006-02-01 15:06:16.0 2006-02-01 15:06:27.0 2006-02-01 15:06:27.0 2006-02-01 15:06:27.0 11 11 1 0 0 1 Labelling the axes 89 245318 h0UbH181l8 Unit ES_04, Section ES_04-12 EG58 2 constant factors2R1 2006-02-24 09:47:23.0 2006-02-24 09:47:24.0 2006-02-24 09:47:24.0 2006-02-24 09:47:24.0 1 1 1 0 0 1 246124 h0UbH181l8 Unit CTA1_10, Section CTA1_10-6 DISTFB10_SP 1 R5C1 2006-03-15 14:52:44.0 2006-03-15 14:52:48.0 2006-03-15 14:52:48.0 2006-03-15 14:52:48.0 4 4 1 0 0 1 Entering a given 398 246339 h0UbH181l8 Unit ES_07, Section ES_07-6 LIT71 1 A = 1/2*b*h 2006-03-20 09:41:05.0 2006-03-20 09:41:14.0 2006-03-20 09:41:14.0 2006-03-20 09:41:14.0 9 9 1 0 0 1 246620 h0UbH181l8 Unit CTA1_12, Section CTA1_12-4 SYSFB04 2 yMin 2006-03-23 10:02:19.0 2006-03-23 10:02:26.0 2006-03-23 10:02:26.0 2006-03-23 10:02:26.0 7 7 1 0 0 1 Changing axis bounds 125 247019 h0UbH181l8 Unit ES_05, Section ES_05-10 EG62A 1 constant terms2R1 2006-03-27 10:07:53.0 2006-03-27 10:07:55.0 2006-03-27 10:07:55.0 2006-03-27 10:07:55.0 2 2 1 0 0 1 247369 h0UbH181l8 Unit CTA1_14, Section CTA1_14-4 TPH15 2 R5C2 2006-04-06 10:01:06.0 2006-04-06 10:01:14.0 2006-04-06 10:01:14.0 2006-04-06 10:01:14.0 8 8 1 0 0 1 Entering a given 517 247824 h0UbH181l8 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT-4X-10 1 yMax 2006-04-24 09:50:23.0 2006-04-24 09:50:27.0 2006-04-24 09:50:27.0 2006-04-24 09:50:27.0 4 4 1 0 0 1 248109 h0UbH181l8 Unit CTA1_15, Section CTA1_15-3 SYS09 2 R7C1 2006-05-03 10:05:50.0 2006-05-03 10:05:55.0 2006-05-03 10:05:55.0 2006-05-03 10:05:55.0 5 5 1 0 0 1 Entering a given~~Convert unit, standard 578~~39 248320 h0UbH181l8 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE5TRE 1 R8C1 2006-05-15 09:11:47.0 2006-05-15 09:12:19.0 2006-05-15 09:12:19.0 2006-05-15 09:12:19.0 32 32 1 0 0 1 Entering a computed linear value 41 248458 h0UbH181l8 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR08 1 a-factor-1 2006-05-22 10:13:38.0 2006-05-22 10:13:42.0 2006-05-22 10:13:42.0 2006-05-22 10:13:42.0 4 4 1 0 0 1 248689 h0UbH181l8 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR07 1 (-9+sqrt(81-80))/2 = x 2006-06-05 08:46:03.0 2006-06-05 08:46:07.0 2006-06-05 08:46:07.0 2006-06-05 08:46:07.0 4 4 1 0 0 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 77 248817 h0UbH181l8 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD2TRE 1 R4C2 2006-06-05 09:23:06.0 2006-06-05 09:23:32.0 2006-06-05 09:23:32.0 2006-06-05 09:23:32.0 26 26 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, any form~~Entering a computed quadratic value 447~~409~~25~~15 248825 h0UbH181l8 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR21 2 (-7?sqrt(7*7-4*1*9))/(2*1) = x 2006-06-05 09:38:42.0 2006-06-05 09:38:50.0 2006-06-05 09:38:50.0 2006-06-05 09:38:50.0 8 8 1 0 0 1 248977 h0UbH181l8 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD7TRE 1 YLabel 2006-06-07 09:38:35.0 2006-06-07 09:38:54.0 2006-06-07 09:38:54.0 2006-06-07 09:38:54.0 19 19 1 0 0 1 Labelling the axes 175 249035 h0UbH181l8 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 (2(x^2)(y^5))(2(x^5)(y^4)) 2006-06-07 09:55:20.0 2006-06-07 09:56:04.0 2006-06-07 09:56:04.0 2006-06-07 09:56:04.0 44 44 1 0 0 1 249093 h0UbH181l8 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS08 2 1.333x^0 2006-06-07 10:08:48.0 2006-06-07 10:08:59.0 2006-06-07 10:09:04.0 2006-06-07 10:09:04.0 16 16 0 1 2 1 249371 LnVZmUuwc8 Unit CTA1_01, Section CTA1_01-4 L1FB12B 1 R5C1 2005-09-30 09:01:25.0 2005-09-30 09:01:31.0 2005-09-30 09:01:31.0 2005-09-30 09:01:31.0 6 6 1 0 0 1 Entering a given 54 249623 LnVZmUuwc8 Unit CTA1_02, Section CTA1_02-4 L2FB14A 1 R4C2 2005-10-14 09:06:35.0 2005-10-14 09:06:52.0 2005-10-14 09:06:52.0 2005-10-14 09:06:52.0 17 17 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 152~~75~~23 249837 LnVZmUuwc8 Unit ES_01, Section ES_01-6 EG22 3 y = 4+8 2005-10-20 08:52:54.0 2005-10-20 08:52:57.0 2005-10-20 08:52:57.0 2005-10-20 08:52:57.0 3 3 1 0 0 1 [SkillRule: Select Combine Terms; CLT]~~[SkillRule: Consolidate vars, no coeff; CLT] 36~~46 250200 LnVZmUuwc8 Unit CTA1_04, Section CTA1_04-3 PERCENT14C 1 R3C2 2005-10-31 09:42:57.0 2005-10-31 09:44:33.0 2005-10-31 09:46:17.0 200 200 0 2 0 0 Using small numbers~~Write expression, positive slope~~Using difficult numbers 121~~47~~43 250459 LnVZmUuwc8 Unit ES_02, Section ES_02-8 EG41 1 y1R1 2005-11-01 15:43:07.0 2005-11-01 15:43:11.0 2005-11-01 15:43:11.0 2005-11-01 15:43:11.0 4 4 1 0 0 1 250631 LnVZmUuwc8 Unit CTA1_13, Section CTA1_13-1 PROP10 1 R2C2 2005-11-03 11:02:11.0 2005-11-03 11:02:22.0 2005-11-03 11:02:22.0 2005-11-03 11:02:22.0 11 11 1 0 0 1 Identifying units 94 251110 LnVZmUuwc8 Unit CTA1_06, Section CTA1_06-3 JAN06 1 R4C1 2005-11-09 11:14:50.0 2005-11-09 11:14:52.0 2005-11-09 11:14:52.0 2005-11-09 11:14:52.0 2 2 1 0 0 1 Entering a given 310 251517 LnVZmUuwc8 Unit ES_03, Section ES_03-6 EG51A 2 FinalAnswer 2005-11-11 11:06:44.0 2005-11-11 11:06:59.0 2005-11-11 11:07:01.0 2005-11-11 11:07:01.0 17 17 0 1 0 1 combine-like-terms-sp 47 251832 LnVZmUuwc8 Unit CTA1_08, Section CTA1_08-3 FEB08 1 XLabel 2005-11-16 11:31:32.0 2005-11-16 11:31:36.0 2005-11-16 11:31:41.0 2005-11-16 11:31:41.0 7 7 0 1 0 1 Labelling the axes 125 252062 LnVZmUuwc8 Unit ES_04, Section ES_04-13 LIT36 1 -n/z = 6 2005-11-17 11:35:11.0 2005-11-17 11:35:16.0 2005-11-17 11:35:16.0 2005-11-17 11:35:16.0 5 5 1 0 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 10 252479 LnVZmUuwc8 Unit CTA1_10, Section CTA1_10-5 DIST05_SP 1 R7C1 2005-11-22 11:27:56.0 2005-11-22 11:28:00.0 2005-11-22 11:29:13.0 2005-11-22 11:29:13.0 7 7 0 1 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 284~~96~~168 252821 LnVZmUuwc8 Unit ES_07, Section ES_07-6 LIT81A 1 a*h = q*k+7g 2005-12-02 11:49:23.0 2005-12-02 11:49:30.0 2005-12-02 11:49:30.0 2005-12-02 11:49:30.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 328 252991 LnVZmUuwc8 Unit CTA1_12, Section CTA1_12-3 SYSFB12 2 Intersection 1 X 2006-02-09 10:01:44.0 2006-02-09 10:02:35.0 2006-02-09 10:02:35.0 2006-02-09 10:02:35.0 51 51 1 0 0 1 Labelling point of intersection 9 253274 NZJd9Aq3De Unit CTA1_01, Section CTA1_01-3 BH1T19 2 R5C2 2006-05-08 08:48:23.0 2006-05-08 08:48:56.0 2006-05-08 08:48:56.0 2006-05-08 08:48:56.0 33 33 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope 39~~20~~7 253496 odPTXtfS78 Unit CTA1_01, Section CTA1_01-3 BH1T27B 1 R1C1 2005-09-09 09:15:26.0 2005-09-09 09:15:41.0 2005-09-09 09:15:41.0 2005-09-09 09:15:41.0 15 15 1 0 0 1 253854 odPTXtfS78 Unit CTA1_02, Section CTA1_02-4 L2FB14A 1 R6C1 2005-09-30 09:11:55.0 2005-09-30 09:11:56.0 2005-09-30 09:11:56.0 2005-09-30 09:11:56.0 1 1 1 0 0 1 Entering a given 111 254096 odPTXtfS78 Unit ES_01, Section ES_01-8 EG23 3 3 = 4y 2005-10-03 15:33:03.0 2005-10-03 15:33:07.0 2005-10-03 15:33:07.0 2005-10-03 15:33:07.0 4 4 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 5~~8 254390 odPTXtfS78 Unit CTA1_04, Section CTA1_04-4 BH1T47C 2 R6C1 2005-10-20 08:53:01.0 2005-10-20 08:53:14.0 2005-10-20 08:56:31.0 2005-10-20 08:56:31.0 47 47 0 3 0 1 Using simple numbers~~Using small numbers~~Find X, negative slope 168~~124~~7 254566 odPTXtfS78 Unit ES_02, Section ES_02-5 EG40 11 -9-9 = 9-6x-9 2005-10-24 08:58:31.0 2005-10-24 08:58:45.0 2005-10-24 08:58:45.0 2005-10-24 08:58:45.0 14 14 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 36 254752 odPTXtfS78 Unit CTA1_13, Section CTA1_13-1 PROP03 1 250 = A*1/5 2005-10-27 15:46:34.0 2005-10-27 15:46:44.0 2005-10-27 15:46:44.0 2005-10-27 15:46:44.0 10 10 1 0 0 1 255223 odPTXtfS78 Unit CTA1_06, Section CTA1_06-3 JAN06 1 R5C2 2005-11-29 09:54:15.0 2005-11-29 09:54:23.0 2005-11-29 09:54:23.0 2005-11-29 09:54:23.0 8 8 1 0 0 1 Entering a given 278 255787 odPTXtfS78 Unit ES_03, Section ES_03-6 EG51 7 13x = -7.5 2006-01-20 10:06:55.0 2006-01-20 10:07:36.0 2006-01-20 10:09:07.0 2006-01-20 10:09:07.0 132 132 0 3 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 107~~199 256168 odPTXtfS78 Unit CTA1_08, Section CTA1_08-3 FEB08 1 R2C2 2006-02-06 09:47:39.0 2006-02-06 09:47:44.0 2006-02-06 09:47:44.0 2006-02-06 09:47:44.0 5 5 1 0 0 1 Identifying units 157 256599 odPTXtfS78 Unit ES_04, Section ES_04-13 LIT21 1 d/n = q 2006-02-23 13:56:59.0 2006-02-23 13:57:12.0 2006-02-23 13:57:12.0 2006-02-23 13:57:12.0 13 13 1 0 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 12 257093 odPTXtfS78 Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 R2C1 2006-03-06 10:12:35.0 2006-03-06 10:12:39.0 2006-03-06 10:12:39.0 2006-03-06 10:12:39.0 4 4 1 0 0 1 Identifying units 178 257611 odPTXtfS78 Unit ES_07, Section ES_07-4 LIT63A 2 di-expr 2006-03-20 09:56:44.0 2006-03-20 09:56:46.0 2006-03-20 09:56:46.0 2006-03-20 09:56:46.0 2 2 1 0 0 1 258138 odPTXtfS78 Unit CTA1_12, Section CTA1_12-4 SYSFB22 2 R2C3 2006-04-28 09:09:41.0 2006-04-28 09:10:30.0 2006-04-28 09:10:30.0 2006-04-28 09:10:30.0 49 49 1 0 0 1 Identifying units 223 258402 odPTXtfS78 Unit ES_05, Section ES_05-6 EG60 4 constant termsR2 2006-05-22 10:08:27.0 2006-05-22 10:08:31.0 2006-05-22 10:08:31.0 2006-05-22 10:10:53.0 9 9 1 0 0 3 258613 OPv5PP9Bi4 Unit CTA1_01, Section CTA1_01-4 REAL32C 1 R5C1 2006-02-24 09:56:40.0 2006-02-24 09:56:46.0 2006-02-24 09:56:46.0 2006-02-24 09:56:46.0 6 6 1 0 0 1 Entering a given 37 258846 OPv5PP9Bi4 Unit CTA1_02, Section CTA1_02-4 REAL28 1 R5C2 2006-02-27 11:28:44.0 2006-02-27 11:29:14.0 2006-02-27 11:29:14.0 2006-02-27 11:29:14.0 30 30 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, negative slope 114~~64~~20 258959 OPv5PP9Bi4 Unit ES_01, Section ES_01-6 EG22 1 -3+x = -8 2006-03-01 11:16:59.0 2006-03-01 11:17:09.0 2006-03-01 11:17:09.0 2006-03-01 11:17:09.0 10 10 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 2~~1 259177 OPv5PP9Bi4 Unit CTA1_04, Section CTA1_04-4 L5FB04B 1 R1C1 2006-03-14 10:59:17.0 2006-03-14 10:59:46.0 2006-03-14 10:59:46.0 2006-03-14 10:59:46.0 29 29 1 0 0 1 259351 OPv5PP9Bi4 Unit ES_02, Section ES_02-8 EG41 3 x/-10-3+3 = -4+3 2006-03-22 11:39:55.0 2006-03-22 11:40:08.0 2006-03-22 11:40:08.0 2006-03-22 11:40:19.0 24 24 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 10 259528 OPv5PP9Bi4 Unit CTA1_13, Section CTA1_13-1 PROP13 1 R4C1 2006-03-31 10:10:36.0 2006-03-31 10:10:57.0 2006-03-31 10:10:57.0 2006-03-31 10:10:57.0 21 21 1 0 0 1 Entering a given~~Convert unit, standard 180~~8 259855 OPv5PP9Bi4 Unit CTA1_06, Section CTA1_06-3 BH1T42 1 yScale 2006-04-24 09:19:58.0 2006-04-24 09:20:46.0 2006-04-24 09:20:46.0 2006-04-24 09:20:46.0 48 48 1 0 0 1 Changing axis intervals 48 260303 OPv5PP9Bi4 Unit ES_03, Section ES_03-6 EG53A 1 -x+46.5x-36.1 = -35.5 2006-05-22 09:36:00.0 2006-05-22 09:36:22.0 2006-05-22 09:36:22.0 2006-05-22 09:36:22.0 22 22 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 85 260453 OPv5PP9Bi4 Unit CTA1_08, Section CTA1_08-2 REAL30 1 yScale 2006-05-23 09:16:07.0 2006-05-23 09:16:13.0 2006-05-23 09:16:13.0 2006-05-23 09:16:13.0 6 6 1 0 0 1 Changing axis intervals 76 260652 qL6HDg57R9 Unit CTA1_01, Section CTA1_01-4 L1FB12 1 R4C2 2005-09-07 11:20:35.0 2005-09-07 11:21:01.0 2005-09-07 11:21:01.0 2005-09-07 11:21:01.0 26 26 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope 59~~29~~12 260868 qL6HDg57R9 Unit CTA1_02, Section CTA1_02-3 L3NOV12A 2 XLabel 2005-09-13 09:21:05.0 2005-09-13 09:21:38.0 2005-09-13 09:21:38.0 2005-09-13 09:21:38.0 33 33 1 0 0 1 Labelling the axes 19 261021 qL6HDg57R9 Unit ES_01, Section ES_01-2 EG1 3 FinalAnswer 2005-09-23 09:09:15.0 2005-09-23 09:09:21.0 2005-09-23 09:09:21.0 2005-09-23 09:09:31.0 9 9 1 0 0 2 combine-like-terms-sp~~perform-mult-whole-sp 5~~5 261042 qL6HDg57R9 Unit CTA1_02, Section CTA1_02-4 REAL28 2 R4C2 2005-09-23 09:10:57.0 2005-09-23 09:11:01.0 2005-09-23 09:11:43.0 9 9 0 3 0 0 Using simple numbers~~Using small numbers~~Find Y, negative slope 144~~80~~24 261338 qL6HDg57R9 Unit ES_01, Section ES_01-8 EG24 2 -2x/-2 = -7/-2 2005-09-29 11:22:26.0 2005-09-29 11:24:21.0 2005-09-29 11:24:21.0 2005-09-29 11:24:21.0 115 115 1 0 0 1 261491 qL6HDg57R9 Unit CTA1_04, Section CTA1_04-1 LDEMO_WSLVR 1 R6C1 2005-09-30 08:57:48.0 2005-09-30 08:57:54.0 2005-09-30 09:04:04.0 2005-09-30 09:04:04.0 131 131 0 4 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 84~~6~~4 261492 qL6HDg57R9 Unit ES_01, Section ES_01-9 EG26 3 y = -8*-10 2005-09-30 09:04:54.0 2005-09-30 09:06:35.0 2005-09-30 09:06:35.0 2005-09-30 09:06:35.0 101 101 1 0 0 1 261724 qL6HDg57R9 Unit CTA1_04, Section CTA1_04-4 L5FB04 1 R4C1 2005-10-05 11:34:32.0 2005-10-05 11:34:37.0 2005-10-05 11:34:37.0 2005-10-05 11:34:37.0 5 5 1 0 0 1 Entering a given 171 261933 qL6HDg57R9 Unit ES_02, Section ES_02-7 EG41 1 4 = -8+(y/-7) 2005-10-06 11:33:21.0 2005-10-06 11:33:39.0 2005-10-06 11:33:39.0 2005-10-06 11:33:39.0 18 18 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 65 262135 qL6HDg57R9 Unit CTA1_13, Section CTA1_13-1 PROP13 1 6/9*D = 210 2005-10-07 09:12:21.0 2005-10-07 09:12:26.0 2005-10-07 09:12:26.0 2005-10-07 09:12:26.0 5 5 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 87 262158 qL6HDg57R9 Unit CTA1_06, Section CTA1_06-1 LDEMO_4QGRPH 1 Point 1.1 2005-10-07 09:19:32.0 2005-10-07 09:19:40.0 2005-10-07 09:19:40.0 4 4 0 0 1 0 Correctly placing points 8 262169 qL6HDg57R9 Unit CTA1_13, Section CTA1_13-1 PROP07 2 R6C2 2005-10-07 09:22:39.0 2005-10-07 09:22:48.0 2005-10-07 09:22:48.0 9 9 0 1 0 0 Find Y, Simple~~Using small numbers~~Using difficult numbers 47~~173~~95 262496 qL6HDg57R9 Unit CTA1_06, Section CTA1_06-4 BH1T52 1 ValidEquations 2005-10-14 08:59:35.0 2005-10-14 08:59:58.0 2005-10-14 08:59:58.0 2005-10-14 09:02:35.0 66 66 1 1 0 4 263190 qL6HDg57R9 Unit ES_03, Section ES_03-8 LIT12A 1 m = j+3 2005-10-21 11:11:56.0 2005-10-21 11:11:58.0 2005-10-21 11:11:58.0 2 2 0 1 0 0 [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] 4 263454 qL6HDg57R9 Unit CTA1_08, Section CTA1_08-3 REAL37 2 yScale 2005-10-24 09:13:43.0 2005-10-24 09:13:51.0 2005-10-24 09:13:51.0 2005-10-24 09:14:25.0 28 28 1 0 0 3 Changing axis intervals 64 263922 qL6HDg57R9 Unit ES_04, Section ES_04-16 LIT58A 1 7+z*(c+q)-7 = s+g-7 2005-10-26 11:43:05.0 2005-10-26 11:43:16.0 2005-10-26 11:43:16.0 2005-10-26 11:43:31.0 26 26 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 83 264233 qL6HDg57R9 Unit CTA1_10, Section CTA1_10-6 DISTFB12_SP 1 50+60D = 395 2005-10-28 09:14:51.0 2005-10-28 09:14:56.0 2005-10-28 09:15:00.0 2005-10-28 09:15:00.0 9 9 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 282 264359 qL6HDg57R9 Unit ES_07, Section ES_07-4 LIT64A 1 y*j+z*u-g*x = j*c 2005-10-28 11:19:15.0 2005-10-28 11:19:35.0 2005-10-28 11:19:35.0 2005-10-28 11:19:35.0 20 20 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 6 264907 qL6HDg57R9 Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 0.35d = 0 2005-12-07 11:17:51.0 2005-12-07 11:17:57.0 2005-12-07 11:17:57.0 2005-12-07 11:17:57.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 117~~357 265227 qL6HDg57R9 Unit ES_05, Section ES_05-10 EG62 1 constant terms2R1 2005-12-20 10:10:34.0 2005-12-20 10:10:36.0 2005-12-20 10:10:36.0 2005-12-20 10:10:36.0 2 2 1 0 0 1 265626 qL6HDg57R9 Unit CTA1_14, Section CTA1_14-3 2PTS01 4 R7C2 2006-01-30 11:30:44.0 2006-01-30 11:31:14.0 2006-01-30 11:31:35.0 2006-01-30 11:31:35.0 34 34 0 1 0 1 Entering a given 524 266275 qL6HDg57R9 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-2X-2YGE9 1 0-2y = 9 2006-03-31 10:15:37.0 2006-03-31 10:15:41.0 2006-03-31 10:15:48.0 2006-03-31 10:15:48.0 11 11 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 471 266513 qL6HDg57R9 Unit CTA1_15, Section CTA1_15-3 SYS09 2 R7C1 2006-04-19 09:03:59.0 2006-04-19 09:05:48.0 2006-04-19 09:05:48.0 2006-04-19 09:05:48.0 109 109 1 0 0 1 Entering a given~~Convert unit, standard 599~~43 266846 qL6HDg57R9 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE2TRE 1 R6C3 2006-05-26 09:07:19.0 2006-05-26 09:07:24.0 2006-05-26 09:07:24.0 2006-05-26 09:07:24.0 5 5 1 0 0 1 266923 qL6HDg57R9 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR07 2 c-factor-2 2006-06-06 09:34:57.0 2006-06-06 09:34:59.0 2006-06-06 09:35:44.0 2006-06-06 09:41:14.0 45 45 0 13 0 3 267134 Si4v9635O3 Unit CTA1_01, Section CTA1_01-3 L3NOV07A 1 R2C1 2005-09-16 08:46:26.0 2005-09-16 08:46:35.0 2005-09-16 08:46:41.0 2005-09-16 08:46:41.0 15 15 0 1 0 1 Identifying units 25 267459 Si4v9635O3 Unit CTA1_02, Section CTA1_02-4 BH1T29A 1 xMin 2005-09-30 09:02:56.0 2005-09-30 09:03:00.0 2005-09-30 09:03:00.0 2005-09-30 09:03:00.0 4 4 1 0 0 1 Changing axis bounds 37 267765 Si4v9635O3 Unit ES_01, Section ES_01-8 EG24 5 -6y/-6 = 9/-6 2005-10-14 08:53:05.0 2005-10-14 08:53:11.0 2005-10-14 08:53:11.0 2005-10-14 08:53:11.0 6 6 1 0 0 1 268134 Si4v9635O3 Unit CTA1_04, Section CTA1_04-4 BH1T47 2 R7C2 2005-11-03 09:50:32.0 2005-11-03 09:50:54.0 2005-11-03 09:50:54.0 2005-11-03 09:50:54.0 22 22 1 0 0 1 Entering a given 198 268633 Si4v9635O3 Unit ES_02, Section ES_02-10 EG44 1 -8/y*y = -3y 2005-12-06 14:49:51.0 2005-12-06 14:50:06.0 2005-12-06 14:50:06.0 2005-12-06 14:50:20.0 29 29 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 30 268728 Si4v9635O3 Unit CTA1_13, Section CTA1_13-1 PROP01 1 R7C1 2005-12-07 14:54:44.0 2005-12-07 14:54:50.0 2005-12-07 14:54:50.0 2005-12-07 14:54:50.0 6 6 1 0 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 138~~28~~65 269272 Si4v9635O3 Unit CTA1_06, Section CTA1_06-4 L6FB19 2 YLabel 2006-01-06 13:11:26.0 2006-01-06 13:11:53.0 2006-01-06 13:11:53.0 2006-01-06 13:11:53.0 27 27 1 0 0 1 Labelling the axes 61 269793 Si4v9635O3 Unit ES_03, Section ES_03-7 LIT5 1 m/q = x 2006-01-30 10:05:39.0 2006-01-30 10:05:44.0 2006-01-30 10:05:44.0 2006-01-30 10:05:44.0 5 5 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 258 270110 Si4v9635O3 Unit CTA1_08, Section CTA1_08-3 BH1T07 1 R2C1 2006-02-03 10:17:12.0 2006-02-03 10:17:19.0 2006-02-03 10:17:19.0 2006-02-03 10:17:19.0 7 7 1 0 0 1 Identifying units 162 270485 Si4v9635O3 Unit ES_04, Section ES_04-14 LIT35A 1 -3 = x*c 2006-02-22 15:14:55.0 2006-02-22 15:15:02.0 2006-02-22 15:15:02.0 2006-02-22 15:15:02.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 328 270826 Si4v9635O3 Unit CTA1_10, Section CTA1_10-4 FOR08_SP 2 5000R = 350 2006-03-09 10:04:52.0 2006-03-09 10:04:58.0 2006-03-09 10:04:58.0 2006-03-09 10:04:58.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 133~~366 271120 Si4v9635O3 Unit ES_07, Section ES_07-6 LIT77A 1 2z = k-c 2006-03-24 10:07:36.0 2006-03-24 10:07:42.0 2006-03-24 10:07:42.0 2006-03-24 10:07:42.0 6 6 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 406 271478 Si4v9635O3 Unit CTA1_12, Section CTA1_12-6 SYSFB11 2 R1C3 2006-04-24 08:41:41.0 2006-04-24 08:44:05.0 2006-04-24 08:44:05.0 2006-04-24 08:44:05.0 144 144 1 0 0 1 271879 Si4v9635O3 Unit ES_05, Section ES_05-8 EG61 12 -8.3x = -2.79-8.79 2006-05-01 08:04:45.0 2006-05-01 08:05:00.0 2006-05-01 08:05:00.0 2006-05-01 08:05:07.0 22 22 1 0 0 2 [SkillRule: Consolidate vars with coeff; CLT] 215 272045 Si4v9635O3 Unit CTA1_14, Section CTA1_14-2 1PTB02 1 R2C1 2006-05-05 09:17:52.0 2006-05-05 09:18:01.0 2006-05-05 09:18:01.0 2006-05-05 09:18:01.0 9 9 1 0 0 1 Identifying units 226 272218 stK4H8Vit6 Unit CTA1_01, Section CTA1_01-3 BH1T27B 1 R3C1 2005-10-03 08:58:56.0 2005-10-03 08:58:59.0 2005-10-03 08:58:59.0 2005-10-03 08:58:59.0 3 3 1 0 0 1 Define Variable 15 272590 stK4H8Vit6 Unit CTA1_02, Section CTA1_02-3 L3NOV12B 2 R7C2 2005-11-29 09:59:12.0 2005-11-29 10:01:35.0 2005-11-29 10:01:35.0 2005-11-29 10:01:35.0 143 143 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 156~~83~~52 272889 stK4H8Vit6 Unit ES_01, Section ES_01-8 EG23 2 -6/5 = 5y/5 2005-12-07 15:11:20.0 2005-12-07 15:11:37.0 2005-12-07 15:11:37.0 2005-12-07 15:11:37.0 17 17 1 0 0 1 273168 stK4H8Vit6 Unit CTA1_04, Section CTA1_04-2 BH1T32B 1 R3C2 2006-01-11 14:44:54.0 2006-01-11 14:45:32.0 2006-01-11 14:47:13.0 2006-01-11 14:47:13.0 139 139 0 3 4 1 Write expression, positive slope~~Using large numbers~~Using difficult numbers 46~~115~~35 273692 stK4H8Vit6 Unit ES_02, Section ES_02-10 EG44 5 -5x = -3/x*x 2006-02-01 15:22:37.0 2006-02-01 15:22:46.0 2006-02-01 15:22:46.0 2006-02-01 15:22:51.0 14 14 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 30 273808 stK4H8Vit6 Unit CTA1_13, Section CTA1_13-1 PROP06 1 R4C1 2006-02-03 10:13:48.0 2006-02-03 10:14:29.0 2006-02-03 10:15:41.0 2006-02-03 10:15:41.0 49 49 0 1 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 155~~34~~76 274278 stK4H8Vit6 Unit CTA1_06, Section CTA1_06-3 BH1T42 1 R1C1 2006-03-06 09:06:28.0 2006-03-06 09:07:07.0 2006-03-06 09:07:07.0 2006-03-06 09:07:07.0 39 39 1 0 0 1 275110 stK4H8Vit6 Unit ES_03, Section ES_03-8 LIT17A 1 -z/-1 = r/-1 2006-03-29 09:21:42.0 2006-03-29 09:21:47.0 2006-03-29 09:22:12.0 2006-03-29 09:22:45.0 63 63 0 1 2 3 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] 12 275428 stK4H8Vit6 Unit CTA1_08, Section CTA1_08-3 REAL10 1 R3C1 2006-04-04 08:58:18.0 2006-04-04 08:58:21.0 2006-04-04 08:58:21.0 2006-04-04 08:58:21.0 3 3 1 0 0 1 Define Variable 117 276058 stK4H8Vit6 Unit ES_04, Section ES_04-12 EG58 8 -1x+(-50x)+80-80 = 1-80 2006-04-10 10:04:15.0 2006-04-10 10:04:44.0 2006-04-10 10:05:13.0 2006-04-10 10:05:20.0 65 65 0 1 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 99 276510 stK4H8Vit6 Unit CTA1_10, Section CTA1_10-3 DISTFB06_SP 1 R1C2 2006-04-20 09:10:45.0 2006-04-20 09:11:21.0 2006-04-20 09:11:21.0 2006-04-20 09:11:21.0 36 36 1 0 0 1 277128 stK4H8Vit6 Unit ES_07, Section ES_07-6 LIT79A 1 (4y+5r+9s)/2 = 2v/2 2006-05-05 10:18:17.0 2006-05-05 10:18:41.0 2006-05-05 10:18:56.0 2006-05-05 10:19:01.0 44 44 0 1 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 153 277512 stK4H8Vit6 Unit CTA1_12, Section CTA1_12-6 SYSFB03 1 75+25S = 40S 2006-05-18 09:13:20.0 2006-05-18 09:13:32.0 2006-05-18 09:13:42.0 2006-05-18 09:13:42.0 22 22 0 1 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 34 277773 stK4H8Vit6 Unit ES_05, Section ES_05-6 EG60 9 constant termsR2 2006-05-22 08:55:31.0 2006-05-22 08:55:34.0 2006-05-22 08:55:34.0 2006-05-22 08:55:34.0 3 3 1 0 0 1 278107 stK4H8Vit6 Unit CTA1_14, Section CTA1_14-2 1PTFB14 1 ValidEquations 2006-05-24 09:07:00.0 2006-05-24 09:07:15.0 2006-05-24 09:07:15.0 2006-05-24 09:07:15.0 15 15 1 0 0 2 278421 t4K5z0e2NZ Unit CTA1_01, Section CTA1_01-3 DEC03B 1 R2C1 2005-09-12 09:05:23.0 2005-09-12 09:05:26.0 2005-09-12 09:05:26.0 2005-09-12 09:05:26.0 3 3 1 0 0 1 Identifying units 26 278768 t4K5z0e2NZ Unit CTA1_02, Section CTA1_02-4 REAL28 1 R6C1 2005-09-29 08:53:34.0 2005-09-29 08:53:40.0 2005-09-29 08:53:40.0 2005-09-29 08:53:40.0 6 6 1 0 0 1 Entering a given 119 278891 t4K5z0e2NZ Unit ES_01, Section ES_01-6 EG22 4 -8+x-(-8) = 9-(-8) 2005-09-30 08:35:35.0 2005-09-30 08:35:42.0 2005-09-30 08:35:42.0 2005-09-30 08:35:42.0 7 7 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 24 279117 t4K5z0e2NZ Unit CTA1_04, Section CTA1_04-3 L2FB15C 1 30 = -6.79+0.27C 2005-10-14 08:43:51.0 2005-10-14 08:43:58.0 2005-10-14 08:43:58.0 2005-10-14 08:43:58.0 7 7 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 23~~4 279391 t4K5z0e2NZ Unit ES_02, Section ES_02-7 EG41 4 -32 = x/-8*-8 2005-10-20 08:47:26.0 2005-10-20 08:47:29.0 2005-10-20 08:47:29.0 2005-10-20 08:47:29.0 3 3 1 0 0 1 279537 t4K5z0e2NZ Unit CTA1_13, Section CTA1_13-1 PROP03 1 R3C2 2005-10-21 09:07:05.0 2005-10-21 09:07:14.0 2005-10-21 09:07:14.0 2005-10-21 09:07:14.0 9 9 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 119~~47~~37 279961 t4K5z0e2NZ Unit CTA1_06, Section CTA1_06-4 L6FB19 1 1.8C = 631 2005-11-11 09:45:08.0 2005-11-11 09:45:16.0 2005-11-11 09:45:16.0 2005-11-11 09:45:16.0 8 8 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 59~~128 280285 t4K5z0e2NZ Unit ES_03, Section ES_03-7 LIT11 1 -m = s-2 2005-12-02 10:22:41.0 2005-12-02 10:23:26.0 2005-12-02 10:23:26.0 2005-12-02 10:23:26.0 45 45 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 170~~11 280492 t4K5z0e2NZ Unit CTA1_08, Section CTA1_08-3 L5FB02 1 R1C2 2005-12-13 10:19:47.0 2005-12-13 10:20:06.0 2005-12-13 10:20:06.0 2005-12-13 10:20:06.0 19 19 1 0 0 1 280869 t4K5z0e2NZ Unit ES_04, Section ES_04-16 LIT54A 1 m*(y+u)/m = c/m 2006-01-09 09:54:48.0 2006-01-09 09:54:57.0 2006-01-09 09:54:57.0 2006-01-09 09:55:03.0 15 15 1 0 0 2 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] 13 281131 t4K5z0e2NZ Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 R2C2 2006-01-20 10:18:58.0 2006-01-20 10:19:02.0 2006-01-20 10:19:02.0 2006-01-20 10:19:02.0 4 4 1 0 0 1 Identifying units 151 281372 t4K5z0e2NZ Unit ES_07, Section ES_07-4 LIT66A 1 di-expr 2006-02-27 10:12:25.0 2006-02-27 10:12:28.0 2006-02-27 10:12:28.0 2006-02-27 10:12:28.0 3 3 1 0 0 1 281629 t4K5z0e2NZ Unit CTA1_12, Section CTA1_12-4 SYSFB04 1 -185+35C = 0 2006-03-09 10:13:21.0 2006-03-09 10:13:28.0 2006-03-09 10:13:38.0 2006-03-09 10:13:38.0 17 17 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 274~~45 282003 t4K5z0e2NZ Unit ES_05, Section ES_05-12 LIT44 1 a*x+b*y = c 2006-03-20 09:45:35.0 2006-03-20 09:46:34.0 2006-03-20 09:46:34.0 2006-03-20 09:46:34.0 59 59 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 320 282371 t4K5z0e2NZ Unit CTA1_14, Section CTA1_14-4 TPH15 1 R3C1 2006-03-31 09:54:41.0 2006-03-31 09:54:42.0 2006-03-31 09:54:42.0 2006-03-31 09:54:42.0 1 1 1 0 0 1 Define Variable 158 282642 t4K5z0e2NZ Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLEX+7 1 ShadeButton1 2006-04-10 10:08:38.0 2006-04-10 10:08:49.0 2006-04-10 10:08:49.0 2006-04-10 10:08:49.0 11 11 1 0 0 1 Shading SIF equation with positive slope~~Including the line when shading~~Shading less than 3~~9~~8 282943 t4K5z0e2NZ Unit CTA1_15, Section CTA1_15-3 SYS09 2 XLabel 2006-04-27 10:17:32.0 2006-04-27 10:17:40.0 2006-04-27 10:17:40.0 2006-04-27 10:17:40.0 8 8 1 0 0 1 Labelling the axes 145 283169 t4K5z0e2NZ Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE2TRE 1 R3C2 2006-05-11 10:04:17.0 2006-05-11 10:04:20.0 2006-05-11 10:04:20.0 2006-05-11 10:04:20.0 3 3 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 407~~337~~142 283319 t4K5z0e2NZ Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR49 1 a-factor-2 2006-05-19 09:43:09.0 2006-05-19 09:43:50.0 2006-05-19 09:43:50.0 2006-05-19 09:43:50.0 41 41 1 0 0 1 283544 t4K5z0e2NZ Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR13 1 (8?sqrt(8^2-4*7*1))/(2*7) = x 2006-05-22 10:11:48.0 2006-05-22 10:11:56.0 2006-05-22 10:11:56.0 2006-05-22 10:11:56.0 8 8 1 0 0 1 283843 tlJn3I40bf Unit CTA1_01, Section CTA1_01-4 L1FB12B 1 R3C2 2005-09-12 09:19:26.0 2005-09-12 09:20:06.0 2005-09-12 09:20:44.0 2005-09-12 09:20:44.0 78 78 0 1 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 72~~32~~19 284008 tlJn3I40bf Unit CTA1_02, Section CTA1_02-3 L3NOV10C 1 yMin 2005-09-29 09:20:03.0 2005-09-29 09:20:04.0 2005-09-29 09:20:04.0 2005-09-29 09:20:04.0 1 1 1 0 0 1 Changing axis bounds 14 284243 tlJn3I40bf Unit ES_01, Section ES_01-6 EG21 9 x = -2-2 2005-10-06 10:48:23.0 2005-10-06 10:48:27.0 2005-10-06 10:48:27.0 2005-10-06 10:48:27.0 4 4 1 0 0 1 [SkillRule: Select Combine Terms; CLT]~~[SkillRule: Consolidate vars, no coeff; CLT] 18~~48 284490 tlJn3I40bf Unit CTA1_04, Section CTA1_04-3 PERCENT14 1 R4C1 2005-10-12 15:16:57.0 2005-10-12 15:17:07.0 2005-10-12 15:17:07.0 2005-10-12 15:17:07.0 10 10 1 0 0 1 Entering a given 145 284651 tlJn3I40bf Unit ES_02, Section ES_02-6 EG40 4 -7x-1 = 8 2005-10-14 09:22:30.0 2005-10-14 09:22:48.0 2005-10-14 09:22:48.0 2005-10-14 09:22:48.0 18 18 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 45~~10 284856 tlJn3I40bf Unit CTA1_13, Section CTA1_13-1 PROP09 1 R7C2 2005-10-20 09:22:11.0 2005-10-20 09:22:21.0 2005-10-20 09:22:21.0 2005-10-20 09:22:21.0 10 10 1 0 0 1 Entering a given 191 285197 tlJn3I40bf Unit CTA1_06, Section CTA1_06-3 JAN05 1 7500+155V = 92440 2005-10-28 09:16:30.0 2005-10-28 09:16:43.0 2005-10-28 09:16:43.0 2005-10-28 09:16:43.0 13 13 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 83 285667 tlJn3I40bf Unit ES_03, Section ES_03-6 EG53 1 -5.1+2.1 = 3.1x-2.1+2.1 2005-12-06 15:07:20.0 2005-12-06 15:07:27.0 2005-12-06 15:07:27.0 2005-12-06 15:08:19.0 59 59 1 2 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 24 285982 tlJn3I40bf Unit CTA1_08, Section CTA1_08-3 L5FB02 1 Formula 1 Coeff 0 2005-12-20 09:59:32.0 2005-12-20 09:59:58.0 2005-12-20 09:59:58.0 2005-12-20 09:59:58.0 26 26 1 0 0 1 Setting the y-intercept 17 286360 tlJn3I40bf Unit ES_04, Section ES_04-14 LIT20A 3 s/d*d = (f-c)*d 2006-01-24 13:50:44.0 2006-01-24 13:50:49.0 2006-01-24 13:50:49.0 2006-01-24 13:51:26.0 42 42 1 0 0 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 65~~71 286795 tlJn3I40bf Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 R7C2 2006-03-07 10:17:31.0 2006-03-07 10:17:41.0 2006-03-07 10:17:41.0 2006-03-07 10:17:41.0 10 10 1 0 0 1 Entering a given 362 287002 tlJn3I40bf Unit ES_07, Section ES_07-6 LIT81A 1 a*h-7g+7g = q*k+7g 2006-03-13 10:11:31.0 2006-03-13 10:11:44.0 2006-03-13 10:11:44.0 2006-03-13 10:11:50.0 19 19 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 79 287210 tlJn3I40bf Unit CTA1_12, Section CTA1_12-4 SYSFB04 1 xScale 2006-03-27 10:12:05.0 2006-03-27 10:12:16.0 2006-03-27 10:12:16.0 2006-03-27 10:13:12.0 38 38 1 0 0 2 Changing axis intervals 88 287571 tlJn3I40bf Unit ES_05, Section ES_05-10 EG62 2 35.57y+(-34.54) = 33.93 2006-04-10 09:15:10.0 2006-04-10 09:15:30.0 2006-04-10 09:15:30.0 2006-04-10 09:15:30.0 20 20 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 329 287955 tlJn3I40bf Unit CTA1_14, Section CTA1_14-4 IPCRETIREMENT 1 625000-259000/7*Y = 0 2006-05-22 09:20:58.0 2006-05-22 09:21:12.0 2006-05-22 09:21:12.0 2006-05-22 09:21:12.0 14 14 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 372 288215 tyU2s0MBzm Unit CTA1_01, Section CTA1_01-3 L5FB03A 1 R5C1 2005-09-09 09:23:05.0 2005-09-09 09:23:11.0 2005-09-09 09:23:11.0 2005-09-09 09:23:11.0 6 6 1 0 0 1 Entering a given 52 288484 tyU2s0MBzm Unit CTA1_02, Section CTA1_02-4 REAL28 1 XLabel 2005-09-20 13:07:05.0 2005-09-20 13:07:20.0 2005-09-20 13:07:20.0 2005-09-20 13:07:20.0 15 15 1 0 0 1 Labelling the axes 22 288776 tyU2s0MBzm Unit ES_01, Section ES_01-9 EG23 1 0/8 = 8x/8 2005-09-26 09:11:45.0 2005-09-26 09:11:58.0 2005-09-26 09:11:58.0 2005-09-26 09:12:15.0 30 30 1 1 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 3 288955 tyU2s0MBzm Unit CTA1_04, Section CTA1_04-2 BH1T02 1 N*10.5 = 2200 2005-09-30 08:49:25.0 2005-09-30 08:49:38.0 2005-09-30 08:49:38.0 2005-09-30 08:49:38.0 13 13 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 25~~35 289361 tyU2s0MBzm Unit ES_02, Section ES_02-10 EG44 3 -6y/-6 = -3/-6 2005-10-07 09:18:57.0 2005-10-07 09:19:11.0 2005-10-07 09:19:11.0 2005-10-07 09:19:19.0 22 22 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 21 289463 tyU2s0MBzm Unit CTA1_13, Section CTA1_13-1 PROP10 3 R7C1 2005-10-14 08:37:04.0 2005-10-14 08:37:12.0 2005-10-14 08:37:12.0 2005-10-14 08:37:12.0 8 8 1 0 0 1 Entering a given 206 290041 tyU2s0MBzm Unit CTA1_06, Section CTA1_06-5 FBSMR1 2 R5C1 2005-10-31 10:07:58.0 2005-10-31 10:08:04.0 2005-10-31 10:08:04.0 2005-10-31 10:08:04.0 6 6 1 0 0 1 Using simple numbers~~Using small numbers~~Find X, Simple 200~~183~~27 290398 tyU2s0MBzm Unit ES_03, Section ES_03-6 EG52A 2 34.3+27.8 = -18x-27.8+27.8 2005-11-16 14:13:53.0 2005-11-16 14:14:47.0 2005-11-16 14:14:47.0 2005-11-16 14:14:56.0 63 63 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 47 290691 tyU2s0MBzm Unit CTA1_08, Section CTA1_08-3 DEC04 1 XLabel 2005-11-21 10:20:32.0 2005-11-21 10:20:40.0 2005-11-21 10:20:40.0 2005-11-21 10:20:40.0 8 8 1 0 0 1 Labelling the axes 102 291133 tyU2s0MBzm Unit ES_04, Section ES_04-16 LIT55 1 (y-3)/m+7 = x-7+7 2005-12-05 10:14:15.0 2005-12-05 10:14:22.0 2005-12-05 10:14:22.0 2005-12-05 10:15:23.0 68 68 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 92 291372 tyU2s0MBzm Unit CTA1_10, Section CTA1_10-6 DISTFB11_SP 1 N-30 = 680/7 2005-12-19 10:02:50.0 2005-12-19 10:02:55.0 2005-12-19 10:02:55.0 2005-12-19 10:02:55.0 5 5 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 279 291542 tyU2s0MBzm Unit ES_07, Section ES_07-4 LIT63A 1 n*(t-z) = c*j+h*r 2005-12-20 10:17:29.0 2005-12-20 10:17:42.0 2005-12-20 10:17:42.0 2005-12-20 10:17:42.0 13 13 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 299 291940 tyU2s0MBzm Unit CTA1_12, Section CTA1_12-5 SYSFB05 2 xMax 2006-01-06 11:32:24.0 2006-01-06 11:34:18.0 2006-01-06 11:34:18.0 2006-01-06 11:34:18.0 114 114 1 0 0 1 Changing axis bounds 157 292500 tyU2s0MBzm Unit ES_05, Section ES_05-8 EG61 5 1.5x+1.06 = 0x 2006-01-27 14:05:29.0 2006-01-27 14:06:02.0 2006-01-27 14:06:02.0 2006-01-27 14:06:02.0 33 33 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 69 293099 tyU2s0MBzm Unit CTA1_14, Section CTA1_14-4 2PTFB18 1 R4C1 2006-02-09 13:56:02.0 2006-02-09 13:56:17.0 2006-02-09 13:56:17.0 2006-02-09 13:56:17.0 15 15 1 0 0 1 Entering a given 498 293351 tyU2s0MBzm Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLT3X+5 1 GraphChoice1 2006-02-13 14:01:33.0 2006-02-13 14:01:36.0 2006-02-13 14:01:36.0 2006-02-13 14:01:36.0 3 3 1 0 0 1 293645 tyU2s0MBzm Unit CTA1_15, Section CTA1_15-3 SYS07 1 3000-120X = 1500 2006-02-17 12:07:06.0 2006-02-17 12:07:13.0 2006-02-17 12:07:13.0 2006-02-17 12:07:13.0 7 7 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 448 293880 tyU2s0MBzm Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE2TRE 1 R2C1 2006-02-24 09:38:15.0 2006-02-24 09:38:22.0 2006-02-24 09:38:22.0 2006-02-24 09:38:22.0 7 7 1 0 0 1 Identifying units 291 294033 tyU2s0MBzm Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR49 1 2x^2+5x+3 2006-03-03 10:11:36.0 2006-03-03 10:11:43.0 2006-03-03 10:11:43.0 2006-03-03 10:11:43.0 7 7 1 0 0 1 294288 tyU2s0MBzm Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR11 1 5x^2+6x+1 = 0 2006-03-07 11:35:24.0 2006-03-07 11:35:29.0 2006-03-07 11:35:29.0 2006-03-07 11:35:29.0 5 5 1 0 0 1 294641 tyU2s0MBzm Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD7TRE 1 R4C2 2006-03-13 10:15:01.0 2006-03-13 10:15:22.0 2006-03-13 10:15:22.0 2006-03-13 10:15:22.0 21 21 1 0 0 1 Entering a given~~Entering a given quadratic value 637~~39 294789 tyU2s0MBzm Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 constant factors2R1 2006-03-16 09:57:00.0 2006-03-16 09:57:03.0 2006-03-16 09:57:03.0 2006-03-16 09:57:03.0 3 3 1 0 0 1 294922 tyU2s0MBzm Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 2 row1-D-y 2006-03-16 13:57:26.0 2006-03-16 13:57:30.0 2006-03-16 13:57:30.0 2006-03-16 13:57:30.0 4 4 1 0 0 1 295310 tyU2s0MBzm Unit CTA1_20, Section CTA1_20-2 2PTFB19 1 R3C2 2006-03-24 09:46:03.0 2006-03-24 09:46:57.0 2006-03-24 09:47:15.0 2006-03-24 09:47:15.0 72 72 0 2 0 1 Using small numbers~~Using difficult numbers~~Write expression, two points 439~~204~~20 295483 tyU2s0MBzm Unit CTA1_21, Section CTA1_21-2 BH1T49 1 Formula 1 Coeff 1 2006-03-24 14:09:17.0 2006-03-24 14:09:21.0 2006-03-24 14:09:23.0 2006-03-24 14:09:23.0 6 6 0 1 0 1 Setting the slope 28 295764 tyU2s0MBzm Unit CTA1_22, Section CTA1_22-1 SYSFB20 1 R1C2 2006-03-31 10:14:23.0 2006-03-31 10:14:44.0 2006-03-31 10:14:44.0 2006-03-31 10:14:44.0 21 21 1 0 0 1 295865 tyU2s0MBzm Unit ES_06, Section ES_06-1 EG63A 2 -940.79-671.83(x-239.83) = -143.69+645.36x*(-562/(363x)+852.66) 2006-04-03 13:15:34.0 2006-04-03 13:16:01.0 2006-04-03 13:16:01.0 2006-04-03 13:16:01.0 27 27 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 518 295944 tyU2s0MBzm Unit CTA1_24, Section CTA1_24-1 PERCENT07 1 R3C2 2006-04-06 10:06:35.0 2006-04-06 10:06:50.0 2006-04-06 10:06:50.0 2006-04-06 10:06:50.0 15 15 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 468~~180~~248 296134 tyU2s0MBzm Unit CTA1_25, Section CTA1_25-1 PROP11 1 R3C1 2006-04-11 12:47:30.0 2006-04-11 12:47:34.0 2006-04-11 12:47:34.0 2006-04-11 12:47:34.0 4 4 1 0 0 1 Define Variable 248 296321 tyU2s0MBzm Unit CTA1_26, Section CTA1_26-1 L3NOV08 1 yMax 2006-04-20 14:12:04.0 2006-04-20 14:12:08.0 2006-04-20 14:12:08.0 2006-04-20 14:12:08.0 4 4 1 0 0 1 Changing axis bounds 289 296526 tyU2s0MBzm Unit CTA1_27, Section CTA1_27-1 REAL02 2 ValidEquations 2006-04-21 11:42:55.0 2006-04-21 11:43:11.0 2006-04-21 11:43:11.0 2006-04-21 11:43:11.0 16 16 1 0 0 2 297746 tyU2s0MBzm Unit QuadLinearFuncTrans, Section QLFuncTrans11 TRANSFORMN029 1 ParentCurveChoice 2006-04-27 13:24:33.0 2006-04-27 13:24:35.0 2006-04-27 13:24:35.0 2006-04-27 13:24:35.0 1 1 1 0 0 1 Identify Parent Curve 113 298011 X5eS5kvC8h Unit CTA1_01, Section CTA1_01-4 L1FB12 1 R5C1 2005-09-09 09:00:31.0 2005-09-09 09:00:42.0 2005-09-09 09:00:42.0 2005-09-09 09:00:42.0 11 11 1 0 0 1 Entering a given 36 298283 X5eS5kvC8h Unit CTA1_02, Section CTA1_02-4 REAL19 1 R3C1 2005-09-23 08:56:58.0 2005-09-23 08:57:03.0 2005-09-23 08:57:03.0 2005-09-23 08:57:03.0 5 5 1 0 0 1 Define Variable 29 298480 X5eS5kvC8h Unit ES_01, Section ES_01-6 EG21 6 6+x-6 = -9-6 2005-09-29 08:49:27.0 2005-09-29 08:49:33.0 2005-09-29 08:49:33.0 2005-09-29 08:49:33.0 6 6 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 38 298689 X5eS5kvC8h Unit CTA1_04, Section CTA1_04-2 BH1T32 1 R1C1 2005-10-07 08:55:31.0 2005-10-07 08:55:57.0 2005-10-07 08:55:57.0 2005-10-07 08:55:57.0 26 26 1 0 0 1 298964 X5eS5kvC8h Unit ES_02, Section ES_02-6 EG40 1 -9-3x+9 = 10+9 2005-10-17 08:43:58.0 2005-10-17 08:44:25.0 2005-10-17 08:46:05.0 2005-10-17 08:46:53.0 175 175 0 7 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 12 299138 X5eS5kvC8h Unit CTA1_13, Section CTA1_13-1 PROP12 1 R1C2 2005-10-28 08:43:57.0 2005-10-28 08:45:24.0 2005-10-28 08:46:00.0 2005-10-28 08:46:00.0 123 123 0 1 0 1 299704 X5eS5kvC8h Unit CTA1_06, Section CTA1_06-5 FBSMR3 2 0.99-0.05X = 0.44 2005-12-02 10:00:17.0 2005-12-02 10:00:26.0 2005-12-02 10:00:45.0 2005-12-02 10:00:45.0 28 28 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 97 300093 X5eS5kvC8h Unit ES_03, Section ES_03-8 LIT11A 2 constant terms1R1 2005-12-20 10:00:18.0 2005-12-20 10:00:22.0 2005-12-20 10:00:22.0 2005-12-20 10:00:22.0 4 4 1 0 0 1 300221 X5eS5kvC8h Unit CTA1_08, Section CTA1_08-3 DEC04 1 R3C1 2006-01-03 10:03:47.0 2006-01-03 10:03:49.0 2006-01-03 10:03:49.0 2006-01-03 10:03:49.0 2 2 1 0 0 1 Define Variable 88 300575 X5eS5kvC8h Unit ES_04, Section ES_04-16 LIT55 1 (y-3)/m = x-7 2006-01-20 10:03:22.0 2006-01-20 10:03:35.0 2006-01-20 10:03:53.0 2006-01-20 10:03:53.0 31 31 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 198 300757 X5eS5kvC8h Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 R3C1 2006-01-27 10:13:40.0 2006-01-27 10:13:46.0 2006-01-27 10:13:46.0 2006-01-27 10:13:46.0 6 6 1 0 0 1 Define Variable 103 300973 X5eS5kvC8h Unit ES_07, Section ES_07-4 LIT67A 1 FinalAnswer 2006-02-10 07:39:09.0 2006-02-10 07:39:34.0 2006-02-10 07:39:34.0 2006-02-10 07:41:42.0 31 31 1 0 0 2 simplify-fractions-sp~~factor-sp 6~~6 301302 X5eS5kvC8h Unit CTA1_12, Section CTA1_12-5 SYSFB05 1 -120X = -602 2006-02-24 09:57:03.0 2006-02-24 09:57:13.0 2006-02-24 09:57:13.0 2006-02-24 09:57:13.0 10 10 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 298~~68 301561 X5eS5kvC8h Unit ES_05, Section ES_05-9 EG62A 2 246.98y = -11148.9 2006-03-03 09:56:52.0 2006-03-03 09:57:04.0 2006-03-03 09:57:04.0 2006-03-03 09:57:04.0 12 12 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 133~~338 301924 X5eS5kvC8h Unit CTA1_14, Section CTA1_14-4 LDEMO_PTPT 2 2X = 36 2006-03-24 09:43:51.0 2006-03-24 09:43:58.0 2006-03-24 09:43:58.0 2006-03-24 09:43:58.0 7 7 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 153~~383 302206 X5eS5kvC8h Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-2X-2YGE9 1 ShadeButton1 2006-03-31 10:10:18.0 2006-03-31 10:10:35.0 2006-03-31 10:10:35.0 2006-03-31 10:10:35.0 17 17 1 0 0 1 Shading greater than~~Including the line when shading~~Shading GLF equation with negative slope 8~~8~~3 302505 X5eS5kvC8h Unit CTA1_15, Section CTA1_15-3 SYS06 1 R3C3 2006-04-21 08:46:08.0 2006-04-21 08:46:56.0 2006-04-21 08:46:56.0 2006-04-21 08:46:56.0 48 48 1 0 0 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 358~~133~~196 302762 X5eS5kvC8h Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE8TRE 1 xScale 2006-04-28 09:04:54.0 2006-04-28 09:04:58.0 2006-04-28 09:04:58.0 2006-04-28 09:05:13.0 8 8 1 0 0 2 Changing axis intervals 133 302832 X5eS5kvC8h Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR22 1 c-factor-1 2006-05-01 08:54:21.0 2006-05-01 08:54:29.0 2006-05-01 08:54:29.0 2006-05-01 08:54:29.0 8 8 1 0 0 1 303137 X5eS5kvC8h Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR13 1 c-factor-node 2006-05-12 10:05:01.0 2006-05-12 10:05:02.0 2006-05-12 10:05:02.0 2006-05-12 10:05:02.0 1 1 1 0 0 1 303414 X5eS5kvC8h Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD7TRE 1 (-1000-sqrt(1000^2-4*-16*50))/(2*-16) = x 2006-06-05 09:57:18.0 2006-06-05 09:57:26.0 2006-06-05 09:57:26.0 2006-06-05 09:57:26.0 8 8 1 0 0 1 303446 X5eS5kvC8h Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 y1R1 2006-06-06 08:45:46.0 2006-06-06 08:45:48.0 2006-06-06 08:45:48.0 2006-06-06 08:45:48.0 2 2 1 0 0 1 303516 X5eS5kvC8h Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 2 3*1/x*(y^2) 2006-06-06 09:13:13.0 2006-06-06 09:13:24.0 2006-06-06 09:13:24.0 2006-06-06 09:13:33.0 20 20 1 0 0 2 303529 X5eS5kvC8h Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS08 1 FinalAnswer 2006-06-06 09:38:32.0 2006-06-06 09:38:46.0 2006-06-06 09:38:46.0 2006-06-06 09:38:46.0 14 14 1 0 0 1 perform-mult-sp 61 303704 y4Vg256UzB Unit CTA1_01, Section CTA1_01-3 REAL20 1 R2C2 2005-10-03 09:01:10.0 2005-10-03 09:01:14.0 2005-10-03 09:01:22.0 2005-10-03 09:01:22.0 12 12 0 0 2 1 Identifying units 21 304135 y4Vg256UzB Unit CTA1_02, Section CTA1_02-4 REAL19A 1 R7C2 2005-11-04 10:19:57.0 2005-11-04 10:20:25.0 2005-11-04 10:20:43.0 2005-11-04 10:20:43.0 45 45 0 2 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 168~~90~~22 304382 y4Vg256UzB Unit ES_01, Section ES_01-6 EG21 10 x = 9-5 2005-11-21 10:04:36.0 2005-11-21 10:04:41.0 2005-11-21 10:04:41.0 2005-11-21 10:04:41.0 5 5 1 0 0 1 [SkillRule: Select Combine Terms; CLT]~~[SkillRule: Consolidate vars, no coeff; CLT] 31~~52 304672 y4Vg256UzB Unit CTA1_04, Section CTA1_04-2 BH1T32C 1 R7C2 2006-02-28 15:02:50.0 2006-02-28 15:02:59.0 2006-02-28 15:02:59.0 2006-02-28 15:02:59.0 9 9 1 0 0 1 Entering a given 189 305350 y4Vg256UzB Unit ES_02, Section ES_02-10 EG44 6 -5/x*x = -5x 2006-03-31 09:45:03.0 2006-03-31 09:45:08.0 2006-03-31 09:45:08.0 2006-03-31 09:45:19.0 16 16 1 0 0 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 43 305440 y4Vg256UzB Unit CTA1_13, Section CTA1_13-1 PROP01 1 R3C1 2006-04-12 09:49:05.0 2006-04-12 09:49:49.0 2006-04-12 09:49:53.0 2006-04-12 09:49:53.0 48 48 0 1 0 1 Define Variable 69 305789 y4Vg256UzB Unit CTA1_06, Section CTA1_06-2 JAN03 1 R1C1 2006-05-19 08:59:45.0 2006-05-19 09:00:00.0 2006-05-19 09:00:39.0 2006-05-19 09:00:39.0 54 54 0 1 0 1 306053 y5009rpZ12 Unit CTA1_01, Section CTA1_01-3 REAL20C 1 R6C2 2005-09-07 08:58:47.0 2005-09-07 08:58:56.0 2005-09-07 08:58:56.0 2005-09-07 08:58:56.0 9 9 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 56~~32~~9 306258 y5009rpZ12 Unit CTA1_02, Section CTA1_02-3 L3NOV10C 2 xMax 2005-09-12 08:37:07.0 2005-09-12 08:37:26.0 2005-09-12 08:37:26.0 2005-09-12 08:37:26.0 19 19 1 0 0 2 Changing axis bounds 17 306509 y5009rpZ12 Unit ES_01, Section ES_01-8 EG23 1 -6/3 = 3y/3 2005-09-16 08:52:01.0 2005-09-16 08:52:11.0 2005-09-16 08:52:11.0 2005-09-16 08:53:32.0 20 20 1 0 0 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 3 306830 y5009rpZ12 Unit CTA1_04, Section CTA1_04-3 PERCENT14 1 R2C1 2005-09-29 08:50:16.0 2005-09-29 08:50:25.0 2005-09-29 08:50:25.0 2005-09-29 08:50:25.0 9 9 1 0 0 1 Identifying units 69 307146 y5009rpZ12 Unit ES_02, Section ES_02-8 EG41 5 -17*7 = y/7*7 2005-10-03 08:57:04.0 2005-10-03 08:57:07.0 2005-10-03 08:57:07.0 2005-10-03 08:57:37.0 33 33 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 13 307272 y5009rpZ12 Unit CTA1_13, Section CTA1_13-1 PROP02 1 R4C1 2005-10-11 09:01:18.0 2005-10-11 09:01:27.0 2005-10-11 09:01:27.0 2005-10-11 09:01:27.0 9 9 1 0 0 1 Entering a given 186 307868 y5009rpZ12 Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 R7C1 2005-10-28 09:07:54.0 2005-10-28 09:08:02.0 2005-10-28 09:08:02.0 2005-10-28 09:08:02.0 8 8 1 0 0 1 Entering a given 294 308259 y5009rpZ12 Unit ES_03, Section ES_03-8 LIT17A 1 r1R1 2005-11-11 09:45:56.0 2005-11-11 09:46:00.0 2005-11-11 09:46:00.0 2005-11-11 09:46:00.0 4 4 1 0 0 1 308432 y5009rpZ12 Unit CTA1_08, Section CTA1_08-2 REAL31 1 R3C2 2005-11-18 09:56:03.0 2005-11-18 09:56:53.0 2005-11-18 09:57:12.0 2005-11-18 09:57:12.0 69 69 0 2 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 191~~195~~72 308859 y5009rpZ12 Unit ES_04, Section ES_04-16 LIT58A 1 7+z*(c+q)-7 = s+g-7 2005-12-01 11:13:58.0 2005-12-01 11:14:10.0 2005-12-01 11:14:10.0 2005-12-01 11:14:18.0 20 20 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 57 309115 y5009rpZ12 Unit CTA1_10, Section CTA1_10-4 FOR08_SP 1 R6C1 2005-12-12 14:27:18.0 2005-12-12 14:27:26.0 2005-12-12 14:27:26.0 2005-12-12 14:27:26.0 8 8 1 0 0 1 Entering a given 354 309399 y5009rpZ12 Unit ES_07, Section ES_07-4 LIT62A 1 di-expr 2005-12-20 10:04:44.0 2005-12-20 10:04:48.0 2005-12-20 10:04:48.0 2005-12-20 10:04:48.0 4 4 1 0 0 1 309725 y5009rpZ12 Unit CTA1_12, Section CTA1_12-5 SYSFB25 1 YLabel 2006-01-09 09:59:36.0 2006-01-09 09:59:38.0 2006-01-09 09:59:38.0 2006-01-09 09:59:38.0 2 2 1 0 0 1 Labelling the axes 132 310069 y5009rpZ12 Unit ES_05, Section ES_05-9 EG62A 2 -64.07y-833.41 = -2083.98 2006-01-27 09:55:22.0 2006-01-27 09:55:33.0 2006-01-27 09:55:33.0 2006-01-27 09:55:33.0 11 11 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 311~~61 310454 y5009rpZ12 Unit CTA1_14, Section CTA1_14-4 TPH15 1 R1C1 2006-02-24 10:02:26.0 2006-02-24 10:03:46.0 2006-02-24 10:03:46.0 2006-02-24 10:03:46.0 80 80 1 0 0 1 310865 y5009rpZ12 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGE4X-11 1 GraphChoice1 2006-03-06 10:12:46.0 2006-03-06 10:13:26.0 2006-03-06 10:13:26.0 2006-03-06 10:13:32.0 46 46 1 0 0 2 311283 y5009rpZ12 Unit CTA1_15, Section CTA1_15-3 SYS09 1 xMax 2006-03-13 09:52:08.0 2006-03-13 09:52:17.0 2006-03-13 09:52:17.0 2006-03-13 09:52:17.0 9 9 1 0 0 1 Changing axis bounds 190 311481 y5009rpZ12 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE7TRE 1 R4C3 2006-03-20 10:07:55.0 2006-03-20 10:07:57.0 2006-03-20 10:07:57.0 2006-03-20 10:07:57.0 2 2 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope~~Entering a computed linear value 391~~356~~54~~17 311509 y5009rpZ12 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR01 2 x^2+7x+10 2006-03-21 03:16:11.0 2006-03-21 03:16:55.0 2006-03-21 03:19:29.0 2006-03-21 03:20:13.0 242 242 0 0 3 1 311531 y5009rpZ12 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE8TRE 3 yMax 2006-03-21 13:25:14.0 2006-03-21 13:26:05.0 2006-03-21 13:26:05.0 2006-03-21 13:26:05.0 51 51 1 0 0 2 Changing axis bounds 208 311713 y5009rpZ12 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR21 1 FinalAnswer 2006-04-06 09:00:57.0 2006-04-06 09:01:20.0 2006-04-06 09:01:20.0 2006-04-06 09:01:20.0 23 23 1 0 0 1 factor-quadratic-sp 24 312002 y5009rpZ12 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR17 1 (-6-sqrt(36))/6 = x 2006-04-11 13:24:47.0 2006-04-11 13:24:52.0 2006-04-11 13:24:52.0 2006-04-11 13:24:52.0 5 5 1 0 0 1 [SkillRule: Apply Exponent; {Expand Exponents; eval radical; Expand Exponents, radical}] 21 312406 y5009rpZ12 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD7TRE 1 XLabel 2006-04-28 10:17:50.0 2006-04-28 10:18:00.0 2006-04-28 10:18:00.0 2006-04-28 10:18:00.0 10 10 1 0 0 1 Labelling the axes 179 312497 y5009rpZ12 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 xR2 2006-05-01 10:02:52.0 2006-05-01 10:02:57.0 2006-05-01 10:02:57.0 2006-05-01 10:02:57.0 5 5 1 0 0 1 perform-mult-row2-sp 21 312891 y5009rpZ12 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 5 row1-N-y 2006-05-08 09:43:49.0 2006-05-08 09:43:52.0 2006-05-08 09:43:52.0 2006-05-08 09:43:52.0 3 3 1 0 0 1 313099 y5009rpZ12 Unit CTA1_20, Section CTA1_20-2 2PTFB22 1 4.8Y+387 = 450 2006-05-12 10:23:26.0 2006-05-12 10:23:32.0 2006-05-12 10:23:32.0 2006-05-12 10:23:32.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 431 313440 y5009rpZ12 Unit CTA1_21, Section CTA1_21-3 JAN07 2 yScale 2006-05-26 09:38:18.0 2006-05-26 09:38:21.0 2006-05-26 09:38:21.0 2006-05-26 09:39:02.0 10 10 1 0 0 3 Changing axis intervals 172 313535 y5009rpZ12 Unit CTA1_22, Section CTA1_22-1 SYSFB13 1 yScale 2006-05-26 12:29:07.0 2006-05-26 12:30:03.0 2006-05-26 12:30:03.0 2006-05-26 12:30:03.0 56 56 1 0 0 1 Changing axis intervals 177 313711 yB480DNZ70 Unit CTA1_01, Section CTA1_01-3 BH1T19 1 R5C1 2005-09-15 12:01:09.0 2005-09-15 12:01:14.0 2005-09-15 12:01:14.0 2005-09-15 12:01:14.0 5 5 1 0 0 1 Entering a given 41 314108 yB480DNZ70 Unit CTA1_02, Section CTA1_02-4 L2FB14C 1 yMax 2005-10-17 08:58:04.0 2005-10-17 08:58:17.0 2005-10-17 08:58:28.0 2005-10-17 08:58:55.0 37 37 0 2 0 4 Changing axis bounds 37 314337 yB480DNZ70 Unit ES_01, Section ES_01-9 EG25 2 -3*6 = y/6*6 2005-10-20 12:17:25.0 2005-10-20 12:18:08.0 2005-10-20 12:18:16.0 2005-10-20 12:24:43.0 438 438 0 6 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 2 314543 yB480DNZ70 Unit CTA1_04, Section CTA1_04-3 DEC01C 1 0.5S+3 = 23.5 2005-10-25 12:15:10.0 2005-10-25 12:15:16.0 2005-10-25 12:15:16.0 2005-10-25 12:15:16.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 48 314799 yB480DNZ70 Unit ES_02, Section ES_02-5 EG40 19 2/3 = 9y/9 2005-10-27 12:19:12.0 2005-10-27 12:19:20.0 2005-10-27 12:19:25.0 2005-10-27 12:19:25.0 13 13 0 1 0 1 315007 yB480DNZ70 Unit CTA1_13, Section CTA1_13-1 PROP13 1 R5C1 2005-10-28 08:43:15.0 2005-10-28 08:43:41.0 2005-10-28 08:43:41.0 2005-10-28 08:43:41.0 26 26 1 0 0 1 Entering a given~~Convert unit, standard 186~~22 315035 yB480DNZ70 Unit CTA1_06, Section CTA1_06-2 FEB05 1 R1C1 2005-10-28 09:13:10.0 2005-10-28 09:13:49.0 2005-10-28 09:13:49.0 2005-10-28 09:13:49.0 39 39 1 0 0 1 315085 yB480DNZ70 Unit CTA1_13, Section CTA1_13-1 PROP06 1 R7C1 2005-10-28 09:40:04.0 2005-10-28 09:40:10.0 2005-10-28 09:40:10.0 2005-10-28 09:40:10.0 6 6 1 0 0 1 Entering a given 211 315747 yB480DNZ70 Unit CTA1_06, Section CTA1_06-4 BH1T51 1 xMin 2005-12-16 10:10:19.0 2005-12-16 10:11:40.0 2005-12-16 10:11:44.0 2005-12-16 10:11:44.0 85 85 0 1 0 2 Changing axis bounds 120 316218 yB480DNZ70 Unit ES_03, Section ES_03-7 LIT5 1 m/q = x 2006-01-27 09:49:37.0 2006-01-27 09:50:03.0 2006-01-27 09:50:03.0 2006-01-27 09:50:03.0 26 26 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 210 316514 yB480DNZ70 Unit CTA1_08, Section CTA1_08-3 PERCENT12 4 yMax 2006-02-06 09:39:33.0 2006-02-06 09:39:39.0 2006-02-06 09:39:39.0 2006-02-06 09:39:39.0 6 6 1 0 0 1 Changing axis bounds 161 317036 yB480DNZ70 Unit ES_04, Section ES_04-14 LIT22A 4 row1-N-c-z 2006-02-27 09:58:25.0 2006-02-27 09:58:27.0 2006-02-27 09:58:27.0 2006-02-27 10:00:16.0 5 5 1 0 0 2 317534 yB480DNZ70 Unit CTA1_10, Section CTA1_10-6 DISTFB13_SP 1 R2C1 2006-03-08 14:51:21.0 2006-03-08 14:51:25.0 2006-03-08 14:51:25.0 2006-03-08 14:51:25.0 4 4 1 0 0 1 Identifying units 185 318203 yB480DNZ70 Unit ES_07, Section ES_07-4 LIT70A 4 6u-r*u-r*w-6u = x*s-6u 2006-03-24 12:14:26.0 2006-03-24 12:16:13.0 2006-03-24 12:16:13.0 2006-03-24 12:16:25.0 119 119 1 0 0 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]]~~[SkillRule: Consolidate vars with coeff; CLT] 136~~217 318942 yB480DNZ70 Unit CTA1_12, Section CTA1_12-6 SYS01 3 3C = 630 2006-05-08 09:55:06.0 2006-05-08 09:55:25.0 2006-05-08 09:56:28.0 2006-05-08 09:56:28.0 82 82 0 2 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 174~~430 319279 yB480DNZ70 Unit ES_05, Section ES_05-6 EG60 7 9x-2 = -8x-4+4 2006-05-26 10:20:24.0 2006-05-26 10:20:28.0 2006-05-26 10:20:28.0 2006-05-26 10:20:28.0 4 4 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 273 319547 z1iLCTB32T Unit CTA1_01, Section CTA1_01-3 L3NOV07A 1 R4C2 2005-09-26 09:16:53.0 2005-09-26 09:17:04.0 2005-09-26 09:20:43.0 221 221 0 14 4 0 Using simple numbers~~Using large numbers~~Find Y, negative slope 64~~38~~10 319960 z1iLCTB32T Unit CTA1_02, Section CTA1_02-4 REAL28 1 R4C2 2005-11-18 09:43:49.0 2005-11-18 09:44:03.0 2005-11-18 09:44:03.0 2005-11-18 09:44:03.0 14 14 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, negative slope 173~~82~~26 320254 z1iLCTB32T Unit ES_01, Section ES_01-10 EG27 1 -1 = -y/-1 2005-11-29 15:10:59.0 2005-11-29 15:11:04.0 2005-11-29 15:11:04.0 2005-11-29 15:11:04.0 5 5 1 0 0 1 320513 z1iLCTB32T Unit CTA1_04, Section CTA1_04-4 L5FB04A 1 -33-1.5J = -60 2005-12-06 15:20:32.0 2005-12-06 15:20:49.0 2005-12-06 15:21:05.0 2005-12-06 15:21:05.0 33 33 0 2 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 37~~4 321053 z1iLCTB32T Unit ES_02, Section ES_02-10 EG44 1 -8 = 1x 2006-01-24 10:00:04.0 2006-01-24 10:00:08.0 2006-01-24 10:00:08.0 4 4 0 1 0 0 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 41~~127 321191 z1iLCTB32T Unit CTA1_13, Section CTA1_13-1 PROP10 1 R2C1 2006-01-25 14:49:41.0 2006-01-25 14:49:51.0 2006-01-25 14:49:51.0 2006-01-25 14:49:51.0 10 10 1 0 0 1 Identifying units 93 321717 z1iLCTB32T Unit CTA1_06, Section CTA1_06-4 L6FB07 1 R3C2 2006-02-10 09:41:21.0 2006-02-10 09:41:31.0 2006-02-10 09:41:54.0 2006-02-10 09:41:54.0 33 33 0 1 3 1 Write expression, positive slope~~Using large numbers~~Using difficult numbers 77~~118~~121 322516 z1iLCTB32T Unit ES_03, Section ES_03-6 EG51 3 constant terms1R1 2006-03-03 10:06:31.0 2006-03-03 10:06:33.0 2006-03-03 10:06:33.0 2006-03-03 10:06:33.0 2 2 1 0 0 1 322942 z1iLCTB32T Unit CTA1_08, Section CTA1_08-3 FEB08 1 Slope Field 1 2006-03-10 09:55:07.0 2006-03-10 09:55:09.0 2006-03-10 09:55:09.0 2006-03-10 09:55:09.0 2 2 1 0 0 1 Entering the slope 18 323446 z1iLCTB32T Unit ES_04, Section ES_04-12 EG58 2 9 = 5x+4*-6x+4*-4 2006-03-24 10:10:04.0 2006-03-24 10:10:08.0 2006-03-24 10:10:14.0 2006-03-24 10:10:14.0 10 10 0 1 0 1 324005 z1iLCTB32T Unit CTA1_10, Section CTA1_10-4 DIST02_SP 1 R7C2 2006-04-03 09:44:26.0 2006-04-03 09:44:34.0 2006-04-03 09:44:34.0 2006-04-03 09:44:34.0 8 8 1 0 0 1 Entering a given 404 324578 z1iLCTB32T Unit ES_07, Section ES_07-4 LIT64A 2 y*j2R1 2006-04-18 14:45:06.0 2006-04-18 14:45:10.0 2006-04-18 14:45:10.0 2006-04-18 14:45:10.0 4 4 1 0 0 1 325130 z1iLCTB32T Unit CTA1_12, Section CTA1_12-5 SYSFB24 1 R4C1 2006-05-01 09:53:22.0 2006-05-01 09:53:25.0 2006-05-01 09:53:25.0 2006-05-01 09:53:25.0 3 3 1 0 0 1 Entering a given 466 325663 z1iLCTB32T Unit ES_05, Section ES_05-8 EG61 5 xR2 2006-06-06 09:35:18.0 2006-06-06 09:35:24.0 2006-06-06 09:35:24.0 2006-06-06 09:38:10.0 8 8 1 0 0 2 325870 50r4Tfl105 Unit CTA1_01, Section CTA1_01-2 RXMX1C 1 R3C2 2005-09-08 13:35:15.0 2005-09-08 13:35:20.0 2005-09-08 13:35:20.0 2005-09-08 13:35:20.0 5 5 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 11~~11~~3 326013 5x5fHvFFLv Unit CTA1_01, Section CTA1_01-3 JAN11A 1 R2C1 2005-09-12 13:14:24.0 2005-09-12 13:14:30.0 2005-09-12 13:14:30.0 2005-09-12 13:14:30.0 6 6 1 0 0 1 Identifying units 20 326211 5x5fHvFFLv Unit CTA1_02, Section CTA1_02-3 L3NOV10C 3 R4C2 2005-09-14 13:25:57.0 2005-09-14 13:26:14.0 2005-09-14 13:26:14.0 2005-09-14 13:26:14.0 17 17 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 101~~41~~36 326433 5x5fHvFFLv Unit ES_01, Section ES_01-9 EG24 1 -10y/-10 = 0/-10 2005-09-16 13:17:04.0 2005-09-16 13:17:08.0 2005-09-16 13:17:08.0 2005-09-16 13:17:15.0 11 11 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 2 326584 5x5fHvFFLv Unit CTA1_04, Section CTA1_04-3 PERCENT14B 1 ValidEquations 2005-09-20 13:17:33.0 2005-09-20 13:17:44.0 2005-09-20 13:17:44.0 2005-09-20 13:18:10.0 19 19 1 0 0 3 326780 5x5fHvFFLv Unit ES_02, Section ES_02-9 EG44 1 -2/4 = 4y/4 2005-09-23 13:19:24.0 2005-09-23 13:19:34.0 2005-09-23 13:19:34.0 2005-09-23 13:19:34.0 10 10 1 0 0 1 326901 5x5fHvFFLv Unit CTA1_13, Section CTA1_13-1 PROP01 1 R3C2 2005-09-27 13:13:26.0 2005-09-27 13:13:36.0 2005-09-27 13:13:36.0 2005-09-27 13:13:36.0 10 10 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 114~~42~~46 327138 5x5fHvFFLv Unit CTA1_06, Section CTA1_06-4 L6FB07 1 R4C1 2005-09-28 13:23:30.0 2005-09-28 13:23:37.0 2005-09-28 13:23:37.0 2005-09-28 13:23:37.0 7 7 1 0 0 1 Entering a given 224 327445 5x5fHvFFLv Unit ES_03, Section ES_03-7 LIT11 1 2-m = s 2005-12-01 13:30:44.0 2005-12-01 13:31:00.0 2005-12-01 13:31:00.0 2005-12-01 13:31:00.0 16 16 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 84 327678 5x5fHvFFLv Unit CTA1_08, Section CTA1_08-3 FEB08 1 YLabel 2005-12-01 14:17:12.0 2005-12-01 14:17:16.0 2005-12-01 14:17:16.0 2005-12-01 14:17:16.0 4 4 1 0 0 1 Labelling the axes 89 327874 5x5fHvFFLv Unit ES_04, Section ES_04-11 EG58A 1 -495y-2160-50y = 30 2006-05-18 11:39:46.0 2006-05-18 11:39:51.0 2006-05-18 11:39:51.0 2006-05-18 11:39:51.0 5 5 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 63 328123 8d194g9ccT Unit CTA1_01, Section CTA1_01-3 JAN11B 1 R4C1 2005-11-17 13:07:49.0 2005-11-17 13:07:58.0 2005-11-17 13:07:58.0 2005-11-17 13:07:58.0 9 9 1 0 0 1 Entering a given 43 328409 8d194g9ccT Unit CTA1_02, Section CTA1_02-4 BH1T29C 1 R4C1 2005-11-22 13:24:02.0 2005-11-22 13:24:06.0 2005-11-22 13:24:06.0 2005-11-22 13:24:06.0 4 4 1 0 0 1 Entering a given 98 328700 8d194g9ccT Unit ES_01, Section ES_01-9 EG25 2 pm-r-den-node 2005-11-30 13:19:28.0 2005-11-30 13:19:30.0 2005-11-30 13:19:30.0 2005-11-30 13:19:30.0 2 2 1 0 0 1 328865 8d194g9ccT Unit CTA1_04, Section CTA1_04-2 BH1T02 1 R5C1 2005-12-02 13:04:25.0 2005-12-02 13:04:27.0 2005-12-02 13:04:36.0 2005-12-02 13:04:36.0 11 11 0 1 0 1 Entering a given 150 329236 8d194g9ccT Unit ES_02, Section ES_02-9 EG44 4 5/x = 9 2005-12-12 13:08:56.0 2005-12-12 13:09:04.0 2005-12-12 13:09:04.0 2005-12-12 13:09:04.0 8 8 1 0 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 4 329359 8d194g9ccT Unit CTA1_13, Section CTA1_13-1 PROP01 1 R3C2 2005-12-19 12:58:58.0 2005-12-19 12:59:15.0 2005-12-19 12:59:15.0 2005-12-19 12:59:15.0 17 17 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 137~~50~~58 329763 8d194g9ccT Unit CTA1_06, Section CTA1_06-3 BH1T43 1 R2C1 2006-01-05 12:55:01.0 2006-01-05 12:55:05.0 2006-01-05 12:55:05.0 2006-01-05 12:55:05.0 4 4 1 0 0 1 Identifying units 109 330376 8d194g9ccT Unit ES_03, Section ES_03-8 LIT6A 1 s = g*-1 2006-01-13 12:54:12.0 2006-01-13 12:54:15.0 2006-01-13 12:54:15.0 2006-01-13 12:54:15.0 3 3 1 0 0 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] 28 330647 8d194g9ccT Unit CTA1_08, Section CTA1_08-3 JAN12 1 Formula 1 Coeff 1 2006-01-19 13:06:13.0 2006-01-19 13:06:17.0 2006-01-19 13:06:18.0 2006-01-19 13:06:18.0 5 5 0 2 0 1 Setting the slope 19 331002 8d194g9ccT Unit ES_04, Section ES_04-12 EG58 3 -44y-25+25 = 3+25 2006-03-23 14:16:57.0 2006-03-23 14:17:03.0 2006-03-23 14:17:03.0 2006-03-23 14:17:08.0 11 11 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 57 331226 EWHJMBPf94 Unit CTA1_01, Section CTA1_01-3 L3NOV07 1 R2C1 2006-01-20 13:33:16.0 2006-01-20 13:33:20.0 2006-01-20 13:33:20.0 2006-01-20 13:33:20.0 4 4 1 0 0 1 Identifying units 22 331435 EWHJMBPf94 Unit CTA1_02, Section CTA1_02-3 L3NOV10C 1 XLabel 2006-01-25 11:21:27.0 2006-01-25 11:21:32.0 2006-01-25 11:21:32.0 2006-01-25 11:21:32.0 5 5 1 0 0 1 Labelling the axes 12 331752 EWHJMBPf94 Unit ES_01, Section ES_01-10 EG27 2 -y/-1 = -1/-1 2006-01-27 11:45:33.0 2006-01-27 11:45:36.0 2006-01-27 11:45:43.0 2006-01-27 11:45:43.0 10 10 0 1 0 1 331950 EWHJMBPf94 Unit CTA1_04, Section CTA1_04-4 BH1T47A 1 R2C2 2006-02-01 11:08:28.0 2006-02-01 11:08:34.0 2006-02-01 11:08:34.0 2006-02-01 11:08:34.0 6 6 1 0 0 1 Identifying units 70 332177 EWHJMBPf94 Unit ES_02, Section ES_02-7 EG41 5 -40 = (y/-5-2)*-5 2006-02-02 11:21:05.0 2006-02-02 11:21:09.0 2006-02-02 11:21:09.0 2006-02-02 11:21:09.0 4 4 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 34 332467 EWHJMBPf94 Unit CTA1_13, Section CTA1_13-1 PROP06 1 R2C1 2006-02-08 11:28:21.0 2006-02-08 11:28:30.0 2006-02-08 11:28:30.0 2006-02-08 11:28:30.0 9 9 1 0 0 1 Identifying units 72 332885 EWHJMBPf94 Unit CTA1_06, Section CTA1_06-3 JAN06 1 ValidEquations 2006-02-13 11:03:13.0 2006-02-13 11:03:30.0 2006-02-13 11:03:30.0 2006-02-13 11:03:45.0 23 23 1 0 0 3 333500 EWHJMBPf94 Unit ES_03, Section ES_03-6 EG51A 1 constant termsR2 2006-02-22 11:03:30.0 2006-02-22 11:03:34.0 2006-02-22 11:03:34.0 2006-02-22 11:03:34.0 4 4 1 0 0 1 333789 EWHJMBPf94 Unit CTA1_08, Section CTA1_08-2 FEB02 1 Intercept Field 1 2006-02-28 11:27:42.0 2006-02-28 11:27:45.0 2006-02-28 11:27:45.0 2006-02-28 11:27:45.0 3 3 1 0 0 1 Entering the y-intercept 12 334416 EWHJMBPf94 Unit ES_04, Section ES_04-14 LIT34A 1 row1-N-v 2006-03-07 11:24:44.0 2006-03-07 11:24:48.0 2006-03-07 11:24:48.0 2006-03-07 11:24:48.0 4 4 1 0 0 1 334950 EWHJMBPf94 Unit CTA1_10, Section CTA1_10-4 DIST02_SP 1 R1C2 2006-03-20 11:05:33.0 2006-03-20 11:05:45.0 2006-03-20 11:05:45.0 2006-03-20 11:05:45.0 12 12 1 0 0 1 335398 EWHJMBPf94 Unit ES_07, Section ES_07-4 LIT67A 1 -d*w+w*g = f*h-w*g-b*c+w*g 2006-03-27 11:31:24.0 2006-03-27 11:31:34.0 2006-03-27 11:31:34.0 2006-03-27 11:31:48.0 24 24 1 0 0 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]]~~[SkillRule: Consolidate vars with coeff; CLT] 87~~122 335575 s39qS245G2 Unit CTA1_01, Section CTA1_01-3 L3NOV07B 1 R4C1 2006-05-17 09:10:53.0 2006-05-17 09:11:26.0 2006-05-17 09:11:30.0 2006-05-17 09:11:30.0 37 37 0 1 0 1 Entering a given 29 335921 s39qS245G2 Unit CTA1_02, Section CTA1_02-4 REAL19C 1 Point 1.2 2006-05-24 08:58:05.0 2006-05-24 08:59:12.0 2006-05-24 08:59:26.0 81 81 0 0 4 0 Correctly placing points 7 336086 s39qS245G2 Unit ES_01, Section ES_01-7 EG22 1 x = 8+10 2006-05-24 09:29:20.0 2006-05-24 09:29:24.0 2006-05-24 09:29:24.0 2006-05-24 09:29:24.0 4 4 1 0 0 1 [SkillRule: Select Combine Terms; CLT]~~[SkillRule: Consolidate vars, no coeff; CLT] 14~~24 336251 s39qS245G2 Unit CTA1_04, Section CTA1_04-2 BH1T10C 1 R2C1 2006-05-26 08:53:13.0 2006-05-26 08:53:22.0 2006-05-26 08:53:22.0 2006-05-26 08:53:22.0 9 9 1 0 0 1 Identifying units 60 336416 1kKxS8urAH Unit CTA1_01, Section CTA1_01-3 REAL20C 1 R5C2 2005-09-09 07:52:27.0 2005-09-09 07:52:34.0 2005-09-09 07:52:34.0 2005-09-09 07:52:34.0 7 7 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 40~~22~~7 336769 1kKxS8urAH Unit CTA1_02, Section CTA1_02-4 REAL28 1 yMin 2005-09-13 10:23:04.0 2005-09-13 10:23:09.0 2005-09-13 10:23:09.0 2005-09-13 10:23:09.0 5 5 1 0 0 1 Changing axis bounds 44 337121 1kKxS8urAH Unit ES_01, Section ES_01-9 EG26 1 -5*-3 = x/-3*-3 2005-09-23 07:54:23.0 2005-09-23 07:54:34.0 2005-09-23 07:54:34.0 2005-09-23 07:55:55.0 92 92 1 4 2 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 6 337381 1kKxS8urAH Unit CTA1_04, Section CTA1_04-3 PERCENT14C 1 R7C2 2005-09-26 08:06:13.0 2005-09-26 08:06:17.0 2005-09-26 08:06:22.0 2005-09-26 08:06:22.0 9 9 0 1 0 1 Entering a given 151 337938 1kKxS8urAH Unit ES_02, Section ES_02-10 EG44 2 row3-N--6x/x 2005-10-04 09:46:56.0 2005-10-04 09:47:02.0 2005-10-04 09:47:02.0 2005-10-04 09:47:02.0 6 6 1 0 0 1 338083 1kKxS8urAH Unit CTA1_13, Section CTA1_13-1 PROP06 1 R4C2 2005-10-05 10:05:38.0 2005-10-05 10:05:41.0 2005-10-05 10:05:41.0 2005-10-05 10:05:41.0 3 3 1 0 0 1 Entering a given 195 338684 1kKxS8urAH Unit CTA1_06, Section CTA1_06-4 L6FB19 2 R3C2 2005-10-18 09:37:48.0 2005-10-18 09:38:19.0 2005-10-18 09:39:34.0 2005-10-18 09:39:34.0 106 106 0 0 3 1 Write expression, positive slope~~Using large numbers~~Using difficult numbers 69~~100~~99 339209 1kKxS8urAH Unit ES_03, Section ES_03-7 LIT4 1 a*h/a = w/a 2005-10-25 10:20:04.0 2005-10-25 10:20:07.0 2005-10-25 10:20:07.0 2005-10-25 10:20:07.0 3 3 1 0 0 1 339532 1kKxS8urAH Unit CTA1_08, Section CTA1_08-3 REAL10 1 Slope Field 1 2005-10-27 09:39:36.0 2005-10-27 09:39:37.0 2005-10-27 09:39:37.0 2005-10-27 09:39:37.0 1 1 1 0 0 1 Entering the slope 15 340066 1kKxS8urAH Unit ES_04, Section ES_04-12 EG58A 11 -46 = -33(2x+31)-47x 2005-11-29 09:12:21.0 2005-11-29 09:12:24.0 2005-11-29 09:12:24.0 2005-11-29 09:12:24.0 3 3 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 102 340759 1kKxS8urAH Unit CTA1_10, Section CTA1_10-6 DISTFB12_SP 1 R5C2 2006-01-05 09:49:07.0 2006-01-05 09:49:11.0 2006-01-05 09:49:11.0 2006-01-05 09:49:11.0 4 4 1 0 0 1 Entering a given 404 341189 1kKxS8urAH Unit ES_07, Section ES_07-6 LIT71 2 row1-D-h 2006-01-27 08:58:30.0 2006-01-27 08:58:31.0 2006-01-27 08:58:31.0 2006-01-27 08:58:31.0 0.5 0.5 1 0 0 1 341674 1kKxS8urAH Unit CTA1_12, Section CTA1_12-5 SYSFB24 1 YLabel 2006-02-07 15:05:25.0 2006-02-07 15:13:25.0 2006-02-07 15:13:25.0 2006-02-07 15:13:25.0 480 480 1 0 0 1 Labelling the axes 149 342144 1kKxS8urAH Unit ES_05, Section ES_05-10 EG62 4 constant termsR2 2006-02-14 09:54:31.0 2006-02-14 09:55:18.0 2006-02-14 09:55:18.0 2006-02-14 09:55:18.0 47 47 1 0 0 1 342657 1kKxS8urAH Unit CTA1_14, Section CTA1_14-4 2PTFB16 1 ValidEquations 2006-03-20 09:06:40.0 2006-03-20 09:06:59.0 2006-03-20 09:06:59.0 2006-03-20 09:07:22.0 26 26 1 0 0 3 342999 1kKxS8urAH Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT5X+12 1 Formula 1 XIntercept 2006-04-03 07:49:16.0 2006-04-03 07:49:21.0 2006-04-03 07:49:28.0 2006-04-03 07:49:28.0 12 12 0 2 0 1 Placing coordinate point 52 343206 1kKxS8urAH Unit CTA1_15, Section CTA1_15-2 SYS05 2 xMax 2006-04-10 08:56:58.0 2006-04-10 08:57:17.0 2006-04-10 08:57:40.0 2006-04-10 08:57:40.0 33 33 0 2 0 2 Changing axis bounds 298 343656 1kKxS8urAH Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE3TRE 1 R7C2 2006-05-12 09:09:24.0 2006-05-12 09:09:26.0 2006-05-12 09:09:26.0 2006-05-12 09:09:26.0 2 2 1 0 0 1 Entering a computed linear value 58 343756 1kKxS8urAH Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR44 1 3x^2+17x+10 2006-05-15 09:12:18.0 2006-05-15 09:12:20.0 2006-05-15 09:12:20.0 2006-05-15 09:12:20.0 2 2 1 0 0 1 343910 1kKxS8urAH Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR07 1 -10/2 = x 2006-05-19 09:03:24.0 2006-05-19 09:03:35.0 2006-05-19 09:03:35.0 2006-05-19 09:03:35.0 11 11 1 0 0 1 344083 1kKxS8urAH Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD1TRE 4 R9C2 2006-05-26 07:53:21.0 2006-05-26 07:54:09.0 2006-05-26 08:23:15.0 744.667 744.667 0 15 1 0 Entering a given~~Entering a given quadratic value 651~~20 344322 4pzSijxuK6 Unit CTA1_01, Section CTA1_01-4 JAN04C 1 R1C1 2005-09-02 08:21:49.0 2005-09-02 08:22:03.0 2005-09-02 08:22:03.0 2005-09-02 08:22:03.0 14 14 1 0 0 1 344591 4pzSijxuK6 Unit CTA1_02, Section CTA1_02-4 BH1T29 1 yMax 2005-09-07 08:08:44.0 2005-09-07 08:08:50.0 2005-09-07 08:08:50.0 2005-09-07 08:08:50.0 6 6 1 0 0 2 Changing axis bounds 40 344895 4pzSijxuK6 Unit ES_01, Section ES_01-9 EG25 2 -7*8 = x/8*8 2005-09-14 12:37:24.0 2005-09-14 12:37:27.0 2005-09-14 12:37:27.0 2005-09-14 12:37:41.0 17 17 1 1 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 7 345136 4pzSijxuK6 Unit CTA1_04, Section CTA1_04-4 BH1T47A 1 R3C2 2005-09-15 12:28:15.0 2005-09-15 12:28:26.0 2005-09-15 12:29:13.0 2005-09-15 12:29:13.0 58 58 0 3 4 1 Using simple numbers~~Using small numbers~~Write expression, negative slope 159~~108~~11 345628 4pzSijxuK6 Unit ES_02, Section ES_02-8 EG41 6 xR2 2005-09-23 08:12:22.0 2005-09-23 08:12:26.0 2005-09-23 08:12:26.0 2005-09-23 08:12:26.0 4 4 1 0 0 1 345963 4pzSijxuK6 Unit CTA1_13, Section CTA1_13-1 PROP02 1 R6C1 2005-09-27 12:29:14.0 2005-09-27 12:29:17.0 2005-09-27 12:29:17.0 2005-09-27 12:29:17.0 3 3 1 0 0 1 Entering a given 191 346635 4pzSijxuK6 Unit CTA1_06, Section CTA1_06-4 JAN09 1 25A+2000 = 0 2005-10-03 08:17:56.0 2005-10-03 08:18:00.0 2005-10-03 08:18:00.0 2005-10-03 08:18:00.0 4 4 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 132 347240 4pzSijxuK6 Unit ES_03, Section ES_03-8 LIT4A 2 b*j/b = x/b 2005-10-07 09:30:03.0 2005-10-07 09:30:08.0 2005-10-07 09:30:08.0 2005-10-07 09:30:14.0 11 11 1 0 0 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 66 347483 4pzSijxuK6 Unit CTA1_08, Section CTA1_08-2 FEB09 1 XLabel 2005-10-20 12:33:01.0 2005-10-20 12:33:09.0 2005-10-20 12:33:09.0 2005-10-20 12:33:09.0 8 8 1 0 0 1 Labelling the axes 109 348430 4pzSijxuK6 Unit ES_04, Section ES_04-12 EG58 7 5Y-27+27 = -1+27 2005-11-09 11:55:12.0 2005-11-09 11:55:19.0 2005-11-09 11:55:19.0 2005-11-09 11:55:39.0 27 27 1 3 0 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]]~~[SkillRule: Consolidate vars with coeff; CLT] 79~~264 349099 4pzSijxuK6 Unit CTA1_10, Section CTA1_10-6 DISTFB12_SP 1 R5C2 2005-11-15 12:27:18.0 2005-11-15 12:27:24.0 2005-11-15 12:27:24.0 2005-11-15 12:27:24.0 6 6 1 0 0 1 Entering a given 408 349219 4pzSijxuK6 Unit ES_07, Section ES_07-6 LIT79A 1 (4y+5r+9s)/2 = 2V/2 2005-11-17 12:10:54.0 2005-11-17 12:10:58.0 2005-11-17 12:10:58.0 2005-11-17 12:11:13.0 19 19 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 135 349536 4pzSijxuK6 Unit CTA1_12, Section CTA1_12-4 SYSFB22 1 YLabel 2005-12-12 09:13:55.0 2005-12-12 09:13:57.0 2005-12-12 09:13:57.0 2005-12-12 09:13:57.0 2 2 1 0 0 1 Labelling the axes 148 350251 4pzSijxuK6 Unit ES_05, Section ES_05-9 EG62A 1 -543.01y = 9787.04 2005-12-19 12:30:31.0 2005-12-19 12:30:37.0 2005-12-19 12:30:51.0 2005-12-19 12:30:51.0 20 20 0 2 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 555~~176 350942 4pzSijxuK6 Unit CTA1_14, Section CTA1_14-4 2PTFB14 1 R4C1 2006-01-09 08:51:12.0 2006-01-09 08:51:23.0 2006-01-09 08:51:23.0 2006-01-09 08:51:23.0 11 11 1 0 0 1 Entering a given 558 351221 4pzSijxuK6 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLT2X-5 1 ShadeButton1 2006-01-18 09:19:59.0 2006-01-18 09:20:04.0 2006-01-18 09:20:13.0 2006-01-18 09:20:13.0 14 14 0 3 0 1 Excluding the line when shading~~Shading SIF equation with positive slope~~Shading less than 7~~3~~7 351657 4pzSijxuK6 Unit CTA1_15, Section CTA1_15-3 SYS06 1 R5C3 2006-03-03 08:47:57.0 2006-03-03 08:48:20.0 2006-03-03 08:51:10.0 38 38 0 1 3 0 351847 4pzSijxuK6 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE4TRE 1 R8C1 2006-03-20 09:18:19.0 2006-03-20 09:18:29.0 2006-03-20 09:18:29.0 2006-03-20 09:18:29.0 10 10 1 0 0 1 Entering a computed linear value 11 351959 56dTCKdr74 Unit CTA1_01, Section CTA1_01-3 BH1T28C 1 R5C2 2005-09-07 08:03:23.0 2005-09-07 08:03:34.0 2005-09-07 08:03:34.0 2005-09-07 08:03:34.0 11 11 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 26~~11~~2 352189 56dTCKdr74 Unit CTA1_02, Section CTA1_02-3 L3NOV12C 1 R2C2 2005-09-12 08:19:20.0 2005-09-12 08:19:27.0 2005-09-12 08:19:27.0 2005-09-12 08:19:27.0 7 7 1 0 0 1 Identifying units 32 352385 56dTCKdr74 Unit ES_01, Section ES_01-5 EG13A 1 -355.5+31 = x 2005-09-23 07:48:29.0 2005-09-23 07:48:33.0 2005-09-23 07:48:33.0 2005-09-23 07:48:33.0 4 4 1 0 0 1 [SkillRule: Select Combine Terms; CLT]~~[SkillRule: Consolidate vars, no coeff; CLT] 10~~10 352580 56dTCKdr74 Unit CTA1_04, Section CTA1_04-3 DEC01B 1 3.5+0.75T = 32.75 2005-09-26 08:08:44.0 2005-09-26 08:08:50.0 2005-09-26 08:08:50.0 2005-09-26 08:08:50.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 22 352796 56dTCKdr74 Unit ES_02, Section ES_02-9 EG44 1 4/y*y = -10y 2005-10-11 08:09:55.0 2005-10-11 08:10:05.0 2005-10-11 08:10:25.0 2005-10-11 08:10:25.0 30 30 0 1 2 1 352881 56dTCKdr74 Unit CTA1_13, Section CTA1_13-1 PROP12 1 R1C2 2005-10-14 08:03:43.0 2005-10-14 08:04:28.0 2005-10-14 08:04:28.0 2005-10-14 08:04:28.0 45 45 1 0 0 1 353401 56dTCKdr74 Unit CTA1_06, Section CTA1_06-4 BH1T52 2 yMax 2005-12-02 09:06:43.0 2005-12-02 09:07:01.0 2005-12-02 09:07:01.0 2005-12-02 09:07:02.0 19 19 1 0 0 2 Changing axis bounds 129 353820 56dTCKdr74 Unit ES_03, Section ES_03-8 LIT17A 1 constant factorsR2 2006-02-06 12:40:00.0 2006-02-06 12:40:03.0 2006-02-06 12:40:03.0 2006-02-06 12:41:21.0 8 8 1 1 0 2 perform-mult-row2-sp 1 354005 56dTCKdr74 Unit CTA1_08, Section CTA1_08-3 L5FB02 2 YLabel 2006-02-10 08:55:55.0 2006-02-10 08:56:00.0 2006-02-10 08:56:00.0 2006-02-10 08:56:00.0 5 5 1 0 0 1 Labelling the axes 98 354353 56dTCKdr74 Unit ES_04, Section ES_04-15 LIT54 1 x+t-t = b/k-t 2006-03-03 09:24:53.0 2006-03-03 09:24:56.0 2006-03-03 09:24:56.0 2006-03-03 09:24:56.0 3 3 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 87 354652 56dTCKdr74 Unit CTA1_10, Section CTA1_10-6 DISTFB11_SP 1 M-30 = 2830/7 2006-03-27 09:04:18.0 2006-03-27 09:04:22.0 2006-03-27 09:04:22.0 2006-03-27 09:04:22.0 4 4 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 221 354751 56dTCKdr74 Unit ES_07, Section ES_07-3 LIT70 1 q*(-t-v) = w*r-6t 2006-04-10 08:47:29.0 2006-04-10 08:47:45.0 2006-04-10 08:47:45.0 2006-04-10 08:47:45.0 16 16 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 232 355233 56dTCKdr74 Unit CTA1_12, Section CTA1_12-6 SYSFB03 1 yScale 2006-05-19 09:01:58.0 2006-05-19 09:02:09.0 2006-05-19 09:02:09.0 2006-05-19 09:02:09.0 11 11 1 0 0 1 Changing axis intervals 80 355345 56dTCKdr74 Unit ES_05, Section ES_05-8 EG61 3 9.46x/9.46 = -11.74/9.46 2006-05-22 09:11:30.0 2006-05-22 09:11:33.0 2006-05-22 09:11:33.0 2006-05-22 09:11:44.0 14 14 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 86 355565 81E41tTtV9 Unit CTA1_01, Section CTA1_01-4 REAL32B 1 R4C2 2005-09-23 07:54:35.0 2005-09-23 07:54:44.0 2005-09-23 07:59:15.0 2005-09-23 07:59:15.0 280 280 0 8 2 1 Using simple numbers~~Using small numbers~~Find Y, positive slope 62~~29~~12 355602 81E41tTtV9 Unit CTA1_02, Section CTA1_02-1 LDEMO_GRPH 1 R4C2 2005-09-23 08:16:49.0 2005-09-23 08:16:55.0 2005-09-23 08:16:55.0 2005-09-23 08:16:55.0 6 6 1 0 0 1 Find Y, Simple~~Using simple numbers~~Using small numbers 21~~74~~35 355603 81E41tTtV9 Unit CTA1_01, Section CTA1_01-3 JAN11B 2 R4C2 2005-09-23 08:18:02.0 2005-09-23 08:18:22.0 2005-09-23 08:19:22.0 2005-09-23 08:19:22.0 80 80 0 2 2 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 75~~40~~20 355604 81E41tTtV9 Unit CTA1_02, Section CTA1_02-1 LDEMO_GRPH 1 R3C1 2005-09-23 08:19:22.0 2005-09-23 08:19:29.0 2005-09-23 08:19:29.0 2005-09-23 08:19:29.0 7 7 1 0 0 1 Define Variable 22 355605 81E41tTtV9 Unit CTA1_01, Section CTA1_01-3 JAN11B 2 R5C1 2005-09-23 08:19:29.0 2005-09-23 08:19:31.0 2005-09-23 08:19:31.0 2 2 0 1 0 0 Entering a given~~Convert unit, standard 55~~10 355606 81E41tTtV9 Unit CTA1_02, Section CTA1_02-1 LDEMO_GRPH 1 R6C2 2005-09-23 08:19:55.0 2005-09-23 08:20:01.0 2005-09-23 08:20:01.0 2005-09-23 08:20:01.0 6 6 1 0 0 1 Find Y, Simple~~Using simple numbers~~Using small numbers 22~~76~~36 355607 81E41tTtV9 Unit CTA1_01, Section CTA1_01-3 JAN11B 2 R5C2 2005-09-23 08:20:01.0 2005-09-23 08:20:15.0 2005-09-23 08:20:15.0 14 14 0 1 0 0 Using simple numbers~~Using large numbers~~Find Y, positive slope 77~~41~~21 355622 81E41tTtV9 Unit CTA1_02, Section CTA1_02-2 BH1T23 1 R1C1 2005-09-23 08:26:43.0 2005-09-23 08:26:55.0 2005-09-23 08:26:55.0 2005-09-23 08:26:55.0 12 12 1 0 0 1 355644 81E41tTtV9 Unit CTA1_01, Section CTA1_01-3 DEC03 1 R4C1 2005-09-23 08:35:03.0 2005-09-23 08:35:08.0 2005-09-23 08:35:08.0 2005-09-23 08:35:08.0 5 5 1 0 0 1 Entering a given 63 355836 81E41tTtV9 Unit CTA1_02, Section CTA1_02-3 L3NOV12A 2 R4C2 2005-10-05 14:03:45.0 2005-10-05 14:03:49.0 2005-10-05 14:04:26.0 2005-10-05 14:04:26.0 25 25 0 1 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 130~~58~~40 356143 81E41tTtV9 Unit ES_01, Section ES_01-9 EG25 2 8*6 = x/6*6 2005-10-07 08:25:50.0 2005-10-07 08:25:56.0 2005-10-07 08:27:11.0 81 81 0 3 0 0 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 5 356184 81E41tTtV9 Unit CTA1_04, Section CTA1_04-1 LDEMO_WSLVR 1 R2C2 2005-10-11 08:03:28.0 2005-10-11 08:03:37.0 2005-10-11 08:03:51.0 2005-10-11 08:03:51.0 23 23 0 1 0 1 Identifying units 61 356185 81E41tTtV9 Unit ES_01, Section ES_01-9 EG24 2 -2x/-2 = 7/-2 2005-10-11 08:02:21.0 2005-10-11 08:02:30.0 2005-10-11 08:04:01.0 2005-10-11 08:04:06.0 24 24 0 1 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 11 356186 81E41tTtV9 Unit CTA1_04, Section CTA1_04-1 LDEMO_WSLVR 1 R3C1 2005-10-11 08:04:06.0 2005-10-11 08:04:10.0 2005-10-11 08:04:10.0 2005-10-11 08:04:10.0 4 4 1 0 0 1 Define Variable 38 356188 81E41tTtV9 Unit ES_01, Section ES_01-9 EG25 4 2*9 = y/9*9 2005-10-11 08:05:06.0 2005-10-11 08:05:30.0 2005-10-11 08:05:30.0 24 24 0 1 0 0 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 12 356191 81E41tTtV9 Unit CTA1_04, Section CTA1_04-1 LDEMO_WSLVR 1 R5C1 2005-10-11 08:06:09.0 2005-10-11 08:06:14.0 2005-10-11 08:06:14.0 2005-10-11 08:06:14.0 5 5 1 0 0 1 Entering a given 126 356195 81E41tTtV9 Unit ES_01, Section ES_01-9 EG23 3 8x/8 = -10/8 2005-10-11 08:06:55.0 2005-10-11 08:07:01.0 2005-10-11 08:07:01.0 2005-10-11 08:07:15.0 20 20 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 14 356368 81E41tTtV9 Unit CTA1_04, Section CTA1_04-2 PERCENT03B 1 R1C1 2005-10-17 08:05:10.0 2005-10-17 08:07:15.0 2005-10-17 08:07:15.0 2005-10-17 08:07:15.0 125 125 1 0 0 1 356663 81E41tTtV9 Unit ES_02, Section ES_02-5 EG40 14 -8y = 1 2005-10-28 08:10:45.0 2005-10-28 08:10:52.0 2005-10-28 08:11:00.0 2005-10-28 08:11:00.0 15 15 0 1 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 83~~33 356907 81E41tTtV9 Unit CTA1_13, Section CTA1_13-1 PROP09 1 ValidEquations 2005-11-04 08:43:53.0 2005-11-04 08:44:04.0 2005-11-04 08:44:04.0 2005-11-04 08:44:04.0 11 11 1 0 0 2 357903 81E41tTtV9 Unit CTA1_06, Section CTA1_06-4 BH1T51 3 xMax 2006-01-13 09:26:36.0 2006-01-13 09:26:42.0 2006-01-13 09:26:42.0 2006-01-13 09:26:42.0 6 6 1 0 0 1 Changing axis bounds 158 358287 81E41tTtV9 Unit ES_03, Section ES_03-7 LIT9 1 3+j-3 = x-3 2006-01-24 09:26:42.0 2006-01-24 09:26:44.0 2006-01-24 09:26:44.0 2006-01-24 09:26:44.0 2 2 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 75 358513 81E41tTtV9 Unit CTA1_08, Section CTA1_08-3 NOV13 1 YLabel 2006-01-30 09:13:13.0 2006-01-30 09:13:29.0 2006-01-30 09:13:29.0 2006-01-30 09:13:29.0 16 16 1 0 0 1 Labelling the axes 135 358929 81E41tTtV9 Unit ES_04, Section ES_04-14 LIT46A 6 3/q*q = -5j*q 2006-02-07 14:50:36.0 2006-02-07 14:50:43.0 2006-02-07 14:50:43.0 2006-02-07 14:50:51.0 15 15 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 81 359308 81E41tTtV9 Unit CTA1_10, Section CTA1_10-5 DIST05_SP 1 (X-200)/5 = 160 2006-02-15 14:58:24.0 2006-02-15 14:58:30.0 2006-02-15 14:58:30.0 2006-02-15 14:58:30.0 6 6 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 125~~338 359565 81E41tTtV9 Unit ES_07, Section ES_07-4 LIT64A 1 y*j+z*u = j*c+g*x 2006-03-03 08:53:24.0 2006-03-03 08:53:33.0 2006-03-03 08:53:33.0 2006-03-03 08:53:33.0 9 9 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 321 359892 81E41tTtV9 Unit CTA1_12, Section CTA1_12-4 SYSFB04 2 XLabel 2006-03-14 12:20:19.0 2006-03-14 12:20:51.0 2006-03-14 12:20:51.0 2006-03-14 12:20:51.0 32 32 1 0 0 1 Labelling the axes 167 360384 81E41tTtV9 Unit ES_05, Section ES_05-8 EG61 11 -2.38y-6.63+2.38y = -8.69+2.71y+2.38y 2006-03-27 09:07:30.0 2006-03-27 09:07:36.0 2006-03-27 09:07:36.0 2006-03-27 09:08:02.0 32 32 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 112 360681 81E41tTtV9 Unit CTA1_14, Section CTA1_14-3 2PTS02 1 R1C1 2006-04-03 08:15:02.0 2006-04-03 08:15:22.0 2006-04-03 08:15:22.0 2006-04-03 08:15:22.0 20 20 1 0 0 1 360860 84qYt0yA5y Unit CTA1_01, Section CTA1_01-3 BH1T34A 2 R3C1 2005-09-12 07:50:26.0 2005-09-12 07:50:32.0 2005-09-12 07:50:32.0 2005-09-12 07:50:32.0 6 6 1 0 0 1 Define Variable 13 361208 84qYt0yA5y Unit CTA1_02, Section CTA1_02-4 REAL19 1 R7C2 2005-10-11 08:02:53.0 2005-10-11 08:04:19.0 2005-10-11 08:04:19.0 2005-10-11 08:04:19.0 86 86 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 144~~73~~20 361504 84qYt0yA5y Unit ES_01, Section ES_01-8 EG25 1 -2*8 = y/8*8 2005-10-26 08:17:14.0 2005-10-26 08:17:32.0 2005-10-26 08:17:32.0 2005-10-26 08:17:32.0 18 18 1 0 0 1 361790 84qYt0yA5y Unit CTA1_04, Section CTA1_04-4 L5FB04B 1 -28-3.5G = -84 2005-11-21 08:55:07.0 2005-11-21 08:55:25.0 2005-11-21 08:55:25.0 2005-11-21 08:55:25.0 18 18 1 0 0 1 362161 84qYt0yA5y Unit ES_02, Section ES_02-9 EG44 5 -8 = -9/x 2006-01-31 15:14:24.0 2006-01-31 15:15:24.0 2006-01-31 15:15:24.0 2006-01-31 15:15:24.0 60 60 1 0 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 5 362275 84qYt0yA5y Unit CTA1_13, Section CTA1_13-1 PROP01 1 R3C2 2006-02-03 09:11:27.0 2006-02-03 09:11:41.0 2006-02-03 09:11:41.0 2006-02-03 09:11:41.0 14 14 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 148~~48~~68 362411 84qYt0yA5y Unit CTA1_06, Section CTA1_06-2 L5FB16 1 R2C2 2006-02-13 09:03:14.0 2006-02-13 09:03:30.0 2006-02-13 09:06:07.0 2006-02-13 09:06:07.0 144 144 0 1 2 1 Identifying units 94 362605 88Uhb8760x Unit CTA1_01, Section CTA1_01-3 JAN11B 1 R3C1 2005-09-09 08:13:17.0 2005-09-09 08:13:33.0 2005-09-09 08:13:33.0 2005-09-09 08:13:33.0 16 16 1 0 0 1 Define Variable 17 362877 88Uhb8760x Unit CTA1_02, Section CTA1_02-3 L3NOV10C 1 yScale 2005-09-26 08:07:32.0 2005-09-26 08:07:43.0 2005-09-26 08:07:43.0 2005-09-26 08:08:31.0 51 51 1 0 0 6 Changing axis intervals 17 363173 88Uhb8760x Unit ES_01, Section ES_01-11 EG27 2 8 = -y 2005-10-03 08:06:46.0 2005-10-03 08:07:20.0 2005-10-03 08:07:20.0 2005-10-03 08:07:20.0 34 34 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 19~~12~~6 363386 88Uhb8760x Unit CTA1_04, Section CTA1_04-3 DEC01 1 R2C2 2005-10-11 07:42:37.0 2005-10-11 07:42:41.0 2005-10-11 07:42:41.0 2005-10-11 07:42:41.0 4 4 1 0 0 1 Identifying units 82 363710 88Uhb8760x Unit ES_02, Section ES_02-10 EG44 1 -3y = -8 2005-10-17 08:19:29.0 2005-10-17 08:19:38.0 2005-10-17 08:19:38.0 2005-10-17 08:19:38.0 9 9 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 86~~29 363824 88Uhb8760x Unit CTA1_13, Section CTA1_13-1 PROP01 1 R6C1 2005-10-17 12:34:40.0 2005-10-17 12:34:47.0 2005-10-17 12:34:47.0 2005-10-17 12:34:47.0 7 7 1 0 0 1 Entering a given 226 364330 88Uhb8760x Unit CTA1_06, Section CTA1_06-4 BH1T48 2 -4050000L = -500000000 2005-11-02 11:58:07.0 2005-11-02 11:59:35.0 2005-11-02 11:59:35.0 2005-11-02 11:59:35.0 88 88 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 141~~36 364794 88Uhb8760x Unit ES_03, Section ES_03-6 EG53 1 -10.5Y/-10.5 = 8/-10.5 2005-11-10 12:21:54.0 2005-11-10 12:21:59.0 2005-11-10 12:21:59.0 2005-11-10 12:23:49.0 115 115 1 2 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 47 365125 88Uhb8760x Unit CTA1_08, Section CTA1_08-3 JAN12 1 XLabel 2005-11-18 09:12:31.0 2005-11-18 09:12:40.0 2005-11-18 09:12:40.0 2005-11-18 09:12:40.0 9 9 1 0 0 1 Labelling the axes 122 365548 88Uhb8760x Unit ES_04, Section ES_04-15 LIT56 1 (j*t+j*-w)/j*j = b/j*j 2005-11-29 12:26:19.0 2005-11-29 12:26:26.0 2005-11-29 12:26:33.0 2005-11-29 12:26:33.0 14 14 0 1 0 1 365839 88Uhb8760x Unit CTA1_10, Section CTA1_10-3 DISTFB06_SP 3 D-100000 = 3333333.33333333 2005-12-09 12:36:54.0 2005-12-09 12:37:00.0 2005-12-09 12:37:00.0 2005-12-09 12:37:00.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 249~~19 366341 88Uhb8760x Unit ES_07, Section ES_07-5 LIT71 1 A = b*h/2 2006-01-06 08:57:53.0 2006-01-06 08:58:04.0 2006-01-06 08:58:34.0 2006-01-06 08:58:34.0 34 34 0 3 0 1 366834 88Uhb8760x Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 ValidEquations 2006-01-18 09:27:07.0 2006-01-18 09:27:24.0 2006-01-18 09:28:26.0 2006-01-18 09:29:17.0 51 51 0 1 0 2 367206 88Uhb8760x Unit ES_05, Section ES_05-10 EG62 2 x1R1 2006-02-13 08:55:42.0 2006-02-13 08:55:54.0 2006-02-13 08:55:54.0 2006-02-13 08:55:54.0 12 12 1 0 0 1 367569 88Uhb8760x Unit CTA1_14, Section CTA1_14-4 2PTFB10 1 R1C1 2006-03-10 08:58:01.0 2006-03-10 08:58:05.0 2006-03-10 08:58:05.0 2006-03-10 08:58:05.0 4 4 1 0 0 1 368024 88Uhb8760x Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT5X+12 1 Slope1 2006-04-28 07:45:00.0 2006-04-28 07:45:03.0 2006-04-28 07:45:03.0 2006-04-28 07:45:03.0 3 3 1 0 0 1 Entering slope, SIF~~Positive Constants, SIF 9~~9 368335 88Uhb8760x Unit CTA1_15, Section CTA1_15-3 SYSFB06 1 R5C3 2006-05-19 07:56:50.0 2006-05-19 07:57:00.0 2006-05-19 07:57:00.0 10 10 0 1 0 0 Find Y, Simple~~Using simple numbers~~Using large numbers 42~~415~~242 368557 88Uhb8760x Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE3TRE 1 R5C3 2006-05-22 08:25:38.0 2006-05-22 08:25:45.0 2006-05-22 08:25:45.0 2006-05-22 08:25:45.0 7 7 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, any form~~Entering a computed quadratic value 457~~413~~19~~10 368725 88Uhb8760x Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR19 1 c-factor-2 2006-06-06 08:17:44.0 2006-06-06 08:17:45.0 2006-06-06 08:17:45.0 2006-06-06 08:17:45.0 1 1 1 0 0 1 368973 8csPxY44OZ Unit CTA1_01, Section CTA1_01-4 JAN04C 1 R2C1 2006-02-27 09:18:56.0 2006-02-27 09:18:58.0 2006-02-27 09:18:58.0 2006-02-27 09:18:58.0 2 2 1 0 0 1 Identifying units 31 369210 8csPxY44OZ Unit CTA1_02, Section CTA1_02-3 L3NOV12A 1 yMax 2006-03-10 09:11:52.0 2006-03-10 09:12:04.0 2006-03-10 09:12:04.0 2006-03-10 09:12:04.0 12 12 1 0 0 2 Changing axis bounds 24 369512 8csPxY44OZ Unit ES_01, Section ES_01-10 EG27 2 -10 = -y 2006-03-24 08:44:18.0 2006-03-24 08:44:40.0 2006-03-24 08:44:58.0 2006-03-24 08:44:58.0 40 40 0 0 3 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 14~~8~~2 369646 8csPxY44OZ Unit CTA1_04, Section CTA1_04-3 PERCENT14C 1 R7C2 2006-03-27 08:52:37.0 2006-03-27 08:52:48.0 2006-03-27 08:52:48.0 2006-03-27 08:52:48.0 11 11 1 0 0 1 Entering a given 146 369889 8csPxY44OZ Unit ES_02, Section ES_02-8 EG41 3 9 = x/6+0 2006-04-03 09:05:48.0 2006-04-03 09:05:54.0 2006-04-03 09:06:28.0 2006-04-03 09:06:28.0 40 40 0 2 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 36 370120 8csPxY44OZ Unit CTA1_13, Section CTA1_13-1 PROP10 1 R1C1 2006-04-10 12:04:42.0 2006-04-10 12:04:59.0 2006-04-10 12:04:59.0 2006-04-10 12:04:59.0 17 17 1 0 0 1 370644 8csPxY44OZ Unit CTA1_06, Section CTA1_06-4 BH1T51 1 R3C2 2006-05-15 09:01:41.0 2006-05-15 09:02:20.0 2006-05-15 09:02:20.0 2006-05-15 09:02:20.0 39 39 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, negative slope 201~~199~~16 370892 8csPxY44OZ Unit ES_03, Section ES_03-6 EG52 1 6.6 = 7.4x+x 2006-05-26 09:02:16.0 2006-05-26 09:02:23.0 2006-05-26 09:02:23.0 2006-05-26 09:02:23.0 7 7 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 74 371116 ajPRq0Q08b Unit CTA1_01, Section CTA1_01-4 JAN13B 1 R3C1 2005-09-07 08:16:24.0 2005-09-07 08:16:26.0 2005-09-07 08:16:26.0 2005-09-07 08:16:26.0 2 2 1 0 0 1 Define Variable 21 371311 ajPRq0Q08b Unit CTA1_02, Section CTA1_02-3 BH1T39B 1 R7C2 2005-09-16 07:51:05.0 2005-09-16 07:51:57.0 2005-09-16 07:51:57.0 2005-09-16 07:51:57.0 52 52 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope 112~~67~~32 371741 ajPRq0Q08b Unit ES_01, Section ES_01-11 EG27 3 5 = -y 2005-09-30 08:10:44.0 2005-09-30 08:10:59.0 2005-09-30 08:10:59.0 2005-09-30 08:10:59.0 15 15 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 28~~19~~8 371990 ajPRq0Q08b Unit CTA1_04, Section CTA1_04-4 BH1T47B 1 ValidEquations 2005-10-11 08:12:20.0 2005-10-11 08:12:43.0 2005-10-11 08:12:43.0 2005-10-11 08:14:07.0 33 33 1 0 0 3 372109 ajPRq0Q08b Unit ES_02, Section ES_02-4 EG35C 1 y = 16(-17-26) 2005-10-14 07:58:49.0 2005-10-14 07:58:51.0 2005-10-14 07:58:51.0 2005-10-14 07:58:51.0 2 2 1 0 0 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 57 372219 ajPRq0Q08b Unit CTA1_13, Section CTA1_13-1 PROP12 2 6/500*D = 600 2005-10-17 07:42:42.0 2005-10-17 07:42:53.0 2005-10-17 07:43:31.0 2005-10-17 07:43:31.0 49 49 0 3 0 1 372237 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-1 LDEMO_4QGRPH 1 xScale 2005-10-17 07:49:05.0 2005-10-17 07:49:10.0 2005-10-17 07:49:10.0 2005-10-17 07:49:28.0 14 14 1 0 0 3 Changing axis intervals 30 372256 ajPRq0Q08b Unit ES_02, Section ES_02-9 EG44 2 2 = -3/y 2005-10-17 07:59:38.0 2005-10-17 07:59:43.0 2005-10-17 07:59:43.0 2005-10-17 07:59:43.0 5 5 1 0 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 2 372259 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 BH1T20 1 R6C1 2005-10-17 07:59:01.0 2005-10-17 07:59:02.0 2005-10-17 07:59:53.0 2005-10-17 07:59:53.0 9.5 9.5 0 0 4 1 Entering a given~~Convert unit, standard 185~~13 372260 ajPRq0Q08b Unit ES_02, Section ES_02-9 EG44 2 2y/2 = -3/2 2005-10-17 07:59:53.0 2005-10-17 07:59:58.0 2005-10-17 07:59:58.0 2005-10-17 07:59:58.0 5 5 1 0 0 1 372261 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 BH1T20 1 R7C1 2005-10-17 07:59:58.0 2005-10-17 08:00:02.0 2005-10-17 08:00:02.0 2005-10-17 08:00:02.0 4 4 1 0 0 1 Entering a given 186 372264 ajPRq0Q08b Unit ES_02, Section ES_02-9 EG44 3 -3 = 1y 2005-10-17 08:00:10.0 2005-10-17 08:00:15.0 2005-10-17 08:00:15.0 2005-10-17 08:00:15.0 5 5 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 47~~86 372269 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 BH1T20 1 yMin 2005-10-17 08:00:55.0 2005-10-17 08:01:02.0 2005-10-17 08:01:02.0 2005-10-17 08:01:02.0 7 7 1 0 0 1 Changing axis bounds 70 372274 ajPRq0Q08b Unit ES_02, Section ES_02-9 EG44 4 -10/x*x = 7x 2005-10-17 08:01:59.0 2005-10-17 08:02:11.0 2005-10-17 08:02:11.0 2005-10-17 08:02:11.0 12 12 1 0 0 1 372278 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 BH1T20 1 yScale 2005-10-17 08:02:31.0 2005-10-17 08:02:33.0 2005-10-17 08:02:33.0 2005-10-17 08:02:33.0 2 2 1 0 0 1 Changing axis intervals 33 372281 ajPRq0Q08b Unit ES_02, Section ES_02-9 EG44 5 10 = -6x 2005-10-17 08:02:45.0 2005-10-17 08:02:51.0 2005-10-17 08:02:51.0 2005-10-17 08:02:51.0 6 6 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 88~~35 372285 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 BH1T20 1 yMax 2005-10-17 08:02:26.0 2005-10-17 08:02:27.0 2005-10-17 08:03:11.0 2005-10-17 08:03:11.0 4 4 0 1 0 1 Changing axis bounds 72 372289 ajPRq0Q08b Unit ES_02, Section ES_02-9 EG44 6 -4/7 = 7y/7 2005-10-17 08:03:24.0 2005-10-17 08:03:28.0 2005-10-17 08:03:28.0 2005-10-17 08:03:28.0 4 4 1 0 0 1 372291 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 FEB11 1 R1C1 2005-10-17 08:04:35.0 2005-10-17 08:04:41.0 2005-10-17 08:04:41.0 2005-10-17 08:04:41.0 6 6 1 0 0 1 372292 ajPRq0Q08b Unit ES_02, Section ES_02-10 EG44 1 10x = -5/x*x 2005-10-17 08:03:38.0 2005-10-17 08:03:43.0 2005-10-17 08:04:44.0 2005-10-17 08:05:33.0 103.5 103.5 0 6 6 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 13 372295 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 FEB11 1 R3C1 2005-10-17 08:05:17.0 2005-10-17 08:05:18.0 2005-10-17 08:05:18.0 2005-10-17 08:05:18.0 0.5 0.5 1 0 0 1 Define Variable 54 372297 ajPRq0Q08b Unit ES_02, Section ES_02-10 EG44 1 pm-r-num-node 2005-10-17 08:05:33.0 2005-10-17 08:05:45.0 2005-10-17 08:06:20.0 2005-10-17 08:06:20.0 25 25 0 3 1 1 372298 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 FEB11 1 R4C1 2005-10-17 08:06:20.0 2005-10-17 08:06:23.0 2005-10-17 08:06:23.0 2005-10-17 08:06:23.0 3 3 1 0 0 1 Entering a given 187 372299 ajPRq0Q08b Unit ES_02, Section ES_02-10 EG44 1 pm-r-den-node 2005-10-17 08:06:23.0 2005-10-17 08:06:25.0 2005-10-17 08:06:25.0 2005-10-17 08:06:25.0 2 2 1 0 0 1 372302 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 FEB11 1 R7C2 2005-10-17 08:06:32.0 2005-10-17 08:06:34.0 2005-10-17 08:06:34.0 2005-10-17 08:06:34.0 2 2 1 0 0 1 Entering a given 190 372305 ajPRq0Q08b Unit ES_02, Section ES_02-10 EG44 1 FinalAnswer 2005-10-17 08:06:31.0 2005-10-17 08:06:32.0 2005-10-17 08:06:49.0 2005-10-17 08:10:57.0 30.5 30.5 0 5 2 2 simplify-fractions-sp~~perform-mult-r-sp 1~~1 372307 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 FEB11 1 yMin 2005-10-17 08:06:59.0 2005-10-17 08:07:01.0 2005-10-17 08:07:01.0 2005-10-17 08:09:58.0 8 8 1 0 0 2 Changing axis bounds 74 372308 ajPRq0Q08b Unit ES_02, Section ES_02-10 EG44 1 10x = -5x/x 2005-10-17 08:06:53.0 2005-10-17 08:06:59.0 2005-10-17 08:07:06.0 2005-10-17 08:07:06.0 8 8 0 1 0 1 372310 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 FEB11 1 xScale 2005-10-17 08:07:09.0 2005-10-17 08:07:12.0 2005-10-17 08:07:12.0 2005-10-17 08:09:46.0 11 11 1 0 0 6 Changing axis intervals 34 372319 ajPRq0Q08b Unit ES_02, Section ES_02-10 EG44 1 row3-N-x 2005-10-17 08:09:20.0 2005-10-17 08:09:22.0 2005-10-17 08:09:26.0 2005-10-17 08:09:26.0 6 6 0 1 0 1 372322 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 FEB11 1 R5C1 2005-10-17 08:07:31.0 2005-10-17 08:08:01.0 2005-10-17 08:11:07.0 2005-10-17 08:11:07.0 70 70 0 2 4 1 Using simple numbers~~Using small numbers~~Find X, Simple 157~~123~~21 372324 ajPRq0Q08b Unit ES_02, Section ES_02-10 EG44 1 10x/10 = -5/10 2005-10-17 08:11:10.0 2005-10-17 08:11:14.0 2005-10-17 08:11:14.0 2005-10-17 08:11:36.0 8 8 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 14 372329 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 L5FB16 1 R1C1 2005-10-17 08:12:09.0 2005-10-17 08:12:28.0 2005-10-17 08:12:28.0 2005-10-17 08:12:28.0 19 19 1 0 0 1 372335 ajPRq0Q08b Unit ES_02, Section ES_02-10 EG44 2 FinalAnswer 2005-10-17 08:13:56.0 2005-10-17 08:14:05.0 2005-10-17 08:14:35.0 2005-10-17 08:16:09.0 47 47 0 2 2 2 simplify-fractions-sp~~perform-mult-r-sp 2~~2 372338 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 L5FB16 1 R2C2 2005-10-17 08:14:45.0 2005-10-17 08:14:48.0 2005-10-17 08:14:48.0 2005-10-17 08:14:48.0 3 3 1 0 0 1 Identifying units 88 372339 ajPRq0Q08b Unit ES_02, Section ES_02-10 EG44 2 row1-N-constant factors 2005-10-17 08:14:48.0 2005-10-17 08:14:49.0 2005-10-17 08:14:49.0 2005-10-17 08:14:49.0 1 1 1 0 0 1 372340 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 L5FB16 1 R3C1 2005-10-17 08:14:49.0 2005-10-17 08:14:50.0 2005-10-17 08:14:50.0 2005-10-17 08:14:50.0 1 1 1 0 0 1 Define Variable 55 372347 ajPRq0Q08b Unit ES_02, Section ES_02-10 EG44 2 row3-N-x 2005-10-17 08:15:10.0 2005-10-17 08:15:13.0 2005-10-17 08:15:16.0 2005-10-17 08:15:16.0 6 6 0 1 0 1 372350 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 L5FB16 1 R3C2 2005-10-17 08:15:38.0 2005-10-17 08:15:40.0 2005-10-17 08:16:13.0 2005-10-17 08:16:13.0 22 22 0 1 5 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 159~~44~~80 372352 ajPRq0Q08b Unit ES_02, Section ES_02-10 EG44 2 6x/6 = 6/6 2005-10-17 08:16:19.0 2005-10-17 08:16:21.0 2005-10-17 08:16:21.0 2005-10-17 08:16:31.0 8 8 1 2 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 16 372354 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 L5FB16 1 R5C1 2005-10-17 08:16:25.0 2005-10-17 08:16:27.0 2005-10-17 08:16:27.0 2005-10-17 08:16:27.0 1 1 1 0 0 1 Entering a given 192 372388 ajPRq0Q08b Unit ES_02, Section ES_02-10 EG44 4 row3-D-y 2005-10-17 08:20:06.0 2005-10-17 08:20:07.0 2005-10-17 08:20:07.0 2005-10-17 08:20:07.0 0.5 0.5 1 0 0 1 372394 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 L5FB16 1 R7C2 2005-10-17 08:21:02.0 2005-10-17 08:21:06.0 2005-10-17 08:21:06.0 2005-10-17 08:21:06.0 2 2 1 0 0 1 Entering a given 194 372396 ajPRq0Q08b Unit ES_02, Section ES_02-10 EG44 5 pm-r-den-node 2005-10-17 08:21:11.0 2005-10-17 08:21:14.0 2005-10-17 08:21:14.0 2005-10-17 08:21:14.0 3 3 1 0 0 1 372398 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 L5FB16 1 XLabel 2005-10-17 08:21:15.0 2005-10-17 08:21:19.0 2005-10-17 08:21:19.0 2005-10-17 08:21:19.0 4 4 1 0 0 1 Labelling the axes 36 372410 ajPRq0Q08b Unit ES_02, Section ES_02-10 EG44 5 row3-D-y 2005-10-17 08:21:52.0 2005-10-17 08:21:53.0 2005-10-17 08:21:53.0 2005-10-17 08:21:53.0 0.5 0.5 1 0 0 1 372411 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 L5FB16 1 yMin 2005-10-17 08:21:52.0 2005-10-17 08:21:53.0 2005-10-17 08:22:01.0 2005-10-17 08:22:01.0 3.5 3.5 0 1 0 1 Changing axis bounds 77 372413 ajPRq0Q08b Unit ES_02, Section ES_02-10 EG44 5 -8/-2 = -2y/-2 2005-10-17 08:22:01.0 2005-10-17 08:22:08.0 2005-10-17 08:22:08.0 2005-10-17 08:22:10.0 9 9 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 22 372415 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 L5FB16 1 xScale 2005-10-17 08:22:34.0 2005-10-17 08:22:38.0 2005-10-17 08:22:38.0 2005-10-17 08:23:33.0 36 36 1 0 0 8 Changing axis intervals 36 372423 ajPRq0Q08b Unit CTA1_13, Section CTA1_13-1 PROP04 1 R6C1 2005-10-17 08:24:02.0 2005-10-17 08:24:05.0 2005-10-17 08:24:05.0 2005-10-17 08:24:05.0 3 3 1 0 0 1 Entering a given 197 372427 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 L5FB16 1 Add Point 2005-10-17 08:24:49.0 2005-10-17 08:24:51.0 2005-10-17 08:24:51.0 2 2 0 1 0 0 372429 ajPRq0Q08b Unit CTA1_13, Section CTA1_13-1 PROP04 1 R7C1 2005-10-17 08:25:39.0 2005-10-17 08:25:43.0 2005-10-17 08:25:43.0 2005-10-17 08:25:43.0 4 4 1 0 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 126~~23~~47 372431 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 L5FB16 1 xMin 2005-10-17 08:21:46.0 2005-10-17 08:21:48.0 2005-10-17 08:26:30.0 19 19 0 2 0 0 Changing axis bounds 79 372435 ajPRq0Q08b Unit CTA1_13, Section CTA1_13-1 PROP07 1 R4C1 2005-10-17 08:26:47.0 2005-10-17 08:26:52.0 2005-10-17 08:26:52.0 2005-10-17 08:26:52.0 5 5 1 0 0 1 Entering a given 199 372437 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 L5FB16 1 xMax 2005-10-17 08:22:10.0 2005-10-17 08:22:12.0 2005-10-17 08:27:10.0 43.5 43.5 0 10 3 0 Changing axis bounds 80 372441 ajPRq0Q08b Unit CTA1_13, Section CTA1_13-1 PROP07 1 3/5*D = 1200000 2005-10-17 08:28:15.0 2005-10-17 08:28:19.0 2005-10-17 08:28:19.0 2005-10-17 08:28:19.0 4 4 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 97 372442 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-2 L5FB16 1 R6C1 2005-10-17 08:18:09.0 2005-10-17 08:18:10.0 2005-10-17 08:28:27.0 58 58 0 8 6 0 Using simple numbers~~Using large numbers~~Find X, positive slope 160~~81~~23 372474 ajPRq0Q08b Unit CTA1_13, Section CTA1_13-1 PROP03 1 R7C1 2005-10-17 08:34:20.0 2005-10-17 08:34:28.0 2005-10-17 08:34:28.0 2005-10-17 08:34:28.0 8 8 1 0 0 1 Entering a given 214 372888 ajPRq0Q08b Unit CTA1_06, Section CTA1_06-4 BH1T48 1 R1C1 2005-10-25 12:52:47.0 2005-10-25 12:53:27.0 2005-10-25 12:53:27.0 2005-10-25 12:53:27.0 40 40 1 0 0 1 373456 ajPRq0Q08b Unit ES_03, Section ES_03-8 LIT17A 2 r1R1 2005-10-31 09:24:17.0 2005-10-31 09:24:20.0 2005-10-31 09:24:23.0 2005-10-31 09:27:26.0 11 11 0 1 0 2 373656 ajPRq0Q08b Unit CTA1_08, Section CTA1_08-3 DEC04 1 Formula 1 Coeff 0 2005-11-04 09:15:16.0 2005-11-04 09:15:25.0 2005-11-04 09:15:58.0 2005-11-04 09:15:58.0 17 17 0 2 0 1 Setting the y-intercept 13 374172 ajPRq0Q08b Unit ES_04, Section ES_04-12 EG58A 7 -5 = 50y-5*-32+47y 2005-12-05 09:07:46.0 2005-12-05 09:07:51.0 2005-12-05 09:07:51.0 2005-12-05 09:07:51.0 5 5 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 125 374684 ajPRq0Q08b Unit CTA1_10, Section CTA1_10-4 DIST02_SP 1 R7C2 2006-01-03 09:09:33.0 2006-01-03 09:09:39.0 2006-01-03 09:09:39.0 2006-01-03 09:09:39.0 6 6 1 0 0 1 Entering a given 360 375109 ajPRq0Q08b Unit ES_07, Section ES_07-6 LIT71 1 2a = b*h*2/(2*1) 2006-01-13 13:21:01.0 2006-01-13 13:21:13.0 2006-01-13 13:21:13.0 2006-01-13 13:21:13.0 12 12 1 0 0 1 375430 ajPRq0Q08b Unit CTA1_12, Section CTA1_12-5 SYSFB05 1 yScale 2006-01-20 09:04:28.0 2006-01-20 09:04:30.0 2006-01-20 09:04:30.0 2006-01-20 09:04:36.0 8 8 1 0 0 3 Changing axis intervals 111 375961 ajPRq0Q08b Unit ES_05, Section ES_05-12 LIT86 1 5x+b*y-5x = 9-5x 2006-02-01 15:09:23.0 2006-02-01 15:09:27.0 2006-02-01 15:09:27.0 2006-02-01 15:09:37.0 14 14 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 132 376291 ajPRq0Q08b Unit CTA1_14, Section CTA1_14-4 2PTFB16 1 R2C1 2006-03-10 09:04:18.0 2006-03-10 09:04:21.0 2006-03-10 09:04:21.0 2006-03-10 09:04:21.0 3 3 1 0 0 1 Identifying units 250 376822 ajPRq0Q08b Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT-4X-10 1 YIntercept1 2006-03-24 08:58:30.0 2006-03-24 08:58:33.0 2006-03-24 08:58:33.0 2006-03-24 08:58:33.0 3 3 1 0 0 1 Negative Constant, SIF~~Entering y-intercept, SIF 20~~10 377050 ajPRq0Q08b Unit CTA1_15, Section CTA1_15-3 SYS09 1 R1C3 2006-03-28 14:58:32.0 2006-03-28 14:58:47.0 2006-03-28 14:58:47.0 2006-03-28 14:58:47.0 15 15 1 0 0 1 377413 ajPRq0Q08b Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE2TRE 1 yScale 2006-04-18 15:16:09.0 2006-04-18 15:16:13.0 2006-04-18 15:16:13.0 2006-04-18 15:16:34.0 13 13 1 0 0 6 Changing axis intervals 146 377524 ajPRq0Q08b Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR42 2 c-factor-1 2006-05-08 08:28:00.0 2006-05-08 08:28:07.0 2006-05-08 08:28:07.0 2006-05-08 08:28:07.0 7 7 1 0 0 1 377548 ajPRq0Q08b Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR01 1 FQTryAgainButton 2006-05-12 09:30:13.0 2006-05-12 09:30:17.0 2006-05-12 09:30:17.0 2006-05-12 09:30:17.0 4 4 1 0 0 1 377758 bcoY3s64sj Unit CTA1_01, Section CTA1_01-3 L5FB03C 1 R3C2 2005-09-12 10:16:11.0 2005-09-12 10:16:17.0 2005-09-12 10:16:17.0 2005-09-12 10:16:17.0 6 6 1 0 0 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 71~~46~~5 378100 bcoY3s64sj Unit CTA1_02, Section CTA1_02-4 L2FB14B 3 yMax 2005-09-28 09:46:06.0 2005-09-28 09:46:11.0 2005-09-28 09:46:11.0 2005-09-28 09:46:11.0 5 5 1 0 0 2 Changing axis bounds 46 378399 bcoY3s64sj Unit ES_01, Section ES_01-11 EG27 11 y = -(-6) 2005-10-26 08:05:07.0 2005-10-26 08:05:11.0 2005-10-26 08:05:11.0 2005-10-26 08:05:11.0 4 4 1 0 0 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] 21 378641 bcoY3s64sj Unit CTA1_04, Section CTA1_04-4 BH1T47C 1 -8M = 1450 2005-11-03 09:50:31.0 2005-11-03 09:50:35.0 2005-11-03 09:50:41.0 2005-11-03 09:50:41.0 10 10 0 1 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 67~~29 378934 bcoY3s64sj Unit ES_02, Section ES_02-8 EG41 1 -6 = y/-9-6 2005-12-05 09:13:45.0 2005-12-05 09:14:14.0 2005-12-05 09:16:19.0 2005-12-05 09:16:19.0 154 154 0 2 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 76 379158 bcoY3s64sj Unit CTA1_13, Section CTA1_13-1 PROP10 1 2/25*P = 10 2005-12-20 10:20:31.0 2005-12-20 10:20:36.0 2005-12-20 10:20:36.0 2005-12-20 10:20:36.0 5 5 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 145 379768 bcoY3s64sj Unit CTA1_06, Section CTA1_06-4 JAN09 1 ValidEquations 2006-01-20 09:07:29.0 2006-01-20 09:07:38.0 2006-01-20 09:07:38.0 2006-01-20 09:08:06.0 15 15 1 0 0 3 380068 bcoY3s64sj Unit ES_03, Section ES_03-5 EG51A 5 3 = -25.1y 2006-01-25 12:08:31.0 2006-01-25 12:08:41.0 2006-01-25 12:08:41.0 2006-01-25 12:08:41.0 10 10 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 235~~78 380525 bcoY3s64sj Unit CTA1_08, Section CTA1_08-3 JAN12 1 Formula 1 Coeff 1 2006-01-27 12:06:27.0 2006-01-27 12:06:32.0 2006-01-27 12:06:45.0 18 18 0 0 5 0 Setting the slope 21 381075 bcoY3s64sj Unit ES_04, Section ES_04-15 LIT60 1 n*b*u+n*b*q-n*b*u = c*w-n*b*u 2006-02-06 12:29:25.0 2006-02-06 12:29:28.0 2006-02-06 12:29:28.0 2006-02-06 12:30:38.0 37 37 1 1 0 2 [SkillRule: Consolidate vars with coeff; CLT] 177 381473 bcoY3s64sj Unit CTA1_10, Section CTA1_10-5 DIST05_SP 1 1/5*(A-200) = 575 2006-02-07 14:21:35.0 2006-02-07 14:21:40.0 2006-02-07 14:21:40.0 2006-02-07 14:21:40.0 5 5 1 0 0 1 381809 bcoY3s64sj Unit ES_07, Section ES_07-4 LIT70A 2 r*(-u-w)/(-u-w) = (x*s-6u)/(-u-w) 2006-02-14 12:37:36.0 2006-02-14 12:37:38.0 2006-02-14 12:37:38.0 2006-02-14 12:37:57.0 21 21 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 123 382099 bcoY3s64sj Unit CTA1_12, Section CTA1_12-4 SYSFB23 2 -9A = -256 2006-02-15 13:48:07.0 2006-02-15 13:48:11.0 2006-02-15 13:48:11.0 2006-02-15 13:48:11.0 4 4 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 455~~105 382888 bcoY3s64sj Unit ES_05, Section ES_05-9 EG62 1 -116.97 = 19.98x 2006-03-22 09:23:30.0 2006-03-22 09:23:54.0 2006-03-22 09:23:54.0 2006-03-22 09:23:54.0 24 24 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 250~~547 383444 bcoY3s64sj Unit CTA1_14, Section CTA1_14-4 IPCTURDUCKEN 1 R1C1 2006-04-06 09:21:41.0 2006-04-06 09:22:14.0 2006-04-06 09:22:14.0 2006-04-06 09:22:14.0 33 33 1 0 0 1 383735 bcoY3s64sj Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 XLT150 1 YCoordinate1_1 2006-05-01 08:21:29.0 2006-05-01 08:21:35.0 2006-05-01 08:21:35.0 2006-05-01 08:21:35.0 6 6 1 0 0 1 Entering a point~~Positive Constants, GLF 9~~12 384031 DS5ecUMGJi Unit CTA1_01, Section CTA1_01-3 L3NOV07 1 R1C2 2005-09-23 08:11:24.0 2005-09-23 08:11:54.0 2005-09-23 08:11:54.0 2005-09-23 08:11:54.0 30 30 1 0 0 1 384299 DS5ecUMGJi Unit CTA1_02, Section CTA1_02-3 L3NOV12 1 YUnit 2005-10-07 08:17:12.0 2005-10-07 08:17:17.0 2005-10-07 08:17:17.0 2005-10-07 08:17:17.0 5 5 1 0 0 1 384535 DS5ecUMGJi Unit ES_01, Section ES_01-8 EG26 1 -x/6*-6 = -42 2005-10-17 07:59:49.0 2005-10-17 08:00:03.0 2005-10-17 08:00:03.0 2005-10-17 08:00:03.0 14 14 1 0 0 1 384778 DS5ecUMGJi Unit CTA1_04, Section CTA1_04-2 PERCENT05 1 0.72D = 967.5 2005-10-28 08:12:19.0 2005-10-28 08:12:24.0 2005-10-28 08:12:24.0 2005-10-28 08:12:24.0 5 5 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 25~~58 385152 DS5ecUMGJi Unit ES_02, Section ES_02-6 EG40 11 -2-1 = -10x 2005-11-18 08:59:20.0 2005-11-18 08:59:27.0 2005-11-18 08:59:27.0 2005-11-18 08:59:27.0 7 7 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 56 385426 DS5ecUMGJi Unit CTA1_13, Section CTA1_13-1 PROP10 1 R4C1 2005-11-29 09:04:31.0 2005-11-29 09:04:37.0 2005-11-29 09:04:37.0 2005-11-29 09:04:37.0 6 6 1 0 0 1 Entering a given 232 386101 DS5ecUMGJi Unit CTA1_06, Section CTA1_06-4 L6FB19 1 1.8B = 243 2006-01-24 09:06:34.0 2006-01-24 09:06:40.0 2006-01-24 09:06:40.0 2006-01-24 09:06:40.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 86~~179 386422 DS5ecUMGJi Unit ES_03, Section ES_03-6 EG51A 3 -30.6y/-30.6 = 48.2/-30.6 2006-02-03 08:52:28.0 2006-02-03 08:52:38.0 2006-02-03 08:52:38.0 2006-02-03 08:52:55.0 27 27 1 0 0 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 42 386879 DS5ecUMGJi Unit CTA1_08, Section CTA1_08-3 REAL37 1 YLabel 2006-02-22 14:46:09.0 2006-02-22 14:46:25.0 2006-02-22 14:46:25.0 2006-02-22 14:46:25.0 16 16 1 0 0 1 Labelling the axes 119 387255 DS5ecUMGJi Unit ES_04, Section ES_04-13 LIT37 1 y/(-t) = -t*x/(-t) 2006-02-28 15:20:34.0 2006-02-28 15:20:39.0 2006-02-28 15:20:39.0 2006-02-28 15:20:39.0 5 5 1 0 0 1 387646 DS5ecUMGJi Unit CTA1_10, Section CTA1_10-4 DISTFB07_SP 1 R1C2 2006-03-10 09:20:19.0 2006-03-10 09:20:45.0 2006-03-10 09:20:45.0 2006-03-10 09:20:45.0 26 26 1 0 0 1 388006 DS5ecUMGJi Unit ES_07, Section ES_07-4 LIT62A 2 (c*j-n*q)/(-w-s) = u*(-w-s)/(-w-s) 2006-03-27 08:56:10.0 2006-03-27 08:56:30.0 2006-03-27 08:56:30.0 2006-03-27 08:56:35.0 25 25 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 107 388216 DS5ecUMGJi Unit CTA1_12, Section CTA1_12-2 SYSFB17 4 YLabel 2006-05-26 08:51:52.0 2006-05-26 08:51:57.0 2006-05-26 08:58:36.0 2006-05-26 08:58:36.0 396 396 0 3 1 1 Labelling the axes 131 388383 dvG32rxRzQ Unit CTA1_01, Section CTA1_01-3 REAL20C 1 R1C1 2005-09-02 08:17:04.0 2005-09-02 08:17:11.0 2005-09-02 08:17:11.0 2005-09-02 08:17:11.0 7 7 1 0 0 1 388639 dvG32rxRzQ Unit CTA1_02, Section CTA1_02-4 BH1T29A 1 yScale 2005-09-07 08:20:03.0 2005-09-07 08:20:10.0 2005-09-07 08:20:10.0 2005-09-07 08:22:05.0 32 32 1 0 0 3 Changing axis intervals 12 388796 dvG32rxRzQ Unit ES_01, Section ES_01-5 EG15A 1 x = 29.7*23 2005-09-09 07:57:04.0 2005-09-09 07:57:06.0 2005-09-09 07:57:06.0 2005-09-09 07:57:06.0 2 2 1 0 0 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] 14 389067 dvG32rxRzQ Unit CTA1_04, Section CTA1_04-3 L2FB15A 1 R5C1 2005-09-12 08:13:37.0 2005-09-12 08:13:40.0 2005-09-12 08:13:40.0 2005-09-12 08:13:40.0 3 3 1 0 0 1 Entering a given 131 389270 dvG32rxRzQ Unit ES_02, Section ES_02-5 EG40 10 -3/3 = 3y/3 2005-09-16 08:21:37.0 2005-09-16 08:21:44.0 2005-09-16 08:21:44.0 2005-09-16 08:21:44.0 7 7 1 0 0 1 389409 dvG32rxRzQ Unit CTA1_13, Section CTA1_13-1 PROP03 1 R5C1 2005-09-23 08:17:50.0 2005-09-23 08:18:02.0 2005-09-23 08:18:02.0 2005-09-23 08:18:02.0 12 12 1 0 0 1 Entering a given 163 390009 dvG32rxRzQ Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 R2C2 2005-10-03 08:23:51.0 2005-10-03 08:23:54.0 2005-10-03 08:23:54.0 2005-10-03 08:23:54.0 3 3 1 0 0 1 Identifying units 108 390214 dvG32rxRzQ Unit ES_03, Section ES_03-6 EG52 1 yR2 2005-10-07 08:13:57.0 2005-10-07 08:14:13.0 2005-10-07 08:14:13.0 2005-10-07 08:14:13.0 16 16 1 0 0 1 390496 dvG32rxRzQ Unit CTA1_08, Section CTA1_08-3 DEC04 1 yMax 2005-10-14 08:19:51.0 2005-10-14 08:20:01.0 2005-10-14 08:20:53.0 2005-10-14 08:20:53.0 13 13 0 1 0 1 Changing axis bounds 160 391029 dvG32rxRzQ Unit ES_04, Section ES_04-16 LIT57A 1 constant factors1R1 2005-10-21 08:21:36.0 2005-10-21 08:21:39.0 2005-10-21 08:21:39.0 2005-10-21 08:21:39.0 3 3 1 0 0 1 391272 dvG32rxRzQ Unit CTA1_10, Section CTA1_10-4 FOR08_SP 1 R3C2 2005-10-27 08:17:52.0 2005-10-27 08:18:00.0 2005-10-27 08:18:24.0 2005-10-27 08:18:24.0 32 32 0 0 4 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 202~~88~~112 391572 dvG32rxRzQ Unit ES_07, Section ES_07-5 LIT76 1 (8y-3)*y = n+r 2005-10-31 09:10:21.0 2005-10-31 09:10:40.0 2005-10-31 09:10:51.0 2005-10-31 09:10:51.0 30 30 0 0 3 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 270 391821 dvG32rxRzQ Unit CTA1_12, Section CTA1_12-4 SYSFB04 1 R3C2 2005-11-04 09:05:45.0 2005-11-04 09:05:54.0 2005-11-04 09:06:03.0 2005-11-04 09:06:03.0 18 18 0 1 0 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 233~~133~~27 392254 dvG32rxRzQ Unit ES_05, Section ES_05-8 EG61 4 FinalAnswer 2005-11-21 08:54:50.0 2005-11-21 08:54:56.0 2005-11-21 08:54:56.0 2005-11-21 08:54:56.0 6 6 1 0 0 1 combine-like-terms-sp 75 392682 dvG32rxRzQ Unit CTA1_14, Section CTA1_14-4 IPCCHEF 1 R6C1 2005-12-02 09:25:48.0 2005-12-02 09:25:52.0 2005-12-02 09:25:52.0 2005-12-02 09:25:52.0 4 4 1 0 0 1 Using small numbers~~Find X, negative slope~~Using difficult numbers 268~~38~~140 393114 dvG32rxRzQ Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT-2X 1 XCoordinate1_2 2005-12-19 09:12:36.0 2005-12-19 09:12:38.0 2005-12-19 09:12:56.0 2005-12-19 09:12:56.0 20 20 0 2 2 1 Negative Constant, SIF 25 393427 dvG32rxRzQ Unit CTA1_15, Section CTA1_15-3 SYS09 1 Intersection 1 X 2006-01-03 09:01:58.0 2006-01-03 09:02:22.0 2006-01-03 09:02:22.0 2006-01-03 09:02:22.0 24 24 1 0 0 1 Labelling point of intersection 43 393717 dvG32rxRzQ Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE3TRE 1 R8C2 2006-01-06 09:15:21.0 2006-01-06 09:15:28.0 2006-01-06 09:15:28.0 2006-01-06 09:15:28.0 7 7 1 0 0 1 Entering a computed linear value 49 393847 dvG32rxRzQ Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR27 1 c-factor-2 2006-01-20 09:18:05.0 2006-01-20 09:18:07.0 2006-01-20 09:18:07.0 2006-01-20 09:18:07.0 2 2 1 0 0 1 394163 dvG32rxRzQ Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR18 1 a-factor-node 2006-01-24 09:16:47.0 2006-01-24 09:16:49.0 2006-01-24 09:16:49.0 2006-01-24 09:16:49.0 2 2 1 0 0 1 394520 dvG32rxRzQ Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD9TRE 1 R6C1 2006-02-03 08:48:59.0 2006-02-03 08:49:04.0 2006-02-03 08:59:45.0 65 65 0 4 3 0 Entering a computed linear value 83 394778 dvG32rxRzQ Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01-FIXED 1 yR2 2006-02-13 08:51:17.0 2006-02-13 08:51:22.0 2006-02-13 08:51:22.0 2006-02-13 08:51:22.0 5 5 1 0 0 1 perform-mult-row2-sp 29 395199 dvG32rxRzQ Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 3 row3-D-constant factors 2006-02-17 09:10:40.0 2006-02-17 09:10:41.0 2006-02-17 09:10:41.0 2006-02-17 09:12:46.0 3 3 1 0 0 3 395479 dvG32rxRzQ Unit CTA1_20, Section CTA1_20-2 PSNPOLEVAULT 1 R5C2 2006-02-27 09:23:15.0 2006-02-27 09:23:21.0 2006-02-27 09:23:21.0 2006-02-27 09:23:21.0 6 6 1 0 0 1 Entering a given 694 395671 dvG32rxRzQ Unit CTA1_21, Section CTA1_21-2 FEB12 1 R3C1 2006-03-10 09:06:06.0 2006-03-10 09:06:08.0 2006-03-10 09:06:08.0 2006-03-10 09:06:08.0 2 2 1 0 0 1 Define Variable 218 395891 dvG32rxRzQ Unit CTA1_22, Section CTA1_22-1 SYSFB15 1 R3C2 2006-03-20 08:51:24.0 2006-03-20 08:52:09.0 2006-03-20 08:52:39.0 2006-03-20 08:52:39.0 75 75 0 2 3 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 455~~159~~244 396063 dvG32rxRzQ Unit ES_06, Section ES_06-1 EG63 5 78.24x-1946.6112-8.76 = -1.5+25.95x*(25/(49x)-84.01) 2006-03-20 09:26:56.0 2006-03-20 09:26:58.0 2006-03-20 09:26:58.0 2006-03-20 09:26:58.0 2 2 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 124 396172 dvG32rxRzQ Unit CTA1_24, Section CTA1_24-1 L5FB05 1 ValidEquations 2006-03-23 09:16:17.0 2006-03-23 09:16:27.0 2006-03-23 09:16:27.0 2006-03-23 09:16:44.0 14 14 1 0 0 3 396388 dvG32rxRzQ Unit CTA1_25, Section CTA1_25-1 REAL35 1 R5C2 2006-03-31 09:09:15.0 2006-03-31 09:09:21.0 2006-03-31 09:09:21.0 2006-03-31 09:09:21.0 6 6 1 0 0 1 Entering a given 803 396496 dvG32rxRzQ Unit CTA1_26, Section CTA1_26-1 BH1T38 1 R2C1 2006-03-31 09:22:38.0 2006-03-31 09:22:44.0 2006-03-31 09:22:44.0 2006-03-31 09:22:44.0 6 6 1 0 0 1 Identifying units 413 396618 dvG32rxRzQ Unit CTA1_27, Section CTA1_27-1 DIST01 1 ValidEquations 2006-04-03 07:59:25.0 2006-04-03 07:59:41.0 2006-04-03 07:59:41.0 2006-04-03 08:00:17.0 20 20 1 0 0 3 397874 dvG32rxRzQ Unit QuadLinearFuncTrans, Section QLFuncTrans8 TRANSFORMG052 2 ALGEBRAIC-TRANSFORMATIONS-a 2006-04-10 08:23:43.0 2006-04-10 08:23:49.0 2006-04-10 08:23:49.0 2006-04-10 08:23:49.0 6 6 1 0 0 1 Edit Algebraic a 65 398865 E38It7fjg0 Unit CTA1_01, Section CTA1_01-3 BH1T28A 1 R5C2 2005-09-26 08:16:56.0 2005-09-26 08:17:11.0 2005-09-26 08:17:19.0 2005-09-26 08:17:19.0 23 23 0 1 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 46~~27~~2 399261 E38It7fjg0 Unit CTA1_02, Section CTA1_02-4 REAL28 1 R3C2 2005-10-07 08:11:54.0 2005-10-07 08:12:21.0 2005-10-07 08:12:21.0 2005-10-07 08:12:21.0 27 27 1 0 0 1 Using small numbers~~Write expression, negative slope~~Using simple numbers 75~~8~~155 399434 E38It7fjg0 Unit ES_01, Section ES_01-6 EG21 2 y+6-6 = 1 2005-10-11 08:13:28.0 2005-10-11 08:13:39.0 2005-10-11 08:13:39.0 2005-10-11 08:13:39.0 11 11 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 17 399798 E38It7fjg0 Unit CTA1_04, Section CTA1_04-3 L2FB15A 1 ValidEquations 2005-10-14 08:21:56.0 2005-10-14 08:22:19.0 2005-10-14 08:22:19.0 2005-10-14 08:22:46.0 32 32 1 0 0 3 400037 E38It7fjg0 Unit ES_02, Section ES_02-10 EG44 2 4y = -2/y*y 2005-10-21 07:56:50.0 2005-10-21 07:56:54.0 2005-10-21 07:56:54.0 2005-10-21 07:56:56.0 6 6 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 17 400109 E38It7fjg0 Unit CTA1_13, Section CTA1_13-1 PROP12 1 R1C2 2005-10-21 08:15:03.0 2005-10-21 08:15:37.0 2005-10-21 08:15:37.0 2005-10-21 08:15:37.0 34 34 1 0 0 1 400742 E38It7fjg0 Unit CTA1_06, Section CTA1_06-4 BH1T51 1 R2C1 2005-11-10 09:17:17.0 2005-11-10 09:17:22.0 2005-11-10 09:17:31.0 2005-11-10 09:17:31.0 14 14 0 1 0 1 Identifying units 131 401095 E38It7fjg0 Unit ES_03, Section ES_03-8 LIT11A 1 -n = t-2 2005-11-18 09:23:52.0 2005-11-18 09:24:05.0 2005-11-18 09:24:20.0 2005-11-18 09:24:20.0 28 28 0 1 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 194~~18 401301 E38It7fjg0 Unit CTA1_08, Section CTA1_08-3 PERCENT12 1 Formula 1 Coeff 1 2005-11-29 09:06:47.0 2005-11-29 09:06:51.0 2005-11-29 09:06:51.0 2005-11-29 09:06:51.0 4 4 1 0 0 1 Setting the slope 15 401767 E38It7fjg0 Unit ES_04, Section ES_04-15 LIT60 1 b*q = (c*w-n*b*u)/n 2005-12-16 09:25:04.0 2005-12-16 09:25:16.0 2005-12-16 09:25:16.0 2005-12-16 09:25:16.0 12 12 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 282 402087 E38It7fjg0 Unit CTA1_10, Section CTA1_10-5 DIST05_SP 1 R5C1 2006-01-03 08:50:07.0 2006-01-03 08:50:34.0 2006-01-03 08:50:34.0 2006-01-03 08:50:34.0 27 27 1 0 0 1 Entering a given 410 402251 E38It7fjg0 Unit ES_07, Section ES_07-6 LIT81A 1 a*h-7g+7g = q*k+7g 2006-01-06 09:08:46.0 2006-01-06 09:08:55.0 2006-01-06 09:08:55.0 2006-01-06 09:09:00.0 14 14 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 69 402652 E38It7fjg0 Unit CTA1_12, Section CTA1_12-6 SYSFB03 1 15H = 75 2006-01-24 09:23:14.0 2006-01-24 09:23:18.0 2006-01-24 09:23:18.0 2006-01-24 09:23:18.0 4 4 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 184~~350 402757 E38It7fjg0 Unit ES_05, Section ES_05-7 EG61 3 0.47y = 2.77y+19.17 2006-01-27 09:15:31.0 2006-01-27 09:15:44.0 2006-01-27 09:15:44.0 2006-01-27 09:15:44.0 13 13 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 32 403099 E38It7fjg0 Unit CTA1_14, Section CTA1_14-3 2PTS08 1 R1C1 2006-02-10 08:54:40.0 2006-02-10 08:54:45.0 2006-02-10 08:54:45.0 2006-02-10 08:54:45.0 5 5 1 0 0 1 403540 E38It7fjg0 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 2X+3YGT9 1 ShadeButton1 2006-03-13 09:06:40.0 2006-03-13 09:08:29.0 2006-03-13 09:08:34.0 2006-03-13 09:08:34.0 114 114 0 1 0 1 Excluding the line when shading~~Shading greater than~~Shading GLF equation with negative slope 7~~12~~4 403913 E38It7fjg0 Unit CTA1_15, Section CTA1_15-3 SYS07 2 R3C3 2006-05-15 07:45:46.0 2006-05-15 07:45:49.0 2006-05-15 07:46:45.0 2006-05-15 07:46:45.0 27 27 0 1 0 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 405~~239~~36 404069 E38It7fjg0 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE7TRE 1 R6C1 2006-06-01 09:21:35.0 2006-06-01 09:21:38.0 2006-06-01 09:21:38.0 2006-06-01 09:21:38.0 3 3 1 0 0 1 Entering a computed linear value 19 404268 gPaagaJ8aq Unit CTA1_01, Section CTA1_01-3 L3NOV07A 1 R2C1 2005-09-12 08:24:18.0 2005-09-12 08:24:25.0 2005-09-12 08:27:13.0 2005-09-12 08:27:13.0 32 32 0 3 2 1 Identifying units 26 404565 gPaagaJ8aq Unit CTA1_02, Section CTA1_02-3 L3NOV12A 1 R1C2 2005-10-07 08:06:48.0 2005-10-07 08:07:22.0 2005-10-07 08:07:22.0 2005-10-07 08:07:22.0 34 34 1 0 0 1 404882 gPaagaJ8aq Unit ES_01, Section ES_01-8 EG26 1 x = 6*-6 2005-10-17 07:53:38.0 2005-10-17 07:53:41.0 2005-10-17 07:53:44.0 2005-10-17 07:53:50.0 12 12 0 1 0 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] 15 405139 gPaagaJ8aq Unit CTA1_04, Section CTA1_04-3 BH1T41A 1 R7C2 2005-10-31 09:19:09.0 2005-10-31 09:19:18.0 2005-10-31 09:19:18.0 2005-10-31 09:19:18.0 9 9 1 0 0 1 Entering a given 184 405671 gPaagaJ8aq Unit ES_02, Section ES_02-8 EG41 2 -y = 4*8 2006-01-18 09:24:18.0 2006-01-18 09:24:32.0 2006-01-18 09:24:38.0 2006-01-18 09:24:38.0 20 20 0 0 2 1 406034 gPaagaJ8aq Unit CTA1_13, Section CTA1_13-1 PROP02 1 R1C2 2006-02-08 15:19:23.0 2006-02-08 15:20:34.0 2006-02-08 15:20:34.0 2006-02-08 15:20:34.0 71 71 1 0 0 1 406600 gPaagaJ8aq Unit CTA1_06, Section CTA1_06-3 BH1T43 1 20P = 12720 2006-03-13 09:09:41.0 2006-03-13 09:09:46.0 2006-03-13 09:09:46.0 2006-03-13 09:09:46.0 5 5 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 95~~158 407223 gPaagaJ8aq Unit ES_03, Section ES_03-7 LIT11 1 2-m = s 2006-03-27 14:22:24.0 2006-03-27 14:22:33.0 2006-03-27 14:22:33.0 2006-03-27 14:22:33.0 9 9 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 186 407531 gPaagaJ8aq Unit CTA1_08, Section CTA1_08-2 FEB09 2 yScale 2006-04-03 07:49:06.0 2006-04-03 07:49:14.0 2006-04-03 07:49:14.0 2006-04-03 07:50:58.0 72 72 1 0 0 9 Changing axis intervals 72 408279 gPaagaJ8aq Unit ES_04, Section ES_04-16 LIT60A 1 q*c*(v+r) = d*x 2006-04-28 09:06:06.0 2006-04-28 09:09:33.0 2006-04-28 09:09:33.0 2006-04-28 09:09:33.0 207 207 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 92 408476 gPaagaJ8aq Unit CTA1_10, Section CTA1_10-3 DISTFB01_SP 1 P-12 = 7 2006-05-26 08:56:39.0 2006-05-26 08:56:43.0 2006-05-26 08:56:43.0 2006-05-26 08:56:43.0 4 4 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 301~~18 408686 Gwk4z777oU Unit CTA1_01, Section CTA1_01-3 BH1T33 1 R5C2 2005-09-09 09:00:10.0 2005-09-09 09:00:58.0 2005-09-09 09:00:58.0 2005-09-09 09:00:58.0 48 48 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 39~~20~~4 409041 Gwk4z777oU Unit CTA1_02, Section CTA1_02-4 REAL19 1 R1C2 2005-09-29 08:17:48.0 2005-09-29 08:18:11.0 2005-09-29 08:18:11.0 2005-09-29 08:18:11.0 23 23 1 0 0 1 409294 Gwk4z777oU Unit ES_01, Section ES_01-10 EG27 3 -7/-1 = -x/-1 2005-10-11 07:58:48.0 2005-10-11 07:58:54.0 2005-10-11 07:58:54.0 2005-10-11 07:58:54.0 6 6 1 0 0 1 409514 Gwk4z777oU Unit CTA1_04, Section CTA1_04-3 L2FB15B 1 0.19X = 19.65 2005-10-26 08:27:41.0 2005-10-26 08:27:46.0 2005-10-26 08:27:58.0 2005-10-26 08:27:58.0 17 17 0 0 1 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 14~~29 409800 Gwk4z777oU Unit ES_02, Section ES_02-10 EG44 1 2 = -9y 2005-11-04 09:16:36.0 2005-11-04 09:16:47.0 2005-11-04 09:17:17.0 2005-11-04 09:17:17.0 41 41 0 2 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 67~~32 409962 Gwk4z777oU Unit CTA1_13, Section CTA1_13-1 PROP01 1 ValidEquations 2005-11-18 08:46:05.0 2005-11-18 08:47:02.0 2005-11-18 08:47:02.0 2005-11-18 08:47:02.0 57 57 1 0 0 2 410649 Gwk4z777oU Unit CTA1_06, Section CTA1_06-5 FBSMR3 2 YLabel 2005-12-20 09:03:06.0 2005-12-20 09:03:25.0 2005-12-20 09:03:25.0 2005-12-20 09:03:25.0 19 19 1 0 0 1 Labelling the axes 78 410955 Gwk4z777oU Unit ES_03, Section ES_03-6 EG52 1 y1R1 2006-01-06 09:28:12.0 2006-01-06 09:28:19.0 2006-01-06 09:28:19.0 2006-01-06 09:28:19.0 7 7 1 0 0 1 411391 Gwk4z777oU Unit CTA1_08, Section CTA1_08-3 REAL37 2 Formula 1 Coeff 1 2006-01-26 07:39:22.0 2006-01-26 07:39:31.0 2006-01-26 07:40:02.0 2006-01-26 07:40:02.0 40 40 0 4 5 1 Setting the slope 19 411960 Gwk4z777oU Unit ES_04, Section ES_04-14 LIT31A 1 row1-D-m 2006-01-31 07:47:50.0 2006-01-31 07:47:51.0 2006-01-31 07:47:51.0 2006-01-31 07:49:50.0 7 7 1 0 0 2 412339 Gwk4z777oU Unit CTA1_10, Section CTA1_10-4 DIST02_SP 2 ValidEquations 2006-02-06 08:51:47.0 2006-02-06 08:52:11.0 2006-02-06 08:54:24.0 2006-02-06 08:54:24.0 93 93 0 2 0 2 412641 Gwk4z777oU Unit ES_07, Section ES_07-4 LIT69A 2 z*u = 16n-z*g+n*j 2006-02-09 07:48:56.0 2006-02-09 07:49:07.0 2006-02-09 07:49:07.0 2006-02-09 07:49:07.0 11 11 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 295 413051 Gwk4z777oU Unit CTA1_12, Section CTA1_12-5 SYSFB05 1 R4C1 2006-02-17 08:23:46.0 2006-02-17 08:23:52.0 2006-02-17 08:23:52.0 2006-02-17 08:23:52.0 6 6 1 0 0 1 Entering a given 450 413519 Gwk4z777oU Unit ES_05, Section ES_05-12 LIT41 1 a*x/x = (c-b*y)/x 2006-02-27 08:59:05.0 2006-02-27 08:59:08.0 2006-02-27 08:59:08.0 2006-02-27 08:59:36.0 31 31 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 111 413862 Gwk4z777oU Unit CTA1_14, Section CTA1_14-4 TPH15 1 R3C2 2006-03-08 14:53:18.0 2006-03-08 14:53:22.0 2006-03-08 14:54:06.0 2006-03-08 14:54:06.0 48 48 0 0 4 1 Using large numbers~~Using difficult numbers~~Write expression, initial and point 196~~198~~8 414314 Gwk4z777oU Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLT3X+5 1 xMax 2006-03-23 09:22:37.0 2006-03-23 09:22:40.0 2006-03-23 09:22:40.0 2006-03-23 09:22:40.0 3 3 1 0 0 1 414787 Gwk4z777oU Unit CTA1_15, Section CTA1_15-3 SYSFB06 2 125000 = 110X 2006-04-03 08:45:06.0 2006-04-03 08:45:10.0 2006-04-03 08:45:10.0 2006-04-03 08:45:10.0 4 4 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 216~~529 414945 Gwk4z777oU Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE8TRE 2 Point 1.2 2006-04-06 09:29:17.0 2006-04-06 09:30:14.0 2006-04-06 09:30:14.0 57 57 0 0 1 0 Correctly placing points 27 415096 Gwk4z777oU Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR21 1 FinalAnswer 2006-05-08 09:15:55.0 2006-05-08 09:16:22.0 2006-05-08 09:16:22.0 2006-05-08 09:16:22.0 27 27 1 0 0 1 factor-quadratic-sp 9 415402 Gwk4z777oU Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR05 6 c-factor-1 2006-05-19 09:08:03.0 2006-05-19 09:08:04.0 2006-05-19 09:08:04.0 2006-05-19 09:08:04.0 1 1 1 0 0 1 415665 Gwk4z777oU Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD6TRE 1 b-factor-node 2006-06-07 08:22:10.0 2006-06-07 08:22:11.0 2006-06-07 08:22:11.0 2006-06-07 08:22:11.0 1 1 1 0 0 1 415930 i8f2gg51r5 Unit CTA1_01, Section CTA1_01-4 JAN13B 1 R5C2 2005-09-07 07:59:09.0 2005-09-07 07:59:25.0 2005-09-07 07:59:25.0 2005-09-07 07:59:25.0 16 16 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 80~~46~~22 416060 i8f2gg51r5 Unit CTA1_02, Section CTA1_02-3 BH1T39 1 xMax 2005-09-08 11:21:27.0 2005-09-08 11:21:36.0 2005-09-08 11:21:36.0 2005-09-08 11:21:36.0 9 9 1 0 0 1 Changing axis bounds 17 416367 i8f2gg51r5 Unit ES_01, Section ES_01-11 EG27 4 -1/-1 = -y/-1 2005-09-09 11:40:20.0 2005-09-09 11:40:39.0 2005-09-09 11:40:39.0 2005-09-09 11:40:45.0 25 25 1 0 0 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] 4 416576 i8f2gg51r5 Unit CTA1_04, Section CTA1_04-3 PERCENT14C 1 R5C1 2005-09-12 11:18:42.0 2005-09-12 11:18:46.0 2005-09-12 11:18:46.0 2005-09-12 11:18:46.0 4 4 1 0 0 1 Entering a given 167 416764 i8f2gg51r5 Unit ES_02, Section ES_02-6 EG40 4 -2-8x = 1 2005-09-14 11:10:26.0 2005-09-14 11:10:31.0 2005-09-14 11:10:31.0 2005-09-14 11:10:31.0 5 5 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 38~~11 416948 i8f2gg51r5 Unit CTA1_13, Section CTA1_13-1 PROP09 1 R1C1 2005-09-15 11:13:20.0 2005-09-15 11:13:36.0 2005-09-15 11:13:36.0 2005-09-15 11:13:36.0 16 16 1 0 0 1 417600 i8f2gg51r5 Unit CTA1_06, Section CTA1_06-4 BH1T51 1 -200A-2500 = -12000 2005-09-23 08:20:08.0 2005-09-23 08:20:16.0 2005-09-23 08:20:22.0 2005-09-23 08:20:22.0 14 14 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 90~~20 417910 i8f2gg51r5 Unit ES_03, Section ES_03-8 LIT2A 1 z-c = y 2005-09-27 11:14:01.0 2005-09-27 11:14:35.0 2005-09-27 11:14:35.0 2005-09-27 11:14:35.0 34 34 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 129 418114 i8f2gg51r5 Unit CTA1_08, Section CTA1_08-3 DEC04 1 R1C1 2005-09-28 11:17:28.0 2005-09-28 11:18:14.0 2005-09-28 11:20:12.0 2005-09-28 11:20:12.0 164 164 0 1 0 1 418432 i8f2gg51r5 Unit ES_04, Section ES_04-12 EG58A 6 -27(17y-46)-20y = 29 2005-09-29 11:37:07.0 2005-09-29 11:37:10.0 2005-09-29 11:37:10.0 2005-09-29 11:37:49.0 11 11 1 0 0 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 60 418795 i8f2gg51r5 Unit CTA1_10, Section CTA1_10-3 DISTFB04_SP 1 R5C2 2005-09-30 11:46:17.0 2005-09-30 11:46:19.0 2005-09-30 11:46:19.0 2 2 0 1 0 0 Using small numbers~~Using difficult numbers~~Find Y, any form 250~~140~~5 419135 i8f2gg51r5 Unit ES_07, Section ES_07-4 LIT62A 1 INNERu1 2005-10-04 11:25:57.0 2005-10-04 11:26:01.0 2005-10-04 11:26:01.0 2005-10-04 11:26:01.0 4 4 1 0 0 1 419617 i8f2gg51r5 Unit CTA1_12, Section CTA1_12-4 SYSFB23 1 yScale 2005-10-11 11:31:52.0 2005-10-11 11:31:55.0 2005-10-11 11:31:55.0 2005-10-11 11:31:55.0 3 3 1 0 0 1 Changing axis intervals 98 420038 i8f2gg51r5 Unit ES_05, Section ES_05-10 EG62A 4 5089.54-384.84y = -8002.54+826.09y 2005-10-14 11:04:11.0 2005-10-14 11:04:19.0 2005-10-14 11:04:40.0 2005-10-14 11:04:40.0 29 29 0 1 2 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 96 420371 i8f2gg51r5 Unit CTA1_14, Section CTA1_14-4 LDEMO_PTPT 1 R1C1 2005-10-17 11:30:22.0 2005-10-17 11:30:44.0 2005-10-17 11:30:44.0 2005-10-17 11:30:44.0 22 22 1 0 0 1 420828 i8f2gg51r5 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-2X-2YGE9 4 yScale 2005-10-20 11:34:47.0 2005-10-20 11:35:04.0 2005-10-20 11:35:04.0 2005-10-20 11:35:04.0 17 17 1 0 0 1 421328 i8f2gg51r5 Unit CTA1_15, Section CTA1_15-3 SYS10 1 R1C3 2005-10-28 07:52:44.0 2005-10-28 07:52:57.0 2005-10-28 07:52:57.0 2005-10-28 07:52:57.0 13 13 1 0 0 1 421524 i8f2gg51r5 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE2TRE 1 R4C3 2005-10-28 11:13:12.0 2005-10-28 11:13:16.0 2005-10-28 11:13:16.0 2005-10-28 11:13:16.0 4 4 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, any form~~Entering a computed quadratic value 445~~408~~15~~9 421846 i8f2gg51r5 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR22 1 a-factor-1 2006-01-30 09:26:50.0 2006-01-30 09:26:53.0 2006-01-30 09:26:53.0 2006-01-30 09:27:59.0 8 8 1 0 0 3 422054 i8f2gg51r5 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR27 1 2x+1 = 0 2006-02-03 09:25:27.0 2006-02-03 09:25:33.0 2006-02-03 09:25:33.0 2006-02-03 09:25:45.0 18 18 1 0 0 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 483 422549 i8f2gg51r5 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD8TRE 1 (-2000?sqrt(2000^2-4*-16*-40000))/(2*-16) = a 2006-03-07 12:08:59.0 2006-03-07 12:09:03.0 2006-03-07 12:09:03.0 2006-03-07 12:09:03.0 4 4 1 0 0 1 422621 i8f2gg51r5 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS09 2 FinalAnswer 2006-03-07 14:16:25.0 2006-03-07 14:16:34.0 2006-03-07 14:16:34.0 2006-03-07 14:16:34.0 9 9 1 0 0 1 perform-mult-sp 28 422914 i8f2gg51r5 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01 2 row1-N-constant factors 2006-03-10 09:04:46.0 2006-03-10 09:04:48.0 2006-03-10 09:04:48.0 2006-03-10 09:04:48.0 2 2 1 0 0 1 423292 i8f2gg51r5 Unit CTA1_20, Section CTA1_20-2 1PTFB17 1 19958.8A+79835.2 = 0 2006-04-07 08:50:13.0 2006-04-07 08:50:40.0 2006-04-07 08:50:40.0 2006-04-07 08:50:40.0 27 27 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 529 423458 i8f2gg51r5 Unit CTA1_21, Section CTA1_21-3 DEC06 1 R3C2 2006-04-07 09:18:22.0 2006-04-07 09:18:52.0 2006-04-07 09:19:01.0 2006-04-07 09:19:01.0 39 39 0 1 0 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 497~~178~~275 423688 i8f2gg51r5 Unit CTA1_22, Section CTA1_22-1 SYSFB07 1 725 = 9A 2006-04-20 13:54:11.0 2006-04-20 13:54:14.0 2006-04-20 13:54:14.0 2006-04-20 13:54:14.0 3 3 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 304~~651 423828 i8f2gg51r5 Unit ES_06, Section ES_06-1 EG63A 5 -281023.1058x = -345304.97651771 2006-04-28 08:51:58.0 2006-04-28 08:52:08.0 2006-04-28 08:52:08.0 2006-04-28 08:52:08.0 10 10 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 665~~192 423920 i8f2gg51r5 Unit CTA1_24, Section CTA1_24-1 PROP16 1 R3C2 2006-04-28 09:13:03.0 2006-04-28 09:13:29.0 2006-04-28 09:14:06.0 2006-04-28 09:14:06.0 63 63 0 1 4 1 Write expression, positive slope~~Using large numbers~~Using difficult numbers 201~~303~~303 424090 i8f2gg51r5 Unit CTA1_25, Section CTA1_25-1 DEC07 1 R4C1 2006-04-28 14:16:29.0 2006-04-28 14:16:34.0 2006-04-28 14:16:34.0 2006-04-28 14:16:34.0 5 5 1 0 0 1 Entering a given 857 424351 i8f2gg51r5 Unit CTA1_26, Section CTA1_26-1 REAL05 1 R2C2 2006-05-08 08:19:05.0 2006-05-08 08:19:07.0 2006-05-08 08:19:07.0 2006-05-08 08:19:07.0 2 2 1 0 0 1 Identifying units 465 424547 i8f2gg51r5 Unit CTA1_27, Section CTA1_27-1 PERCENT16 1 R4C1 2006-05-12 12:13:48.0 2006-05-12 12:13:54.0 2006-05-12 12:13:54.0 2006-05-12 12:13:54.0 6 6 1 0 0 1 Entering a given 903 424984 i8f2gg51r5 Unit QuadLinearFuncTrans, Section QLFuncTrans3 TRANSFORMA011 2 ParentDescChoice 2006-05-26 12:10:09.0 2006-05-26 12:10:12.0 2006-05-26 12:10:13.0 2006-05-26 12:10:13.0 4 4 0 1 0 1 Identify Parent Description 51 425433 k3jBd30ocz Unit CTA1_01, Section CTA1_01-4 REAL32C 1 R3C1 2005-09-27 07:42:04.0 2005-09-27 07:42:07.0 2005-09-27 07:42:07.0 2005-09-27 07:42:07.0 3 3 1 0 0 1 Define Variable 20 425741 k3jBd30ocz Unit CTA1_02, Section CTA1_02-4 REAL28 1 R7C2 2005-10-17 07:50:26.0 2005-10-17 07:50:39.0 2005-10-17 07:50:39.0 2005-10-17 07:50:39.0 13 13 1 0 0 1 Entering a given 117 425748 k3jBd30ocz Unit ES_01, Section ES_01-1 EG1-FIXED 1 7(8+2) 2005-10-17 07:53:33.0 2005-10-17 07:53:53.0 2005-10-17 07:53:53.0 2005-10-17 07:53:53.0 20 20 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 1~~1 425749 k3jBd30ocz Unit CTA1_02, Section CTA1_02-4 L2FB14B 1 R1C1 2005-10-17 07:53:40.0 2005-10-17 07:53:45.0 2005-10-17 07:53:57.0 2005-10-17 07:53:57.0 17 17 0 0 2 1 425752 k3jBd30ocz Unit ES_01, Section ES_01-1 EG4 1 6*12 2005-10-17 07:54:11.0 2005-10-17 07:54:16.0 2005-10-17 07:54:16.0 2005-10-17 07:54:16.0 5 5 1 0 0 1 425757 k3jBd30ocz Unit CTA1_02, Section CTA1_02-4 L2FB14B 1 R5C1 2005-10-17 07:55:47.0 2005-10-17 07:55:51.0 2005-10-17 07:55:51.0 2005-10-17 07:55:51.0 4 4 1 0 0 1 Entering a given 119 425760 k3jBd30ocz Unit ES_01, Section ES_01-1 EG2 1 42+5 2005-10-17 07:54:30.0 2005-10-17 07:55:52.0 2005-10-17 07:56:06.0 2005-10-17 07:56:06.0 96 96 0 1 0 1 [SkillRule: Consolidate vars with coeff; CLT] 1 425762 k3jBd30ocz Unit CTA1_02, Section CTA1_02-4 L2FB14B 1 R4C2 2005-10-17 07:56:40.0 2005-10-17 07:57:09.0 2005-10-17 07:57:09.0 2005-10-17 07:57:09.0 29 29 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 155~~77~~18 425769 k3jBd30ocz Unit ES_01, Section ES_01-1 EG2 2 30+1 2005-10-17 07:58:52.0 2005-10-17 07:58:57.0 2005-10-17 07:58:57.0 2005-10-17 07:58:57.0 5 5 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 4 425774 k3jBd30ocz Unit CTA1_02, Section CTA1_02-4 L2FB14B 1 R6C2 2005-10-17 07:57:35.0 2005-10-17 07:59:55.0 2005-10-17 07:59:55.0 2005-10-17 07:59:55.0 140 140 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 157~~79~~20 425789 k3jBd30ocz Unit ES_01, Section ES_01-1 EG1 4 3+8*1 2005-10-17 08:02:07.0 2005-10-17 08:02:11.0 2005-10-17 08:02:11.0 2005-10-17 08:02:11.0 4 4 1 0 0 1 [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] 7 425792 k3jBd30ocz Unit CTA1_02, Section CTA1_02-4 L2FB14B 1 R7C2 2005-10-17 07:59:55.0 2005-10-17 08:02:49.0 2005-10-17 08:02:49.0 2005-10-17 08:02:49.0 174 174 1 0 0 1 Entering a given 121 425793 k3jBd30ocz Unit ES_01, Section ES_01-2 EG4 1 FinalAnswer 2005-10-17 08:02:28.0 2005-10-17 08:02:38.0 2005-10-17 08:03:05.0 2005-10-17 08:03:19.0 42 42 0 1 0 2 perform-mult-sp~~combine-like-terms-whole-sp 1~~1 425794 k3jBd30ocz Unit CTA1_02, Section CTA1_02-4 L2FB14B 1 YLabel 2005-10-17 08:03:00.0 2005-10-17 08:03:08.0 2005-10-17 08:03:08.0 2005-10-17 08:03:08.0 8 8 1 0 0 1 Labelling the axes 27 425795 k3jBd30ocz Unit ES_01, Section ES_01-2 EG4 1 12*10 2005-10-17 08:03:05.0 2005-10-17 08:03:14.0 2005-10-17 08:03:14.0 2005-10-17 08:03:14.0 9 9 1 0 0 1 425797 k3jBd30ocz Unit CTA1_02, Section CTA1_02-4 L2FB14B 1 xMax 2005-10-17 08:03:16.0 2005-10-17 08:03:24.0 2005-10-17 08:03:24.0 2005-10-17 08:03:24.0 8 8 1 0 0 1 Changing axis bounds 30 425798 k3jBd30ocz Unit ES_01, Section ES_01-2 EG3 1 (1+5)*3 2005-10-17 08:03:24.0 2005-10-17 08:03:29.0 2005-10-17 08:03:38.0 2005-10-17 08:03:38.0 14 14 0 1 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 11~~11 425800 k3jBd30ocz Unit CTA1_02, Section CTA1_02-4 L2FB14B 1 yScale 2005-10-17 08:03:45.0 2005-10-17 08:03:52.0 2005-10-17 08:03:52.0 2005-10-17 08:05:45.0 29 29 1 0 0 4 Changing axis intervals 22 425803 k3jBd30ocz Unit ES_01, Section ES_01-2 EG1 1 6+7*2 2005-10-17 08:04:34.0 2005-10-17 08:04:45.0 2005-10-17 08:04:52.0 2005-10-17 08:04:52.0 18 18 0 1 0 1 [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] 8 425806 k3jBd30ocz Unit CTA1_02, Section CTA1_02-4 L2FB14B 1 xMin 2005-10-17 08:03:57.0 2005-10-17 08:05:28.0 2005-10-17 08:05:28.0 2005-10-17 08:05:28.0 91 91 1 0 0 2 Changing axis bounds 32 425978 k3jBd30ocz Unit ES_01, Section ES_01-8 EG23 1 8y/8 = -5/8 2005-10-18 14:52:26.0 2005-10-18 14:53:24.0 2005-10-18 14:53:24.0 2005-10-18 14:53:24.0 58 58 1 0 0 1 426062 k3jBd30ocz Unit CTA1_04, Section CTA1_04-2 PERCENT01A 1 ValidEquations 2005-10-21 07:50:06.0 2005-10-21 07:50:36.0 2005-10-21 07:50:36.0 2005-10-21 07:51:15.0 43 43 1 0 0 4 426068 k3jBd30ocz Unit ES_01, Section ES_01-11 EG27 2 -x/-1 = 1/-1 2005-10-21 07:52:17.0 2005-10-21 07:52:20.0 2005-10-21 07:52:20.0 2005-10-21 07:54:09.0 58 58 1 3 2 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] 2 426078 k3jBd30ocz Unit CTA1_04, Section CTA1_04-2 EMX03B 1 R6C1 2005-10-21 07:54:26.0 2005-10-21 07:54:27.0 2005-10-21 07:54:27.0 2005-10-21 07:54:27.0 1 1 1 0 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 86~~10~~8 426080 k3jBd30ocz Unit ES_01, Section ES_01-11 EG27 3 -y/-1 = 1/-1 2005-10-21 07:54:41.0 2005-10-21 07:54:49.0 2005-10-21 07:55:00.0 2005-10-21 07:55:19.0 19 19 0 1 2 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] 3 426083 k3jBd30ocz Unit CTA1_04, Section CTA1_04-2 BH1T31A 1 R1C1 2005-10-21 07:55:07.0 2005-10-21 07:55:15.0 2005-10-21 07:55:30.0 2005-10-21 07:55:30.0 20 20 0 0 3 1 426085 k3jBd30ocz Unit ES_01, Section ES_01-11 EG27 4 -7 = -x 2005-10-21 07:55:34.0 2005-10-21 07:55:37.0 2005-10-21 07:55:37.0 2005-10-21 07:55:37.0 3 3 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 35~~16~~9 426086 k3jBd30ocz Unit CTA1_04, Section CTA1_04-2 BH1T31A 1 R3C1 2005-10-21 07:55:37.0 2005-10-21 07:55:40.0 2005-10-21 07:55:40.0 2005-10-21 07:55:40.0 3 3 1 0 0 1 Define Variable 40 426088 k3jBd30ocz Unit ES_01, Section ES_01-11 EG27 5 -2 = -x 2005-10-21 07:56:07.0 2005-10-21 07:56:15.0 2005-10-21 07:56:15.0 2005-10-21 07:56:15.0 8 8 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 36~~17~~10 426274 k3jBd30ocz Unit CTA1_04, Section CTA1_04-3 PERCENT14B 1 R3C2 2005-10-25 07:30:39.0 2005-10-25 07:30:43.0 2005-10-25 07:31:31.0 2005-10-25 07:31:31.0 52 52 0 0 6 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 115~~47~~40 426720 k3jBd30ocz Unit ES_02, Section ES_02-6 EG40 20 0-1 = 1-3x-1 2005-11-02 08:01:39.0 2005-11-02 08:02:32.0 2005-11-02 08:02:36.0 2005-11-02 08:02:57.0 78 78 0 0 4 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]]~~[SkillRule: Consolidate vars with coeff; CLT] 24~~103 427148 k3jBd30ocz Unit CTA1_13, Section CTA1_13-1 PROP06 1 R5C1 2005-11-11 07:53:09.0 2005-11-11 07:53:18.0 2005-11-11 07:53:18.0 2005-11-11 07:53:18.0 9 9 1 0 0 1 Entering a given 192 427783 k3jBd30ocz Unit CTA1_06, Section CTA1_06-4 L6FB18 1 3.75L = 350 2005-12-16 09:28:25.0 2005-12-16 09:28:31.0 2005-12-16 09:28:31.0 2005-12-16 09:28:31.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 121~~201 428002 l5eh0S53tB Unit CTA1_01, Section CTA1_01-3 DEC03 1 R5C2 2005-09-09 11:26:28.0 2005-09-09 11:27:07.0 2005-09-09 11:27:07.0 2005-09-09 11:27:07.0 39 39 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 58~~32~~12 428243 l5eh0S53tB Unit CTA1_02, Section CTA1_02-3 BH1T39B 2 xMax 2005-09-14 11:36:20.0 2005-09-14 11:36:30.0 2005-09-14 11:36:30.0 2005-09-14 11:36:30.0 10 10 1 0 0 1 Changing axis bounds 18 428555 l5eh0S53tB Unit ES_01, Section ES_01-6 EG21 4 y+1-1 = 4 2005-09-16 08:05:51.0 2005-09-16 08:05:55.0 2005-09-16 08:05:55.0 2005-09-16 08:05:55.0 4 4 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 36 428988 l5eh0S53tB Unit CTA1_04, Section CTA1_04-4 L5FB04C 1 R7C2 2005-09-26 11:19:39.0 2005-09-26 11:20:32.0 2005-09-26 11:20:49.0 2005-09-26 11:20:49.0 70 70 0 1 3 1 Entering a given 182 429445 l5eh0S53tB Unit ES_02, Section ES_02-9 EG44 4 10/y = -6 2005-09-29 11:04:17.0 2005-09-29 11:04:21.0 2005-09-29 11:04:31.0 2005-09-29 11:04:31.0 14 14 0 0 3 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 4 429710 l5eh0S53tB Unit CTA1_13, Section CTA1_13-1 PROP09 2 R7C1 2005-10-04 11:08:01.0 2005-10-04 11:08:07.0 2005-10-04 11:08:07.0 2005-10-04 11:08:07.0 6 6 1 0 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 150~~31~~72 430148 l5eh0S53tB Unit CTA1_06, Section CTA1_06-3 BH1T42 1 R3C2 2005-10-12 11:08:47.0 2005-10-12 11:08:59.0 2005-10-12 11:10:24.0 2005-10-12 11:10:24.0 86 86 0 3 5 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 194~~208~~69 430986 l5eh0S53tB Unit ES_03, Section ES_03-6 EG53 1 -8.2y-y = -5.3 2005-10-19 11:31:59.0 2005-10-19 11:32:06.0 2005-10-19 11:32:12.0 2005-10-19 11:32:12.0 13 13 0 1 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 122 431295 l5eh0S53tB Unit CTA1_08, Section CTA1_08-3 NOV13 1 R3C1 2005-10-21 11:16:01.0 2005-10-21 11:16:03.0 2005-10-21 11:16:03.0 2005-10-21 11:16:03.0 2 2 1 0 0 1 Define Variable 109 432215 l5eh0S53tB Unit ES_04, Section ES_04-11 EG58 2 5(-7x-1)-8x = -6 2005-10-31 09:18:17.0 2005-10-31 09:18:24.0 2005-10-31 09:18:24.0 2005-10-31 09:18:24.0 7 7 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 117 433103 l5eh0S53tB Unit CTA1_10, Section CTA1_10-6 DISTFB10_SP 1 R5C1 2005-11-10 11:17:32.0 2005-11-10 11:17:35.0 2005-11-10 11:17:47.0 2005-11-10 11:17:47.0 15 15 0 2 0 1 Entering a given 422 433380 l5eh0S53tB Unit ES_07, Section ES_07-4 LIT69A 1 FinalAnswer 2005-11-15 11:09:39.0 2005-11-15 11:09:44.0 2005-11-15 11:09:44.0 2005-11-15 11:15:54.0 34 34 1 0 0 3 combine-like-terms-sp~~factor-sp 154~~14 434104 l5eh0S53tB Unit CTA1_12, Section CTA1_12-6 SYSFB03 1 25A = 87.5 2005-11-22 11:29:16.0 2005-11-22 11:29:21.0 2005-11-22 11:29:21.0 2005-11-22 11:29:21.0 5 5 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 259~~604 434334 l5eh0S53tB Unit ES_05, Section ES_05-7 EG61 8 10.24x = -6.94 2005-12-02 08:45:35.0 2005-12-02 08:45:42.0 2005-12-02 08:45:42.0 2005-12-02 08:45:42.0 7 7 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 283~~645 434993 l5eh0S53tB Unit CTA1_14, Section CTA1_14-4 IPCTURDUCKEN 1 R3C2 2006-01-06 09:06:43.0 2006-01-06 09:07:45.0 2006-01-06 09:08:14.0 2006-01-06 09:08:14.0 91 91 0 0 4 1 Using small numbers~~Using difficult numbers~~Write expression, initial and change 398~~234~~10 435253 l5eh0S53tB Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT-2X 1 XCoordinate1_1 2006-01-10 11:31:58.0 2006-01-10 11:32:01.0 2006-01-10 11:32:01.0 2006-01-10 11:32:01.0 3 3 1 0 0 1 Negative Constant, SIF 15 435581 l5eh0S53tB Unit CTA1_15, Section CTA1_15-3 SYSFB10 2 XLabel 2006-01-18 10:59:11.0 2006-01-18 11:00:40.0 2006-01-18 11:00:40.0 2006-01-18 11:00:40.0 89 89 1 0 0 1 Labelling the axes 175 435974 l5eh0S53tB Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE2TRE 1 R7C2 2006-01-24 09:00:45.0 2006-01-24 09:00:48.0 2006-01-24 09:01:08.0 2006-01-24 09:01:08.0 19 19 0 2 0 1 Entering a computed linear value 54 436185 l5eh0S53tB Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR22 1 FinalAnswer 2006-02-03 09:16:09.0 2006-02-03 09:16:25.0 2006-02-03 09:16:25.0 2006-02-03 09:16:25.0 16 16 1 0 0 1 factor-quadratic-sp 25 436376 l5eh0S53tB Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR27 1 c-factor-1 2006-02-24 11:59:43.0 2006-02-24 11:59:48.0 2006-02-24 12:00:00.0 2006-02-24 12:02:50.0 53 53 0 7 2 5 436939 l5eh0S53tB Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD3TRE 1 num2-factor-node 2006-03-02 14:15:42.0 2006-03-02 14:15:55.0 2006-03-02 14:15:55.0 2006-03-02 14:15:55.0 13 13 1 0 0 1 qft-num2-sp 26 437148 l5eh0S53tB Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 2 xR2 2006-03-03 12:03:07.0 2006-03-03 12:03:10.0 2006-03-03 12:03:10.0 2006-03-03 12:03:10.0 3 3 1 0 0 1 perform-mult-row2-sp 61 437395 l5eh0S53tB Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 5 row2y 2006-03-08 12:18:17.0 2006-03-08 12:18:24.0 2006-03-08 12:18:24.0 2006-03-08 12:18:24.0 7 7 1 0 0 1 437799 l5eh0S53tB Unit CTA1_20, Section CTA1_20-2 2PTFB20 3 -119.21+1.75A = 0 2006-03-16 12:24:19.0 2006-03-16 12:24:27.0 2006-03-16 12:24:27.0 2006-03-16 12:24:27.0 8 8 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 651~~134 438017 l5eh0S53tB Unit CTA1_21, Section CTA1_21-3 DEC06 1 R1C1 2006-03-22 14:02:05.0 2006-03-22 14:02:18.0 2006-03-22 14:02:18.0 2006-03-22 14:02:18.0 13 13 1 0 0 1 438228 l5eh0S53tB Unit CTA1_22, Section CTA1_22-1 SYSFB15 1 R4C1 2006-03-24 13:53:57.0 2006-03-24 13:54:04.0 2006-03-24 13:54:58.0 2006-03-24 13:54:58.0 20 20 0 1 1 1 Entering a given 852 438375 l5eh0S53tB Unit ES_06, Section ES_06-1 EG63 2 -1934.87459459 = 19.6463y 2006-03-27 12:00:36.0 2006-03-27 12:00:46.0 2006-03-27 12:00:46.0 2006-03-27 12:00:46.0 10 10 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 393~~833 438519 l5eh0S53tB Unit CTA1_24, Section CTA1_24-1 L3REAL21 1 ValidEquations 2006-03-27 13:58:59.0 2006-03-27 13:59:07.0 2006-03-27 13:59:07.0 2006-03-27 13:59:07.0 8 8 1 0 0 2 438773 l5eh0S53tB Unit CTA1_25, Section CTA1_25-1 PERCENT18 2 R7C1 2006-03-28 14:04:08.0 2006-03-28 14:04:15.0 2006-03-28 14:05:50.0 2006-03-28 14:05:50.0 102 102 0 1 0 1 Entering a given 943 438994 l5eh0S53tB Unit CTA1_26, Section CTA1_26-1 PERCENT02 1 Intercept Field 1 2006-04-03 07:49:05.0 2006-04-03 07:49:07.0 2006-04-03 07:49:07.0 2006-04-03 07:49:07.0 2 2 1 0 0 1 Entering the y-intercept 44 439117 l5eh0S53tB Unit CTA1_27, Section CTA1_27-1 PROP19 1 R3C2 2006-04-03 08:12:17.0 2006-04-03 08:12:20.0 2006-04-03 08:14:56.0 2006-04-03 08:14:56.0 159 159 0 5 7 1 Using small numbers~~Using difficult numbers~~Write expression, ratio 646~~401~~5 439180 l5eh0S53tB Unit CTA1_26, Section CTA1_26-1 BH1T06 2 R3C2 2006-04-03 08:26:46.0 2006-04-03 08:26:50.0 2006-04-03 08:27:15.0 2006-04-03 08:27:15.0 15 15 0 0 5 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 613~~236~~369 439181 l5eh0S53tB Unit CTA1_27, Section CTA1_27-1 REAL02 1 R4C1 2006-04-03 08:27:15.0 2006-04-03 08:27:17.0 2006-04-03 08:27:17.0 2006-04-03 08:27:17.0 2 2 1 0 0 1 Entering a given 992 439183 l5eh0S53tB Unit CTA1_26, Section CTA1_26-1 BH1T06 2 Slope Field 1 2006-04-03 08:27:26.0 2006-04-03 08:27:28.0 2006-04-03 08:27:28.0 2006-04-03 08:27:28.0 1 1 1 0 0 1 Entering the slope 48 439185 l5eh0S53tB Unit CTA1_27, Section CTA1_27-1 REAL02 1 R6C2 2006-04-03 08:27:28.0 2006-04-03 08:27:33.0 2006-04-03 08:27:33.0 2006-04-03 08:27:33.0 5 5 1 0 0 1 Entering a given 994 439188 l5eh0S53tB Unit CTA1_26, Section CTA1_26-1 BH1T06 2 XLabel 2006-04-03 08:27:40.0 2006-04-03 08:27:44.0 2006-04-03 08:27:44.0 2006-04-03 08:27:44.0 4 4 1 0 0 1 Labelling the axes 320 439190 l5eh0S53tB Unit CTA1_27, Section CTA1_27-1 REAL02 1 ValidEquations 2006-04-03 08:27:49.0 2006-04-03 08:27:52.0 2006-04-03 08:27:52.0 2006-04-03 08:27:52.0 3 3 1 0 0 2 439192 l5eh0S53tB Unit CTA1_26, Section CTA1_26-1 BH1T06 2 yScale 2006-04-03 08:28:03.0 2006-04-03 08:28:04.0 2006-04-03 08:28:04.0 2006-04-03 08:28:15.0 4.332 4.332 1 0 0 5 Changing axis intervals 254 439195 l5eh0S53tB Unit CTA1_27, Section CTA1_27-1 REAL02 1 3A = 33 2006-04-03 08:28:15.0 2006-04-03 08:28:18.0 2006-04-03 08:28:18.0 2006-04-03 08:28:18.0 3 3 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 439~~891 439235 l5eh0S53tB Unit CTA1_26, Section CTA1_26-1 BH1T13 1 yMin 2006-04-03 08:35:29.0 2006-04-03 08:35:32.0 2006-04-03 08:35:32.0 2006-04-03 08:35:32.0 3 3 1 0 0 1 Changing axis bounds 394 439287 l5eh0S53tB Unit CTA1_27, Section CTA1_27-1 FOR07 1 ValidEquations 2006-04-06 13:46:19.0 2006-04-06 13:46:30.0 2006-04-06 13:46:30.0 2006-04-06 13:46:30.0 11 11 1 0 0 2 441407 l5eh0S53tB Unit QuadLinearFuncTrans, Section QLFuncTrans11 TRANSFORMN029 3 CurrFunctionText 2006-05-26 07:45:11.0 2006-05-26 07:45:12.0 2006-05-26 07:45:12.0 2006-05-26 07:46:52.0 1 1 1 0 0 2 441606 LP15lX652E Unit CTA1_01, Section CTA1_01-3 JAN11C 1 R1C1 2005-09-12 07:57:33.0 2005-09-12 07:57:46.0 2005-09-12 07:57:46.0 2005-09-12 07:57:46.0 13 13 1 0 0 1 441956 LP15lX652E Unit CTA1_02, Section CTA1_02-4 REAL19 1 R1C2 2005-10-04 07:56:30.0 2005-10-04 07:57:00.0 2005-10-04 07:57:00.0 2005-10-04 07:57:00.0 30 30 1 0 0 1 442187 LP15lX652E Unit ES_01, Section ES_01-10 EG27 1 0 = -7+x 2005-10-07 08:15:28.0 2005-10-07 08:15:31.0 2005-10-07 08:15:48.0 2005-10-07 08:15:48.0 20 20 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 13~~7 442367 LP15lX652E Unit CTA1_04, Section CTA1_04-3 L2FB15B 1 R3C2 2005-10-17 08:08:16.0 2005-10-17 08:08:45.0 2005-10-17 08:10:35.0 2005-10-17 08:10:35.0 139 139 0 2 4 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 99~~38~~25 442691 LP15lX652E Unit ES_02, Section ES_02-6 EG40 14 -7 = -7x 2005-10-28 07:58:02.0 2005-10-28 07:58:13.0 2005-10-28 07:58:13.0 2005-10-28 07:58:13.0 11 11 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 65~~28 442915 LP15lX652E Unit CTA1_13, Section CTA1_13-1 PROP01 1 2/300*H = 10 2005-11-04 08:57:34.0 2005-11-04 08:57:45.0 2005-11-04 08:57:45.0 2005-11-04 08:57:45.0 11 11 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 98 443641 LP15lX652E Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 R5C1 2006-01-24 08:57:52.0 2006-01-24 08:58:01.0 2006-01-24 08:58:01.0 2006-01-24 08:58:01.0 9 9 1 0 0 1 Entering a given 327 444090 LP15lX652E Unit ES_03, Section ES_03-8 LIT12A 1 m = j+3 2006-02-06 08:00:48.0 2006-02-06 08:00:58.0 2006-02-06 08:00:58.0 10 10 0 1 0 0 [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] 6 444345 LP15lX652E Unit CTA1_08, Section CTA1_08-2 FEB09 1 R3C2 2006-02-07 15:02:50.0 2006-02-07 15:03:12.0 2006-02-07 15:03:31.0 2006-02-07 15:03:31.0 41 41 0 1 0 1 Using simple numbers~~Using small numbers~~Write expression, negative slope 218~~212~~22 445041 LP15lX652E Unit ES_04, Section ES_04-15 LIT57 1 h*m+3h+b = (a/h)*(h/1) 2006-03-01 15:20:08.0 2006-03-01 15:20:10.0 2006-03-01 15:20:16.0 2006-03-01 15:20:16.0 8 8 0 0 2 1 445421 LP15lX652E Unit CTA1_10, Section CTA1_10-6 DISTFB12_SP 1 R5C2 2006-03-14 15:24:09.0 2006-03-14 15:24:16.0 2006-03-14 15:24:16.0 2006-03-14 15:24:16.0 7 7 1 0 0 1 Entering a given 394 445685 LP15lX652E Unit ES_07, Section ES_07-6 LIT79A 1 pm-r-den-node 2006-03-20 09:12:10.0 2006-03-20 09:12:14.0 2006-03-20 09:12:14.0 2006-03-20 09:12:14.0 4 4 1 0 0 1 446105 LP15lX652E Unit CTA1_12, Section CTA1_12-5 SYSFB05 2 XLabel 2006-03-29 14:34:45.0 2006-03-29 14:34:48.0 2006-03-29 14:34:48.0 2006-03-29 14:34:48.0 3 3 1 0 0 1 Labelling the axes 152 446467 LP15lX652E Unit ES_05, Section ES_05-12 LIT40 1 y-m*x = m*x+b-m*x 2006-04-04 14:39:17.0 2006-04-04 14:39:19.0 2006-04-04 14:39:19.0 2006-04-04 14:39:24.0 7 7 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 145 446747 LP15lX652E Unit CTA1_14, Section CTA1_14-3 2PTS08 1 15I+495 = 720 2006-05-01 08:26:50.0 2006-05-01 08:26:57.0 2006-05-01 08:26:57.0 2006-05-01 08:26:57.0 7 7 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 426 447213 mI0bEZaepz Unit CTA1_01, Section CTA1_01-4 L1FB12A 1 R5C1 2005-10-11 08:09:55.0 2005-10-11 08:10:03.0 2005-10-11 08:10:03.0 2005-10-11 08:10:03.0 8 8 1 0 0 1 Entering a given 58 447517 mI0bEZaepz Unit CTA1_02, Section CTA1_02-4 REAL19C 1 R5C1 2005-11-09 14:50:03.0 2005-11-09 14:50:09.0 2005-11-09 14:50:09.0 2005-11-09 14:50:09.0 6 6 1 0 0 1 Entering a given 119 447781 mI0bEZaepz Unit ES_01, Section ES_01-8 EG23 4 -9 = 4y 2005-11-18 09:44:56.0 2005-11-18 09:45:13.0 2005-11-18 09:46:25.0 2005-11-18 09:46:25.0 89 89 0 5 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 8~~14 447987 mI0bEZaepz Unit CTA1_04, Section CTA1_04-3 BH1T41 1 R5C1 2005-12-01 09:47:01.0 2005-12-01 09:47:09.0 2005-12-01 09:47:09.0 2005-12-01 09:47:09.0 8 8 1 0 0 1 Entering a given 166 448179 mI0bEZaepz Unit ES_02, Section ES_02-4 EG35 1 x = -9(-5+8) 2005-12-16 09:18:24.0 2005-12-16 09:18:28.0 2005-12-16 09:18:28.0 2005-12-16 09:18:28.0 4 4 1 0 0 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 51 448397 v52MhQAVT9 Unit CTA1_01, Section CTA1_01-3 L3NOV07B 1 R1C1 2006-03-24 08:53:31.0 2006-03-24 08:54:34.0 2006-03-24 08:54:34.0 2006-03-24 08:54:34.0 63 63 1 0 0 1 448777 v52MhQAVT9 Unit CTA1_02, Section CTA1_02-4 REAL28 1 R5C1 2006-05-08 08:05:01.0 2006-05-08 08:05:19.0 2006-05-08 08:05:19.0 2006-05-08 08:05:19.0 18 18 1 0 0 1 Entering a given 119 448909 v52MhQAVT9 Unit ES_01, Section ES_01-5 EG15 2 36-4.4*6 = y 2006-05-19 08:07:53.0 2006-05-19 08:07:56.0 2006-05-19 08:07:56.0 2006-05-19 08:07:56.0 3 3 1 0 0 1 [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] 21 449033 v52MhQAVT9 Unit CTA1_04, Section CTA1_04-2 REAL13A 1 R1C1 2006-05-22 09:11:18.0 2006-05-22 09:11:57.0 2006-05-22 09:11:57.0 2006-05-22 09:11:57.0 39 39 1 0 0 1 449205 XTXYl6nJ7J Unit CTA1_01, Section CTA1_01-3 BH1T27A 1 R5C2 2005-09-16 10:02:36.0 2005-09-16 10:02:41.0 2005-09-16 10:02:41.0 2005-09-16 10:02:41.0 5 5 1 0 0 1 Find Y, positive slope~~Using simple numbers~~Using small numbers 5~~49~~21 449442 XTXYl6nJ7J Unit CTA1_02, Section CTA1_02-3 BH1T39B 1 xMax 2005-09-21 10:06:11.0 2005-09-21 10:06:16.0 2005-09-21 10:06:16.0 2005-09-21 10:06:16.0 5 5 1 0 0 1 Changing axis bounds 30 449859 XTXYl6nJ7J Unit ES_01, Section ES_01-8 EG23 3 -3 = 4x 2005-10-11 09:42:17.0 2005-10-11 09:42:21.0 2005-10-11 09:42:21.0 4 4 0 1 0 0 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 4~~8 450275 XTXYl6nJ7J Unit CTA1_04, Section CTA1_04-4 BH1T47B 2 -1375-9F = -2068 2005-12-02 09:44:19.0 2005-12-02 09:44:29.0 2005-12-02 09:44:29.0 2005-12-02 09:44:29.0 10 10 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 57~~8 450780 XTXYl6nJ7J Unit ES_02, Section ES_02-10 EG44 6 3/y*y = 9y 2006-02-22 15:12:39.0 2006-02-22 15:12:44.0 2006-02-22 15:12:44.0 2006-02-22 15:12:49.0 10 10 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 48 450877 XTXYl6nJ7J Unit CTA1_13, Section CTA1_13-1 PROP02 1 R4C1 2006-03-07 14:52:45.0 2006-03-07 14:52:48.0 2006-03-07 14:53:03.0 2006-03-07 14:53:03.0 12 12 0 0 3 1 Entering a given 210 451118 XTXYl6nJ7J Unit CTA1_06, Section CTA1_06-2 L6FB06 1 0.5T = 15 2006-04-11 15:25:16.0 2006-04-11 15:25:22.0 2006-04-11 15:25:22.0 2006-04-11 15:25:22.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 94~~169 451373 yf2V5ll9mN Unit CTA1_01, Section CTA1_01-3 L3NOV07B 2 R2C1 2005-09-23 07:43:50.0 2005-09-23 07:43:54.0 2005-09-23 07:43:54.0 2005-09-23 07:43:54.0 4 4 1 0 0 1 Identifying units 31 451662 yf2V5ll9mN Unit CTA1_02, Section CTA1_02-3 BH1T39 2 yMax 2005-09-30 07:52:23.0 2005-09-30 07:52:34.0 2005-09-30 07:52:34.0 2005-09-30 07:52:34.0 11 11 1 0 0 1 Changing axis bounds 14 451952 yf2V5ll9mN Unit ES_01, Section ES_01-6 EG21 3 y+10 = -4 2005-10-04 13:15:24.0 2005-10-04 13:15:34.0 2005-10-04 13:17:57.0 2005-10-04 13:17:57.0 153 153 0 8 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 5~~3 452308 yf2V5ll9mN Unit CTA1_04, Section CTA1_04-3 L2FB15 1 ValidEquations 2005-10-14 13:32:34.0 2005-10-14 13:33:00.0 2005-10-14 13:33:00.0 2005-10-14 13:34:23.0 37 37 1 0 0 2 452628 yf2V5ll9mN Unit ES_02, Section ES_02-8 EG41 6 x/-7+1-1 = 0-1 2005-10-20 09:16:03.0 2005-10-20 09:16:17.0 2005-10-20 09:16:33.0 2005-10-20 09:16:54.0 51 51 0 1 2 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]]~~[SkillRule: Consolidate vars with coeff; CLT] 13~~71 452834 yf2V5ll9mN Unit CTA1_13, Section CTA1_13-1 PROP01 1 2/300*X = 10 2005-10-26 09:07:48.0 2005-10-26 09:07:56.0 2005-10-26 09:08:21.0 2005-10-26 09:08:21.0 33 33 0 1 3 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 110 453609 yf2V5ll9mN Unit CTA1_06, Section CTA1_06-5 FBSMR1 3 yScale 2005-12-07 13:12:14.0 2005-12-07 13:12:21.0 2005-12-07 13:12:21.0 2005-12-07 13:12:21.0 7 7 1 0 0 1 Changing axis intervals 62 453991 yf2V5ll9mN Unit ES_03, Section ES_03-6 EG51A 1 10.7y/10.7 = -93/10.7 2006-01-03 09:16:49.0 2006-01-03 09:17:01.0 2006-01-03 09:17:01.0 2006-01-03 09:17:27.0 38 38 1 0 2 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 46 454459 yf2V5ll9mN Unit CTA1_08, Section CTA1_08-2 REAL00 1 YLabel 2006-01-10 13:36:06.0 2006-01-10 13:36:16.0 2006-01-10 13:36:16.0 2006-01-10 13:36:16.0 10 10 1 0 0 1 Labelling the axes 114 455223 yf2V5ll9mN Unit ES_04, Section ES_04-16 LIT57A 1 n1R1 2006-01-27 09:25:41.0 2006-01-27 09:25:45.0 2006-01-27 09:25:45.0 2006-01-27 09:25:45.0 4 4 1 0 0 1 455534 yf2V5ll9mN Unit CTA1_10, Section CTA1_10-4 FOR08_SP 1 R1C1 2006-03-09 08:53:48.0 2006-03-09 08:54:58.0 2006-03-09 08:55:06.0 2006-03-09 08:55:06.0 78 78 0 1 0 1 456233 yf2V5ll9mN Unit ES_07, Section ES_07-5 LIT79 1 4x+5q+9n = 2u 2006-03-27 14:05:16.0 2006-03-27 14:05:22.0 2006-03-27 14:06:13.0 2006-03-27 14:06:13.0 57 57 0 3 7 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 418 456609 yf2V5ll9mN Unit CTA1_12, Section CTA1_12-4 SYSFB04 1 R2C3 2006-04-24 08:10:16.0 2006-04-24 08:10:22.0 2006-04-24 08:10:22.0 2006-04-24 08:10:22.0 6 6 1 0 0 1 Identifying units 233 457432 yf2V5ll9mN Unit ES_05, Section ES_05-10 EG62A 1 356.58y-3430.37-370.76y = -6702.01 2006-05-25 13:23:52.0 2006-05-25 13:24:09.0 2006-05-25 13:24:17.0 2006-05-25 13:24:17.0 25 25 0 1 2 1 [SkillRule: Consolidate vars with coeff; CLT] 324 457591 yf2V5ll9mN Unit CTA1_14, Section CTA1_14-2 1PTFB11 1 R7C2 2006-06-05 09:11:30.0 2006-06-05 09:11:34.0 2006-06-05 09:12:08.0 2006-06-05 09:12:08.0 19 19 0 1 0 1 Entering a given 532 457759 0GlR30c2Mt Unit CTA1_01, Section CTA1_01-3 REAL20B 1 R4C2 2005-09-08 13:58:15.0 2005-09-08 13:58:20.0 2005-09-08 13:58:20.0 2005-09-08 13:58:20.0 5 5 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 41~~23~~6 458021 0GlR30c2Mt Unit CTA1_02, Section CTA1_02-3 BH1T39B 2 xMax 2005-10-06 13:48:33.0 2005-10-06 13:48:50.0 2005-10-06 13:50:59.0 2005-10-06 13:50:59.0 98 98 0 4 2 1 Changing axis bounds 26 458306 0GlR30c2Mt Unit ES_01, Section ES_01-6 EG21 1 4 = x+10 2005-10-20 13:54:46.0 2005-10-20 13:54:57.0 2005-10-20 13:55:14.0 2005-10-20 13:55:14.0 28 28 0 2 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 1~~1 458567 0GlR30c2Mt Unit CTA1_04, Section CTA1_04-3 BH1T41C 1 R5C1 2005-11-02 08:18:26.0 2005-11-02 08:18:30.0 2005-11-02 08:18:30.0 2005-11-02 08:18:30.0 4 4 1 0 0 1 Entering a given 156 458863 0GlR30c2Mt Unit ES_02, Section ES_02-7 EG41 2 5+(x/-7)-5 = -7-5 2005-11-29 14:46:02.0 2005-11-29 14:46:07.0 2005-11-29 14:46:07.0 2005-11-29 14:46:07.0 5 5 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 49 459117 0GlR30c2Mt Unit CTA1_13, Section CTA1_13-1 PROP09 1 R7C1 2005-12-01 08:29:25.0 2005-12-01 08:29:30.0 2005-12-01 08:29:30.0 2005-12-01 08:29:30.0 5 5 1 0 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 143~~29~~66 459802 0GlR30c2Mt Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 XLabel 2006-02-02 09:08:18.0 2006-02-02 09:08:26.0 2006-02-02 09:08:26.0 2006-02-02 09:08:26.0 8 8 1 0 0 1 Labelling the axes 81 460101 0GlR30c2Mt Unit ES_03, Section ES_03-8 LIT1A 1 t = u-s 2006-02-02 10:12:06.0 2006-02-02 10:12:14.0 2006-02-02 10:12:33.0 27 27 0 2 2 0 [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] 5 460349 0GlR30c2Mt Unit CTA1_08, Section CTA1_08-3 REAL37 1 XLabel 2006-02-03 13:11:59.0 2006-02-03 13:12:04.0 2006-02-03 13:12:04.0 2006-02-03 13:12:04.0 5 5 1 0 0 1 Labelling the axes 120 460799 0GlR30c2Mt Unit ES_04, Section ES_04-12 EG58 2 -23y = -30 2006-02-22 15:24:36.0 2006-02-22 15:24:42.0 2006-02-22 15:24:42.0 2006-02-22 15:24:42.0 6 6 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 291~~91 461298 0GlR30c2Mt Unit CTA1_10, Section CTA1_10-6 DISTFB10_SP 1 R1C1 2006-03-08 14:44:47.0 2006-03-08 14:45:43.0 2006-03-08 14:45:43.0 2006-03-08 14:45:43.0 56 56 1 0 0 1 461636 0GlR30c2Mt Unit ES_07, Section ES_07-6 LIT81A 2 a*h-7g+7g = q*k+7g 2006-03-27 13:19:41.0 2006-03-27 13:19:51.0 2006-03-27 13:19:51.0 2006-03-27 13:20:24.0 43 43 1 1 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 127 461828 0GlR30c2Mt Unit CTA1_12, Section CTA1_12-2 SYS04 1 S+45 = 602 2006-05-24 13:05:17.0 2006-05-24 13:05:21.0 2006-05-24 13:05:21.0 2006-05-24 13:05:21.0 4 4 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 337~~26 461980 0U9x5pNv8t Unit CTA1_01, Section CTA1_01-3 L3NOV07A 1 R3C1 2005-09-01 14:02:18.0 2005-09-01 14:02:19.0 2005-09-01 14:02:19.0 2005-09-01 14:02:19.0 1 1 1 0 0 1 Define Variable 13 462252 0U9x5pNv8t Unit CTA1_02, Section CTA1_02-3 L3NOV10A 1 R1C1 2005-09-13 14:17:11.0 2005-09-13 14:17:37.0 2005-09-13 14:17:37.0 2005-09-13 14:17:37.0 26 26 1 0 0 1 462728 0U9x5pNv8t Unit ES_01, Section ES_01-10 EG27 7 -x/-1 = 2/-1 2005-09-22 10:13:34.0 2005-09-22 10:13:42.0 2005-09-22 10:13:42.0 2005-09-22 10:13:42.0 8 8 1 0 0 1 462945 0U9x5pNv8t Unit CTA1_04, Section CTA1_04-2 PERCENT03 2 R7C1 2005-09-26 09:08:03.0 2005-09-26 09:08:06.0 2005-09-26 09:08:06.0 2005-09-26 09:08:06.0 3 3 1 0 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 114~~21~~37 463650 0U9x5pNv8t Unit ES_02, Section ES_02-10 EG44 4 7/y*y = 5y 2005-09-30 09:26:07.0 2005-09-30 09:26:17.0 2005-09-30 09:26:17.0 2005-09-30 09:26:24.0 17 17 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 33 463757 0U9x5pNv8t Unit CTA1_13, Section CTA1_13-1 PROP09 1 R7C2 2005-10-03 08:51:52.0 2005-10-03 08:51:55.0 2005-10-03 08:51:55.0 2005-10-03 08:51:55.0 3 3 1 0 0 1 Entering a given 221 464459 0U9x5pNv8t Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 0.99-0.05H = 0.44 2005-10-06 13:56:22.0 2005-10-06 13:56:27.0 2005-10-06 13:56:59.0 2005-10-06 13:56:59.0 37 37 0 1 3 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 134 464796 0U9x5pNv8t Unit ES_03, Section ES_03-7 LIT2 1 y = x+b 2005-10-07 10:10:37.0 2005-10-07 10:10:48.0 2005-10-07 10:10:48.0 2005-10-07 10:10:48.0 11 11 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 164~~15 465118 0U9x5pNv8t Unit CTA1_08, Section CTA1_08-3 REAL37 1 R2C2 2005-10-13 13:51:05.0 2005-10-13 13:51:07.0 2005-10-13 13:51:07.0 2005-10-13 13:51:07.0 2 2 1 0 0 1 Identifying units 164 465435 0U9x5pNv8t Unit ES_04, Section ES_04-12 EG58 5 12y+8y = 12 2005-10-20 14:06:51.0 2005-10-20 14:06:54.0 2005-10-20 14:06:54.0 2005-10-20 14:06:54.0 3 3 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 159 465916 0U9x5pNv8t Unit CTA1_10, Section CTA1_10-4 FOR08_SP 1 R6C1 2005-11-01 09:46:16.0 2005-11-01 09:46:23.0 2005-11-01 09:46:23.0 2005-11-01 09:46:23.0 7 7 1 0 0 1 Entering a given 410 466237 0U9x5pNv8t Unit ES_07, Section ES_07-5 LIT82 1 v*k*h+v*h = w*h 2005-11-02 09:44:14.0 2005-11-02 09:44:22.0 2005-11-02 09:45:02.0 2005-11-02 09:45:02.0 48 48 0 3 3 1 [SkillRule: Extract to consolidate vars; {factor; factorb; factorc; factord}] 27 466627 0U9x5pNv8t Unit CTA1_12, Section CTA1_12-5 SYSFB05 1 Intersection 1 Y 2005-11-10 13:56:00.0 2005-11-10 13:56:07.0 2005-11-10 13:56:07.0 2005-11-10 13:56:07.0 7 7 1 0 0 1 Labelling point of intersection 24 466998 0U9x5pNv8t Unit ES_05, Section ES_05-8 EG61 8 constant terms1R1 2005-11-15 14:11:55.0 2005-11-15 14:11:59.0 2005-11-15 14:11:59.0 2005-11-15 14:11:59.0 4 4 1 0 0 1 467572 0U9x5pNv8t Unit CTA1_14, Section CTA1_14-4 2PTFB16 2 R7C1 2006-01-11 08:46:19.0 2006-01-11 08:46:21.0 2006-01-11 08:46:21.0 2006-01-11 08:46:21.0 2 2 1 0 0 1 Entering a given 577 467877 0U9x5pNv8t Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT-4X-10 1 Formula 1 YIntercept 2006-02-07 14:05:47.0 2006-02-07 14:06:01.0 2006-02-07 14:06:01.0 2006-02-07 14:06:01.0 14 14 1 0 0 1 Placing coordinate point 35 468356 0U9x5pNv8t Unit CTA1_15, Section CTA1_15-3 SYS10 1 xMax 2006-02-23 12:01:37.0 2006-02-23 12:02:11.0 2006-02-23 12:02:11.0 2006-02-23 12:02:11.0 34 34 1 0 0 1 Changing axis bounds 214 468469 0U9x5pNv8t Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE8TRE 1 R5C2 2006-02-23 12:31:39.0 2006-02-23 12:31:41.0 2006-02-23 12:31:41.0 2006-02-23 12:31:41.0 2 2 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope~~Entering a computed linear value 447~~429~~76~~27 468529 0U9x5pNv8t Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR21 1 row2-1-term0 2006-02-23 14:07:52.0 2006-02-23 14:07:56.0 2006-02-23 14:08:08.0 16 16 0 2 0 0 468741 0U9x5pNv8t Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR12 1 (-6-sqrt(36-32))/16 = x 2006-02-24 10:01:14.0 2006-02-24 10:01:17.0 2006-02-24 10:01:17.0 2006-02-24 10:01:17.0 3 3 1 0 0 1 469149 0U9x5pNv8t Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD7TRE 3 (-1000?sqrt(1000^2-4*-16*-1950))/(2*-16) = s 2006-02-28 13:58:55.0 2006-02-28 13:59:04.0 2006-02-28 13:59:04.0 2006-02-28 13:59:04.0 9 9 1 0 0 1 469256 0U9x5pNv8t Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 FinalAnswer 2006-03-02 12:26:49.0 2006-03-02 12:27:16.0 2006-03-02 12:27:16.0 2006-03-02 12:27:16.0 27 27 1 0 0 1 perform-mult-sp 81 469310 0U9x5pNv8t Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01 1 (2x^4)/2 2006-04-24 14:02:50.0 2006-04-24 14:02:59.0 2006-04-24 14:02:59.0 2006-04-24 14:02:59.0 9 9 1 0 0 1 469562 0U9x5pNv8t Unit CTA1_20, Section CTA1_20-2 2PTFB22 1 R3C1 2006-05-23 14:03:37.0 2006-05-23 14:03:38.0 2006-05-23 14:03:38.0 2006-05-23 14:03:38.0 1 1 1 0 0 1 Define Variable 223 469750 12M70dm49w Unit CTA1_01, Section CTA1_01-3 JAN11C 1 R2C2 2005-09-13 14:01:37.0 2005-09-13 14:01:43.0 2005-09-13 14:01:43.0 2005-09-13 14:01:43.0 6 6 1 0 0 1 Identifying units 26 470082 12M70dm49w Unit CTA1_02, Section CTA1_02-4 L2FB14 1 R1C2 2005-09-21 10:07:49.0 2005-09-21 10:08:31.0 2005-09-21 10:08:31.0 2005-09-21 10:08:31.0 42 42 1 0 0 1 470337 12M70dm49w Unit ES_01, Section ES_01-6 EG21 9 -5-9 = x+9-9 2005-09-26 10:03:46.0 2005-09-26 10:03:51.0 2005-09-26 10:03:51.0 2005-09-26 10:03:51.0 5 5 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 50 470650 12M70dm49w Unit CTA1_04, Section CTA1_04-3 L2FB15 1 R2C1 2005-10-12 09:46:05.0 2005-10-12 09:46:39.0 2005-10-12 09:46:39.0 2005-10-12 09:46:39.0 34 34 1 0 0 1 Identifying units 85 470938 12M70dm49w Unit ES_02, Section ES_02-7 EG41 1 x+30-30 = -90-30 2005-10-21 09:52:22.0 2005-10-21 09:52:34.0 2005-10-21 09:52:34.0 2005-10-21 09:52:34.0 12 12 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 68 471127 12M70dm49w Unit CTA1_13, Section CTA1_13-1 PROP02 1 R5C1 2005-10-26 10:02:15.0 2005-10-26 10:02:20.0 2005-10-26 10:02:20.0 2005-10-26 10:02:20.0 5 5 1 0 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 138~~29~~66 471683 12M70dm49w Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 R2C2 2005-12-06 13:49:49.0 2005-12-06 13:49:53.0 2005-12-06 13:49:53.0 2005-12-06 13:49:53.0 4 4 1 0 0 1 Identifying units 124 471994 12M70dm49w Unit ES_03, Section ES_03-6 EG51A 1 x2R1 2005-12-08 14:15:58.0 2005-12-08 14:16:00.0 2005-12-08 14:16:00.0 2005-12-08 14:16:00.0 2 2 1 0 0 1 472369 12M70dm49w Unit CTA1_08, Section CTA1_08-3 FEB08 1 R2C1 2005-12-20 14:15:49.0 2005-12-20 14:16:00.0 2005-12-20 14:16:10.0 2005-12-20 14:16:10.0 21 21 0 1 0 1 Identifying units 159 472641 12M70dm49w Unit ES_04, Section ES_04-13 LIT32 1 -j/b = b*s/b 2006-01-05 09:47:57.0 2006-01-05 09:48:01.0 2006-01-05 09:48:01.0 2006-01-05 09:48:01.0 4 4 1 0 0 1 472914 12M70dm49w Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 R3C1 2006-01-12 14:00:08.0 2006-01-12 14:00:10.0 2006-01-12 14:00:10.0 2006-01-12 14:00:10.0 2 2 1 0 0 1 Define Variable 123 473257 12M70dm49w Unit ES_07, Section ES_07-6 LIT81A 1 a*h-7g = q*k 2006-01-31 13:54:25.0 2006-01-31 13:54:38.0 2006-01-31 13:54:38.0 2006-01-31 13:54:38.0 13 13 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 285 473680 12M70dm49w Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 R2C2 2006-03-02 14:00:25.0 2006-03-02 14:00:30.0 2006-03-02 14:00:30.0 2006-03-02 14:00:30.0 5 5 1 0 0 1 Identifying units 219 473932 12M70dm49w Unit ES_05, Section ES_05-8 EG61 1 0 = -3.51y+8.82+7.13y 2006-03-07 14:19:13.0 2006-03-07 14:19:20.0 2006-03-07 14:19:20.0 2006-03-07 14:19:20.0 7 7 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 158 474289 12M70dm49w Unit CTA1_14, Section CTA1_14-3 2PTS01 6 -3T = -19 2006-03-20 09:41:48.0 2006-03-20 09:41:59.0 2006-03-20 09:41:59.0 2006-03-20 09:41:59.0 11 11 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 425~~114 474806 12M70dm49w Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLT250 4 YCoordinate1_2 2006-05-04 13:53:53.0 2006-05-04 13:53:54.0 2006-05-04 13:53:54.0 2006-05-04 13:53:54.0 1 1 1 0 0 1 Entering a point~~Positive Constants, GLF 14~~32 475002 12M70dm49w Unit CTA1_15, Section CTA1_15-2 SYSFB14 1 R2C1 2006-05-25 13:59:11.0 2006-05-25 13:59:46.0 2006-05-25 13:59:46.0 2006-05-25 13:59:46.0 35 35 1 0 0 1 Identifying units 287 475209 15V4J8fDs3 Unit CTA1_01, Section CTA1_01-3 L3NOV07B 1 R1C1 2005-09-22 10:43:59.0 2005-09-22 10:47:10.0 2005-09-22 10:47:17.0 2005-09-22 10:47:17.0 198 198 0 0 2 1 475479 15V4J8fDs3 Unit CTA1_02, Section CTA1_02-3 L3NOV10A 1 R1C2 2005-10-19 13:54:45.0 2005-10-19 13:54:51.0 2005-10-19 13:55:04.0 2005-10-19 13:55:04.0 19 19 0 0 2 1 476052 15V4J8fDs3 Unit ES_01, Section ES_01-8 EG24 3 -4 = -2y 2005-12-13 14:53:23.0 2005-12-13 14:58:13.0 2005-12-13 14:59:37.0 374 374 0 2 3 0 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 12~~5 476525 15V4J8fDs3 Unit CTA1_04, Section CTA1_04-3 L2FB15B 1 R7C2 2006-03-16 14:09:53.0 2006-03-16 14:10:05.0 2006-03-16 14:10:05.0 2006-03-16 14:10:05.0 12 12 1 0 0 1 Entering a given 192 476815 15V4J8fDs3 Unit ES_02, Section ES_02-6 EG40 2 yR2 2006-05-12 13:48:26.0 2006-05-12 13:48:32.0 2006-05-12 13:49:14.0 2006-05-12 13:51:23.0 37 37 0 5 1 3 477040 2AMmebFl86 Unit CTA1_01, Section CTA1_01-3 DEC03A 1 R2C2 2005-10-11 13:51:22.0 2005-10-11 13:51:26.0 2005-10-11 13:51:26.0 2005-10-11 13:51:26.0 4 4 1 0 0 1 Identifying units 30 477285 2AMmebFl86 Unit CTA1_02, Section CTA1_02-3 L3NOV10A 2 R4C2 2005-10-18 14:02:22.0 2005-10-18 14:02:36.0 2005-10-18 14:04:14.0 2005-10-18 14:04:14.0 112 112 0 2 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 123~~53~~38 477575 2AMmebFl86 Unit ES_01, Section ES_01-8 EG23 1 9y/9 = 1/9 2005-10-26 15:19:40.0 2005-10-26 15:19:43.0 2005-10-26 15:19:43.0 2005-10-26 15:19:43.0 3 3 1 0 0 1 477816 2AMmebFl86 Unit CTA1_04, Section CTA1_04-3 PERCENT14 1 15+0.9K = 442.5 2005-11-17 14:13:28.0 2005-11-17 14:13:55.0 2005-11-17 14:14:02.0 2005-11-17 14:14:02.0 34 34 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 28 478208 2AMmebFl86 Unit ES_02, Section ES_02-10 EG44 8 9 = 3x 2005-12-08 13:51:21.0 2005-12-08 13:51:26.0 2005-12-08 13:51:26.0 2005-12-08 13:51:26.0 5 5 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 49~~95 478333 2AMmebFl86 Unit CTA1_13, Section CTA1_13-1 PROP06 1 R4C1 2005-12-15 14:47:41.0 2005-12-15 14:47:47.0 2005-12-15 14:49:27.0 2005-12-15 14:49:27.0 11 11 0 1 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 147~~30~~72 478750 2AMmebFl86 Unit CTA1_06, Section CTA1_06-3 BH1T43 1 R1C2 2006-02-10 13:59:41.0 2006-02-10 13:59:58.0 2006-02-10 13:59:58.0 2006-02-10 13:59:58.0 17 17 1 0 0 1 479553 2AMmebFl86 Unit ES_03, Section ES_03-6 EG53 1 x2R1 2006-05-18 14:11:52.0 2006-05-18 14:12:01.0 2006-05-18 14:12:01.0 2006-05-18 14:14:28.0 11 11 1 0 0 2 479772 2J2SH6Fk63 Unit CTA1_01, Section CTA1_01-3 BH1T19 2 R4C2 2005-10-04 13:44:19.0 2005-10-04 13:44:47.0 2005-10-04 13:44:54.0 35 35 0 1 2 0 Using simple numbers~~Using small numbers~~Find Y, positive slope 65~~25~~8 480060 2J2SH6Fk63 Unit CTA1_02, Section CTA1_02-4 BH1T29 1 R2C2 2005-10-14 15:27:16.0 2005-10-14 15:27:23.0 2005-10-14 15:27:23.0 2005-10-14 15:27:23.0 7 7 1 0 0 1 Identifying units 57 480287 2J2SH6Fk63 Unit ES_01, Section ES_01-6 EG21 1 x = -6-1 2005-10-18 14:16:55.0 2005-10-18 14:16:57.0 2005-10-18 14:16:57.0 2005-10-18 14:16:57.0 2 2 1 0 0 1 [SkillRule: Select Combine Terms; CLT]~~[SkillRule: Consolidate vars, no coeff; CLT] 29~~30 480529 2J2SH6Fk63 Unit CTA1_04, Section CTA1_04-3 BH1T41A 1 475.25 = -100+0.75S 2005-10-25 14:17:50.0 2005-10-25 14:17:56.0 2005-10-25 14:17:56.0 2005-10-25 14:17:56.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 28~~2 480792 2J2SH6Fk63 Unit ES_02, Section ES_02-5 EG40 12 11/6 = -6x/-6 2005-11-03 13:58:10.0 2005-11-03 13:58:13.0 2005-11-03 13:58:13.0 2005-11-03 13:58:13.0 3 3 1 0 0 1 481010 2J2SH6Fk63 Unit CTA1_13, Section CTA1_13-1 PROP12 1 6/500*G = 600 2005-11-17 14:15:31.0 2005-11-17 14:15:35.0 2005-11-17 14:15:35.0 2005-11-17 14:15:35.0 4 4 1 0 0 1 481504 2J2SH6Fk63 Unit CTA1_06, Section CTA1_06-4 L6FB07 1 yMax 2006-01-19 14:13:50.0 2006-01-19 14:14:14.0 2006-01-19 14:14:14.0 2006-01-19 14:14:14.0 24 24 1 0 0 2 Changing axis bounds 82 481800 2J2SH6Fk63 Unit ES_03, Section ES_03-2 EG46A 1 -24/36 = 36x/36 2006-01-31 12:13:41.0 2006-01-31 12:13:46.0 2006-01-31 12:13:46.0 2006-01-31 12:13:58.0 17 17 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 23 481865 2J2SH6Fk63 Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 R2C2 2006-01-31 14:04:17.0 2006-01-31 14:04:29.0 2006-01-31 14:08:09.0 2006-01-31 14:08:09.0 92 92 0 3 0 1 Identifying units 123 482034 2J2SH6Fk63 Unit ES_03, Section ES_03-7 LIT15 1 t/n = 10 2006-02-01 15:16:39.0 2006-02-01 15:16:46.0 2006-02-01 15:16:46.0 2006-02-01 15:16:46.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 196 482309 2J2SH6Fk63 Unit CTA1_08, Section CTA1_08-3 L5FB02 1 XLabel 2006-02-14 14:02:30.0 2006-02-14 14:03:00.0 2006-02-14 14:03:00.0 2006-02-14 14:03:00.0 30 30 1 0 0 1 Labelling the axes 110 482743 2J2SH6Fk63 Unit ES_04, Section ES_04-14 LIT37A 1 z*1 = -u*y 2006-03-02 14:03:22.0 2006-03-02 14:03:28.0 2006-03-02 14:03:28.0 2006-03-02 14:03:28.0 6 6 1 0 0 1 483227 2J2SH6Fk63 Unit CTA1_10, Section CTA1_10-4 DISTFB07_SP 1 13.5G = 2040 2006-03-22 09:12:47.0 2006-03-22 09:13:01.0 2006-03-22 09:13:01.0 2006-03-22 09:13:01.0 14 14 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 137~~312 483609 2J2SH6Fk63 Unit ES_07, Section ES_07-6 LIT72A 1 n+q = c*s 2006-03-30 14:16:55.0 2006-03-30 14:17:32.0 2006-03-30 14:17:32.0 2006-03-30 14:17:32.0 37 37 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 309 484121 2J2SH6Fk63 Unit CTA1_12, Section CTA1_12-6 SYSFB03 1 25H = 87.5 2006-05-04 14:20:33.0 2006-05-04 14:20:38.0 2006-05-04 14:20:38.0 2006-05-04 14:20:38.0 5 5 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 173~~419 484332 2J2SH6Fk63 Unit ES_05, Section ES_05-8 EG61 2 -8.21+8.75x+3.55 = 8.56x 2006-05-18 09:08:22.0 2006-05-18 09:08:26.0 2006-05-18 09:08:26.0 2006-05-18 09:08:26.0 4 4 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 192 484578 2J2SH6Fk63 Unit CTA1_14, Section CTA1_14-2 IPCBABY 1 R1C2 2006-06-05 09:00:56.0 2006-06-05 09:01:09.0 2006-06-05 09:01:09.0 2006-06-05 09:01:09.0 13 13 1 0 0 1 484801 2rSW5fZ50h Unit CTA1_01, Section CTA1_01-4 JAN04B 1 R2C2 2005-09-06 13:59:18.0 2005-09-06 13:59:26.0 2005-09-06 13:59:26.0 2005-09-06 13:59:26.0 8 8 1 0 0 1 Identifying units 28 485074 2rSW5fZ50h Unit CTA1_02, Section CTA1_02-4 REAL28 1 R5C2 2005-10-27 14:10:07.0 2005-10-27 14:10:25.0 2005-10-27 14:10:25.0 2005-10-27 14:10:25.0 18 18 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, negative slope 130~~65~~22 485220 2rSW5fZ50h Unit ES_01, Section ES_01-6 EG22 6 x = -7+3 2006-01-19 14:02:37.0 2006-01-19 14:02:40.0 2006-01-19 14:02:40.0 2006-01-19 14:02:40.0 3 3 1 0 0 1 [SkillRule: Select Combine Terms; CLT]~~[SkillRule: Consolidate vars, no coeff; CLT] 19~~28 485384 517LN52NOL Unit CTA1_01, Section CTA1_01-3 BH1T19 1 R5C1 2005-10-27 14:09:32.0 2005-10-27 14:09:38.0 2005-10-27 14:09:38.0 2005-10-27 14:09:38.0 6 6 1 0 0 1 Entering a given 36 485748 517LN52NOL Unit CTA1_02, Section CTA1_02-4 L2FB14A 3 R5C1 2006-02-16 13:54:15.0 2006-02-16 13:54:24.0 2006-02-16 13:54:24.0 2006-02-16 13:54:24.0 9 9 1 0 0 1 Entering a given 113 485907 517LN52NOL Unit ES_01, Section ES_01-6 EG21 4 y+5-5 = 6-5 2006-02-17 10:10:35.0 2006-02-17 10:10:39.0 2006-02-17 10:10:39.0 2006-02-17 10:10:39.0 4 4 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 24 486175 517LN52NOL Unit CTA1_04, Section CTA1_04-3 BH1T41 1 R1C1 2006-02-28 09:40:31.0 2006-02-28 09:40:46.0 2006-02-28 09:40:46.0 2006-02-28 09:40:46.0 15 15 1 0 0 1 486533 517LN52NOL Unit ES_02, Section ES_02-10 EG44 2 2/y*y = -3y 2006-03-02 09:44:52.0 2006-03-02 09:44:58.0 2006-03-02 09:44:58.0 2006-03-02 09:45:01.0 9 9 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 13 486631 517LN52NOL Unit CTA1_13, Section CTA1_13-1 PROP02 1 R6C2 2006-03-02 10:05:42.0 2006-03-02 10:05:47.0 2006-03-02 10:05:47.0 5 5 0 1 0 0 Find Y, Simple~~Using small numbers~~Using difficult numbers 39~~132~~54 487009 517LN52NOL Unit CTA1_06, Section CTA1_06-3 FEB13 1 R1C2 2006-03-08 10:58:21.0 2006-03-08 10:58:31.0 2006-03-08 10:58:31.0 2006-03-08 10:58:31.0 10 10 1 0 0 1 487412 5a5qA8VLfI Unit CTA1_01, Section CTA1_01-4 JAN13A 1 R5C2 2005-09-30 09:37:32.0 2005-09-30 09:37:45.0 2005-09-30 09:37:45.0 2005-09-30 09:37:45.0 13 13 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 84~~52~~20 487554 5a5qA8VLfI Unit CTA1_02, Section CTA1_02-3 BH1T39B 1 YUnit 2005-10-05 09:51:33.0 2005-10-05 09:51:40.0 2005-10-05 09:51:40.0 2005-10-05 09:51:40.0 7 7 1 0 0 1 487850 5a5qA8VLfI Unit ES_01, Section ES_01-8 EG24 2 -8y = -9-8+8 2005-10-11 09:41:08.0 2005-10-11 09:41:15.0 2005-10-11 09:41:15.0 2005-10-11 09:41:15.0 7 7 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 14 488118 5a5qA8VLfI Unit CTA1_04, Section CTA1_04-3 BH1T41C 1 ValidEquations 2005-10-12 15:06:29.0 2005-10-12 15:07:11.0 2005-10-12 15:07:11.0 2005-10-12 15:09:27.0 53 53 1 0 0 3 488580 5a5qA8VLfI Unit ES_02, Section ES_02-10 EG44 1 -2/y*y = -1y 2005-10-18 13:49:27.0 2005-10-18 13:49:36.0 2005-10-18 13:49:36.0 9 9 0 1 0 0 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 24 488733 5a5qA8VLfI Unit CTA1_13, Section CTA1_13-1 PROP06 1 ValidEquations 2005-10-21 10:21:13.0 2005-10-21 10:21:39.0 2005-10-21 10:21:39.0 26 26 0 1 0 0 489411 5a5qA8VLfI Unit CTA1_06, Section CTA1_06-4 L6FB18 1 YUnit 2005-10-28 10:14:34.0 2005-10-28 10:14:41.0 2005-10-28 10:14:41.0 2005-10-28 10:14:41.0 7 7 1 0 0 1 489844 5a5qA8VLfI Unit ES_03, Section ES_03-6 EG52A 1 x1R1 2005-11-03 10:17:11.0 2005-11-03 10:17:15.0 2005-11-03 10:17:15.0 2005-11-03 10:17:15.0 4 4 1 0 0 1 490168 5a5qA8VLfI Unit CTA1_08, Section CTA1_08-3 REAL10 1 yMin 2005-11-10 14:20:58.0 2005-11-10 14:21:07.0 2005-11-10 14:21:07.0 2005-11-10 14:21:07.0 9 9 1 0 0 1 Changing axis bounds 180 490892 5a5qA8VLfI Unit ES_04, Section ES_04-16 LIT54A 1 row3-D-m 2005-11-29 14:11:44.0 2005-11-29 14:11:46.0 2005-11-29 14:11:46.0 2005-11-29 14:11:46.0 2 2 1 0 0 1 491207 5a5qA8VLfI Unit CTA1_10, Section CTA1_10-5 DIST04_SP 2 R4C1 2005-12-07 10:06:50.0 2005-12-07 10:10:03.0 2005-12-07 10:11:56.0 306 306 0 3 4 0 Using small numbers~~Find X, positive slope~~Using difficult numbers 273~~92~~166 491520 5a5qA8VLfI Unit ES_07, Section ES_07-4 LIT63A 1 n*t-h*r-c*j = c*j+z*n-c*j 2005-12-13 09:46:20.0 2005-12-13 09:46:31.0 2005-12-13 09:46:31.0 2005-12-13 09:46:42.0 22 22 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 105 492100 5a5qA8VLfI Unit CTA1_12, Section CTA1_12-5 SYSFB24 1 R1C1 2006-01-03 10:00:30.0 2006-01-03 10:01:18.0 2006-01-03 10:01:18.0 2006-01-03 10:01:18.0 48 48 1 0 0 1 492629 5a5qA8VLfI Unit ES_05, Section ES_05-10 EG62 4 -86.66x+22.2-57.23x = -11.92+57.23x-57.23x 2006-01-11 10:01:00.0 2006-01-11 10:01:16.0 2006-01-11 10:01:16.0 2006-01-11 10:01:40.0 40 40 1 3 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 155 493015 5a5qA8VLfI Unit CTA1_14, Section CTA1_14-4 TPH15 1 -4000M/3 = -21000 2006-01-27 10:14:10.0 2006-01-27 10:14:15.0 2006-01-27 10:14:24.0 2006-01-27 10:14:24.0 14 14 0 1 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 580~~161 493340 5a5qA8VLfI Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLE-3X-13 1 Formula 1 XIntercept 2006-01-31 14:21:01.0 2006-01-31 14:21:10.0 2006-01-31 14:21:10.0 2006-01-31 14:21:10.0 9 9 1 0 0 1 Placing coordinate point 30 493794 5a5qA8VLfI Unit CTA1_15, Section CTA1_15-3 SYSFB06 1 R2C3 2006-02-03 10:00:20.0 2006-02-03 10:00:26.0 2006-02-03 10:00:26.0 2006-02-03 10:00:26.0 6 6 1 0 0 1 Identifying units 303 494013 5a5qA8VLfI Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE5TRE 1 Point 1.1 2006-02-03 13:59:04.0 2006-02-03 13:59:36.0 2006-02-03 14:00:11.0 67 67 0 0 3 0 Correctly placing points 45 494324 5a5qA8VLfI Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR47 1 a-factor-2 2006-02-13 09:36:39.0 2006-02-13 09:36:41.0 2006-02-13 09:36:41.0 2006-02-13 09:40:07.0 11 11 1 0 0 6 494638 5a5qA8VLfI Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR18 1 den1-factor-node 2006-02-16 13:45:33.0 2006-02-16 13:45:36.0 2006-02-16 13:45:36.0 2006-02-16 13:45:36.0 3 3 1 0 0 1 qft-den-sp 11 495243 5a5qA8VLfI Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD7TRE 3 yScale 2006-05-04 14:21:10.0 2006-05-04 14:21:14.0 2006-05-04 14:21:14.0 2006-05-04 14:22:31.0 68 68 1 0 0 6 Changing axis intervals 162 495550 5a5qA8VLfI Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 constant factors2R1 2006-05-23 13:59:54.0 2006-05-23 13:59:56.0 2006-05-23 13:59:56.0 2006-05-23 13:59:56.0 2 2 1 0 0 1 495646 5a5qA8VLfI Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 2 FinalAnswer 2006-05-24 12:56:11.0 2006-05-24 12:56:35.0 2006-05-24 12:56:35.0 2006-05-24 12:56:35.0 24 24 1 0 0 1 simplify-fractions-sp 35 495781 5a5qA8VLfI Unit CTA1_20, Section CTA1_20-2 2PTFB20 1 -119.21+1.75H = -119.21 2006-05-25 13:57:05.0 2006-05-25 13:57:23.0 2006-05-25 13:57:23.0 2006-05-25 13:57:23.0 18 18 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 470~~100 495963 5yasLi1Avt Unit CTA1_01, Section CTA1_01-3 BH1T34B 1 R1C1 2005-09-06 14:14:48.0 2005-09-06 14:15:34.0 2005-09-06 14:15:34.0 2005-09-06 14:15:34.0 46 46 1 0 0 1 496325 5yasLi1Avt Unit CTA1_02, Section CTA1_02-4 REAL28 2 R7C2 2005-10-06 10:28:21.0 2005-10-06 10:28:33.0 2005-10-06 10:28:33.0 2005-10-06 10:28:33.0 12 12 1 0 0 1 Entering a given 111 496607 5yasLi1Avt Unit ES_01, Section ES_01-9 EG23 1 -1 = 8y 2005-10-11 14:02:37.0 2005-10-11 14:02:51.0 2005-10-11 14:03:03.0 2005-10-11 14:03:03.0 26 26 0 1 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 8~~16 496828 5yasLi1Avt Unit CTA1_04, Section CTA1_04-2 PERCENT03A 1 R4C1 2005-10-25 14:00:48.0 2005-10-25 14:00:55.0 2005-10-25 14:00:55.0 2005-10-25 14:00:55.0 7 7 1 0 0 1 Entering a given 157 497342 5yasLi1Avt Unit ES_02, Section ES_02-7 EG41 10 -10 = x/-9 2005-11-15 13:55:24.0 2005-11-15 13:55:38.0 2005-11-15 13:55:38.0 2005-11-15 13:55:38.0 14 14 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 116~~40 497545 5yasLi1Avt Unit CTA1_13, Section CTA1_13-1 PROP10 1 R1C2 2005-11-22 13:41:09.0 2005-11-22 13:41:47.0 2005-11-22 13:41:47.0 2005-11-22 13:41:47.0 38 38 1 0 0 1 498257 5yasLi1Avt Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 ValidEquations 2006-01-31 13:48:52.0 2006-01-31 13:49:04.0 2006-01-31 13:49:04.0 2006-01-31 13:49:30.0 19 19 1 0 0 3 498622 5yasLi1Avt Unit ES_03, Section ES_03-8 LIT16A 1 z*c = 34 2006-02-07 14:13:57.0 2006-02-07 14:14:08.0 2006-02-07 14:14:08.0 2006-02-07 14:14:08.0 11 11 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 256 498912 5yasLi1Avt Unit CTA1_08, Section CTA1_08-3 JAN12 1 R3C2 2006-02-14 14:14:16.0 2006-02-14 14:14:32.0 2006-02-14 14:16:38.0 2006-02-14 14:16:38.0 142 142 0 5 4 1 Using small numbers~~Write expression, negative slope~~Using difficult numbers 241~~23~~134 499382 5yasLi1Avt Unit ES_04, Section ES_04-15 LIT59 1 b+r*(x+y) = v-s 2006-02-27 14:12:27.0 2006-02-27 14:12:55.0 2006-02-27 14:12:55.0 2006-02-27 14:12:55.0 28 28 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 83 499766 5yasLi1Avt Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 R3C2 2006-03-20 13:53:04.0 2006-03-20 13:53:11.0 2006-03-20 13:54:35.0 2006-03-20 13:54:35.0 51 51 0 0 6 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 244~~110~~134 500266 5yasLi1Avt Unit ES_07, Section ES_07-6 LIT82A 1 w*(m*j+j) = x*j 2006-04-04 10:10:39.0 2006-04-04 10:10:49.0 2006-04-04 10:10:49.0 2006-04-04 10:10:49.0 10 10 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 446 500551 5yasLi1Avt Unit CTA1_12, Section CTA1_12-4 SYSFB23 1 R6C2 2006-04-18 14:06:33.0 2006-04-18 14:06:41.0 2006-04-18 14:07:11.0 2006-04-18 14:07:11.0 38 38 0 2 0 1 Entering a given 456 501085 5yasLi1Avt Unit ES_05, Section ES_05-11 LIT86 1 b*y = 9-5x 2006-05-17 13:58:51.0 2006-05-17 13:59:01.0 2006-05-17 13:59:01.0 2006-05-17 13:59:01.0 10 10 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 553 501235 5yasLi1Avt Unit CTA1_14, Section CTA1_14-2 1PTB09 1 R3C2 2006-05-23 14:00:10.0 2006-05-23 14:01:24.0 2006-05-23 14:02:14.0 2006-05-23 14:02:14.0 118 118 0 3 4 1 Using simple numbers~~Using large numbers~~Write expression, initial and point 310~~173~~3 501467 66Ak255E3j Unit CTA1_01, Section CTA1_01-4 L1FB12C 1 R3C2 2005-12-09 14:17:59.0 2005-12-09 14:18:25.0 2005-12-09 14:18:25.0 2005-12-09 14:18:25.0 26 26 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 51~~27~~11 501648 66Ak255E3j Unit CTA1_02, Section CTA1_02-3 L3NOV12A 1 R5C1 2006-01-03 14:15:26.0 2006-01-03 14:15:35.0 2006-01-03 14:15:35.0 2006-01-03 14:15:35.0 9 9 1 0 0 1 Entering a given~~Convert unit, mixed 73~~1 501864 66Ak255E3j Unit ES_01, Section ES_01-7 EG21 1 constant terms1R1 2006-01-10 14:52:13.0 2006-01-10 14:52:39.0 2006-01-10 14:52:39.0 2006-01-10 14:52:39.0 26 26 1 0 0 1 502052 66Ak255E3j Unit CTA1_04, Section CTA1_04-3 DEC01C 1 0.5H = 4 2006-01-12 14:05:39.0 2006-01-12 14:05:47.0 2006-01-12 14:05:47.0 2006-01-12 14:05:47.0 8 8 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 22~~35 502269 66Ak255E3j Unit ES_02, Section ES_02-7 EG41 1 2*6 = y/6*6 2006-01-18 15:36:57.0 2006-01-18 15:37:01.0 2006-01-18 15:37:07.0 2006-01-18 15:37:07.0 10 10 0 1 0 1 502407 66Ak255E3j Unit CTA1_13, Section CTA1_13-1 PROP01 1 R6C1 2006-01-19 14:03:08.0 2006-01-19 14:03:21.0 2006-01-19 14:03:21.0 2006-01-19 14:03:21.0 13 13 1 0 0 1 Entering a given 163 502878 66Ak255E3j Unit CTA1_06, Section CTA1_06-4 BH1T51 1 R6C1 2006-01-31 13:48:07.0 2006-01-31 13:48:25.0 2006-01-31 13:48:25.0 2006-01-31 13:48:25.0 18 18 1 0 0 1 Entering a given~~Convert unit, standard 251~~17 503127 66Ak255E3j Unit ES_03, Section ES_03-6 EG52 1 -4.4 = -6.2y 2006-02-02 13:56:10.0 2006-02-02 13:57:00.0 2006-02-02 13:57:00.0 2006-02-02 13:57:00.0 50 50 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 132~~48 503436 66Ak255E3j Unit CTA1_08, Section CTA1_08-3 REAL10 1 YLabel 2006-02-10 13:54:11.0 2006-02-10 13:54:20.0 2006-02-10 13:54:20.0 2006-02-10 13:54:20.0 9 9 1 0 0 1 Labelling the axes 97 503655 66Ak255E3j Unit ES_04, Section ES_04-12 EG58A 2 -49-1024 = -819x+1024-1024 2006-02-17 14:06:12.0 2006-02-17 14:06:34.0 2006-02-17 14:06:34.0 2006-02-17 14:06:45.0 33 33 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 49 504086 66Ak255E3j Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 R3C1 2006-04-11 13:50:12.0 2006-04-11 13:50:17.0 2006-04-11 13:50:17.0 2006-04-11 13:50:17.0 5 5 1 0 0 1 Define Variable 106 504275 66Ak255E3j Unit ES_07, Section ES_07-4 LIT67A 1 (b*c-f*h)/(-g+d) = w*(-g+d)/(-g+d) 2006-04-25 14:06:54.0 2006-04-25 14:07:21.0 2006-04-25 14:07:21.0 2006-04-25 14:07:24.0 30 30 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 84 504493 66Ak255E3j Unit CTA1_12, Section CTA1_12-3 SYSFB21 1 0.75F = 90 2006-05-11 13:52:29.0 2006-05-11 13:52:37.0 2006-05-11 13:52:37.0 2006-05-11 13:52:37.0 8 8 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 138~~296 504762 66Ak255E3j Unit ES_05, Section ES_05-11 LIT87 1 12y = 1-a*x 2006-05-23 14:09:32.0 2006-05-23 14:09:42.0 2006-05-23 14:09:42.0 2006-05-23 14:09:42.0 10 10 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 343 504815 66Ak255E3j Unit CTA1_14, Section CTA1_14-2 1PTFB11 3 -210-150/30*X = 0 2006-06-05 13:55:39.0 2006-06-05 13:55:45.0 2006-06-05 13:55:45.0 2006-06-05 13:55:45.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 271 505038 6jCygPdswz Unit CTA1_01, Section CTA1_01-4 REAL32B 1 R1C2 2005-09-01 13:56:55.0 2005-09-01 13:57:29.0 2005-09-01 13:57:29.0 2005-09-01 13:57:29.0 34 34 1 0 0 1 505287 6jCygPdswz Unit CTA1_02, Section CTA1_02-3 L3NOV12B 1 R7C1 2005-09-08 12:17:32.0 2005-09-08 12:18:20.0 2005-09-08 12:18:20.0 2005-09-08 12:18:20.0 48 48 1 0 0 1 Entering a given~~Convert unit, standard 103~~12 505566 6jCygPdswz Unit ES_01, Section ES_01-5 EG14A 2 x = 35.1+44*50 2005-09-12 12:16:25.0 2005-09-12 12:16:28.0 2005-09-12 12:16:28.0 2005-09-12 12:16:28.0 3 3 1 0 0 1 [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] 38 505835 6jCygPdswz Unit CTA1_04, Section CTA1_04-3 PERCENT14C 2 R7C1 2005-09-15 10:03:53.0 2005-09-15 10:03:54.0 2005-09-15 10:03:54.0 1 1 0 1 0 0 Using small numbers~~Find X, positive slope~~Using difficult numbers 108~~15~~36 506158 6jCygPdswz Unit ES_02, Section ES_02-6 EG40 5 FinalAnswer 2005-09-20 12:22:18.0 2005-09-20 12:22:21.0 2005-09-20 12:22:21.0 2005-09-20 12:22:21.0 3 3 1 0 0 1 simplify-fractions-sp~~combine-like-terms-sp 5~~27 506451 6jCygPdswz Unit CTA1_13, Section CTA1_13-1 PROP06 1 R2C1 2005-09-27 13:52:44.0 2005-09-27 13:52:47.0 2005-09-27 13:52:55.0 2005-09-27 13:52:55.0 11 11 0 0 2 1 Identifying units 90 506918 6jCygPdswz Unit CTA1_06, Section CTA1_06-3 FOR05 1 R3C2 2005-10-04 12:03:59.0 2005-10-04 12:05:09.0 2005-10-04 12:05:31.0 2005-10-04 12:05:31.0 92 92 0 2 3 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 200~~70~~108 507510 6jCygPdswz Unit ES_03, Section ES_03-7 LIT12 1 k-3 = h 2005-10-13 12:22:16.0 2005-10-13 12:22:20.0 2005-10-13 12:22:20.0 2005-10-13 12:22:20.0 4 4 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 137~~6 507846 6jCygPdswz Unit CTA1_08, Section CTA1_08-3 FEB08 1 XUnit 2005-10-20 09:42:26.0 2005-10-20 09:42:29.0 2005-10-20 09:42:29.0 2005-10-20 09:42:29.0 3 3 1 0 0 1 508301 6jCygPdswz Unit ES_04, Section ES_04-16 LIT60A 1 q*c*r = d*x-q*c*v 2005-10-26 12:21:36.0 2005-10-26 12:21:44.0 2005-10-26 12:21:44.0 2005-10-26 12:21:44.0 8 8 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 261 508608 6jCygPdswz Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 R4C1 2005-11-01 12:07:37.0 2005-11-01 12:07:41.0 2005-11-01 12:07:41.0 2005-11-01 12:07:41.0 4 4 1 0 0 1 Entering a given 420 508787 6jCygPdswz Unit ES_07, Section ES_07-4 LIT70A 1 6u-r*u-6u = x*s+r*w-6u 2005-11-09 12:13:05.0 2005-11-09 12:13:12.0 2005-11-09 12:13:12.0 2005-11-09 12:14:00.0 55 55 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 69 509353 6jCygPdswz Unit CTA1_12, Section CTA1_12-6 SYSFB03 1 R7C1 2005-11-22 14:05:25.0 2005-11-22 14:05:34.0 2005-11-22 14:05:34.0 2005-11-22 14:05:34.0 9 9 1 0 0 1 509583 6jCygPdswz Unit ES_05, Section ES_05-8 EG61 11 7.61x+0.35-0.35 = -9.74-0.35 2005-12-08 14:10:05.0 2005-12-08 14:10:27.0 2005-12-08 14:10:27.0 2005-12-08 14:12:10.0 125 125 1 3 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 111 510093 6jCygPdswz Unit CTA1_14, Section CTA1_14-4 IPCEVEREST 2 R6C1 2006-01-09 12:00:10.0 2006-01-09 12:00:17.0 2006-01-09 12:00:17.0 2006-01-09 12:00:17.0 7 7 1 0 0 1 Entering a given 575 510570 6jCygPdswz Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-2X-2YGE9 1 ShadeButton1 2006-02-08 12:33:49.0 2006-02-08 12:33:56.0 2006-02-08 12:33:56.0 2006-02-08 12:33:56.0 7 7 1 0 0 1 Shading greater than~~Including the line when shading~~Shading GLF equation with negative slope 10~~13~~4 511025 6jCygPdswz Unit CTA1_15, Section CTA1_15-3 SYS10 1 R6C1 2006-02-16 12:27:45.0 2006-02-16 12:28:00.0 2006-02-16 12:28:00.0 2006-02-16 12:28:00.0 15 15 1 0 0 1 Entering a given 634 511147 6jCygPdswz Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE8TRE 1 R2C2 2006-02-17 12:14:56.0 2006-02-17 12:15:00.0 2006-02-17 12:15:00.0 2006-02-17 12:15:00.0 4 4 1 0 0 1 Identifying units 321 511362 6jCygPdswz Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR42 1 a-factor-2 2006-02-28 12:03:01.0 2006-02-28 12:03:03.0 2006-02-28 12:03:03.0 2006-02-28 12:03:21.0 5.5 5.5 1 0 0 3 511471 6jCygPdswz Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR22 1 a-factor-node 2006-02-28 12:16:10.0 2006-02-28 12:16:14.0 2006-02-28 12:16:14.0 2006-02-28 12:16:14.0 4 4 1 0 0 1 511692 6jCygPdswz Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD6TRE 1 R8C1 2006-03-07 12:32:55.0 2006-03-07 12:33:26.0 2006-03-07 12:33:26.0 2006-03-07 12:33:26.0 31 31 1 0 0 1 Entering a given~~Entering a given linear value 705~~36 511837 6jCygPdswz Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 y1R1 2006-03-08 12:25:45.0 2006-03-08 12:25:46.0 2006-03-08 12:25:46.0 2006-03-08 12:25:46.0 1 1 1 0 0 1 512069 6jCygPdswz Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01-FIXED 2 row1-D-constant factors 2006-03-13 12:24:57.0 2006-03-13 12:24:59.0 2006-03-13 12:24:59.0 2006-03-13 12:24:59.0 2 2 1 0 0 1 512413 6jCygPdswz Unit CTA1_20, Section CTA1_20-2 1PTFB18 1 R6C1 2006-05-11 14:04:59.0 2006-05-11 14:05:04.0 2006-05-11 14:06:19.0 2006-05-11 14:06:19.0 80 80 0 3 4 1 Entering a given~~Convert unit, standard 752~~50 512717 6jCygPdswz Unit CTA1_21, Section CTA1_21-2 PROP17 1 Formula 1 Coeff 1 2006-05-23 14:21:41.0 2006-05-23 14:21:47.0 2006-05-23 14:22:58.0 50 50 0 11 3 0 Setting the slope 30 513070 6jCygPdswz Unit CTA1_22, Section CTA1_22-1 SYS08 1 yMin 2006-05-26 10:21:39.0 2006-05-26 10:21:42.0 2006-05-26 10:21:42.0 2006-05-26 10:21:42.0 3 3 1 0 0 1 Changing axis bounds 380 513085 6jCygPdswz Unit ES_06, Section ES_06-1 EG63A 1 -232.61278519-632362.632x = 327.97-425.76(x-242.71) 2006-05-26 13:01:20.0 2006-05-26 13:01:48.0 2006-05-26 13:01:53.0 2006-05-26 13:01:53.0 33 33 0 0 2 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 151 513220 78t79xOebG Unit CTA1_01, Section CTA1_01-3 BH1T19 1 R1C1 2005-09-01 10:13:32.0 2005-09-01 10:13:41.0 2005-09-01 10:13:41.0 2005-09-01 10:13:41.0 9 9 1 0 0 1 513533 78t79xOebG Unit CTA1_02, Section CTA1_02-4 L2FB14C 1 R1C2 2005-09-13 09:43:49.0 2005-09-13 09:44:06.0 2005-09-13 09:45:08.0 2005-09-13 09:45:08.0 79 79 0 1 0 1 513682 78t79xOebG Unit ES_01, Section ES_01-6 EG21 4 3+x = -1 2005-09-14 10:15:39.0 2005-09-14 10:15:55.0 2005-09-14 10:16:19.0 2005-09-14 10:16:19.0 31 31 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 7~~4 513943 78t79xOebG Unit CTA1_04, Section CTA1_04-2 BH1T32 1 R3C1 2005-09-22 11:11:26.0 2005-09-22 11:11:41.0 2005-09-22 11:11:41.0 2005-09-22 11:11:41.0 15 15 1 0 0 1 Define Variable 42 514322 78t79xOebG Unit ES_02, Section ES_02-7 EG41 2 y/-3+2 = -8 2005-09-29 11:13:21.0 2005-09-29 11:13:45.0 2005-09-29 11:13:45.0 2005-09-29 11:13:45.0 24 24 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 58 514533 78t79xOebG Unit CTA1_13, Section CTA1_13-1 PROP06 3 R4C1 2005-10-06 10:48:38.0 2005-10-06 10:49:16.0 2005-10-06 10:49:16.0 2005-10-06 10:49:16.0 38 38 1 0 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 143~~31~~71 514996 78t79xOebG Unit CTA1_06, Section CTA1_06-4 L6FB07 1 xMax 2005-11-03 14:06:00.0 2005-11-03 14:08:29.0 2005-11-03 14:08:29.0 2005-11-03 14:08:29.0 149 149 1 0 0 1 Changing axis bounds 85 515418 78t79xOebG Unit ES_03, Section ES_03-6 EG52A 1 -18.1x/-18.1 = -3.7/-18.1 2005-11-29 14:19:12.0 2005-11-29 14:19:15.0 2005-11-29 14:19:15.0 2005-11-29 14:19:54.0 42 42 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 36 515770 78t79xOebG Unit CTA1_08, Section CTA1_08-3 L5FB02 1 R3C1 2005-12-20 14:03:39.0 2005-12-20 14:05:26.0 2005-12-20 14:05:26.0 2005-12-20 14:05:26.0 107 107 1 0 0 1 Define Variable 103 516105 78t79xOebG Unit ES_04, Section ES_04-12 EG58A 10 6-756 = 129y 2006-01-05 14:19:51.0 2006-01-05 14:19:57.0 2006-01-05 14:19:57.0 2006-01-05 14:19:57.0 6 6 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 113 516459 78t79xOebG Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 ValidEquations 2006-01-24 14:01:49.0 2006-01-24 14:02:52.0 2006-01-24 14:02:52.0 2006-01-24 14:05:39.0 153 153 1 0 0 3 516637 78t79xOebG Unit ES_07, Section ES_07-4 LIT66A 1 x*(-z+s)/(-z+s) = (t*n+c*h)/(-z+s) 2006-01-31 14:16:47.0 2006-01-31 14:16:50.0 2006-01-31 14:16:50.0 2006-01-31 14:17:30.0 43 43 1 1 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 70 516932 78t79xOebG Unit CTA1_12, Section CTA1_12-4 SYSFB22 1 -5M = -100 2006-02-27 13:55:59.0 2006-02-27 13:56:04.0 2006-02-27 13:56:04.0 2006-02-27 13:56:04.0 5 5 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 346~~96 517324 78t79xOebG Unit ES_05, Section ES_05-10 EG62A 1 constant terms1R1 2006-03-08 13:44:11.0 2006-03-08 13:44:13.0 2006-03-08 13:44:13.0 2006-03-08 13:44:13.0 2 2 1 0 0 1 517675 78t79xOebG Unit CTA1_14, Section CTA1_14-4 LDEMO_PTPT 1 R2C2 2006-03-30 14:25:58.0 2006-03-30 14:26:00.0 2006-03-30 14:26:00.0 2006-03-30 14:26:00.0 2 2 1 0 0 1 Identifying units 237 518023 78t79xOebG Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-2X-2YGE9 1 xMin 2006-04-25 14:14:56.0 2006-04-25 14:15:03.0 2006-04-25 14:15:03.0 2006-04-25 14:15:03.0 7 7 1 0 0 1 518389 78t79xOebG Unit CTA1_15, Section CTA1_15-3 SYSFB06 2 xMin 2006-05-18 14:19:29.0 2006-05-18 14:19:56.0 2006-05-18 14:19:56.0 2006-05-18 14:19:56.0 27 27 1 0 0 1 Changing axis bounds 236 518488 78t79xOebG Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE7TRE 1 R9C2 2006-05-19 09:17:22.0 2006-05-19 09:17:27.0 2006-05-19 09:17:27.0 2006-05-19 09:17:27.0 5 5 1 0 0 1 Entering a given~~Entering a given quadratic value 467~~8 518639 78t79xOebG Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR10 1 a-factor-1 2006-05-23 14:44:33.0 2006-05-23 14:44:36.0 2006-05-23 14:44:36.0 2006-05-23 14:44:59.0 5 5 1 0 0 2 519013 78t79xOebG Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR04 1 a-factor-node 2006-05-26 14:24:05.0 2006-05-26 14:24:09.0 2006-05-26 14:24:09.0 2006-05-26 14:24:09.0 4 4 1 0 0 1 519163 7y5NJZ7S6u Unit CTA1_01, Section CTA1_01-3 REAL20C 1 R4C2 2005-09-22 14:06:49.0 2005-09-22 14:07:06.0 2005-09-22 14:12:13.0 2005-09-22 14:12:13.0 194 194 0 1 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 43~~21~~7 519486 7y5NJZ7S6u Unit CTA1_02, Section CTA1_02-4 BH1T29 1 R5C2 2005-10-26 15:23:41.0 2005-10-26 15:23:54.0 2005-10-26 15:23:54.0 2005-10-26 15:23:54.0 13 13 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 131~~57~~15 519671 7y5NJZ7S6u Unit ES_01, Section ES_01-5 EG13 1 30.6+7 = x 2005-10-27 14:32:02.0 2005-10-27 14:32:05.0 2005-10-27 14:32:05.0 2005-10-27 14:32:05.0 3 3 1 0 0 1 [SkillRule: Select Combine Terms; CLT]~~[SkillRule: Consolidate vars, no coeff; CLT] 12~~12 519979 7y5NJZ7S6u Unit CTA1_04, Section CTA1_04-4 L5FB04C 1 R1C2 2005-11-15 13:55:41.0 2005-11-15 13:57:03.0 2005-11-15 13:57:03.0 2005-11-15 13:57:03.0 82 82 1 0 0 1 520267 7y5NJZ7S6u Unit ES_02, Section ES_02-6 EG40 5 6x/6 = -7/6 2005-12-07 14:59:22.0 2005-12-07 14:59:28.0 2005-12-07 14:59:45.0 2005-12-07 15:04:15.0 279 279 0 1 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 10 520526 7y5NJZ7S6u Unit CTA1_13, Section CTA1_13-1 PROP09 1 1/6*A = 700 2005-12-15 14:35:20.0 2005-12-15 14:35:29.0 2005-12-15 14:35:29.0 2005-12-15 14:35:29.0 9 9 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 119 521173 7y5NJZ7S6u Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 R1C1 2006-01-30 09:13:29.0 2006-01-30 09:14:04.0 2006-01-30 09:14:04.0 2006-01-30 09:14:04.0 35 35 1 0 0 1 521634 7y5NJZ7S6u Unit ES_03, Section ES_03-8 LIT11A 1 2-n+n = t+n 2006-02-06 14:05:36.0 2006-02-06 14:05:47.0 2006-02-06 14:05:47.0 2006-02-06 14:06:01.0 25 25 1 0 0 2 521936 7y5NJZ7S6u Unit CTA1_08, Section CTA1_08-3 JAN12 1 YLabel 2006-02-08 11:58:10.0 2006-02-08 11:58:16.0 2006-02-08 11:58:16.0 2006-02-08 11:58:16.0 6 6 1 0 0 1 Labelling the axes 113 522286 7y5NJZ7S6u Unit ES_04, Section ES_04-13 LIT24 1 7z = b-8 2006-02-14 12:21:28.0 2006-02-14 12:21:32.0 2006-02-14 12:21:32.0 2006-02-14 12:21:32.0 4 4 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 307 522805 7y5NJZ7S6u Unit CTA1_10, Section CTA1_10-6 DISTFB10_SP 1 ValidEquations 2006-03-01 14:58:56.0 2006-03-01 14:59:32.0 2006-03-01 14:59:32.0 2006-03-01 14:59:33.0 37 37 1 0 0 2 523005 7y5NJZ7S6u Unit ES_07, Section ES_07-5 LIT72 1 (m+n)/r = b 2006-03-07 15:02:06.0 2006-03-07 15:02:12.0 2006-03-07 15:02:12.0 2006-03-07 15:02:12.0 6 6 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 153~~394 523302 7y5NJZ7S6u Unit CTA1_12, Section CTA1_12-4 SYSFB04 1 Intersection 1 Y 2006-03-22 15:22:10.0 2006-03-22 15:22:14.0 2006-03-22 15:22:14.0 2006-03-22 15:22:14.0 4 4 1 0 0 1 Labelling point of intersection 16 523655 7y5NJZ7S6u Unit ES_05, Section ES_05-11 LIT38 1 y = m*x+b 2006-03-31 09:25:21.0 2006-03-31 09:25:37.0 2006-03-31 09:25:37.0 2006-03-31 09:25:37.0 16 16 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 401 524048 7y5NJZ7S6u Unit CTA1_14, Section CTA1_14-4 TPH15 3 R6C1 2006-05-11 14:20:00.0 2006-05-11 14:20:10.0 2006-05-12 08:56:07.0 2006-05-11 14:20:10.0 10 10 0 1 0 0 Using large numbers~~Find X, negative slope~~Using difficult numbers 175~~44~~200 524307 7YX78oEdjZ Unit CTA1_01, Section CTA1_01-4 JAN04B 1 R1C1 2005-12-21 10:14:44.0 2005-12-21 10:15:01.0 2005-12-21 10:15:01.0 2005-12-21 10:15:01.0 17 17 1 0 0 1 524624 7YX78oEdjZ Unit CTA1_02, Section CTA1_02-4 REAL28 1 R4C2 2006-01-10 09:52:04.0 2006-01-10 09:52:11.0 2006-01-10 09:52:29.0 2006-01-10 09:52:29.0 25 25 0 0 2 1 Using simple numbers~~Using small numbers~~Find Y, negative slope 151~~74~~19 524882 7YX78oEdjZ Unit ES_01, Section ES_01-7 EG22 1 constant termsR2 2006-01-12 09:48:56.0 2006-01-12 09:49:06.0 2006-01-12 09:53:41.0 2006-01-12 10:13:39.0 263 263 0 22 4 10 525164 7YX78oEdjZ Unit CTA1_04, Section CTA1_04-4 L5FB04 1 -2.5c = 35 2006-01-24 10:17:22.0 2006-01-24 10:17:43.0 2006-01-24 10:17:43.0 2006-01-24 10:17:43.0 21 21 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 45~~15 525348 7YX78oEdjZ Unit ES_02, Section ES_02-7 EG41 1 -6 = -2+y/3 2006-01-31 10:00:00.0 2006-01-31 10:00:14.0 2006-01-31 10:00:14.0 2006-01-31 10:00:14.0 14 14 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 50 525455 7YX78oEdjZ Unit CTA1_13, Section CTA1_13-1 PROP04 2 R1C2 2006-02-02 10:14:24.0 2006-02-02 10:14:26.0 2006-02-02 10:14:42.0 2006-02-02 10:14:42.0 18 18 0 1 0 1 525585 9QD9297moO Unit CTA1_01, Section CTA1_01-3 REAL20 1 R6C2 2005-09-13 14:00:20.0 2005-09-13 14:00:26.0 2005-09-13 14:06:30.0 2005-09-13 14:06:30.0 38 38 0 3 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 43~~25~~7 525933 9QD9297moO Unit CTA1_02, Section CTA1_02-3 L3NOV12C 1 yMax 2005-10-05 09:46:49.0 2005-10-05 09:47:00.0 2005-10-05 09:47:22.0 2005-10-05 09:47:22.0 25 25 0 1 0 2 Changing axis bounds 33 526298 9QD9297moO Unit ES_01, Section ES_01-6 EG22 7 y-1+1 = -6+1 2005-10-14 10:00:16.0 2005-10-14 10:00:25.0 2005-10-14 10:00:25.0 2005-10-14 10:00:25.0 9 9 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 68 526704 9QD9297moO Unit CTA1_04, Section CTA1_04-2 PERCENT05C 3 R6C1 2005-10-25 13:43:36.0 2005-10-25 13:43:45.0 2005-10-25 13:45:42.0 2005-10-25 13:45:42.0 63 63 0 5 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 100~~19~~26 527575 9QD9297moO Unit ES_02, Section ES_02-8 EG41 14 -y = 6 2005-11-22 09:48:21.0 2005-11-22 09:48:29.0 2005-11-22 09:50:04.0 2005-11-22 09:50:04.0 103 103 0 5 15 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 150~~76~~21 527856 9QD9297moO Unit CTA1_13, Section CTA1_13-1 PROP06 1 2/3*X = 7000 2005-12-01 10:21:15.0 2005-12-01 10:21:24.0 2005-12-01 10:21:24.0 2005-12-01 10:21:24.0 9 9 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 185 528711 9QD9297moO Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 R1C1 2006-01-10 13:49:41.0 2006-01-10 13:52:02.0 2006-01-10 13:53:31.0 2006-01-10 13:53:31.0 230 230 0 1 0 1 529156 9QD9297moO Unit ES_03, Section ES_03-5 EG52 5 7.1 = -y-1.5+1.5 2006-01-13 09:43:49.0 2006-01-13 09:43:53.0 2006-01-13 09:43:58.0 2006-01-13 09:43:58.0 9 9 0 1 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 151 529589 9QD9297moO Unit CTA1_08, Section CTA1_08-3 PERCENT12 1 XLabel 2006-01-25 15:01:44.0 2006-01-25 15:03:00.0 2006-01-25 15:03:00.0 2006-01-25 15:03:00.0 76 76 1 0 0 1 Labelling the axes 117 530492 9QD9297moO Unit ES_04, Section ES_04-13 LIT29 1 2/(y-u) = (y-u)*s/(y-u) 2006-02-07 10:10:53.0 2006-02-07 10:10:58.0 2006-02-07 10:10:58.0 2006-02-07 10:10:58.0 5 5 1 0 0 1 531029 9QD9297moO Unit CTA1_10, Section CTA1_10-6 DISTFB11_SP 1 R3C2 2006-02-24 09:39:33.0 2006-02-24 09:39:36.0 2006-02-24 09:40:06.0 2006-02-24 09:40:06.0 33 33 0 1 4 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 270~~114~~149 531446 9QD9297moO Unit ES_07, Section ES_07-4 LIT70A 2 r*u1R1 2006-03-02 09:48:48.0 2006-03-02 09:48:51.0 2006-03-02 09:48:51.0 2006-03-02 09:48:51.0 3 3 1 0 0 1 532302 9QD9297moO Unit CTA1_12, Section CTA1_12-6 SYSFB03 2 R7C3 2006-04-03 13:47:06.0 2006-04-03 13:47:13.0 2006-04-03 13:47:13.0 7 7 0 1 0 0 532822 9QD9297moO Unit ES_05, Section ES_05-10 EG62A 5 -746.36y+1827.66-721.41y = -4727.07 2006-05-25 14:26:25.0 2006-05-25 14:26:29.0 2006-05-25 14:26:29.0 2006-05-25 14:26:29.0 4 4 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 447 533026 EfN583275t Unit CTA1_01, Section CTA1_01-3 BH1T34A 1 R4C2 2005-09-08 14:01:04.0 2005-09-08 14:01:36.0 2005-09-08 14:01:36.0 2005-09-08 14:01:36.0 32 32 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope 62~~26~~8 533311 EfN583275t Unit CTA1_02, Section CTA1_02-4 REAL19 1 R1C2 2005-10-11 13:59:29.0 2005-10-11 14:00:15.0 2005-10-11 14:01:06.0 2005-10-11 14:01:06.0 97 97 0 4 0 1 533551 EfN583275t Unit ES_01, Section ES_01-8 EG23 2 -3 = 8x 2005-10-14 14:45:47.0 2005-10-14 14:45:56.0 2005-10-14 14:45:56.0 2005-10-14 14:45:56.0 9 9 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 3~~7 533770 EfN583275t Unit CTA1_04, Section CTA1_04-4 BH1T47 1 -7T = 1550 2005-10-19 15:19:56.0 2005-10-19 15:20:09.0 2005-10-19 15:22:11.0 2005-10-19 15:22:11.0 135 135 0 2 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 43~~18 534044 EfN583275t Unit ES_02, Section ES_02-10 EG44 3 3 = 6/y 2005-10-25 14:55:37.0 2005-10-25 14:55:51.0 2005-10-25 14:55:51.0 2005-10-25 14:55:51.0 14 14 1 0 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 6 534124 EfN583275t Unit CTA1_13, Section CTA1_13-1 PROP02 1 R5C2 2005-10-25 15:43:53.0 2005-10-25 15:44:02.0 2005-10-25 15:44:02.0 2005-10-25 15:44:02.0 9 9 1 0 0 1 Entering a given 196 534450 EfN583275t Unit CTA1_06, Section CTA1_06-4 L6FB19 1 R7C1 2005-11-15 14:21:43.0 2005-11-15 14:22:13.0 2005-11-15 14:23:53.0 2005-11-15 14:23:53.0 42 42 0 1 0 1 Using large numbers~~Find X, positive slope~~Using difficult numbers 105~~34~~68 534849 EfN583275t Unit ES_03, Section ES_03-6 EG52A 2 FinalAnswer 2005-12-09 13:47:39.0 2005-12-09 13:47:51.0 2005-12-09 13:47:59.0 2005-12-09 13:47:59.0 20 20 0 1 0 1 combine-like-terms-sp 36 535087 EfN583275t Unit CTA1_08, Section CTA1_08-2 BH1T04 1 Formula 1 Coeff 0 2006-01-05 13:56:35.0 2006-01-05 13:56:40.0 2006-01-05 13:56:40.0 2006-01-05 13:56:40.0 5 5 1 0 0 1 Setting the y-intercept 12 535407 EfN583275t Unit ES_04, Section ES_04-13 LIT28 1 h = (z-2)*b 2006-01-19 14:18:29.0 2006-01-19 14:18:36.0 2006-01-19 14:18:55.0 2006-01-19 14:18:55.0 26 26 0 0 3 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 182 535718 EfN583275t Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 R2C1 2006-02-02 13:49:53.0 2006-02-02 13:49:57.0 2006-02-02 13:49:57.0 2006-02-02 13:49:57.0 4 4 1 0 0 1 Identifying units 151 535891 EfN583275t Unit ES_07, Section ES_07-4 LIT64A 1 z*u-g*x = j*(c-y) 2006-02-06 08:14:48.0 2006-02-06 08:15:30.0 2006-02-06 08:15:30.0 2006-02-06 08:15:30.0 42 42 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 252 536234 EfN583275t Unit CTA1_12, Section CTA1_12-4 SYSFB23 1 YLabel 2006-02-16 14:10:12.0 2006-02-16 14:10:20.0 2006-02-16 14:10:20.0 2006-02-16 14:10:20.0 8 8 1 0 0 1 Labelling the axes 126 536516 EfN583275t Unit ES_05, Section ES_05-9 EG62 1 63.54y = -17.2y+191.66 2006-02-27 14:09:18.0 2006-02-27 14:09:31.0 2006-02-27 14:09:54.0 2006-02-27 14:09:54.0 36 36 0 1 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 46 537030 EfN583275t Unit CTA1_14, Section CTA1_14-4 2PTFB16 6 ValidEquations 2006-03-28 13:59:05.0 2006-03-28 13:59:29.0 2006-03-28 13:59:29.0 2006-03-28 14:00:18.0 31 31 1 0 0 3 537261 EfN583275t Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 7X-4YGE15 1 xMin 2006-04-03 13:56:38.0 2006-04-03 13:56:39.0 2006-04-03 13:56:39.0 2006-04-03 13:56:39.0 1 1 1 0 0 1 537539 EfN583275t Unit CTA1_15, Section CTA1_15-3 SYS07 1 Intersection 1 Y 2006-04-24 13:52:44.0 2006-04-24 13:52:45.0 2006-04-24 13:52:45.0 2006-04-24 13:52:45.0 1 1 1 0 0 1 Labelling point of intersection 46 537631 EfN583275t Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE1TRE 3 R8C2 2006-05-25 13:57:14.0 2006-05-25 13:57:16.0 2006-05-25 13:57:16.0 2006-05-25 13:57:16.0 2 2 1 0 0 1 Entering a computed linear value 15 537817 Hd9GW3f95j Unit CTA1_01, Section CTA1_01-3 BH1T19A 1 R3C1 2005-11-29 14:19:19.0 2005-11-29 14:19:24.0 2005-11-29 14:19:24.0 2005-11-29 14:19:24.0 5 5 1 0 0 1 Define Variable 16 538080 Hd9GW3f95j Unit CTA1_02, Section CTA1_02-3 BH1T39 1 yScale 2005-12-09 14:04:30.0 2005-12-09 14:04:37.0 2005-12-09 14:04:37.0 2005-12-09 14:04:37.0 7 7 1 0 0 1 Changing axis intervals 13 538399 Hd9GW3f95j Unit ES_01, Section ES_01-9 EG23 1 3 = 5x 2006-01-03 14:12:48.0 2006-01-03 14:12:56.0 2006-01-03 14:12:56.0 2006-01-03 14:12:56.0 8 8 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 9~~19 538640 Hd9GW3f95j Unit CTA1_04, Section CTA1_04-4 BH1T47A 1 R5C2 2006-01-12 14:19:47.0 2006-01-12 14:20:35.0 2006-01-12 14:20:35.0 48 48 0 1 0 0 Using simple numbers~~Using small numbers~~Find Y, negative slope 170~~116~~26 538923 Hd9GW3f95j Unit ES_02, Section ES_02-9 EG44 2 -1 = -8/x 2006-01-24 14:11:22.0 2006-01-24 14:11:47.0 2006-01-24 14:11:47.0 2006-01-24 14:11:47.0 25 25 1 0 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 2 539088 Hd9GW3f95j Unit CTA1_13, Section CTA1_13-1 PROP13 1 R4C1 2006-01-25 11:46:38.0 2006-01-25 11:46:57.0 2006-01-25 11:47:16.0 2006-01-25 11:47:16.0 38 38 0 2 4 1 Entering a given~~Convert unit, standard 221~~16 539546 Hd9GW3f95j Unit CTA1_06, Section CTA1_06-3 FOR05 1 xMax 2006-01-31 13:57:35.0 2006-01-31 13:57:45.0 2006-01-31 13:57:45.0 2006-01-31 13:57:45.0 10 10 1 0 0 1 Changing axis bounds 82 540031 Hd9GW3f95j Unit ES_03, Section ES_03-5 EG52A 1 13.4y/13.4 = 32.1/13.4 2006-02-03 14:06:20.0 2006-02-03 14:06:27.0 2006-02-03 14:06:27.0 2006-02-03 14:06:27.0 7 7 1 0 0 1 540354 Hd9GW3f95j Unit CTA1_08, Section CTA1_08-3 NOV13 1 Formula 1 Coeff 0 2006-02-10 11:14:01.0 2006-02-10 11:14:07.0 2006-02-10 11:14:07.0 2006-02-10 11:14:07.0 6 6 1 0 0 1 Setting the y-intercept 17 540881 Hd9GW3f95j Unit ES_04, Section ES_04-15 LIT58 1 7+y*(b+n) = r+f 2006-02-15 11:08:07.0 2006-02-15 11:08:19.0 2006-02-15 11:08:19.0 2006-02-15 11:08:19.0 12 12 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 247 541235 Hd9GW3f95j Unit CTA1_10, Section CTA1_10-6 DISTFB12_SP 1 ValidEquations 2006-02-17 11:11:37.0 2006-02-17 11:11:51.0 2006-02-17 11:11:51.0 2006-02-17 11:11:51.0 14 14 1 0 0 2 541363 Hd9GW3f95j Unit ES_07, Section ES_07-4 LIT64A 1 y*j-j*c = g*x-z*u 2006-02-17 14:04:26.0 2006-02-17 14:04:30.0 2006-02-17 14:04:30.0 2006-02-17 14:04:30.0 4 4 1 0 0 1 [SkillRule: Extract to consolidate vars; {factor; factorb; factorc; factord}] 27 541732 Hd9GW3f95j Unit CTA1_12, Section CTA1_12-4 SYSFB22 1 210-5R = 110 2006-03-06 11:36:44.0 2006-03-06 11:36:51.0 2006-03-06 11:36:51.0 2006-03-06 11:36:51.0 7 7 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 344 542093 Hd9GW3f95j Unit ES_05, Section ES_05-7 EG61 2 -2.77x-4.75 = -6.64x+5.81 2006-03-10 11:09:00.0 2006-03-10 11:09:10.0 2006-03-10 11:09:10.0 2006-03-10 11:09:10.0 10 10 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 52 542656 Hd9GW3f95j Unit CTA1_14, Section CTA1_14-4 2PTFB16 1 R3C2 2006-03-30 14:17:21.0 2006-03-30 14:17:24.0 2006-03-30 14:19:08.0 2006-03-30 14:19:08.0 45 45 0 1 5 1 Using simple numbers~~Using small numbers~~Write expression, two points 386~~366~~17 542847 Hd9GW3f95j Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLE-3X-13 2 YIntercept1 2006-04-24 13:42:00.0 2006-04-24 13:42:41.0 2006-04-24 13:42:41.0 2006-04-24 13:42:41.0 41 41 1 0 0 1 Negative Constant, SIF~~Entering y-intercept, SIF 12~~2 543141 Hd9GW3f95j Unit CTA1_15, Section CTA1_15-3 SYS06 1 3056890000-15000000R = 2085000000+5550000R 2006-05-02 14:21:42.0 2006-05-02 14:22:15.0 2006-05-02 14:22:39.0 2006-05-02 14:22:39.0 57 57 0 2 3 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 90 543419 Hd9GW3f95j Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE5TRE 2 xMax 2006-05-17 13:43:27.0 2006-05-17 13:43:52.0 2006-05-17 13:44:07.0 2006-05-17 13:44:07.0 37 37 0 2 0 1 Changing axis bounds 229 543627 Hd9GW3f95j Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR16 1 a-factor-1 2006-05-23 13:58:09.0 2006-05-23 13:58:12.0 2006-05-23 13:58:12.0 2006-05-23 13:58:12.0 3 3 1 0 0 1 543827 hqew2E2l61 Unit CTA1_01, Section CTA1_01-3 BH1T27C 1 R4C2 2005-12-15 14:23:33.0 2005-12-15 14:23:44.0 2005-12-15 14:24:39.0 66 66 0 2 0 0 Using simple numbers~~Using small numbers~~Find Y, positive slope 48~~21~~4 544186 hqew2E2l61 Unit CTA1_02, Section CTA1_02-4 BH1T29B 1 R7C2 2006-01-31 10:47:31.0 2006-01-31 10:47:35.0 2006-01-31 10:47:35.0 2006-01-31 10:47:35.0 4 4 1 0 0 1 Entering a given 113 544466 hqew2E2l61 Unit ES_01, Section ES_01-8 EG24 2 -5x = 4 2006-03-16 13:43:39.0 2006-03-16 13:44:06.0 2006-03-16 13:46:42.0 2006-03-16 13:46:42.0 183 183 0 1 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 4~~3 544738 hqew2E2l61 Unit CTA1_04, Section CTA1_04-4 BH1T47 2 R3C2 2006-03-30 13:39:54.0 2006-03-30 13:40:26.0 2006-03-30 13:41:09.0 2006-03-30 13:41:09.0 75 75 0 2 4 1 Using simple numbers~~Using small numbers~~Write expression, negative slope 174~~123~~11 544889 hqew2E2l61 Unit ES_02, Section ES_02-5 EG40 7 -5 = 4y+2 2006-04-06 13:18:54.0 2006-04-06 13:19:07.0 2006-04-06 13:19:35.0 2006-04-06 13:19:35.0 41 41 0 4 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 65 545150 l8bH01vT7z Unit CTA1_01, Section CTA1_01-3 DEC03B 1 R2C1 2005-12-01 14:21:36.0 2005-12-01 14:21:42.0 2005-12-01 14:21:56.0 2005-12-01 14:21:56.0 20 20 0 0 2 1 Identifying units 32 545403 l8bH01vT7z Unit CTA1_02, Section CTA1_02-3 L3NOV10B 1 R1C1 2006-01-24 14:13:44.0 2006-01-24 14:18:48.0 2006-01-24 14:18:48.0 2006-01-24 14:18:48.0 304 304 1 0 0 1 545795 l8bH01vT7z Unit ES_01, Section ES_01-9 EG23 3 8/10 = 10x/10 2006-02-14 13:58:55.0 2006-02-14 13:58:57.0 2006-02-14 13:58:57.0 2 2 0 1 0 0 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 13 546007 l8bH01vT7z Unit CTA1_04, Section CTA1_04-3 DEC01A 1 2+1.5K = 54.5 2006-02-15 15:15:24.0 2006-02-15 15:15:28.0 2006-02-15 15:15:28.0 2006-02-15 15:15:28.0 4 4 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 25 546253 l8bH01vT7z Unit ES_02, Section ES_02-5 EG40 11 -9/5 = -5y/-5 2006-02-22 14:45:46.0 2006-02-22 14:45:53.0 2006-02-22 14:45:53.0 2006-02-22 14:45:53.0 7 7 1 0 0 1 546525 l8bH01vT7z Unit CTA1_13, Section CTA1_13-1 PROP09 1 R1C2 2006-02-27 14:26:59.0 2006-02-27 14:27:12.0 2006-02-27 14:27:12.0 2006-02-27 14:27:12.0 13 13 1 0 0 1 546957 l8bH01vT7z Unit CTA1_06, Section CTA1_06-4 L6FB07 1 6.44S = 2175 2006-03-15 08:08:39.0 2006-03-15 08:08:44.0 2006-03-15 08:08:44.0 2006-03-15 08:08:44.0 5 5 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 85~~139 547426 l8bH01vT7z Unit ES_03, Section ES_03-7 LIT11 1 -m*-1 = (s-2)*-1 2006-03-29 15:10:10.0 2006-03-29 15:10:16.0 2006-03-29 15:10:16.0 2006-03-29 15:10:16.0 6 6 1 0 0 1 547626 l8bH01vT7z Unit CTA1_08, Section CTA1_08-2 REAL31 1 Formula 1 Coeff 1 2006-04-25 14:07:27.0 2006-04-25 14:08:03.0 2006-04-25 14:08:03.0 2006-04-25 14:08:03.0 36 36 1 0 0 1 Setting the slope 11 547765 UJCeB1hbie Unit CTA1_01, Section CTA1_01-3 BH1T30 1 R2C2 2005-09-06 14:26:08.0 2005-09-06 14:26:13.0 2005-09-06 14:26:13.0 2005-09-06 14:26:13.0 5 5 1 0 0 1 Identifying units 13 547950 uYf5028a75 Unit CTA1_01, Section CTA1_01-3 JAN11C 2 R3C2 2006-02-06 13:49:25.0 2006-02-06 13:49:40.0 2006-02-06 13:50:46.0 2006-02-06 13:50:46.0 81 81 0 3 5 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 60~~12~~42 548323 uYf5028a75 Unit CTA1_02, Section CTA1_02-4 L2FB14A 1 R2C1 2006-05-23 13:55:54.0 2006-05-23 13:55:59.0 2006-05-23 13:55:59.0 2006-05-23 13:55:59.0 5 5 1 0 0 1 Identifying units 60 548366 uYf5028a75 Unit ES_01, Section ES_01-1 EG1-FIXED 1 7*10 2006-05-23 14:24:11.0 2006-05-23 14:24:28.0 2006-05-23 14:24:28.0 17 17 0 1 0 0 548585 XL0eQIoG72 Unit CTA1_01, Section CTA1_01-3 L5FB03 1 R3C2 2005-09-13 14:03:43.0 2005-09-13 14:03:59.0 2005-09-13 14:03:59.0 2005-09-13 14:03:59.0 16 16 1 0 0 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 74~~46~~6 548833 XL0eQIoG72 Unit CTA1_02, Section CTA1_02-3 L3NOV10A 1 YLabel 2005-09-27 13:52:47.0 2005-09-27 13:53:19.0 2005-09-27 13:53:28.0 2005-09-27 13:53:28.0 41 41 0 1 0 1 Labelling the axes 17 549128 XL0eQIoG72 Unit ES_01, Section ES_01-7 EG21 3 8+x-8 = 9-8 2005-10-04 14:05:05.0 2005-10-04 14:05:09.0 2005-10-04 14:05:17.0 2005-10-04 14:05:20.0 15 15 0 1 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 7 549459 XL0eQIoG72 Unit CTA1_04, Section CTA1_04-4 L5FB04B 2 -305j = 28 2005-10-13 13:48:43.0 2005-10-13 13:48:57.0 2005-10-13 13:49:27.0 2005-10-13 13:49:27.0 44 44 0 1 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 54~~19 549796 XL0eQIoG72 Unit ES_02, Section ES_02-10 EG44 3 -8/y*y = -6y 2005-10-20 14:14:43.0 2005-10-20 14:15:09.0 2005-10-20 14:15:33.0 2005-10-20 14:16:42.0 119 119 0 3 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 32 549944 XL0eQIoG72 Unit CTA1_13, Section CTA1_13-1 PROP10 1 R5C1 2005-10-24 12:00:52.0 2005-10-24 12:00:56.0 2005-10-24 12:01:44.0 2005-10-24 12:01:44.0 17 17 0 2 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 158~~33~~77 550649 XL0eQIoG72 Unit CTA1_06, Section CTA1_06-4 BH1T51 2 -200C = -9500 2005-11-02 11:57:26.0 2005-11-02 11:57:34.0 2005-11-02 11:57:34.0 2005-11-02 11:57:34.0 8 8 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 165~~49 550897 XL0eQIoG72 Unit ES_03, Section ES_03-6 EG51 2 y2R1 2005-11-10 11:53:52.0 2005-11-10 11:54:12.0 2005-11-10 11:55:26.0 2005-11-10 11:55:52.0 71 71 0 2 0 2 551163 XL0eQIoG72 Unit CTA1_08, Section CTA1_08-3 DEC04 1 yMax 2005-11-17 14:04:47.0 2005-11-17 14:04:51.0 2005-11-17 14:04:51.0 2005-11-17 14:04:51.0 4 4 1 0 0 1 Changing axis bounds 183 551663 XL0eQIoG72 Unit ES_04, Section ES_04-16 LIT55 3 (y-3) = m*(x-7) 2005-11-30 12:05:04.0 2005-11-30 12:05:09.0 2005-11-30 12:05:09.0 2005-11-30 12:05:09.0 5 5 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] 311~~11 551979 XL0eQIoG72 Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 R4C1 2005-12-07 11:42:51.0 2005-12-07 11:42:54.0 2005-12-07 11:42:54.0 2005-12-07 11:42:54.0 3 3 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 288~~88~~166 552254 XL0eQIoG72 Unit ES_07, Section ES_07-4 LIT66A 1 c*h1R1 2005-12-19 11:41:51.0 2005-12-19 11:42:11.0 2005-12-19 11:42:11.0 2005-12-19 11:49:17.0 37 37 1 0 0 3 552763 XL0eQIoG72 Unit CTA1_12, Section CTA1_12-6 SYSFB03 1 R2C2 2006-01-04 12:37:48.0 2006-01-04 12:37:58.0 2006-01-04 12:37:58.0 2006-01-04 12:37:58.0 10 10 1 0 0 1 Identifying units 223 552968 XL0eQIoG72 Unit ES_05, Section ES_05-8 EG61 2 -4.99y-7.09 = 6.05 2006-01-05 14:10:19.0 2006-01-05 14:10:37.0 2006-01-05 14:10:37.0 2006-01-05 14:10:37.0 18 18 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 383~~61 553488 XL0eQIoG72 Unit CTA1_14, Section CTA1_14-4 IPCTURDUCKEN 2 ValidEquations 2006-01-25 11:38:06.0 2006-01-25 11:38:18.0 2006-01-25 11:38:18.0 2006-01-25 11:38:18.0 12 12 1 0 0 2 553807 XL0eQIoG72 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-2X-2YGE9 3 Formula 1 Coeff 0 2006-01-30 12:08:32.0 2006-01-30 12:08:37.0 2006-01-30 12:09:38.0 2006-01-30 12:09:38.0 22 22 0 4 1 1 Placing coordinate point 37 554151 XL0eQIoG72 Unit CTA1_15, Section CTA1_15-3 SYS10 2 ValidEquations 2006-02-01 14:52:10.0 2006-02-01 14:52:58.0 2006-02-01 14:52:58.0 2006-02-01 14:52:58.0 48 48 1 0 0 2 554260 XL0eQIoG72 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE5TRE 1 R5C2 2006-02-02 11:00:42.0 2006-02-02 11:00:51.0 2006-02-02 11:00:51.0 2006-02-02 11:00:51.0 9 9 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope~~Entering a computed linear value 452~~425~~72~~23 554349 XL0eQIoG72 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR05 1 c-factor-2 2006-02-02 11:27:23.0 2006-02-02 11:27:26.0 2006-02-02 11:27:29.0 2006-02-02 11:27:29.0 6 6 0 1 0 1 554381 XL0eQIoG72 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE8TRE 1 R3C2 2006-02-02 12:08:38.0 2006-02-02 12:08:46.0 2006-02-02 12:09:01.0 2006-02-02 12:09:01.0 23 23 0 4 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 472~~445~~163 554560 XL0eQIoG72 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR35 1 FinalAnswer 2006-02-07 14:00:33.0 2006-02-07 14:00:43.0 2006-02-07 14:00:43.0 2006-02-07 14:00:43.0 10 10 1 0 0 1 factor-sp 19 554862 XL0eQIoG72 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR18 1 den1-factor-node 2006-02-10 14:12:43.0 2006-02-10 14:13:06.0 2006-02-10 14:13:06.0 2006-02-10 14:13:06.0 23 23 1 0 0 1 qft-den-sp 14 555411 XL0eQIoG72 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD10TRE 1 R3C2 2006-03-07 13:57:05.0 2006-03-07 13:59:17.0 2006-03-07 14:00:14.0 2006-03-07 14:00:14.0 189 189 0 2 0 1 Using simple numbers~~Using small numbers~~Write expression, quadratic 528~~501~~30 555532 XL0eQIoG72 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01-FIXED 1 FinalAnswer 2006-03-08 14:01:09.0 2006-03-08 14:01:22.0 2006-03-08 14:01:22.0 2006-03-08 14:01:22.0 13 13 1 0 0 1 perform-mult-sp 49 555716 XL0eQIoG72 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 6 row3-N-constant factors 2006-03-20 13:46:26.0 2006-03-20 13:46:37.0 2006-03-20 13:46:51.0 2006-03-20 13:46:51.0 25 25 0 1 1 1 555975 XL0eQIoG72 Unit CTA1_20, Section CTA1_20-2 2PTFB19 2 R3C2 2006-04-11 13:42:12.0 2006-04-11 13:51:53.0 2006-04-11 13:52:21.0 2006-04-11 13:52:21.0 609 609 0 2 0 1 Using small numbers~~Using difficult numbers~~Write expression, two points 540~~258~~26 556288 XL0eQIoG72 Unit CTA1_21, Section CTA1_21-3 JAN07 1 R3C1 2006-04-26 10:39:50.0 2006-04-26 10:39:52.0 2006-04-26 10:39:52.0 2006-04-26 10:39:52.0 2 2 1 0 0 1 Define Variable 248 556476 XL0eQIoG72 Unit CTA1_22, Section CTA1_22-1 SYSFB15 1 R4C1 2006-05-04 14:18:13.0 2006-05-04 14:18:20.0 2006-05-04 14:18:20.0 2006-05-04 14:18:20.0 7 7 1 0 0 1 Entering a given 851 556678 XL0eQIoG72 Unit ES_06, Section ES_06-1 EG63A 5 267057.661+379.45y = 2898.26383812-645904.1512y 2006-05-12 14:17:18.0 2006-05-12 14:17:52.0 2006-05-12 14:19:02.0 2006-05-12 14:19:02.0 104 104 0 2 3 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 110 556863 XL0eQIoG72 Unit CTA1_24, Section CTA1_24-1 BH1T24 1 R6C1 2006-05-18 14:05:25.0 2006-05-18 14:05:29.0 2006-05-18 14:05:29.0 2006-05-18 14:05:29.0 4 4 1 0 0 1 Entering a given~~Convert unit, standard 906~~61 557013 XL0eQIoG72 Unit CTA1_25, Section CTA1_25-1 DEC07 1 R3C2 2006-05-26 14:04:54.0 2006-05-26 14:05:14.0 2006-05-26 14:05:14.0 2006-05-26 14:05:14.0 20 20 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 612~~209~~330 557178 XL0eQIoG72 Unit CTA1_26, Section CTA1_26-1 L5FB17 4 Intercept Field 1 2006-06-06 13:48:50.0 2006-06-06 13:49:26.0 2006-06-06 13:49:34.0 2006-06-06 13:49:34.0 44 44 0 2 0 1 Entering the y-intercept 34 557319 yuB6nxh3FX Unit CTA1_01, Section CTA1_01-3 BH1T33C 1 R4C1 2005-09-13 13:52:57.0 2005-09-13 13:53:43.0 2005-09-13 13:53:43.0 2005-09-13 13:53:43.0 46 46 1 0 0 1 Entering a given 30 557722 yuB6nxh3FX Unit CTA1_02, Section CTA1_02-4 L2FB14B 1 R4C1 2005-10-07 10:21:02.0 2005-10-07 10:21:05.0 2005-10-07 10:21:05.0 2005-10-07 10:21:05.0 3 3 1 0 0 1 Entering a given 111 557947 yuB6nxh3FX Unit ES_01, Section ES_01-6 EG21 4 -15 = 6+x-6 2005-10-11 14:20:36.0 2005-10-11 14:20:39.0 2005-10-11 14:20:39.0 2005-10-11 14:20:39.0 3 3 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 38 558211 yuB6nxh3FX Unit CTA1_04, Section CTA1_04-4 L5FB04 1 R4C1 2005-10-13 14:58:03.0 2005-10-13 14:58:04.0 2005-10-13 14:58:04.0 2005-10-13 14:58:04.0 1 1 1 0 0 1 Entering a given 161 558692 yuB6nxh3FX Unit ES_02, Section ES_02-8 EG41 3 FinalAnswer 2005-10-21 09:59:32.0 2005-10-21 09:59:36.0 2005-10-21 09:59:36.0 2005-10-21 10:04:22.0 25 25 1 2 0 2 simplify-fractions-sp~~combine-like-terms-sp~~perform-mult-sp~~perform-mult-r-sp 3~~40~~42~~3 558955 yuB6nxh3FX Unit CTA1_13, Section CTA1_13-1 PROP12 1 R4C1 2005-10-27 14:01:25.0 2005-10-27 14:01:30.0 2005-10-27 14:09:59.0 2005-10-27 14:09:59.0 382 382 0 9 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 140~~17~~54 559493 yuB6nxh3FX Unit CTA1_06, Section CTA1_06-3 JAN06 2 525+5P = 1500 2005-11-10 13:44:51.0 2005-11-10 13:44:56.0 2005-11-10 13:45:11.0 2005-11-10 13:45:11.0 20 20 0 2 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 121 560141 yuB6nxh3FX Unit ES_03, Section ES_03-6 EG52 1 constant terms1R1 2005-12-06 14:08:44.0 2005-12-06 14:08:47.0 2005-12-06 14:08:47.0 2005-12-06 14:10:40.0 14 14 1 0 0 2 560506 yuB6nxh3FX Unit CTA1_08, Section CTA1_08-3 BH1T07 1 Formula 1 Coeff 1 2005-12-09 14:07:48.0 2005-12-09 14:07:51.0 2005-12-09 14:07:51.0 2005-12-09 14:07:51.0 3 3 1 0 0 1 Setting the slope 19 561032 yuB6nxh3FX Unit ES_04, Section ES_04-12 EG58 1 -26y-21+21 = -9+21 2006-01-03 14:06:56.0 2006-01-03 14:07:03.0 2006-01-03 14:07:03.0 2006-01-03 14:07:35.0 39 39 1 1 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 84 561700 yuB6nxh3FX Unit CTA1_10, Section CTA1_10-5 DIST05_SP 1 A-200 = 800 2006-01-19 14:06:37.0 2006-01-19 14:06:41.0 2006-01-19 14:06:41.0 2006-01-19 14:06:41.0 4 4 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 331~~33 562094 yuB6nxh3FX Unit ES_07, Section ES_07-6 LIT82A 1 row2j 2006-02-10 10:02:02.0 2006-02-10 10:02:04.0 2006-02-10 10:02:07.0 2006-02-10 10:02:07.0 5 5 0 1 0 1 562539 yuB6nxh3FX Unit CTA1_12, Section CTA1_12-5 SYSFB25 1 yMax 2006-03-02 14:01:03.0 2006-03-02 14:01:15.0 2006-03-02 14:01:58.0 2006-03-02 14:01:58.0 47 47 0 5 1 1 Changing axis bounds 266 562980 yuB6nxh3FX Unit ES_05, Section ES_05-10 EG62A 2 -334.9x-27.59x = 27.59x-2414.96-27.59x 2006-03-16 14:01:18.0 2006-03-16 14:01:51.0 2006-03-16 14:02:26.0 2006-03-16 14:02:41.0 83 83 0 2 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 177 563529 yuB6nxh3FX Unit CTA1_14, Section CTA1_14-4 2PTFB16 2 R7C1 2006-05-05 13:54:31.0 2006-05-05 13:54:32.0 2006-05-05 13:54:32.0 2006-05-05 13:54:32.0 1 1 1 0 0 1 Entering a given 547 563790 02i5jCrfQK Unit CTA1_01, Section CTA1_01-3 DEC03C 1 R5C1 2005-09-01 13:29:20.0 2005-09-01 13:29:24.0 2005-09-01 13:29:24.0 2005-09-01 13:29:24.0 4 4 1 0 0 1 Entering a given 43 563989 02i5jCrfQK Unit CTA1_02, Section CTA1_02-4 BH1T29A 3 R6C1 2005-09-13 12:50:39.0 2005-09-13 12:50:43.0 2005-09-13 12:57:25.0 2005-09-13 12:57:25.0 365 365 0 2 4 1 Using simple numbers~~Using large numbers~~Find X, negative slope 113~~60~~3 564174 02i5jCrfQK Unit ES_01, Section ES_01-7 EG21 2 FinalAnswer 2005-09-15 09:58:15.0 2005-09-15 09:58:18.0 2005-09-15 09:58:18.0 2005-09-15 09:58:18.0 3 3 1 0 0 1 combine-like-terms-sp 11 564380 02i5jCrfQK Unit CTA1_04, Section CTA1_04-2 PERCENT05C 1 R3C1 2005-09-16 09:46:40.0 2005-09-16 09:46:42.0 2005-09-16 09:46:42.0 2005-09-16 09:46:42.0 2 2 1 0 0 1 Define Variable 40 564883 02i5jCrfQK Unit ES_02, Section ES_02-10 EG44 7 row1-D-y 2005-09-23 10:07:01.0 2005-09-23 10:07:03.0 2005-09-23 10:07:03.0 2005-09-23 10:07:19.0 4 4 1 0 0 2 565014 02i5jCrfQK Unit CTA1_13, Section CTA1_13-1 PROP01 1 2F = 3000 2005-09-27 10:16:40.0 2005-09-27 10:16:46.0 2005-09-27 10:16:46.0 2005-09-27 10:16:46.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 68~~113 565722 02i5jCrfQK Unit CTA1_06, Section CTA1_06-5 FBSMR1 2 15H = 3.75 2005-10-06 13:26:57.0 2005-10-06 13:27:04.0 2005-10-06 13:27:17.0 2005-10-06 13:27:17.0 20 20 0 2 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 110~~168 565940 02i5jCrfQK Unit ES_03, Section ES_03-6 EG51A 1 FinalAnswer 2005-10-11 12:58:31.0 2005-10-11 12:58:47.0 2005-10-11 12:58:47.0 2005-10-11 12:59:11.0 35 35 1 0 0 2 combine-like-terms-sp 33 566280 02i5jCrfQK Unit CTA1_08, Section CTA1_08-3 BH1T07 1 YUnit 2005-10-17 09:45:53.0 2005-10-17 09:45:56.0 2005-10-17 09:45:56.0 2005-10-17 09:45:56.0 3 3 1 0 0 1 566883 02i5jCrfQK Unit ES_04, Section ES_04-14 LIT32A 1 -k/t*t = c*t 2005-11-01 09:59:14.0 2005-11-01 09:59:25.0 2005-11-01 09:59:25.0 2005-11-01 09:59:33.0 19 19 1 0 0 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 106 567217 02i5jCrfQK Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 R3C1 2005-11-17 13:03:58.0 2005-11-17 13:04:00.0 2005-11-17 13:04:00.0 2005-11-17 13:04:00.0 2 2 1 0 0 1 Define Variable 118 567721 02i5jCrfQK Unit ES_07, Section ES_07-6 LIT82A 6 row1-N-w*m*j+w*j 2006-01-19 13:21:10.0 2006-01-19 13:21:15.0 2006-01-19 13:21:15.0 2006-01-19 13:21:15.0 5 5 1 0 0 1 568461 02i5jCrfQK Unit CTA1_12, Section CTA1_12-5 SYSFB25 2 R4C1 2006-02-03 09:34:17.0 2006-02-03 09:34:26.0 2006-02-03 09:34:26.0 2006-02-03 09:34:26.0 9 9 1 0 0 1 Entering a given 413 568700 02i5jCrfQK Unit ES_05, Section ES_05-7 EG61 2 -3.46-2.98y = -6.83+4.71y 2006-02-07 15:03:36.0 2006-02-07 15:03:45.0 2006-02-07 15:03:45.0 2006-02-07 15:03:45.0 9 9 1 0 0 1 569103 02i5jCrfQK Unit CTA1_14, Section CTA1_14-4 2PTFB10 1 51+7H = 72 2006-02-22 12:15:58.0 2006-02-22 12:16:03.0 2006-02-22 12:16:03.0 2006-02-22 12:16:03.0 5 5 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 416 569556 02i5jCrfQK Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLT3X+5 1 GraphButton1 2006-02-28 15:19:11.0 2006-02-28 15:19:12.0 2006-02-28 15:19:12.0 2006-02-28 15:19:12.0 1 1 1 0 0 1 569878 02i5jCrfQK Unit CTA1_15, Section CTA1_15-3 SYS07 1 R5C3 2006-03-14 13:24:28.0 2006-03-14 13:24:35.0 2006-03-14 13:24:35.0 2006-03-14 13:24:35.0 7 7 1 0 0 1 Entering a given 575 570162 02i5jCrfQK Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE3TRE 1 R5C1 2006-03-16 13:23:26.0 2006-03-16 13:23:30.0 2006-03-16 13:23:30.0 2006-03-16 13:23:30.0 4 4 1 0 0 1 Entering a given~~Entering a given linear value 618~~22 570320 02i5jCrfQK Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR33 1 2x^2+9x 2006-03-21 12:14:14.0 2006-03-21 12:14:18.0 2006-03-21 12:14:18.0 2006-03-21 12:14:18.0 4 4 1 0 0 1 570594 02i5jCrfQK Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR24 1 -9.54400375/2 = x 2006-03-22 12:19:55.0 2006-03-22 12:19:58.0 2006-03-22 12:19:58.0 2006-03-22 12:19:58.0 3 3 1 0 0 1 571178 02i5jCrfQK Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD11TRE 1 YUnit 2006-04-04 12:54:40.0 2006-04-04 12:54:43.0 2006-04-04 12:54:43.0 2006-04-04 12:54:43.0 3 3 1 0 0 1 571238 02i5jCrfQK Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01-FIXED 1 yR2 2006-04-04 13:02:03.0 2006-04-04 13:02:07.0 2006-04-04 13:02:07.0 2006-04-04 13:02:07.0 4 4 1 0 0 1 perform-mult-row2-sp 40 571596 02i5jCrfQK Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01 4 row2x 2006-04-18 12:57:11.0 2006-04-18 12:57:12.0 2006-04-18 12:57:31.0 2006-04-18 12:57:31.0 16 16 0 2 0 1 571954 02i5jCrfQK Unit CTA1_20, Section CTA1_20-2 1PTFB10 1 R3C1 2006-05-09 13:01:04.0 2006-05-09 13:01:07.0 2006-05-09 13:01:07.0 2006-05-09 13:01:07.0 3 3 1 0 0 1 Define Variable 217 572228 02i5jCrfQK Unit CTA1_21, Section CTA1_21-3 JAN08 1 Intercept Field 1 2006-05-17 13:05:20.0 2006-05-17 13:05:25.0 2006-05-17 13:05:25.0 2006-05-17 13:05:25.0 5 5 1 0 0 1 Entering the y-intercept 32 572341 02i5jCrfQK Unit CTA1_22, Section CTA1_22-1 SYSFB13 2 R1C2 2006-05-23 12:54:45.0 2006-05-23 12:54:55.0 2006-05-23 12:55:32.0 2006-05-23 12:55:32.0 47 47 0 0 2 1 572601 02ZjVTxC34 Unit CTA1_01, Section CTA1_01-3 L5FB03B 1 R1C1 2005-09-27 13:15:30.0 2005-09-27 13:15:43.0 2005-09-27 13:16:37.0 2005-09-27 13:16:37.0 67 67 0 1 0 1 572877 02ZjVTxC34 Unit CTA1_02, Section CTA1_02-3 BH1T39C 2 R8C1 2005-10-07 11:57:54.0 2005-10-07 11:57:58.0 2005-10-07 11:57:58.0 2005-10-07 11:57:58.0 4 4 1 0 0 1 Using simple numbers~~Using small numbers~~Find X, positive slope 138~~77~~8 573202 02ZjVTxC34 Unit ES_01, Section ES_01-7 EG22 3 x-7 = 6 2005-10-18 13:12:49.0 2005-10-18 13:12:52.0 2005-10-18 13:13:04.0 2005-10-18 13:13:04.0 15 15 0 0 3 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 21~~9 573574 02ZjVTxC34 Unit CTA1_04, Section CTA1_04-4 L5FB04 1 R7C2 2005-11-04 09:58:14.0 2005-11-04 09:58:21.0 2005-11-04 09:58:21.0 2005-11-04 09:58:21.0 7 7 1 0 0 1 Entering a given 193 573916 02ZjVTxC34 Unit ES_02, Section ES_02-6 EG40 18 -4y-1 = 0 2005-12-01 13:12:56.0 2005-12-01 13:13:17.0 2005-12-01 13:13:17.0 2005-12-01 13:13:17.0 21 21 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 71~~20 574234 02ZjVTxC34 Unit CTA1_13, Section CTA1_13-1 PROP06 1 R4C1 2005-12-20 13:33:54.0 2005-12-20 13:34:02.0 2005-12-20 13:35:58.0 2005-12-20 13:35:58.0 124 124 0 3 1 1 Using small numbers~~Find X, Simple~~Using difficult numbers 169~~34~~87 574354 02ZjVTxC34 Unit CTA1_06, Section CTA1_06-2 L5FB16 3 yScale 2006-01-26 13:23:52.0 2006-01-26 13:23:54.0 2006-01-26 13:23:54.0 2006-01-26 13:29:18.0 57 57 1 0 0 3 Changing axis intervals 36 574520 0KS4yy9G96 Unit CTA1_01, Section CTA1_01-3 L3NOV07C 1 R4C2 2005-09-01 13:02:00.0 2005-09-01 13:02:49.0 2005-09-01 13:03:00.0 2005-09-01 13:03:00.0 60 60 0 1 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 42~~24~~8 574852 0KS4yy9G96 Unit CTA1_02, Section CTA1_02-4 REAL28 1 R5C2 2005-09-13 13:21:14.0 2005-09-13 13:21:17.0 2005-09-13 13:21:17.0 2005-09-13 13:21:17.0 3 3 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, negative slope 123~~60~~23 575001 0KS4yy9G96 Unit ES_01, Section ES_01-7 EG21 1 -1 = 10+x 2005-09-20 13:02:45.0 2005-09-20 13:02:52.0 2005-09-20 13:02:52.0 2005-09-20 13:02:52.0 7 7 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 12~~7 575264 0KS4yy9G96 Unit CTA1_04, Section CTA1_04-4 BH1T47A 1 -1225-(12M) = 0 2005-09-27 13:28:03.0 2005-09-27 13:28:11.0 2005-09-27 13:28:11.0 2005-09-27 13:28:11.0 8 8 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 30 575522 0KS4yy9G96 Unit ES_02, Section ES_02-8 EG41 3 y/-3 = 3+6 2005-10-03 09:07:03.0 2005-10-03 09:07:07.0 2005-10-03 09:07:07.0 2005-10-03 09:07:07.0 4 4 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 45 575711 0KS4yy9G96 Unit CTA1_13, Section CTA1_13-1 PROP06 1 R1C1 2005-10-05 09:16:00.0 2005-10-05 09:17:04.0 2005-10-05 09:17:04.0 2005-10-05 09:17:04.0 64 64 1 0 0 1 576189 0KS4yy9G96 Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 yMin 2005-10-18 09:06:30.0 2005-10-18 09:06:38.0 2005-10-18 09:06:38.0 2005-10-18 09:06:38.0 8 8 1 0 0 2 Changing axis bounds 121 576328 0KS4yy9G96 Unit ES_03, Section ES_03-4 EG48A 1 -42/21 = 21x/21 2005-10-18 13:08:52.0 2005-10-18 13:08:55.0 2005-10-18 13:08:55.0 2005-10-18 13:08:59.0 7 7 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 24 576559 0KS4yy9G96 Unit CTA1_08, Section CTA1_08-3 REAL10 1 Formula 1 Coeff 1 2005-10-19 11:41:29.0 2005-10-19 11:41:32.0 2005-10-19 11:41:32.0 2005-10-19 11:41:32.0 3 3 1 0 0 1 Setting the slope 11 576800 0KS4yy9G96 Unit ES_04, Section ES_04-13 LIT35 1 -3/w = w*b/w 2005-10-20 12:59:00.0 2005-10-20 12:59:03.0 2005-10-20 12:59:03.0 2005-10-20 12:59:03.0 3 3 1 0 0 1 577138 0KS4yy9G96 Unit CTA1_10, Section CTA1_10-4 FOR08_SP 1 R3C1 2005-10-28 11:05:45.0 2005-10-28 11:05:47.0 2005-10-28 11:05:47.0 2005-10-28 11:05:47.0 2 2 1 0 0 1 Define Variable 101 577388 0KS4yy9G96 Unit ES_07, Section ES_07-4 LIT70A 1 INNERr1 2005-11-10 13:19:43.0 2005-11-10 13:19:50.0 2005-11-10 13:19:50.0 2005-11-10 13:19:50.0 7 7 1 0 0 1 577584 0KS4yy9G96 Unit CTA1_12, Section CTA1_12-3 SYSFB12 1 0.1X = 125+0.05X 2005-11-22 11:30:38.0 2005-11-22 11:30:44.0 2005-11-22 11:30:44.0 2005-11-22 11:30:44.0 6 6 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 14 577932 0KS4yy9G96 Unit CTA1_14, Section CTA1_14-3 2PTS08 1 R1C1 2005-12-07 11:34:48.0 2005-12-07 11:34:59.0 2005-12-07 11:34:59.0 2005-12-07 11:34:59.0 11 11 1 0 0 1 578376 0KS4yy9G96 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLT3X+5 1 GraphButton1 2006-02-15 15:08:05.0 2006-02-15 15:08:07.0 2006-02-15 15:08:07.0 2006-02-15 15:08:07.0 2 2 1 0 0 1 578611 0KS4yy9G96 Unit CTA1_15, Section CTA1_15-3 SYS06 1 R1C1 2006-02-28 13:03:50.0 2006-02-28 13:04:08.0 2006-02-28 13:04:08.0 2006-02-28 13:04:08.0 18 18 1 0 0 1 578812 0KS4yy9G96 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE7TRE 1 R3C1 2006-03-23 13:03:47.0 2006-03-23 13:04:50.0 2006-03-23 13:04:50.0 2006-03-23 13:04:50.0 63 63 1 0 0 1 Define Variable 160 578899 0KS4yy9G96 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR26 1 x^2+6x+5 2006-03-23 13:30:47.0 2006-03-23 13:30:53.0 2006-03-23 13:30:53.0 2006-03-23 13:30:53.0 6 6 1 0 0 1 579069 0KS4yy9G96 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR25 1 c-factor-node 2006-04-11 13:06:24.0 2006-04-11 13:06:25.0 2006-04-11 13:06:25.0 2006-04-11 13:06:25.0 1 1 1 0 0 1 579260 0KS4yy9G96 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD6TRE 1 R1C1 2006-06-05 12:51:19.0 2006-06-05 12:51:55.0 2006-06-05 12:51:55.0 2006-06-05 12:51:55.0 36 36 1 0 0 1 579397 1CI7f2R98c Unit CTA1_04, Section CTA1_04-3 BH1T41 1 R6C2 2006-01-24 13:01:28.0 2006-01-24 13:01:34.0 2006-01-24 13:01:34.0 2006-01-24 13:01:34.0 6 6 1 0 0 1 Entering a given 35 579745 1CI7f2R98c Unit ES_02, Section ES_02-10 EG44 3 3x = 2 2006-02-07 13:17:00.0 2006-02-07 13:17:10.0 2006-02-07 13:17:10.0 2006-02-07 13:17:10.0 10 10 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 42~~62 579802 1CI7f2R98c Unit CTA1_13, Section CTA1_13-1 PROP03 1 R6C1 2006-02-07 13:33:45.0 2006-02-07 13:33:54.0 2006-02-07 13:34:20.0 2006-02-07 13:34:20.0 15 15 0 1 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 48~~15~~44 580302 1CI7f2R98c Unit CTA1_06, Section CTA1_06-3 BH1T42 1 -100+4X = -50 2006-02-13 08:35:02.0 2006-02-13 08:35:08.0 2006-02-13 08:35:08.0 2006-02-13 08:35:08.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 84~~31 580798 1CI7f2R98c Unit ES_03, Section ES_03-7 LIT5 1 m/q*q = x*q 2006-02-16 13:04:24.0 2006-02-16 13:04:28.0 2006-02-16 13:04:28.0 2006-02-16 13:04:28.0 4 4 1 0 0 1 581004 1CI7f2R98c Unit CTA1_08, Section CTA1_08-2 FEB09 1 yMin 2006-02-17 08:23:17.0 2006-02-17 08:23:40.0 2006-02-17 08:23:56.0 35 35 0 3 0 0 Changing axis bounds 126 581536 1CI7f2R98c Unit ES_04, Section ES_04-15 LIT58 2 7+y*(b+n) = r+f 2006-03-23 12:49:39.0 2006-03-23 12:55:53.0 2006-03-23 12:57:47.0 2006-03-23 12:57:47.0 488 488 0 0 1 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 203 581897 1CI7f2R98c Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 R3C1 2006-04-25 13:20:23.0 2006-04-25 13:20:25.0 2006-04-25 13:20:25.0 2006-04-25 13:20:25.0 2 2 1 0 0 1 Define Variable 89 582210 1CI7f2R98c Unit ES_07, Section ES_07-4 LIT63A 1 FinalAnswer 2006-05-18 13:28:52.0 2006-05-18 13:29:02.0 2006-05-18 13:29:02.0 2006-05-18 13:29:02.0 10 10 1 0 0 1 factor-sp 11 582323 4k3099QrCN Unit CTA1_01, Section CTA1_01-1 LDEMO_WKST 1 R6C2 2005-08-30 13:19:29.0 2005-08-30 13:19:31.0 2005-08-30 13:19:31.0 2005-08-30 13:19:31.0 2 2 1 0 0 1 Find Y, Simple~~Using simple numbers~~Using small numbers 3~~3~~3 582555 D1VwdFc01t Unit CTA1_01, Section CTA1_01-4 L1FB12 1 R4C1 2005-09-13 13:02:11.0 2005-09-13 13:02:28.0 2005-09-13 13:02:28.0 2005-09-13 13:02:28.0 17 17 1 0 0 1 Entering a given 53 582738 D1VwdFc01t Unit CTA1_02, Section CTA1_02-4 BH1T29 1 R1C1 2005-09-27 13:23:23.0 2005-09-27 13:25:30.0 2005-09-27 13:25:30.0 2005-09-27 13:25:30.0 127 127 1 0 0 1 582943 D1VwdFc01t Unit ES_01, Section ES_01-5 EG15A 1 x = 5*40-43*40 2005-10-20 13:00:09.0 2005-10-20 13:00:22.0 2005-10-20 13:00:22.0 2005-10-20 13:00:22.0 13 13 1 0 0 1 583165 D1VwdFc01t Unit CTA1_04, Section CTA1_04-3 PERCENT14C 1 R6C2 2005-12-06 15:08:43.0 2005-12-06 15:09:22.0 2005-12-06 15:09:22.0 2005-12-06 15:09:22.0 39 39 1 0 0 1 Entering a given 145 583409 D1VwdFc01t Unit ES_02, Section ES_02-8 EG41 4 FinalAnswer 2006-01-18 15:21:59.0 2006-01-18 15:22:04.0 2006-01-18 15:22:04.0 2006-01-18 15:22:04.0 5 5 1 0 0 1 combine-like-terms-sp 36 583613 D1VwdFc01t Unit CTA1_13, Section CTA1_13-1 PROP13 1 6/9*W = 210 2006-02-23 13:26:50.0 2006-02-23 13:26:57.0 2006-02-23 13:26:57.0 2006-02-23 13:26:57.0 7 7 1 0 0 1 583750 D1VwdFc01t Unit CTA1_06, Section CTA1_06-2 FEB05 1 R2C1 2006-04-04 15:03:14.0 2006-04-04 15:03:32.0 2006-04-04 15:03:32.0 2006-04-04 15:03:32.0 18 18 1 0 0 1 Identifying units 92 584021 FrPh305pw8 Unit CTA1_01, Section CTA1_01-3 DEC03C 1 R3C1 2005-09-16 14:16:08.0 2005-09-16 14:16:11.0 2005-09-16 14:16:11.0 2005-09-16 14:16:11.0 3 3 1 0 0 1 Define Variable 23 584299 FrPh305pw8 Unit CTA1_02, Section CTA1_02-3 L3NOV10B 1 R7C1 2005-09-23 14:26:00.0 2005-09-23 14:26:59.0 2005-09-23 14:26:59.0 2005-09-23 14:26:59.0 59 59 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 159~~75~~8 584678 FrPh305pw8 Unit ES_01, Section ES_01-10 EG27 3 -3/-1 = -y/-1 2005-09-29 13:25:08.0 2005-09-29 13:25:14.0 2005-09-29 13:25:14.0 2005-09-29 13:25:14.0 6 6 1 0 0 1 584874 FrPh305pw8 Unit CTA1_04, Section CTA1_04-3 BH1T41C 1 R2C2 2005-10-05 13:47:00.0 2005-10-05 13:47:04.0 2005-10-05 13:47:04.0 2005-10-05 13:47:04.0 4 4 1 0 0 1 Identifying units 85 585331 FrPh305pw8 Unit ES_02, Section ES_02-10 EG44 1 -2/6 = x 2005-11-16 14:19:59.0 2005-11-16 14:20:07.0 2005-11-16 14:20:07.0 2005-11-16 14:20:07.0 8 8 1 0 0 1 585351 FrPh305pw8 Unit CTA1_13, Section CTA1_13-1 PROP04 2 R6C2 2006-02-14 10:15:39.0 2006-02-14 10:16:15.0 2006-02-14 10:17:17.0 2006-02-14 10:17:17.0 98 98 0 1 0 1 Find Y, Simple~~Using small numbers~~Using difficult numbers 56~~151~~65 585468 ftgrG3jT2m Unit CTA1_01, Section CTA1_01-3 BH1T33A 1 R5C1 2006-02-07 09:51:41.0 2006-02-07 09:51:47.0 2006-02-07 09:51:47.0 2006-02-07 09:51:47.0 6 6 1 0 0 1 Entering a given 28 585750 ftgrG3jT2m Unit CTA1_02, Section CTA1_02-3 L3NOV10A 1 R6C1 2006-02-28 14:38:18.0 2006-02-28 14:38:23.0 2006-02-28 14:38:23.0 2006-02-28 14:38:23.0 5 5 1 0 0 1 Entering a given 87 586024 ftgrG3jT2m Unit ES_01, Section ES_01-10 EG27 3 -6/-1 = -x/-1 2006-03-01 15:04:35.0 2006-03-01 15:04:39.0 2006-03-01 15:04:44.0 2006-03-01 15:04:44.0 9 9 0 1 0 1 586209 ftgrG3jT2m Unit CTA1_04, Section CTA1_04-4 L5FB04B 1 R2C1 2006-03-09 12:55:16.0 2006-03-09 12:55:18.0 2006-03-09 12:55:18.0 2006-03-09 12:55:18.0 2 2 1 0 0 1 Identifying units 73 586414 ftgrG3jT2m Unit ES_02, Section ES_02-8 EG41 4 y/-3 = 5 2006-03-14 13:28:05.0 2006-03-14 13:28:18.0 2006-03-14 13:28:18.0 2006-03-14 13:28:18.0 13 13 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 54~~22 586537 ftgrG3jT2m Unit CTA1_13, Section CTA1_13-1 PROP06 1 R7C2 2006-03-16 13:24:21.0 2006-03-16 13:24:23.0 2006-03-16 13:24:23.0 2 2 0 1 0 0 Find Y, Simple~~Using small numbers~~Using difficult numbers 36~~130~~57 586981 ftgrG3jT2m Unit CTA1_06, Section CTA1_06-4 BH1T48 1 R1C2 2006-05-18 13:20:22.0 2006-05-18 13:20:50.0 2006-05-18 13:20:50.0 2006-05-18 13:20:50.0 28 28 1 0 0 1 587148 m64Rgy40OF Unit CTA1_01, Section CTA1_01-3 BH1T28B 2 R1C1 2005-09-13 13:13:09.0 2005-09-13 13:14:25.0 2005-09-13 13:14:25.0 2005-09-13 13:14:25.0 76 76 1 0 0 1 587558 m64Rgy40OF Unit CTA1_02, Section CTA1_02-4 REAL28 1 XLabel 2005-10-19 15:05:46.0 2005-10-19 15:05:51.0 2005-10-19 15:05:59.0 2005-10-19 15:05:59.0 13 13 0 1 0 1 Labelling the axes 27 587718 m64Rgy40OF Unit ES_01, Section ES_01-6 EG22 7 y = -2+8 2005-10-25 13:26:51.0 2005-10-25 13:26:56.0 2005-10-25 13:26:56.0 2005-10-25 13:26:56.0 5 5 1 0 0 1 [SkillRule: Select Combine Terms; CLT]~~[SkillRule: Consolidate vars, no coeff; CLT] 22~~41 587973 m64Rgy40OF Unit CTA1_04, Section CTA1_04-3 BH1T41C 1 R7C2 2005-11-15 13:02:50.0 2005-11-15 13:03:03.0 2005-11-15 13:03:03.0 2005-11-15 13:03:03.0 13 13 1 0 0 1 Entering a given 145 588331 m64Rgy40OF Unit ES_02, Section ES_02-7 EG41 8 8-(-6) = y/2-6-(-6) 2005-12-06 13:10:11.0 2005-12-06 13:10:23.0 2005-12-06 13:10:23.0 2005-12-06 13:10:23.0 12 12 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 68 588506 m64Rgy40OF Unit CTA1_13, Section CTA1_13-1 PROP03 1 R3C2 2005-12-08 11:10:39.0 2005-12-08 11:11:10.0 2005-12-08 11:11:24.0 2005-12-08 11:11:24.0 45 45 0 1 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 123~~43~~44 589157 m64Rgy40OF Unit CTA1_06, Section CTA1_06-4 L6FB19 2 R5C1 2006-01-12 10:59:49.0 2006-01-12 11:00:05.0 2006-01-12 11:00:05.0 2006-01-12 11:00:05.0 16 16 1 0 0 1 Entering a given 282 589653 m64Rgy40OF Unit ES_03, Section ES_03-8 LIT11A 1 2-n-2 = t-2 2006-01-26 13:22:04.0 2006-01-26 13:22:14.0 2006-01-26 13:22:14.0 2006-01-26 13:24:53.0 169 169 1 5 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 33 589945 m64Rgy40OF Unit CTA1_08, Section CTA1_08-3 BH1T07 1 R1C1 2006-02-07 13:32:44.0 2006-02-07 13:33:41.0 2006-02-07 13:33:41.0 2006-02-07 13:33:41.0 57 57 1 0 0 1 590345 m64Rgy40OF Unit ES_04, Section ES_04-13 LIT31 1 t/(-g) = -g*k/(-g) 2006-02-23 13:27:14.0 2006-02-23 13:27:24.0 2006-02-23 13:27:24.0 2006-02-23 13:27:24.0 10 10 1 0 0 1 590838 m64Rgy40OF Unit CTA1_10, Section CTA1_10-4 FOR08_SP 1 R5C2 2006-03-30 13:27:13.0 2006-03-30 13:27:18.0 2006-03-30 13:30:07.0 2006-03-30 13:30:07.0 67 67 0 2 0 1 Entering a given 370 591155 m64Rgy40OF Unit ES_07, Section ES_07-4 LIT69A 1 INNERz2 2006-04-20 13:33:37.0 2006-04-20 13:33:42.0 2006-04-20 13:33:42.0 2006-04-20 13:33:42.0 5 5 1 0 0 1 591661 m64Rgy40OF Unit CTA1_12, Section CTA1_12-5 SYSFB24 3 XLabel 2006-05-15 08:45:18.0 2006-05-15 08:45:27.0 2006-05-15 08:45:31.0 2006-05-15 08:45:31.0 13 13 0 1 0 1 Labelling the axes 151 592126 m64Rgy40OF Unit ES_05, Section ES_05-10 EG62 1 FinalAnswer 2006-05-23 13:23:14.0 2006-05-23 13:23:27.0 2006-05-23 13:23:27.0 2006-05-23 13:23:27.0 13 13 1 0 0 1 combine-like-terms-sp 75 592458 m64Rgy40OF Unit CTA1_14, Section CTA1_14-3 2PTFB12 1 R5C1 2006-06-05 13:17:59.0 2006-06-05 13:18:07.0 2006-06-05 13:20:18.0 2006-06-05 13:20:18.0 12 12 0 1 0 1 Using simple numbers~~Using small numbers~~Find X, positive slope 350~~327~~124 592826 nxe3l4KD0z Unit ES_01, Section ES_01-7 EG22 5 -7+y = 3 2005-12-08 13:30:06.0 2005-12-08 13:31:28.0 2005-12-08 13:31:28.0 2005-12-08 13:31:28.0 82 82 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 23~~11 593152 nxe3l4KD0z Unit CTA1_04, Section CTA1_04-3 L2FB15A 1 ValidEquations 2006-02-09 13:23:15.0 2006-02-09 13:25:14.0 2006-02-09 13:25:37.0 2006-02-09 13:27:34.0 218 218 0 1 0 3 593460 nxe3l4KD0z Unit ES_02, Section ES_02-8 EG41 4 FinalAnswer 2006-03-09 13:57:28.0 2006-03-09 13:57:29.0 2006-03-09 13:57:29.0 2006-03-09 13:57:29.0 1 1 1 0 0 1 combine-like-terms-sp 17 593619 nxe3l4KD0z Unit CTA1_13, Section CTA1_13-1 PROP06 2 R1C1 2006-03-14 14:48:16.0 2006-03-14 14:48:51.0 2006-03-14 14:48:51.0 2006-03-14 14:48:51.0 35 35 1 0 0 1 594213 nxe3l4KD0z Unit CTA1_06, Section CTA1_06-4 BH1T52 2 R3C1 2006-05-25 12:53:01.0 2006-05-25 12:53:05.0 2006-05-25 12:53:05.0 2006-05-25 12:53:05.0 4 4 1 0 0 1 Define Variable 54 594409 rPj8YeG1I5 Unit CTA1_01, Section CTA1_01-4 JAN13C 1 R2C2 2006-02-09 13:25:12.0 2006-02-09 13:26:27.0 2006-02-09 13:26:27.0 2006-02-09 13:26:27.0 75 75 1 0 0 1 Identifying units 28 594576 rPj8YeG1I5 Unit CTA1_02, Section CTA1_02-3 L3NOV12B 1 R3C1 2006-03-02 13:15:31.0 2006-03-02 13:15:37.0 2006-03-02 13:15:37.0 2006-03-02 13:15:37.0 6 6 1 0 0 1 Define Variable 25 594853 rPj8YeG1I5 Unit ES_01, Section ES_01-8 EG25 2 5*4 = x/4*4 2006-03-30 13:08:30.0 2006-03-30 13:08:49.0 2006-03-30 13:08:49.0 2006-03-30 13:08:49.0 19 19 1 0 0 1 595043 rPj8YeG1I5 Unit CTA1_04, Section CTA1_04-3 BH1T41C 1 R7C2 2006-04-25 13:20:52.0 2006-04-25 13:21:07.0 2006-04-25 13:21:07.0 2006-04-25 13:21:07.0 15 15 1 0 0 1 Entering a given 137 595363 rPj8YeG1I5 Unit ES_02, Section ES_02-10 EG44 4 8/y*y = -6y 2006-05-18 13:30:26.0 2006-05-18 13:30:41.0 2006-05-18 13:30:41.0 2006-05-18 13:30:46.0 20 20 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 19 595491 rPj8YeG1I5 Unit CTA1_13, Section CTA1_13-1 PROP13 1 6/9*M = 210 2006-05-25 13:06:42.0 2006-05-25 13:06:52.0 2006-05-25 13:07:38.0 2006-05-25 13:07:38.0 56 56 0 3 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 94 595545 rPj8YeG1I5 Unit CTA1_06, Section CTA1_06-2 FEB11 1 R3C2 2006-06-05 12:58:51.0 2006-06-05 12:59:10.0 2006-06-05 13:00:00.0 2006-06-05 13:00:00.0 69 69 0 1 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 134~~138~~50 595815 s19Mo891H5 Unit CTA1_01, Section CTA1_01-3 DEC03 1 R2C1 2005-09-22 13:01:32.0 2005-09-22 13:01:36.0 2005-09-22 13:01:36.0 2005-09-22 13:01:36.0 4 4 1 0 0 1 Identifying units 31 596174 s19Mo891H5 Unit CTA1_02, Section CTA1_02-4 REAL28 1 YUnit 2005-10-11 13:06:16.0 2005-10-11 13:06:19.0 2005-10-11 13:06:19.0 2005-10-11 13:06:19.0 3 3 1 0 0 1 596402 s19Mo891H5 Unit ES_01, Section ES_01-11 EG27 3 FinalAnswer 2005-10-18 13:19:50.0 2005-10-18 13:19:52.0 2005-10-18 13:19:59.0 2005-10-18 13:19:59.0 9 9 0 0 1 1 simplify-fractions-sp 4 596601 s19Mo891H5 Unit CTA1_04, Section CTA1_04-3 DEC01A 1 R2C1 2005-10-25 13:29:10.0 2005-10-25 13:29:19.0 2005-10-25 13:29:19.0 2005-10-25 13:29:19.0 9 9 1 0 0 1 Identifying units 80 596946 s19Mo891H5 Unit ES_02, Section ES_02-8 EG41 3 -17*7 = y 2005-11-10 13:13:04.0 2005-11-10 13:13:18.0 2005-11-10 13:13:18.0 2005-11-10 13:13:18.0 14 14 1 0 0 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] 19 597069 s19Mo891H5 Unit CTA1_13, Section CTA1_13-1 PROP01 1 R5C1 2005-11-15 13:22:17.0 2005-11-15 13:22:25.0 2005-11-15 13:22:25.0 2005-11-15 13:22:25.0 8 8 1 0 0 1 Entering a given 228 597698 s19Mo891H5 Unit CTA1_06, Section CTA1_06-4 L6FB18 1 R6C2 2005-12-08 13:02:33.0 2005-12-08 13:02:39.0 2005-12-08 13:02:39.0 2005-12-08 13:02:39.0 6 6 1 0 0 1 Entering a given 337 598169 s19Mo891H5 Unit ES_03, Section ES_03-8 LIT5A 1 n/r*r = y*r 2006-01-11 14:59:51.0 2006-01-11 15:00:03.0 2006-01-11 15:00:03.0 2006-01-11 15:01:17.0 86 86 1 1 2 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 47 598414 s19Mo891H5 Unit CTA1_08, Section CTA1_08-3 L5FB02 1 Intercept Field 1 2006-01-26 12:22:00.0 2006-01-26 12:22:06.0 2006-01-26 12:22:06.0 2006-01-26 12:22:06.0 6 6 1 0 0 1 Entering the y-intercept 16 598976 s19Mo891H5 Unit ES_04, Section ES_04-16 LIT57A 1 j*n = b-c-j*3 2006-02-16 12:20:53.0 2006-02-16 12:20:59.0 2006-02-16 12:20:59.0 2006-02-16 12:20:59.0 6 6 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 297 599199 s19Mo891H5 Unit CTA1_10, Section CTA1_10-3 DISTFB06_SP 1 R3C1 2006-03-02 12:50:43.0 2006-03-02 12:50:45.0 2006-03-02 12:50:45.0 2006-03-02 12:50:45.0 2 2 1 0 0 1 Define Variable 131 599655 s19Mo891H5 Unit ES_07, Section ES_07-6 LIT82A 3 j*j*w*(m+1)/j = x*j 2006-03-16 13:10:22.0 2006-03-16 13:10:27.0 2006-03-16 13:10:35.0 2006-03-16 13:21:59.0 597 597 0 3 9 3 600182 s19Mo891H5 Unit CTA1_12, Section CTA1_12-6 SYS01 2 Intersection 1 X 2006-04-25 13:07:30.0 2006-04-25 13:07:42.0 2006-04-25 13:07:42.0 2006-04-25 13:07:42.0 12 12 1 0 0 1 Labelling point of intersection 33 600490 s19Mo891H5 Unit CTA1_14, Section CTA1_14-4 2PTFB10 3 R8C1 2006-05-26 13:13:58.0 2006-05-26 13:14:21.0 2006-05-26 13:14:21.0 23 23 0 1 0 0 Using simple numbers~~Using small numbers~~Find X, positive slope 381~~369~~129 600658 saNy7ix5ZY Unit CTA1_01, Section CTA1_01-3 BH1T19B 1 R1C2 2005-09-06 13:14:40.0 2005-09-06 13:15:07.0 2005-09-06 13:15:07.0 2005-09-06 13:15:07.0 27 27 1 0 0 1 600882 saNy7ix5ZY Unit CTA1_02, Section CTA1_02-3 L3NOV10C 4 xMax 2005-09-29 12:48:34.0 2005-09-29 12:49:45.0 2005-09-29 12:49:45.0 2005-09-29 12:49:45.0 71 71 1 0 0 2 Changing axis bounds 15 601145 saNy7ix5ZY Unit ES_01, Section ES_01-6 EG22 10 15 = y-10+10 2005-10-04 13:29:15.0 2005-10-04 13:29:18.0 2005-10-04 13:29:18.0 2005-10-04 13:29:18.0 3 3 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 39 601405 saNy7ix5ZY Unit CTA1_04, Section CTA1_04-3 PERCENT14B 1 R1C1 2005-10-13 13:08:08.0 2005-10-13 13:08:22.0 2005-10-13 13:08:22.0 2005-10-13 13:08:22.0 14 14 1 0 0 1 601692 saNy7ix5ZY Unit ES_02, Section ES_02-9 EG44 2 -1x = 10 2005-10-27 13:10:31.0 2005-10-27 13:10:40.0 2005-10-27 13:10:40.0 2005-10-27 13:10:40.0 9 9 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 82~~26~~11 601784 saNy7ix5ZY Unit CTA1_13, Section CTA1_13-1 PROP12 1 R4C2 2005-11-15 13:10:43.0 2005-11-15 13:10:49.0 2005-11-15 13:10:49.0 2005-11-15 13:10:49.0 6 6 1 0 0 1 Entering a given 189 602338 saNy7ix5ZY Unit CTA1_06, Section CTA1_06-4 JAN09 1 2000+25T = 4750 2005-12-08 13:00:51.0 2005-12-08 13:00:56.0 2005-12-08 13:00:56.0 2005-12-08 13:00:56.0 5 5 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 105 602696 saNy7ix5ZY Unit ES_03, Section ES_03-6 EG51 1 FinalAnswer 2006-01-03 13:22:26.0 2006-01-03 13:22:41.0 2006-01-03 13:25:42.0 2006-01-03 13:25:42.0 166 166 0 4 0 1 combine-like-terms-sp 41 602964 saNy7ix5ZY Unit CTA1_08, Section CTA1_08-3 NOV13 1 R3C2 2006-01-10 13:32:02.0 2006-01-10 13:32:26.0 2006-01-10 13:33:06.0 2006-01-10 13:33:06.0 64 64 0 1 0 1 Using simple numbers~~Using small numbers~~Write expression, negative slope 201~~209~~23 603416 saNy7ix5ZY Unit ES_04, Section ES_04-16 LIT60A 4 q*c*(v+r)/(q*c) = d*x/(q*c) 2006-02-02 12:49:13.0 2006-02-02 12:49:21.0 2006-02-02 12:49:21.0 2006-02-02 12:49:50.0 37 37 1 1 0 2 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] 8 603649 saNy7ix5ZY Unit CTA1_10, Section CTA1_10-4 FOR08_SP 2 R7C2 2006-02-23 12:59:58.0 2006-02-23 13:00:03.0 2006-02-23 13:00:03.0 2006-02-23 13:00:03.0 5 5 1 0 0 1 Entering a given 358 603825 saNy7ix5ZY Unit ES_07, Section ES_07-3 LIT63 1 m*s-g*q-b*h = y*m 2006-03-14 13:16:01.0 2006-03-14 13:16:08.0 2006-03-14 13:16:08.0 2006-03-14 13:16:08.0 7 7 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 6 604135 saNy7ix5ZY Unit CTA1_12, Section CTA1_12-5 SYSFB05 3 xMax 2006-04-04 13:00:39.0 2006-04-04 13:02:14.0 2006-04-04 13:02:14.0 2006-04-04 13:02:14.0 95 95 1 0 0 1 Changing axis bounds 141 604602 saNy7ix5ZY Unit CTA1_14, Section CTA1_14-4 2PTFB14 2 R7C2 2006-05-17 12:56:36.0 2006-05-17 12:56:59.0 2006-05-17 12:56:59.0 2006-05-17 12:56:59.0 23 23 1 0 0 1 Entering a given 498 604795 saNy7ix5ZY Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-2X-2YGE9 1 YIntercept1 2006-05-18 13:25:06.0 2006-05-18 13:25:17.0 2006-05-18 13:25:17.0 2006-05-18 13:25:17.0 11 11 1 0 0 1 Negative Constant, GLF~~Entering y-intercept, GLF 11~~6 604974 saNy7ix5ZY Unit CTA1_15, Section CTA1_15-2 SYSFB14 1 Intersection 1 X 2006-05-25 13:03:09.0 2006-05-25 13:03:31.0 2006-05-25 13:03:31.0 2006-05-25 13:03:31.0 22 22 1 0 0 1 Labelling point of intersection 29 605193 V2p98HHF6o Unit CTA1_01, Section CTA1_01-3 L5FB03B 1 R1C1 2006-03-14 13:18:54.0 2006-03-14 13:19:13.0 2006-03-14 13:19:13.0 2006-03-14 13:19:13.0 19 19 1 0 0 1 605501 V2p98HHF6o Unit CTA1_02, Section CTA1_02-4 L2FB14B 1 yScale 2006-03-28 13:05:38.0 2006-03-28 13:05:42.0 2006-03-28 13:05:42.0 2006-03-28 13:05:51.0 13 13 1 0 0 3 Changing axis intervals 19 605701 V2p98HHF6o Unit ES_01, Section ES_01-8 EG25 2 x = -5*6 2006-03-30 13:23:34.0 2006-03-30 13:23:41.0 2006-03-30 13:23:41.0 2006-03-30 13:23:41.0 7 7 1 0 0 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] 12 606033 V2p98HHF6o Unit CTA1_04, Section CTA1_04-4 L5FB04 1 -14-H = -40 2006-05-02 13:07:03.0 2006-05-02 13:07:12.0 2006-05-02 13:07:24.0 2006-05-02 13:07:24.0 21 21 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 48~~1 606288 V2p98HHF6o Unit ES_02, Section ES_02-8 EG41 1 -384 = x*8/8*8 2006-05-11 13:31:45.0 2006-05-11 13:31:52.0 2006-05-11 13:31:52.0 2006-05-11 13:31:52.0 7 7 1 0 0 1 606483 vpuUyzUJ0z Unit CTA1_01, Section CTA1_01-3 L3NOV07 1 R3C1 2005-09-15 12:55:45.0 2005-09-15 12:55:49.0 2005-09-15 12:55:49.0 2005-09-15 12:55:49.0 4 4 1 0 0 1 Define Variable 15 606777 vpuUyzUJ0z Unit CTA1_02, Section CTA1_02-4 L2FB14B 1 R4C2 2005-10-20 13:03:00.0 2005-10-20 13:03:16.0 2005-10-20 13:03:16.0 2005-10-20 13:03:16.0 16 16 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 133~~68~~19 606920 vpuUyzUJ0z Unit ES_01, Section ES_01-7 EG21 2 y = 1-8 2005-10-27 13:00:03.0 2005-10-27 13:00:07.0 2005-10-27 13:00:07.0 2005-10-27 13:00:07.0 4 4 1 0 0 1 [SkillRule: Select Combine Terms; CLT]~~[SkillRule: Consolidate vars, no coeff; CLT] 16~~25 607115 vpuUyzUJ0z Unit CTA1_04, Section CTA1_04-3 PERCENT14B 1 0.85I+10 = 180 2005-11-03 13:14:31.0 2005-11-03 13:14:42.0 2005-11-03 13:14:42.0 2005-11-03 13:14:42.0 11 11 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 34 607406 vpuUyzUJ0z Unit ES_02, Section ES_02-8 EG41 5 x/-2*-2 = -10*-2 2005-11-30 11:12:34.0 2005-11-30 11:12:36.0 2005-11-30 11:12:36.0 2005-11-30 11:12:46.0 12 12 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 15 607550 vpuUyzUJ0z Unit CTA1_13, Section CTA1_13-1 PROP10 1 R4C1 2005-12-20 13:02:58.0 2005-12-20 13:03:04.0 2005-12-20 13:03:04.0 2005-12-20 13:03:04.0 6 6 1 0 0 1 Entering a given 187 607849 vpuUyzUJ0z Unit CTA1_06, Section CTA1_06-3 FEB04 2 yScale 2006-01-24 12:59:44.0 2006-01-24 12:59:52.0 2006-01-24 12:59:52.0 2006-01-24 12:59:52.0 8 8 1 0 0 1 Changing axis intervals 31 608301 vpuUyzUJ0z Unit ES_03, Section ES_03-5 EG53 1 -6.7 = -8.6y 2006-03-23 09:46:19.0 2006-03-23 09:46:25.0 2006-03-23 09:46:25.0 2006-03-23 09:46:25.0 6 6 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 154~~39 608492 vpuUyzUJ0z Unit CTA1_08, Section CTA1_08-2 BH1T04 2 Formula 1 Coeff 1 2006-04-06 09:51:22.0 2006-04-06 09:51:37.0 2006-04-06 09:51:39.0 2006-04-06 09:51:39.0 17 17 0 1 0 1 Setting the slope 6 608704 Wi92e1D7bp Unit CTA1_01, Section CTA1_01-4 JAN04C 1 R1C1 2006-01-26 13:25:24.0 2006-01-26 13:25:41.0 2006-01-26 13:25:41.0 2006-01-26 13:25:41.0 17 17 1 0 0 1 608908 Wi92e1D7bp Unit CTA1_02, Section CTA1_02-3 L3NOV12B 1 R1C2 2006-02-14 13:19:24.0 2006-02-14 13:19:41.0 2006-02-14 13:19:41.0 2006-02-14 13:19:41.0 17 17 1 0 0 1 609125 Wi92e1D7bp Unit ES_01, Section ES_01-5 EG13A 1 y = 1176+45 2006-02-23 13:31:26.0 2006-02-23 13:31:31.0 2006-02-23 13:31:31.0 2006-02-23 13:31:31.0 5 5 1 0 0 1 [SkillRule: Select Combine Terms; CLT]~~[SkillRule: Consolidate vars, no coeff; CLT] 13~~13 609427 Wi92e1D7bp Unit CTA1_04, Section CTA1_04-3 L2FB15 1 ValidEquations 2006-03-01 12:19:10.0 2006-03-01 12:19:25.0 2006-03-01 12:19:25.0 2006-03-01 12:19:49.0 22 22 1 0 0 3 609608 Wi92e1D7bp Unit ES_02, Section ES_02-5 EG40 4 6x+9-9 = -2-9 2006-03-02 13:26:01.0 2006-03-02 13:26:11.0 2006-03-02 13:26:11.0 2006-03-02 13:26:11.0 10 10 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 34 609764 Wi92e1D7bp Unit CTA1_13, Section CTA1_13-1 PROP07 2 R7C1 2006-03-13 13:49:38.0 2006-03-13 13:49:44.0 2006-03-13 13:49:44.0 2006-03-13 13:49:44.0 6 6 1 0 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 124~~20~~51 610355 Wi92e1D7bp Unit CTA1_06, Section CTA1_06-4 BH1T52 2 XLabel 2006-03-23 13:40:01.0 2006-03-23 13:40:10.0 2006-03-23 13:40:10.0 2006-03-23 13:40:10.0 9 9 1 0 0 1 Labelling the axes 70 610739 Wi92e1D7bp Unit ES_03, Section ES_03-6 EG53A 1 39.2x+0.1-0.1 = -6.4-0.1 2006-03-30 13:29:47.0 2006-03-30 13:29:55.0 2006-03-30 13:30:03.0 2006-03-30 13:32:35.0 168 168 0 4 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 22 611085 Wi92e1D7bp Unit CTA1_08, Section CTA1_08-3 REAL10 1 YLabel 2006-04-18 15:08:26.0 2006-04-18 15:08:40.0 2006-04-18 15:08:40.0 2006-04-18 15:08:40.0 14 14 1 0 0 1 Labelling the axes 115 611602 Wi92e1D7bp Unit ES_04, Section ES_04-15 LIT59 1 (b+r*(x+y))/r = (v-s)/r 2006-05-17 13:27:55.0 2006-05-17 13:28:01.0 2006-05-17 13:28:44.0 49 49 0 5 0 0 611847 Wi92e1D7bp Unit CTA1_10, Section CTA1_10-3 DISTFB04_SP 1 R2C2 2006-06-05 13:31:51.0 2006-06-05 13:31:56.0 2006-06-05 13:31:56.0 2006-06-05 13:31:56.0 5 5 1 0 0 1 Identifying units 163 612024 wY56ZI2gyL Unit CTA1_01, Section CTA1_01-3 BH1T34 1 R4C2 2005-10-11 13:20:08.0 2005-10-11 13:21:26.0 2005-10-11 13:21:50.0 2005-10-11 13:21:50.0 102 102 0 1 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope 59~~22~~10 612284 wY56ZI2gyL Unit CTA1_02, Section CTA1_02-3 L3NOV10A 1 R4C2 2006-01-12 13:20:04.0 2006-01-12 13:27:18.0 2006-01-12 13:31:36.0 692 692 0 5 7 0 Using simple numbers~~Using large numbers~~Find Y, positive slope 123~~52~~36 612547 wY56ZI2gyL Unit ES_01, Section ES_01-8 EG23 1 x = 6/6 2006-03-21 12:28:58.0 2006-03-21 12:29:01.0 2006-03-21 12:29:01.0 2006-03-21 12:29:01.0 3 3 1 0 0 1 612731 wY56ZI2gyL Unit CTA1_04, Section CTA1_04-2 PERCENT05A 1 R7C2 2006-03-22 09:19:39.0 2006-03-22 09:19:48.0 2006-03-22 09:19:55.0 2006-03-22 09:19:55.0 16 16 0 1 0 1 Entering a given 156 612938 wY56ZI2gyL Unit ES_02, Section ES_02-5 EG40 2 7-4x = -7 2006-03-22 13:28:25.0 2006-03-22 13:28:31.0 2006-03-22 13:28:31.0 2006-03-22 13:28:31.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 30 613166 wY56ZI2gyL Unit CTA1_13, Section CTA1_13-1 PROP06 1 2D/3 = 7000 2006-03-23 12:27:43.0 2006-03-23 12:27:46.0 2006-03-23 12:27:46.0 2006-03-23 12:27:46.0 3 3 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 57~~84 613581 wY56ZI2gyL Unit CTA1_06, Section CTA1_06-4 BH1T48 1 xScale 2006-03-31 09:06:44.0 2006-03-31 09:06:47.0 2006-03-31 09:06:47.0 2006-03-31 09:06:47.0 3 3 1 0 0 1 Changing axis intervals 44 613877 wY56ZI2gyL Unit ES_03, Section ES_03-7 LIT2 1 b = (x-y)/-1 2006-04-10 08:01:50.0 2006-04-10 08:01:56.0 2006-04-10 08:01:56.0 2006-04-10 08:01:56.0 6 6 1 0 0 1 614123 wY56ZI2gyL Unit CTA1_08, Section CTA1_08-3 L5FB02 1 R3C2 2006-04-24 08:24:59.0 2006-04-24 08:25:54.0 2006-04-24 08:26:16.0 2006-04-24 08:26:16.0 77 77 0 0 5 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 221~~225~~86 614271 2IaH8665Ha Unit CTA1_01, Section CTA1_01-3 BH1T27 1 R2C2 2005-09-08 11:06:14.0 2005-09-08 11:06:21.0 2005-09-08 11:06:21.0 2005-09-08 11:06:21.0 7 7 1 0 0 1 Identifying units 19 614627 2IaH8665Ha Unit CTA1_02, Section CTA1_02-4 BH1T29C 1 R8C1 2005-10-13 10:48:31.0 2005-10-13 10:48:38.0 2005-10-13 10:48:38.0 2005-10-13 10:48:38.0 7 7 1 0 0 1 Entering a given 109 614823 2IaH8665Ha Unit ES_01, Section ES_01-5 EG15 1 (3+4)*4 = x 2005-10-18 11:05:40.0 2005-10-18 11:06:07.0 2005-10-18 11:06:07.0 2005-10-18 11:06:07.0 27 27 1 0 0 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 23 615237 2IaH8665Ha Unit CTA1_04, Section CTA1_04-4 BH1T47C 1 ValidEquations 2005-11-03 11:12:36.0 2005-11-03 11:13:25.0 2005-11-03 11:13:25.0 2005-11-03 11:14:02.0 55 55 1 0 0 3 615460 2IaH8665Ha Unit ES_02, Section ES_02-7 EG41 4 -7*-5 = y/-5*-5 2005-11-17 11:04:06.0 2005-11-17 11:04:12.0 2005-11-17 11:04:12.0 2005-11-17 11:04:12.0 6 6 1 0 0 1 615630 2IaH8665Ha Unit CTA1_13, Section CTA1_13-1 PROP01 1 R7C2 2005-12-01 10:43:42.0 2005-12-01 10:43:48.0 2005-12-01 10:43:48.0 2005-12-01 10:43:48.0 6 6 1 0 0 1 Entering a given 222 616219 2IaH8665Ha Unit CTA1_06, Section CTA1_06-4 BH1T48 3 -4050000D-2500000000 = 0 2006-01-12 10:33:16.0 2006-01-12 10:34:05.0 2006-01-12 10:34:29.0 2006-01-12 10:34:29.0 73 73 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 104~~28 616610 2IaH8665Ha Unit ES_03, Section ES_03-6 EG53A 1 x1R1 2006-02-07 10:54:20.0 2006-02-07 10:54:37.0 2006-02-07 10:54:37.0 2006-02-07 10:54:37.0 17 17 1 0 0 1 616990 2IaH8665Ha Unit CTA1_08, Section CTA1_08-3 REAL10 1 R3C1 2006-02-23 11:01:30.0 2006-02-23 11:01:36.0 2006-02-23 11:01:36.0 2006-02-23 11:01:36.0 6 6 1 0 0 1 Define Variable 118 617440 2IaH8665Ha Unit ES_04, Section ES_04-15 LIT59 1 b+r*y-b = v-s-r*x-b 2006-03-24 10:32:06.0 2006-03-24 10:32:09.0 2006-03-24 10:32:09.0 2006-03-24 10:32:09.0 3 3 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 125 617692 2IaH8665Ha Unit CTA1_10, Section CTA1_10-3 DISTFB06_SP 1 R1C2 2006-03-28 15:22:13.0 2006-03-28 15:22:31.0 2006-03-28 15:22:31.0 2006-03-28 15:22:31.0 18 18 1 0 0 1 618017 2IaH8665Ha Unit ES_07, Section ES_07-4 LIT66A 1 -x*z-c*h = -x*s+t*n 2006-04-25 10:57:07.0 2006-04-25 10:58:13.0 2006-04-25 10:58:39.0 2006-04-25 10:58:39.0 92 92 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 289 618381 2IaH8665Ha Unit CTA1_12, Section CTA1_12-5 SYSFB25 1 R7C2 2006-05-11 11:11:00.0 2006-05-11 11:11:16.0 2006-05-11 11:11:16.0 2006-05-11 11:11:16.0 16 16 1 0 0 1 Entering a given 463 618649 2IaH8665Ha Unit ES_05, Section ES_05-10 EG62 1 -1.73x = -10.75 2006-05-26 10:51:10.0 2006-05-26 10:52:04.0 2006-05-26 10:52:04.0 2006-05-26 10:52:04.0 54 54 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 447~~120 618770 2IaH8665Ha Unit CTA1_14, Section CTA1_14-2 1PTB09 1 200Y = 6800 2006-06-06 11:03:35.0 2006-06-06 11:04:24.0 2006-06-06 11:04:24.0 2006-06-06 11:04:24.0 49 49 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 202~~466 618989 4NQzySrw2C Unit CTA1_01, Section CTA1_01-3 BH1T34A 2 R1C1 2005-09-22 10:31:45.0 2005-09-22 10:32:09.0 2005-09-22 10:32:09.0 2005-09-22 10:32:09.0 24 24 1 0 0 1 619112 4NQzySrw2C Unit CTA1_02, Section CTA1_02-2 BH1T23A 1 XLabel 2005-10-04 10:59:00.0 2005-10-04 10:59:42.0 2005-10-04 11:00:02.0 2005-10-04 11:00:02.0 62 62 0 1 0 1 Labelling the axes 3 619272 5VZLSGPT10 Unit CTA1_01, Section CTA1_01-3 REAL20 2 R6C2 2005-09-08 11:02:53.0 2005-09-08 11:04:18.0 2005-09-08 11:04:18.0 2005-09-08 11:04:18.0 85 85 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 48~~24~~7 619534 5VZLSGPT10 Unit CTA1_02, Section CTA1_02-4 BH1T29C 1 R3C2 2005-09-27 10:55:32.0 2005-09-27 10:55:48.0 2005-09-27 10:55:48.0 2005-09-27 10:55:48.0 16 16 1 0 0 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 119~~48~~6 619713 5VZLSGPT10 Unit ES_01, Section ES_01-6 EG22 3 5 = x-8 2005-10-06 10:43:09.0 2005-10-06 10:43:17.0 2005-10-06 10:43:17.0 2005-10-06 10:43:17.0 8 8 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 6~~3 619919 5VZLSGPT10 Unit CTA1_04, Section CTA1_04-2 PERCENT04 1 R7C2 2005-10-18 14:56:00.0 2005-10-18 14:56:11.0 2005-10-18 14:56:31.0 2005-10-18 14:56:31.0 31 31 0 2 0 1 Entering a given 142 620258 5VZLSGPT10 Unit ES_02, Section ES_02-9 EG44 1 3/-2 = -2y/-2 2005-10-26 14:48:36.0 2005-10-26 14:48:51.0 2005-10-26 14:48:51.0 2005-10-26 14:48:51.0 15 15 1 0 0 1 620412 5VZLSGPT10 Unit CTA1_13, Section CTA1_13-1 PROP10 1 R4C1 2005-11-01 10:47:13.0 2005-11-01 10:47:48.0 2005-11-01 10:47:48.0 2005-11-01 10:47:48.0 35 35 1 0 0 1 Entering a given 214 621035 5VZLSGPT10 Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 R1C2 2005-12-20 10:34:07.0 2005-12-20 10:34:44.0 2005-12-20 10:34:44.0 2005-12-20 10:34:44.0 37 37 1 0 0 1 621302 5VZLSGPT10 Unit ES_03, Section ES_03-7 LIT2 1 y-b-y = x-y 2006-01-10 11:04:04.0 2006-01-10 11:04:23.0 2006-01-10 11:04:23.0 2006-01-10 11:04:23.0 19 19 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 54 621583 5VZLSGPT10 Unit CTA1_08, Section CTA1_08-3 L5FB02 2 Formula 1 Coeff 1 2006-02-28 11:01:15.0 2006-02-28 11:01:21.0 2006-02-28 11:01:21.0 2006-02-28 11:01:21.0 6 6 1 0 0 1 Setting the slope 16 621948 5VZLSGPT10 Unit ES_04, Section ES_04-15 LIT58 1 7+y*b+y*n = r+f 2006-03-16 10:49:46.0 2006-03-16 10:50:05.0 2006-03-16 10:50:05.0 2006-03-16 10:50:05.0 19 19 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 191 622142 5VZLSGPT10 Unit CTA1_10, Section CTA1_10-3 DISTFB01_SP 2 R6C2 2006-04-06 10:29:42.0 2006-04-06 10:31:46.0 2006-04-06 10:31:46.0 2006-04-06 10:31:46.0 124 124 1 0 0 1 Entering a given 370 622316 5VZLSGPT10 Unit ES_07, Section ES_07-4 LIT70A 1 INNERu1 2006-04-27 10:36:30.0 2006-04-27 10:36:36.0 2006-04-27 10:36:36.0 2006-04-27 10:36:36.0 6 6 1 0 0 1 622608 5VZLSGPT10 Unit CTA1_12, Section CTA1_12-4 SYSFB22 1 R6C1 2006-05-18 10:56:23.0 2006-05-18 10:56:28.0 2006-05-18 10:56:28.0 2006-05-18 10:56:28.0 5 5 1 0 0 1 Using simple numbers~~Using small numbers~~Find X, positive slope 255~~285~~96 622830 5VZLSGPT10 Unit CTA1_14, Section CTA1_14-2 IPCBABY 1 R3C2 2006-06-06 10:58:12.0 2006-06-06 11:05:59.0 2006-06-06 11:06:22.0 2006-06-06 11:06:22.0 490 490 0 1 0 1 Using small numbers~~Using difficult numbers~~Write expression, initial and change 301~~166~~3 622934 8gH5u019ZH Unit CTA1_01, Section CTA1_01-3 BH1T27A 1 R5C1 2005-09-29 10:39:41.0 2005-09-29 10:40:09.0 2005-09-29 10:40:09.0 2005-09-29 10:40:09.0 28 28 1 0 0 1 Entering a given 24 623217 8gH5u019ZH Unit CTA1_02, Section CTA1_02-3 L3NOV12 1 R3C1 2005-10-18 11:01:27.0 2005-10-18 11:01:51.0 2005-10-18 11:01:51.0 2005-10-18 11:01:51.0 24 24 1 0 0 1 Define Variable 27 623433 8gH5u019ZH Unit ES_01, Section ES_01-7 EG22 2 x-1+1 = -4+1 2005-10-27 10:53:15.0 2005-10-27 10:53:21.0 2005-10-27 10:53:21.0 2005-10-27 10:53:28.0 13 13 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 3 623679 8gH5u019ZH Unit CTA1_04, Section CTA1_04-4 BH1T47C 1 R6C2 2005-11-15 11:08:10.0 2005-11-15 11:08:27.0 2005-11-15 11:08:56.0 2005-11-15 11:08:56.0 46 46 0 1 0 1 Entering a given 145 623941 8gH5u019ZH Unit ES_02, Section ES_02-9 EG44 2 -1 = -7/y 2005-11-29 11:03:03.0 2005-11-29 11:03:13.0 2005-11-29 11:03:13.0 2005-11-29 11:03:13.0 10 10 1 0 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 2 624074 8gH5u019ZH Unit CTA1_13, Section CTA1_13-1 PROP02 1 R1C2 2005-12-01 11:10:04.0 2005-12-01 11:10:22.0 2005-12-01 11:10:22.0 2005-12-01 11:10:22.0 18 18 1 0 0 1 624512 8gH5u019ZH Unit CTA1_06, Section CTA1_06-3 FOR05 1 R1C2 2006-01-05 11:09:26.0 2006-01-05 11:09:58.0 2006-01-05 11:11:11.0 2006-01-05 11:11:11.0 105 105 0 2 0 1 625113 8gH5u019ZH Unit ES_03, Section ES_03-7 LIT11 1 2-m+m = s+m 2006-02-09 10:39:51.0 2006-02-09 10:39:54.0 2006-02-09 10:39:54.0 2006-02-09 10:39:54.0 3 3 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 54 625435 8gH5u019ZH Unit CTA1_08, Section CTA1_08-3 REAL10 1 R2C2 2006-02-28 10:54:27.0 2006-02-28 10:54:44.0 2006-02-28 10:54:44.0 2006-02-28 10:54:44.0 17 17 1 0 0 1 Identifying units 136 625923 8gH5u019ZH Unit ES_04, Section ES_04-16 LIT57A 1 c1R1 2006-03-16 10:46:58.0 2006-03-16 10:46:59.0 2006-03-16 10:46:59.0 2006-03-16 10:48:51.0 3 3 1 0 0 2 626206 8gH5u019ZH Unit CTA1_10, Section CTA1_10-5 DIST05_SP 1 R4C2 2006-04-04 11:04:45.0 2006-04-04 11:05:00.0 2006-04-04 11:05:00.0 2006-04-04 11:05:00.0 15 15 1 0 0 1 Entering a given 362 626427 8gH5u019ZH Unit ES_07, Section ES_07-5 LIT77 1 2y+b = j 2006-04-11 10:59:04.0 2006-04-11 10:59:10.0 2006-04-11 10:59:10.0 2006-04-11 10:59:10.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 261 626724 8gH5u019ZH Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 YLabel 2006-04-20 11:04:28.0 2006-04-20 11:04:42.0 2006-04-20 11:04:42.0 2006-04-20 11:04:42.0 14 14 1 0 0 1 Labelling the axes 145 626913 8gH5u019ZH Unit ES_05, Section ES_05-8 EG61 3 x1R1 2006-04-27 10:38:51.0 2006-04-27 10:38:57.0 2006-04-27 10:38:57.0 2006-04-27 10:38:57.0 6 6 1 0 0 1 627386 8gH5u019ZH Unit CTA1_14, Section CTA1_14-4 IPCTURDUCKEN 1 -2X = -125 2006-05-17 11:12:48.0 2006-05-17 11:12:53.0 2006-05-17 11:12:53.0 2006-05-17 11:12:53.0 5 5 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 456~~122 627683 8gH5u019ZH Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGE4X-11 1 xMin 2006-06-06 10:47:19.0 2006-06-06 10:47:26.0 2006-06-06 10:47:26.0 2006-06-06 10:47:26.0 7 7 1 0 0 1 627861 8gH5u019ZH Unit CTA1_15, Section CTA1_15-2 SYSFB18 1 Intersection 1 X 2006-06-07 10:49:00.0 2006-06-07 10:49:19.0 2006-06-07 10:49:19.0 2006-06-07 10:49:19.0 19 19 1 0 0 1 Labelling point of intersection 25 628037 apCLF0uF21 Unit CTA1_01, Section CTA1_01-4 REAL32C 1 R4C1 2005-09-13 10:48:06.0 2005-09-13 10:48:16.0 2005-09-13 10:48:16.0 2005-09-13 10:48:16.0 10 10 1 0 0 1 Entering a given 36 628301 apCLF0uF21 Unit CTA1_02, Section CTA1_02-4 BH1T29A 1 R5C1 2005-09-27 11:04:51.0 2005-09-27 11:05:00.0 2005-09-27 11:05:00.0 2005-09-27 11:05:00.0 9 9 1 0 0 1 Entering a given 93 628534 apCLF0uF21 Unit ES_01, Section ES_01-11 EG27 3 -x/-1 = 1/-1 2005-10-11 11:09:50.0 2005-10-11 11:09:59.0 2005-10-11 11:09:59.0 2005-10-11 11:11:22.0 92 92 1 2 4 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] 3 628814 apCLF0uF21 Unit CTA1_04, Section CTA1_04-4 L5FB04A 1 R6C1 2005-10-25 11:12:20.0 2005-10-25 11:12:29.0 2005-10-25 11:12:29.0 2005-10-25 11:12:29.0 9 9 1 0 0 1 Using small numbers~~Find X, negative slope~~Using difficult numbers 120~~6~~47 628985 apCLF0uF21 Unit ES_02, Section ES_02-6 EG40 5 -2 = 4x+4 2005-11-01 10:56:13.0 2005-11-01 10:56:28.0 2005-11-01 10:56:28.0 2005-11-01 10:56:28.0 15 15 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 40 629211 apCLF0uF21 Unit CTA1_13, Section CTA1_13-1 PROP10 2 R3C2 2005-11-15 10:29:24.0 2005-11-15 10:30:35.0 2005-11-15 10:37:37.0 2005-11-15 10:37:37.0 493 493 0 4 1 1 Using small numbers~~Using difficult numbers~~Write expression, ratio 147~~71~~1 629563 apCLF0uF21 Unit CTA1_06, Section CTA1_06-4 L6FB07 1 yMin 2005-12-06 11:13:42.0 2005-12-06 11:13:57.0 2005-12-06 11:13:57.0 2005-12-06 11:15:28.0 61 61 1 2 0 2 Changing axis bounds 80 630132 apCLF0uF21 Unit ES_03, Section ES_03-8 LIT10A 1 constant termsR2 2006-02-07 10:44:18.0 2006-02-07 10:44:21.0 2006-02-07 10:44:21.0 2006-02-07 10:44:21.0 3 3 1 0 0 1 630296 apCLF0uF21 Unit CTA1_08, Section CTA1_08-3 DEC04 1 YLabel 2006-02-16 10:48:49.0 2006-02-16 10:48:53.0 2006-02-16 10:48:53.0 2006-02-16 10:48:53.0 4 4 1 0 0 1 Labelling the axes 96 630596 apCLF0uF21 Unit ES_04, Section ES_04-13 LIT22 1 7r+y-y = b-y 2006-03-14 10:43:44.0 2006-03-14 10:43:50.0 2006-03-14 10:43:50.0 2006-03-14 10:43:50.0 6 6 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 98 630872 apCLF0uF21 Unit CTA1_10, Section CTA1_10-3 DIST11_SP 1 ValidEquations 2006-04-06 11:02:57.0 2006-04-06 11:03:24.0 2006-04-06 11:03:24.0 2006-04-06 11:04:21.0 43 43 1 0 0 3 631080 apCLF0uF21 Unit ES_07, Section ES_07-4 LIT66A 1 FinalAnswer 2006-04-20 10:44:07.0 2006-04-20 10:44:17.0 2006-04-20 10:44:44.0 2006-04-20 10:44:44.0 37 37 0 2 0 1 factor-sp 7 631395 apCLF0uF21 Unit CTA1_12, Section CTA1_12-3 SYS02 1 Intersection 1 Y 2006-05-11 11:09:30.0 2006-05-11 11:09:41.0 2006-05-11 11:09:41.0 2006-05-11 11:09:41.0 11 11 1 0 0 1 Labelling point of intersection 14 631630 apCLF0uF21 Unit CTA1_14, Section CTA1_14-2 1PTFB11 1 -5M = 210 2006-06-06 10:48:13.0 2006-06-06 10:48:20.0 2006-06-06 10:48:20.0 2006-06-06 10:48:20.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 341~~98 631809 bt0ZuHaCGY Unit CTA1_01, Section CTA1_01-3 BH1T34B 1 R5C2 2005-09-06 10:53:55.0 2005-09-06 10:54:26.0 2005-09-06 10:54:26.0 2005-09-06 10:54:26.0 31 31 1 0 0 1 Entering a given 35 632121 bt0ZuHaCGY Unit CTA1_02, Section CTA1_02-3 L3NOV12B 1 R3C2 2005-09-15 11:07:01.0 2005-09-15 11:07:34.0 2005-09-15 11:07:34.0 2005-09-15 11:07:34.0 33 33 1 0 0 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 127~~28~~59 632392 bt0ZuHaCGY Unit ES_01, Section ES_01-11 EG27 2 -8 = -y 2005-09-27 10:46:39.0 2005-09-27 10:46:47.0 2005-09-27 10:46:47.0 2005-09-27 10:46:47.0 8 8 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 20~~13~~5 632529 bt0ZuHaCGY Unit CTA1_04, Section CTA1_04-3 DEC01C 1 R5C1 2005-09-29 11:08:33.0 2005-09-29 11:08:37.0 2005-09-29 11:08:37.0 2005-09-29 11:08:37.0 4 4 1 0 0 1 Entering a given 144 632844 bt0ZuHaCGY Unit ES_02, Section ES_02-9 EG44 2 -8x/-8 = -6/-8 2005-10-11 11:08:33.0 2005-10-11 11:08:41.0 2005-10-11 11:08:41.0 2005-10-11 11:08:41.0 8 8 1 0 0 1 632928 bt0ZuHaCGY Unit CTA1_13, Section CTA1_13-1 PROP03 1 R7C1 2005-10-13 10:46:10.0 2005-10-13 10:46:20.0 2005-10-13 10:46:20.0 2005-10-13 10:46:20.0 10 10 1 0 0 1 Entering a given 182 633548 bt0ZuHaCGY Unit CTA1_06, Section CTA1_06-4 BH1T52 1 R6C1 2005-11-01 10:38:35.0 2005-11-01 10:38:41.0 2005-11-01 10:41:48.0 2005-11-01 10:41:48.0 48 48 0 2 5 1 Using simple numbers~~Using small numbers~~Find X, negative slope 197~~175~~16 633871 bt0ZuHaCGY Unit ES_03, Section ES_03-6 EG53 1 5+7.8 = -4.4y-7.8+7.8 2005-11-10 11:05:17.0 2005-11-10 11:05:23.0 2005-11-10 11:05:23.0 2005-11-10 11:05:45.0 28 28 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 24 634255 bt0ZuHaCGY Unit CTA1_08, Section CTA1_08-3 BH1T07 1 R2C1 2005-11-22 11:04:28.0 2005-11-22 11:04:37.0 2005-11-22 11:04:37.0 2005-11-22 11:04:37.0 9 9 1 0 0 1 Identifying units 151 634621 bt0ZuHaCGY Unit ES_04, Section ES_04-15 LIT59 2 b+r*(x+y) = v-s 2005-12-08 10:32:12.0 2005-12-08 10:32:26.0 2005-12-08 10:32:26.0 2005-12-08 10:32:26.0 14 14 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 269 634994 bt0ZuHaCGY Unit CTA1_10, Section CTA1_10-5 DIST05_SP 1 ValidEquations 2005-12-20 11:04:40.0 2005-12-20 11:05:01.0 2005-12-20 11:05:01.0 2005-12-20 11:06:20.0 29 29 1 0 0 3 635377 bt0ZuHaCGY Unit ES_07, Section ES_07-4 LIT67A 2 b*c-d*w+w*g = f*h-w*g+w*g 2006-02-02 10:36:48.0 2006-02-02 10:37:00.0 2006-02-02 10:37:00.0 2006-02-02 10:37:29.0 41 41 1 0 0 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]]~~[SkillRule: Consolidate vars with coeff; CLT] 103~~146 635840 bt0ZuHaCGY Unit CTA1_12, Section CTA1_12-4 SYSFB22 1 R6C1 2006-02-28 10:37:58.0 2006-02-28 10:38:02.0 2006-02-28 10:38:02.0 2006-02-28 10:38:02.0 4 4 1 0 0 1 Using simple numbers~~Using small numbers~~Find X, positive slope 273~~261~~104 636370 bt0ZuHaCGY Unit CTA1_14, Section CTA1_14-4 IPCEVEREST 2 R5C1 2006-03-16 10:28:57.0 2006-03-16 10:29:03.0 2006-03-16 10:29:03.0 2006-03-16 10:29:03.0 6 6 1 0 0 1 Entering a given 512 636693 bt0ZuHaCGY Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT-4X-10 1 GraphChoice1 2006-03-30 10:46:00.0 2006-03-30 10:46:03.0 2006-03-30 10:46:03.0 2006-03-30 10:46:03.0 3 3 1 0 0 1 637004 bt0ZuHaCGY Unit CTA1_15, Section CTA1_15-3 SYS07 1 3000+40S = 4000 2006-04-06 11:08:14.0 2006-04-06 11:08:22.0 2006-04-06 11:08:22.0 2006-04-06 11:08:22.0 8 8 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 436 637256 bt0ZuHaCGY Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE3TRE 1 XLabel 2006-04-20 10:42:34.0 2006-04-20 10:42:45.0 2006-04-20 10:42:45.0 2006-04-20 10:42:45.0 11 11 1 0 0 1 Labelling the axes 193 637412 bt0ZuHaCGY Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR39 1 INNERx1 2006-04-25 11:07:38.0 2006-04-25 11:07:45.0 2006-04-25 11:07:45.0 2006-04-25 11:07:45.0 7 7 1 0 0 1 637777 bt0ZuHaCGY Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR12 1 -4/16 = x 2006-05-04 10:34:50.0 2006-05-04 10:34:54.0 2006-05-04 10:34:54.0 4 4 0 1 0 0 638213 bt0ZuHaCGY Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD7TRE 1 R10C2 2006-05-18 10:58:48.0 2006-05-18 11:00:03.0 2006-05-18 11:00:03.0 2006-05-18 11:00:03.0 75 75 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, any form~~Entering a computed quadratic value 445~~395~~25~~24 638499 bt0ZuHaCGY Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 constant factorsR2 2006-06-06 11:04:31.0 2006-06-06 11:04:34.0 2006-06-06 11:04:34.0 2006-06-06 11:04:34.0 3 3 1 0 0 1 perform-mult-row2-sp 22 638567 bt0ZuHaCGY Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 3 (4(x^6)(y^2))/((x^4)(y^5)) 2006-06-07 10:57:14.0 2006-06-07 10:57:19.0 2006-06-07 10:57:19.0 2006-06-07 10:57:19.0 5 5 1 0 0 1 638606 bt0ZuHaCGY Unit CTA1_20, Section CTA1_20-1 IPCSWIMMING 1 ValidEquations 2006-06-07 11:12:38.0 2006-06-07 11:12:53.0 2006-06-07 11:12:53.0 2006-06-07 11:12:53.0 15 15 1 0 0 2 638760 CZDz8OSRfI Unit CTA1_01, Section CTA1_01-3 BH1T34C 1 R1C1 2005-09-08 11:04:26.0 2005-09-08 11:04:43.0 2005-09-08 11:04:43.0 2005-09-08 11:04:43.0 17 17 1 0 0 1 638992 CZDz8OSRfI Unit CTA1_02, Section CTA1_02-3 L3NOV10 1 R3C2 2005-09-22 11:12:30.0 2005-09-22 11:13:12.0 2005-09-22 11:13:12.0 2005-09-22 11:13:12.0 42 42 1 0 0 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 112~~24~~45 639193 CZDz8OSRfI Unit ES_01, Section ES_01-6 EG22 3 y = -2+9 2005-10-06 10:37:15.0 2005-10-06 10:37:19.0 2005-10-06 10:37:19.0 2005-10-06 10:37:19.0 4 4 1 0 0 1 [SkillRule: Select Combine Terms; CLT]~~[SkillRule: Consolidate vars, no coeff; CLT] 15~~22 639443 CZDz8OSRfI Unit CTA1_04, Section CTA1_04-3 PERCENT14B 1 0.85C = 170 2005-10-18 10:56:46.0 2005-10-18 10:57:00.0 2005-10-18 10:57:00.0 2005-10-18 10:57:00.0 14 14 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 29~~45 639778 CZDz8OSRfI Unit ES_02, Section ES_02-7 EG41 1 2+(x/-6)-2 = -2-2 2005-11-01 11:03:46.0 2005-11-01 11:03:56.0 2005-11-01 11:03:56.0 2005-11-01 11:03:56.0 10 10 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 55 640013 CZDz8OSRfI Unit CTA1_13, Section CTA1_13-1 PROP12 1 R3C2 2005-11-03 10:32:23.0 2005-11-03 10:32:52.0 2005-11-03 10:33:18.0 2005-11-03 10:33:18.0 55 55 0 1 4 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 121~~43~~51 640650 CZDz8OSRfI Unit CTA1_06, Section CTA1_06-4 JAN09 1 yMax 2005-12-08 10:58:37.0 2005-12-08 10:58:51.0 2005-12-08 10:58:51.0 2005-12-08 10:58:51.0 14 14 1 0 0 2 Changing axis bounds 93 641010 CZDz8OSRfI Unit ES_03, Section ES_03-7 LIT11 1 2-m = s 2006-01-03 11:06:46.0 2006-01-03 11:06:55.0 2006-01-03 11:06:55.0 2006-01-03 11:06:55.0 9 9 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 149 641225 CZDz8OSRfI Unit CTA1_08, Section CTA1_08-3 DEC04 1 XUnit 2006-01-31 11:12:15.0 2006-01-31 11:12:25.0 2006-01-31 11:12:25.0 2006-01-31 11:12:25.0 10 10 1 0 0 1 641591 CZDz8OSRfI Unit ES_04, Section ES_04-10 EG57 1 10 = (4x+5)/10 2006-02-23 10:32:35.0 2006-02-23 10:32:45.0 2006-02-23 10:32:45.0 2006-02-23 10:32:45.0 10 10 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 70~~279 642150 CZDz8OSRfI Unit CTA1_10, Section CTA1_10-6 DISTFB13_SP 1 R1C1 2006-03-24 10:50:55.0 2006-03-24 10:51:33.0 2006-03-24 10:51:33.0 2006-03-24 10:51:33.0 38 38 1 0 0 1 642281 CZDz8OSRfI Unit ES_07, Section ES_07-4 LIT65A 1 k*(-m-s)/(-m-s) = (n*t-h*q)/(-m-s) 2006-03-30 11:05:11.0 2006-03-30 11:05:33.0 2006-03-30 11:05:46.0 2006-03-30 11:06:15.0 64 64 0 1 0 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 116 642645 CZDz8OSRfI Unit CTA1_12, Section CTA1_12-5 SYSFB24 1 ValidEquations 2006-04-18 10:45:03.0 2006-04-18 10:46:02.0 2006-04-18 10:46:02.0 2006-04-18 10:47:16.0 70 70 1 0 0 4 643147 CZDz8OSRfI Unit CTA1_14, Section CTA1_14-4 IPCEVEREST 1 R2C2 2006-05-23 10:43:28.0 2006-05-23 10:43:37.0 2006-05-23 10:43:37.0 2006-05-23 10:43:37.0 9 9 1 0 0 1 Identifying units 253 643347 CZDz8OSRfI Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-2X-2YGE9 1 ShadeButton1 2006-06-06 10:49:48.0 2006-06-06 10:50:12.0 2006-06-06 10:50:17.0 2006-06-06 10:50:17.0 29 29 0 1 0 1 Shading greater than~~Including the line when shading~~Shading GLF equation with negative slope 9~~8~~4 643418 CZDz8OSRfI Unit CTA1_15, Section CTA1_15-1 LDEMO_MSYS 1 R5C2 2006-06-06 11:13:57.0 2006-06-06 11:14:19.0 2006-06-06 11:14:31.0 2006-06-06 11:14:31.0 34 34 0 1 0 1 Entering a given 544 643570 dTIQk6Xt3r Unit CTA1_01, Section CTA1_01-3 BH1T19B 1 R5C1 2005-09-08 10:44:29.0 2005-09-08 10:44:33.0 2005-09-08 10:44:33.0 2005-09-08 10:44:33.0 4 4 1 0 0 1 Entering a given 37 643918 dTIQk6Xt3r Unit CTA1_02, Section CTA1_02-4 L2FB14C 1 R3C1 2005-09-29 11:08:56.0 2005-09-29 11:09:12.0 2005-09-29 11:09:12.0 2005-09-29 11:09:12.0 16 16 1 0 0 1 Define Variable 37 644131 dTIQk6Xt3r Unit ES_01, Section ES_01-8 EG24 3 2/-7 = -7x/-7 2005-10-11 10:39:34.0 2005-10-11 10:39:43.0 2005-10-11 10:39:53.0 2005-10-11 10:39:53.0 19 19 0 1 0 1 644285 dTIQk6Xt3r Unit CTA1_04, Section CTA1_04-2 BH1T02 2 R6C2 2005-10-25 10:34:14.0 2005-10-25 10:34:25.0 2005-10-25 10:34:25.0 2005-10-25 10:34:25.0 11 11 1 0 0 1 Entering a given 143 644627 dTIQk6Xt3r Unit ES_02, Section ES_02-9 EG44 4 6x = -2/x*x 2005-11-03 10:39:38.0 2005-11-03 10:39:49.0 2005-11-03 10:39:49.0 2005-11-03 10:39:49.0 11 11 1 0 0 1 644788 dTIQk6Xt3r Unit CTA1_13, Section CTA1_13-1 PROP13 1 R6C1 2005-11-22 10:46:18.0 2005-11-22 10:46:47.0 2005-11-22 10:46:47.0 2005-11-22 10:46:47.0 29 29 1 0 0 1 Entering a given~~Convert unit, standard 214~~19 645386 dTIQk6Xt3r Unit CTA1_06, Section CTA1_06-4 BH1T51 1 R7C1 2006-01-26 11:14:28.0 2006-01-26 11:14:33.0 2006-01-26 11:15:01.0 2006-01-26 11:15:01.0 33 33 0 1 0 1 Entering a given~~Convert unit, standard 313~~28 645745 dTIQk6Xt3r Unit ES_03, Section ES_03-6 EG52 1 -1 = -0.5x 2006-02-28 10:45:46.0 2006-02-28 10:46:13.0 2006-02-28 10:46:42.0 2006-02-28 10:46:42.0 56 56 0 1 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 180~~67 646019 dTIQk6Xt3r Unit CTA1_08, Section CTA1_08-3 REAL10 1 R3C1 2006-03-16 10:37:15.0 2006-03-16 10:37:27.0 2006-03-16 10:37:27.0 2006-03-16 10:37:27.0 12 12 1 0 0 1 Define Variable 104 646439 dTIQk6Xt3r Unit ES_04, Section ES_04-15 LIT56 1 -j*w/j*j = (b-j*t)/j*j 2006-04-25 10:40:48.0 2006-04-25 10:40:55.0 2006-04-25 10:40:55.0 2006-04-25 10:40:55.0 7 7 1 0 0 1 646846 dTIQk6Xt3r Unit CTA1_10, Section CTA1_10-6 DISTFB11_SP 2 R6C2 2006-05-11 11:06:57.0 2006-05-11 11:07:21.0 2006-05-11 11:07:35.0 2006-05-11 11:07:35.0 38 38 0 2 0 1 Entering a given 401 647063 dTIQk6Xt3r Unit ES_07, Section ES_07-4 LIT66A 2 x*(-z+s)/(-z+s) = (t*n+c*h)/(-z+s) 2006-05-26 10:36:41.0 2006-05-26 10:37:31.0 2006-05-26 10:37:31.0 2006-05-26 10:37:39.0 58 58 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 83 647232 dTIQk6Xt3r Unit CTA1_12, Section CTA1_12-2 SYS04 1 R6C1 2006-06-06 11:08:48.0 2006-06-06 11:08:53.0 2006-06-06 11:10:26.0 76 76 0 6 5 0 Using simple numbers~~Using small numbers~~Find X, positive slope 280~~258~~99 647484 Ij894m7u4j Unit CTA1_01, Section CTA1_01-3 L3NOV07B 1 R4C2 2006-02-02 10:58:36.0 2006-02-02 10:59:08.0 2006-02-02 10:59:57.0 2006-02-02 10:59:57.0 81 81 0 2 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 51~~30~~8 647617 Ij894m7u4j Unit CTA1_02, Section CTA1_02-2 NOV04A 1 R1C1 2006-02-09 10:42:06.0 2006-02-09 10:42:41.0 2006-02-09 10:42:41.0 2006-02-09 10:42:41.0 35 35 1 0 0 1 647886 m58s5oOZCm Unit CTA1_01, Section CTA1_01-3 L5FB03 1 R3C2 2005-09-22 10:46:38.0 2005-09-22 10:46:53.0 2005-09-22 10:47:09.0 2005-09-22 10:47:09.0 31 31 0 1 0 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 72~~44~~5 648167 m58s5oOZCm Unit CTA1_02, Section CTA1_02-4 BH1T29C 1 XUnit 2005-10-11 11:02:47.0 2005-10-11 11:02:50.0 2005-10-11 11:02:50.0 2005-10-11 11:02:50.0 3 3 1 0 0 1 648563 m58s5oOZCm Unit ES_01, Section ES_01-9 EG26 2 pm-r-num-node 2005-10-26 14:48:38.0 2005-10-26 14:48:45.0 2005-10-26 14:48:45.0 2005-10-26 14:48:45.0 7 7 1 0 0 1 648865 m58s5oOZCm Unit CTA1_04, Section CTA1_04-4 BH1T47B 1 R1C2 2005-10-27 10:50:35.0 2005-10-27 10:50:44.0 2005-10-27 10:50:44.0 2005-10-27 10:50:44.0 9 9 1 0 0 1 649294 m58s5oOZCm Unit ES_02, Section ES_02-9 EG44 3 1x = -7/x*x 2005-11-01 15:22:44.0 2005-11-01 15:22:48.0 2005-11-01 15:22:48.0 2005-11-01 15:22:48.0 4 4 1 0 0 1 649417 m58s5oOZCm Unit CTA1_13, Section CTA1_13-1 PROP02 1 R3C2 2005-11-15 11:06:47.0 2005-11-15 11:07:08.0 2005-11-15 11:07:08.0 2005-11-15 11:07:08.0 21 21 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 135~~51~~55 649992 m58s5oOZCm Unit CTA1_06, Section CTA1_06-4 L6FB19 1 R7C1 2005-12-20 10:39:50.0 2005-12-20 10:40:00.0 2005-12-20 10:40:00.0 2005-12-20 10:40:00.0 10 10 1 0 0 1 Using large numbers~~Find X, positive slope~~Using difficult numbers 107~~52~~90 650444 m58s5oOZCm Unit ES_03, Section ES_03-6 EG52A 1 FinalAnswer 2006-01-19 10:35:06.0 2006-01-19 10:35:16.0 2006-01-19 10:35:54.0 2006-01-19 10:38:33.0 136 136 0 15 3 4 simplify-fractions-sp~~combine-like-terms-sp 32~~40 650751 m58s5oOZCm Unit CTA1_08, Section CTA1_08-2 FEB02 1 R1C2 2006-01-26 11:12:08.0 2006-01-26 11:12:17.0 2006-01-26 11:12:17.0 2006-01-26 11:12:17.0 9 9 1 0 0 1 650959 MPqJdqnPtc Unit CTA1_01, Section CTA1_01-3 L3NOV07A 1 R2C1 2005-09-13 10:37:06.0 2005-09-13 10:37:15.0 2005-09-13 10:37:15.0 2005-09-13 10:37:15.0 9 9 1 0 0 1 Identifying units 27 651210 MPqJdqnPtc Unit CTA1_02, Section CTA1_02-3 L3NOV12C 2 R6C2 2005-09-27 10:32:18.0 2005-09-27 10:34:09.0 2005-09-27 10:34:09.0 2005-09-27 10:34:09.0 111 111 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 133~~60~~40 651460 MPqJdqnPtc Unit ES_01, Section ES_01-10 EG27 1 10 = -y*-1 2005-10-04 10:53:06.0 2005-10-04 10:53:11.0 2005-10-04 10:53:11.0 2005-10-04 10:53:11.0 5 5 1 0 0 1 651637 MPqJdqnPtc Unit CTA1_04, Section CTA1_04-4 L5FB04 1 R5C1 2005-10-13 11:03:08.0 2005-10-13 11:03:19.0 2005-10-13 11:04:33.0 2005-10-13 11:04:33.0 85 85 0 5 3 1 Entering a given 154 651865 MPqJdqnPtc Unit ES_02, Section ES_02-6 EG40 11 -9y/-9 = 4/-9 2005-10-20 11:09:16.0 2005-10-20 11:09:51.0 2005-10-20 11:09:51.0 2005-10-20 11:09:58.0 42 42 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 14 652015 MPqJdqnPtc Unit CTA1_13, Section CTA1_13-1 PROP02 1 R1C2 2005-10-27 10:36:09.0 2005-10-27 10:36:22.0 2005-10-27 10:36:22.0 2005-10-27 10:36:22.0 13 13 1 0 0 1 652579 MPqJdqnPtc Unit CTA1_06, Section CTA1_06-4 BH1T51 1 R7C1 2005-11-22 11:11:19.0 2005-11-22 11:11:34.0 2005-11-22 11:11:34.0 2005-11-22 11:11:34.0 15 15 1 0 0 1 Entering a given~~Convert unit, standard 288~~24 652880 MPqJdqnPtc Unit ES_03, Section ES_03-6 EG52 2 y1R1 2005-12-08 10:33:43.0 2005-12-08 10:33:49.0 2005-12-08 10:33:49.0 2005-12-08 10:33:49.0 6 6 1 0 0 1 653224 MPqJdqnPtc Unit CTA1_08, Section CTA1_08-3 NOV13 1 Slope Field 1 2005-12-21 11:02:28.0 2005-12-21 11:02:30.0 2005-12-21 11:03:08.0 2005-12-21 11:03:08.0 40 40 0 4 3 1 Entering the slope 14 653635 MPqJdqnPtc Unit ES_04, Section ES_04-16 LIT58A 1 c+q = (s+g-7)/z 2006-02-16 10:44:48.0 2006-02-16 10:45:01.0 2006-02-16 10:45:01.0 2006-02-16 10:45:01.0 13 13 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 203 653893 MPqJdqnPtc Unit CTA1_10, Section CTA1_10-5 DIST05_SP 1 R3C1 2006-02-28 11:08:19.0 2006-02-28 11:08:24.0 2006-02-28 11:08:24.0 2006-02-28 11:08:24.0 5 5 1 0 0 1 Define Variable 124 654187 MPqJdqnPtc Unit ES_07, Section ES_07-6 LIT82A 2 row3-N-j 2006-03-14 10:36:07.0 2006-03-14 10:36:08.0 2006-03-14 10:36:16.0 2006-03-14 10:36:16.0 9 9 0 1 0 1 654497 MPqJdqnPtc Unit CTA1_12, Section CTA1_12-5 SYSFB25 1 R1C2 2006-03-28 11:12:19.0 2006-03-28 11:13:03.0 2006-03-28 11:13:03.0 2006-03-28 11:13:03.0 44 44 1 0 0 1 654640 MPqJdqnPtc Unit ES_05, Section ES_05-1 EG42C 1 2.79x = 19.98 2006-04-04 10:33:45.0 2006-04-04 10:33:52.0 2006-04-04 10:33:52.0 2006-04-04 10:33:52.0 7 7 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 123~~316 655065 MPqJdqnPtc Unit CTA1_14, Section CTA1_14-4 2PTFB13 1 R1C2 2006-05-02 11:00:52.0 2006-05-02 11:01:14.0 2006-05-02 11:01:14.0 2006-05-02 11:01:14.0 22 22 1 0 0 1 655213 MPqJdqnPtc Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 XGE0 1 Formula 1 Point 1 2006-05-09 10:57:50.0 2006-05-09 10:57:54.0 2006-05-09 10:57:54.0 2006-05-09 10:57:54.0 4 4 1 0 0 1 Placing coordinate point 24 655456 MPqJdqnPtc Unit CTA1_15, Section CTA1_15-3 SYS06 1 R5C2 2006-05-18 10:35:20.0 2006-05-18 10:35:36.0 2006-05-18 10:35:36.0 2006-05-18 10:35:36.0 16 16 1 0 0 1 Entering a given 554 655752 MPqJdqnPtc Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE3TRE 2 xMin 2006-06-06 12:22:22.0 2006-06-06 12:22:35.0 2006-06-06 12:22:35.0 2006-06-06 12:23:16.0 21 21 1 0 0 2 Changing axis bounds 210 655870 MPqJdqnPtc Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR35 1 8x^2+3x 2006-06-07 10:53:20.0 2006-06-07 10:53:25.0 2006-06-07 10:53:32.0 2006-06-07 10:53:32.0 12 12 0 1 0 1 655908 MPqJdqnPtc Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR01 1 x-7 = 0 2006-06-07 11:08:32.0 2006-06-07 11:08:54.0 2006-06-07 11:08:54.0 2006-06-07 11:11:18.0 75 75 1 1 0 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 350~~31 656076 PE6x6PxZ42 Unit CTA1_01, Section CTA1_01-3 BH1T19C 1 R3C2 2005-09-06 11:10:38.0 2005-09-06 11:10:47.0 2005-09-06 11:10:47.0 2005-09-06 11:10:47.0 9 9 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 57~~25~~14 656304 PE6x6PxZ42 Unit CTA1_02, Section CTA1_02-3 L3NOV10A 1 R4C2 2005-09-15 10:49:02.0 2005-09-15 10:49:38.0 2005-09-15 10:49:38.0 2005-09-15 10:49:38.0 36 36 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 116~~49~~35 656508 PE6x6PxZ42 Unit ES_01, Section ES_01-7 EG22 2 x-2 = -6 2005-09-22 10:40:17.0 2005-09-22 10:40:31.0 2005-09-22 10:40:31.0 2005-09-22 10:40:31.0 14 14 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 10~~5 656736 PE6x6PxZ42 Unit CTA1_04, Section CTA1_04-3 DEC01A 1 1.5M+2 = 54.5 2005-09-29 10:55:58.0 2005-09-29 10:56:07.0 2005-09-29 10:56:07.0 2005-09-29 10:56:07.0 9 9 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 37 657096 PE6x6PxZ42 Unit ES_02, Section ES_02-7 EG41 2 y/5 = -10 2005-10-11 10:39:49.0 2005-10-11 10:39:57.0 2005-10-11 10:39:57.0 2005-10-11 10:39:57.0 8 8 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 30~~73 657244 PE6x6PxZ42 Unit CTA1_13, Section CTA1_13-1 PROP01 1 R3C2 2005-10-11 11:11:27.0 2005-10-11 11:11:42.0 2005-10-11 11:11:42.0 2005-10-11 11:11:42.0 15 15 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 131~~49~~61 657740 PE6x6PxZ42 Unit CTA1_06, Section CTA1_06-4 BH1T48 2 xScale 2005-10-27 10:29:06.0 2005-10-27 10:29:10.0 2005-10-27 10:29:10.0 2005-10-27 10:29:10.0 4 4 1 0 0 1 Changing axis intervals 56 658252 PE6x6PxZ42 Unit ES_03, Section ES_03-8 LIT10A 1 gR2 2005-11-03 11:01:26.0 2005-11-03 11:01:29.0 2005-11-03 11:01:29.0 2005-11-03 11:01:29.0 3 3 1 0 0 1 658472 PE6x6PxZ42 Unit CTA1_08, Section CTA1_08-3 NOV13 1 R3C2 2005-11-15 11:04:01.0 2005-11-15 11:04:18.0 2005-11-15 11:04:26.0 2005-11-15 11:04:26.0 25 25 0 1 0 1 Using simple numbers~~Using small numbers~~Write expression, negative slope 203~~206~~18 658917 PE6x6PxZ42 Unit ES_04, Section ES_04-12 EG58A 7 constant terms1R1 2005-11-29 10:53:24.0 2005-11-29 10:53:26.0 2005-11-29 10:53:26.0 2005-11-29 10:53:26.0 2 2 1 0 0 1 659529 PE6x6PxZ42 Unit CTA1_10, Section CTA1_10-6 DISTFB12_SP 1 60H+50 = 395 2005-12-20 10:52:19.0 2005-12-20 10:52:23.0 2005-12-20 10:52:23.0 2005-12-20 10:52:23.0 4 4 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 264 659714 PE6x6PxZ42 Unit ES_07, Section ES_07-6 LIT82A 1 (w*m*j+w*j)*j/j = x*j 2005-12-21 10:57:00.0 2005-12-21 10:57:10.0 2005-12-21 10:57:27.0 2005-12-21 10:57:27.0 27 27 0 1 1 1 660177 PE6x6PxZ42 Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 R7C3 2006-01-24 10:46:55.0 2006-01-24 10:47:04.0 2006-01-24 10:47:04.0 2006-01-24 10:47:04.0 9 9 1 0 0 1 Entering a given 412 660518 PE6x6PxZ42 Unit CTA1_14, Section CTA1_14-4 TPH04 1 R6C2 2006-02-02 10:59:03.0 2006-02-02 10:59:05.0 2006-02-02 10:59:05.0 2006-02-02 10:59:05.0 2 2 1 0 0 1 Entering a given 486 660831 PE6x6PxZ42 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLE-3X-13 1 xMin 2006-02-16 10:58:26.0 2006-02-16 10:58:28.0 2006-02-16 10:58:28.0 2006-02-16 10:58:54.0 11 11 1 0 0 2 661187 PE6x6PxZ42 Unit CTA1_15, Section CTA1_15-3 SYS07 1 R3C3 2006-03-02 10:43:03.0 2006-03-02 10:43:15.0 2006-03-02 10:43:15.0 2006-03-02 10:43:15.0 12 12 1 0 0 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 376~~223~~32 661393 PE6x6PxZ42 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE2TRE 1 yMax 2006-03-08 10:51:41.0 2006-03-08 10:51:49.0 2006-03-08 10:51:49.0 2006-03-08 10:51:49.0 8 8 1 0 0 2 Changing axis bounds 248 661584 PE6x6PxZ42 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR26 1 a-factor-2 2006-03-28 10:56:40.0 2006-03-28 10:56:41.0 2006-03-28 10:56:41.0 2006-03-28 10:56:41.0 1 1 1 0 0 1 661887 PE6x6PxZ42 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR07 1 x = -5 2006-03-30 11:09:58.0 2006-03-30 11:10:02.0 2006-03-30 11:10:02.0 4 4 0 0 1 0 [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] 35 662330 PE6x6PxZ42 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD8TRE 1 R4C2 2006-05-02 10:48:28.0 2006-05-02 10:51:20.0 2006-05-02 10:51:44.0 2006-05-02 10:51:44.0 196 196 0 1 0 1 Using simple numbers~~Using small numbers~~Find Y, any form~~Entering a computed quadratic value 459~~421~~37~~33 662457 PE6x6PxZ42 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 1 yR2 2006-05-04 10:54:12.0 2006-05-04 10:54:15.0 2006-05-04 10:54:15.0 2006-05-04 10:54:15.0 3 3 1 0 0 1 perform-mult-row2-sp 20 662803 PE6x6PxZ42 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 2 row1-N-constant factors 2006-05-11 10:46:43.0 2006-05-11 10:46:47.0 2006-05-11 10:46:47.0 2006-05-11 10:46:47.0 4 4 1 0 0 1 663128 PE6x6PxZ42 Unit CTA1_20, Section CTA1_20-2 1PTFB18 1 ValidEquations 2006-05-23 11:11:12.0 2006-05-23 11:11:23.0 2006-05-23 11:11:44.0 2006-05-23 11:14:37.0 51 51 0 2 0 3 663300 PE6x6PxZ42 Unit CTA1_21, Section CTA1_21-2 FEB12 1 R1C2 2006-06-06 10:55:34.0 2006-06-06 10:55:40.0 2006-06-06 10:55:40.0 2006-06-06 10:55:40.0 6 6 1 0 0 1 663409 PE6x6PxZ42 Unit CTA1_22, Section CTA1_22-1 SYSFB08 1 xMax 2006-06-06 11:11:52.0 2006-06-06 11:12:04.0 2006-06-06 11:12:04.0 2006-06-06 11:12:04.0 12 12 1 0 0 1 Changing axis bounds 297 663668 Ru21xRreim Unit CTA1_01, Section CTA1_01-4 JAN04 1 R5C2 2005-09-13 10:54:53.0 2005-09-13 10:55:23.0 2005-09-13 10:55:23.0 2005-09-13 10:55:23.0 30 30 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 82~~48~~18 663871 Ru21xRreim Unit CTA1_02, Section CTA1_02-4 L2FB14C 1 R1C1 2005-09-16 10:18:56.0 2005-09-16 10:19:35.0 2005-09-16 10:19:35.0 2005-09-16 10:19:35.0 39 39 1 0 0 1 664020 Ru21xRreim Unit ES_01, Section ES_01-6 EG22 4 -4 = y-2 2005-09-22 10:44:53.0 2005-09-22 10:45:07.0 2005-09-22 10:45:07.0 2005-09-22 10:45:07.0 14 14 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 7~~4 664273 Ru21xRreim Unit CTA1_04, Section CTA1_04-4 L5FB04A 1 R7C2 2005-10-06 10:38:19.0 2005-10-06 10:38:30.0 2005-10-06 10:38:40.0 2005-10-06 10:38:40.0 21 21 0 1 0 1 Entering a given 152 664501 Ru21xRreim Unit ES_02, Section ES_02-8 EG41 2 5 = x/3 2005-10-18 10:37:22.0 2005-10-18 10:37:32.0 2005-10-18 10:37:32.0 2005-10-18 10:37:32.0 10 10 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 23~~72 664610 Ru21xRreim Unit CTA1_13, Section CTA1_13-1 PROP02 1 R5C1 2005-10-20 10:58:11.0 2005-10-20 10:58:20.0 2005-10-20 10:59:48.0 2005-10-20 10:59:48.0 22 22 0 2 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 120~~21~~50 665001 Ru21xRreim Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 R7C2 2005-11-10 10:49:32.0 2005-11-10 10:49:51.0 2005-11-10 10:49:51.0 2005-11-10 10:49:51.0 19 19 1 0 0 1 Entering a given 262 665241 Ru21xRreim Unit ES_03, Section ES_03-6 EG51A 2 yR2 2005-11-17 11:06:32.0 2005-11-17 11:06:48.0 2005-11-17 11:06:58.0 2005-11-17 11:06:58.0 26 26 0 1 0 1 665497 Ru21xRreim Unit CTA1_08, Section CTA1_08-3 FEB08 1 Formula 1 Coeff 0 2005-12-08 10:47:03.0 2005-12-08 10:47:11.0 2005-12-08 10:47:39.0 2005-12-08 10:47:39.0 36 36 0 3 0 1 Setting the y-intercept 14 665783 Ru21xRreim Unit ES_04, Section ES_04-14 LIT26A 1 u*z+3 = 52 2006-01-26 10:57:08.0 2006-01-26 10:57:18.0 2006-01-26 10:57:18.0 2006-01-26 10:57:18.0 10 10 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 159 666098 Ru21xRreim Unit CTA1_10, Section CTA1_10-5 DIST05_SP 2 R7C2 2006-03-16 10:30:18.0 2006-03-16 10:30:28.0 2006-03-16 10:30:28.0 2006-03-16 10:30:28.0 10 10 1 0 0 1 Entering a given 330 666259 Ru21xRreim Unit ES_07, Section ES_07-4 LIT70A 1 -r*u-r*w = x*s-6u 2006-03-30 11:02:14.0 2006-03-30 11:02:23.0 2006-03-30 11:02:23.0 2006-03-30 11:02:23.0 9 9 1 0 0 1 [SkillRule: Extract to consolidate vars; {factor; factorb; factorc; factord}] 20 666545 Ru21xRreim Unit CTA1_12, Section CTA1_12-4 SYSFB22 1 210-5M = 82+3M 2006-05-02 10:53:45.0 2006-05-02 10:53:58.0 2006-05-02 10:53:58.0 2006-05-02 10:53:58.0 13 13 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 28 666781 Ru21xRreim Unit CTA1_14, Section CTA1_14-2 1PTB03 1 R7C1 2006-05-26 10:51:07.0 2006-05-26 10:51:12.0 2006-05-26 10:51:12.0 2006-05-26 10:51:12.0 5 5 1 0 0 1 Entering a given 401 666997 SoEcLAeJi1 Unit CTA1_01, Section CTA1_01-3 L3NOV07A 1 R5C1 2005-09-06 10:59:26.0 2005-09-06 10:59:52.0 2005-09-06 10:59:52.0 2005-09-06 10:59:52.0 26 26 1 0 0 1 Entering a given 35 667298 SoEcLAeJi1 Unit CTA1_02, Section CTA1_02-4 BH1T29B 1 XLabel 2005-09-20 10:38:56.0 2005-09-20 10:39:19.0 2005-09-20 10:39:19.0 2005-09-20 10:39:19.0 23 23 1 0 0 1 Labelling the axes 21 667525 SoEcLAeJi1 Unit ES_01, Section ES_01-9 EG23 3 4x/4 = -3/4 2005-09-27 10:50:15.0 2005-09-27 10:50:19.0 2005-09-27 10:50:19.0 2005-09-27 10:50:32.0 17 17 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 10 667688 SoEcLAeJi1 Unit CTA1_04, Section CTA1_04-3 PERCENT14B 1 R7C1 2005-10-06 10:38:33.0 2005-10-06 10:38:40.0 2005-10-06 10:38:40.0 2005-10-06 10:38:40.0 7 7 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 98~~19~~30 667915 SoEcLAeJi1 Unit ES_02, Section ES_02-7 EG41 1 -4-(-7) = -7+y/6-(-7) 2005-10-18 11:00:02.0 2005-10-18 11:00:22.0 2005-10-18 11:00:22.0 2005-10-18 11:00:22.0 20 20 1 0 0 1 668057 SoEcLAeJi1 Unit CTA1_13, Section CTA1_13-1 PROP03 1 ValidEquations 2005-10-25 11:10:25.0 2005-10-25 11:11:26.0 2005-10-25 11:11:26.0 2005-10-25 11:12:16.0 75 75 1 0 0 3 668561 SoEcLAeJi1 Unit CTA1_06, Section CTA1_06-4 JAN09 1 R1C1 2005-12-13 10:57:27.0 2005-12-13 10:57:56.0 2005-12-13 10:57:56.0 2005-12-13 10:57:56.0 29 29 1 0 0 1 669048 SoEcLAeJi1 Unit ES_03, Section ES_03-8 LIT3A 1 k-d+d = z+d 2006-02-14 11:08:54.0 2006-02-14 11:08:59.0 2006-02-14 11:08:59.0 2006-02-14 11:09:06.0 12 12 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 39 669323 SoEcLAeJi1 Unit CTA1_08, Section CTA1_08-3 BH1T07 2 XUnit 2006-03-07 11:05:55.0 2006-03-07 11:06:00.0 2006-03-07 11:06:00.0 2006-03-07 11:06:00.0 5 5 1 0 0 1 669667 SoEcLAeJi1 Unit ES_04, Section ES_04-15 LIT58 1 b+n-b = (r+f-7)/y-b 2006-04-04 10:39:06.0 2006-04-04 10:39:10.0 2006-04-04 10:39:10.0 2006-04-04 10:39:10.0 4 4 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 103 669939 SoEcLAeJi1 Unit CTA1_10, Section CTA1_10-6 DISTFB13_SP 1 R2C1 2006-05-04 10:52:39.0 2006-05-04 10:52:45.0 2006-05-04 10:52:45.0 2006-05-04 10:52:45.0 6 6 1 0 0 1 Identifying units 162 670092 SoEcLAeJi1 Unit ES_07, Section ES_07-4 LIT66A 1 FinalAnswer 2006-05-23 10:43:21.0 2006-05-23 10:43:32.0 2006-05-23 10:43:32.0 2006-05-23 10:43:32.0 11 11 1 0 0 1 factor-sp 11 670133 SoEcLAeJi1 Unit CTA1_12, Section CTA1_12-1 LDEMO_SYS 1 R1C2 2006-06-05 10:52:49.0 2006-06-05 10:53:11.0 2006-06-05 10:53:11.0 22 22 0 1 0 0 670308 UmsZ3gHcg7 Unit CTA1_01, Section CTA1_01-4 JAN04C 2 R4C1 2005-09-15 10:32:35.0 2005-09-15 10:32:53.0 2005-09-15 10:32:53.0 2005-09-15 10:32:53.0 18 18 1 0 0 1 Entering a given 40 670556 UmsZ3gHcg7 Unit CTA1_02, Section CTA1_02-4 REAL19A 2 R7C2 2005-10-04 10:49:20.0 2005-10-04 10:50:57.0 2005-10-04 10:50:57.0 2005-10-04 10:50:57.0 97 97 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 121~~59~~19 670778 UmsZ3gHcg7 Unit ES_01, Section ES_01-10 EG27 2 -x*-1 = 5*-1 2005-10-20 10:37:50.0 2005-10-20 10:38:03.0 2005-10-20 10:38:03.0 2005-10-20 10:38:03.0 13 13 1 0 0 1 670967 UmsZ3gHcg7 Unit CTA1_04, Section CTA1_04-3 L2FB15 1 M*0.23-7.87 = 25 2005-10-26 15:29:17.0 2005-10-26 15:29:30.0 2005-10-26 15:29:30.0 2005-10-26 15:29:30.0 13 13 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 35~~4 671210 UmsZ3gHcg7 Unit ES_02, Section ES_02-8 EG41 2 y/9+4 = 1 2005-11-01 15:38:33.0 2005-11-01 15:38:43.0 2005-11-01 15:38:43.0 2005-11-01 15:38:43.0 10 10 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 70 671390 UmsZ3gHcg7 Unit CTA1_13, Section CTA1_13-1 PROP13 1 R4C2 2005-11-10 10:45:14.0 2005-11-10 10:45:17.0 2005-11-10 10:45:19.0 5 5 0 0 2 0 Find Y, Simple~~Using small numbers~~Using difficult numbers 37~~123~~58 671932 UmsZ3gHcg7 Unit CTA1_06, Section CTA1_06-4 L6FB19 1 R4C2 2006-01-26 10:58:41.0 2006-01-26 10:59:02.0 2006-01-26 10:59:32.0 2006-01-26 10:59:32.0 51 51 0 2 0 1 Using large numbers~~Find Y, positive slope~~Using difficult numbers 95~~44~~98 672209 UmsZ3gHcg7 Unit ES_03, Section ES_03-5 EG51 2 -10.5/8.4 = 8.4x/8.4 2006-03-14 10:52:56.0 2006-03-14 10:53:04.0 2006-03-14 10:53:04.0 2006-03-14 10:53:04.0 8 8 1 0 0 1 672465 UmsZ3gHcg7 Unit CTA1_08, Section CTA1_08-2 REAL31 1 Formula 1 Coeff 1 2006-04-04 10:54:33.0 2006-04-04 10:54:40.0 2006-04-04 10:55:32.0 2006-04-04 10:55:32.0 26 26 0 2 0 1 Setting the slope 11 672777 UmsZ3gHcg7 Unit ES_04, Section ES_04-12 EG58 1 -8 = 19y-36 2006-04-25 15:10:20.0 2006-04-25 15:10:26.0 2006-04-25 15:10:26.0 2006-04-25 15:10:26.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 173~~60 673193 UmsZ3gHcg7 Unit CTA1_10, Section CTA1_10-6 DISTFB11_SP 1 7(M-30) = 2830 2006-05-17 15:18:07.0 2006-05-17 15:18:18.0 2006-05-17 15:18:18.0 2006-05-17 15:18:18.0 11 11 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 89 673403 UmsZ3gHcg7 Unit ES_07, Section ES_07-6 LIT72A 1 (n+q)/s = c 2006-05-23 10:42:32.0 2006-05-23 10:42:41.0 2006-05-23 10:42:41.0 2006-05-23 10:42:41.0 9 9 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 92~~290 673621 UmsZ3gHcg7 Unit CTA1_12, Section CTA1_12-3 SYS02 2 0.21M = 325 2006-06-02 14:24:09.0 2006-06-02 14:24:15.0 2006-06-02 14:24:15.0 2006-06-02 14:24:15.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 128~~308 673822 X223hIsDU4 Unit CTA1_01, Section CTA1_01-1 LDEMO_WKST 1 R3C1 2005-08-30 11:04:29.0 2005-08-30 11:05:06.0 2005-08-30 11:05:06.0 2005-08-30 11:05:06.0 37 37 1 0 0 1 Define Variable 1 674037 X4ZaxfDz3Q Unit CTA1_01, Section CTA1_01-4 JAN04 1 R5C1 2005-09-13 11:08:06.0 2005-09-13 11:08:42.0 2005-09-13 11:10:18.0 2005-09-13 11:10:18.0 132 132 0 2 0 1 Entering a given~~Convert unit, standard 49~~5 674314 X4ZaxfDz3Q Unit CTA1_02, Section CTA1_02-4 L2FB14B 1 xMax 2005-10-04 10:55:12.0 2005-10-04 10:55:22.0 2005-10-04 10:55:22.0 2005-10-04 10:55:22.0 10 10 1 0 0 1 Changing axis bounds 26 674490 X4ZaxfDz3Q Unit ES_01, Section ES_01-8 EG25 2 -2*9 = x/9*9 2005-10-11 11:07:39.0 2005-10-11 11:07:58.0 2005-10-11 11:07:58.0 2005-10-11 11:07:58.0 19 19 1 0 0 1 674636 X4ZaxfDz3Q Unit CTA1_04, Section CTA1_04-2 BH1T02 1 R7C2 2005-10-18 11:09:58.0 2005-10-18 11:10:13.0 2005-10-18 11:10:13.0 2005-10-18 11:10:13.0 15 15 1 0 0 1 Entering a given 142 674953 X4ZaxfDz3Q Unit ES_02, Section ES_02-9 EG44 7 -2y/-2 = -3 2005-11-03 10:36:55.0 2005-11-03 10:37:01.0 2005-11-03 10:37:01.0 2005-11-03 10:37:01.0 6 6 1 0 0 1 675098 X4ZaxfDz3Q Unit CTA1_13, Section CTA1_13-1 PROP10 2 R6C1 2005-11-11 09:49:02.0 2005-11-11 09:49:12.0 2005-11-11 09:49:12.0 2005-11-11 09:49:12.0 10 10 1 0 0 1 Entering a given 204 675456 X4ZaxfDz3Q Unit CTA1_06, Section CTA1_06-3 JAN06 2 XLabel 2005-12-06 10:32:39.0 2005-12-06 10:34:04.0 2005-12-06 10:34:04.0 2005-12-06 10:34:04.0 85 85 1 0 0 1 Labelling the axes 53 675944 X4ZaxfDz3Q Unit ES_03, Section ES_03-6 EG51 2 5.8 = -0.3-4.5x 2006-01-24 10:55:51.0 2006-01-24 10:56:04.0 2006-01-24 10:56:04.0 2006-01-24 10:56:04.0 13 13 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 115~~40 676172 X4ZaxfDz3Q Unit CTA1_08, Section CTA1_08-2 FEB09 1 R3C2 2006-02-14 10:44:38.0 2006-02-14 10:44:51.0 2006-02-14 10:46:38.0 2006-02-14 10:46:38.0 120 120 0 3 5 1 Using simple numbers~~Using small numbers~~Write expression, negative slope 203~~198~~22 676481 X4ZaxfDz3Q Unit ES_04, Section ES_04-12 EG58 5 -6x+48-6x = 2 2006-03-08 10:51:40.0 2006-03-08 10:51:47.0 2006-03-08 10:51:47.0 2006-03-08 10:51:47.0 7 7 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 92 676903 X4ZaxfDz3Q Unit CTA1_10, Section CTA1_10-4 FOR08_SP 1 R4C2 2006-03-28 10:45:14.0 2006-03-28 10:45:26.0 2006-03-28 10:45:30.0 16 16 0 2 0 0 Using simple numbers~~Using large numbers~~Find Y, positive slope 231~~130~~51 677239 X4ZaxfDz3Q Unit ES_07, Section ES_07-4 LIT62A 3 c*j+s*u = n*q-w*u 2006-04-18 10:25:54.0 2006-04-18 10:26:26.0 2006-04-18 10:26:26.0 2006-04-18 10:26:26.0 32 32 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 29 677541 X4ZaxfDz3Q Unit CTA1_12, Section CTA1_12-5 SYSFB05 1 R3C3 2006-04-27 10:45:31.0 2006-04-27 10:45:46.0 2006-04-27 10:46:14.0 2006-04-27 10:46:14.0 43 43 0 1 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 268~~261~~114 677986 X4ZaxfDz3Q Unit CTA1_14, Section CTA1_14-4 TPH15 1 R5C2 2006-05-23 10:54:11.0 2006-05-23 10:54:16.0 2006-05-23 10:54:16.0 2006-05-23 10:54:16.0 5 5 1 0 0 1 Entering a given 497 678274 YNGlv7F45C Unit CTA1_01, Section CTA1_01-3 BH1T19 1 R2C1 2005-09-06 11:05:47.0 2005-09-06 11:05:55.0 2005-09-06 11:05:55.0 2005-09-06 11:05:55.0 8 8 1 0 0 1 Identifying units 26 678490 YNGlv7F45C Unit CTA1_02, Section CTA1_02-3 L3NOV10 1 R2C2 2005-09-20 10:35:25.0 2005-09-20 10:35:37.0 2005-09-20 10:35:44.0 2005-09-20 10:35:44.0 19 19 0 1 0 1 Identifying units 48 678759 YNGlv7F45C Unit ES_01, Section ES_01-8 EG24 2 -9y*-5 = -5*-5 2005-09-29 10:30:17.0 2005-09-29 10:30:35.0 2005-09-29 10:30:35.0 18 18 0 1 0 0 678917 YNGlv7F45C Unit CTA1_04, Section CTA1_04-3 L2FB15A 1 R1C1 2005-10-06 10:29:39.0 2005-10-06 10:29:55.0 2005-10-06 10:29:55.0 2005-10-06 10:29:55.0 16 16 1 0 0 1 679210 YNGlv7F45C Unit ES_02, Section ES_02-9 EG44 4 -2/y*y = -10y 2005-10-18 11:13:26.0 2005-10-18 11:13:29.0 2005-10-18 11:13:29.0 2005-10-18 11:13:29.0 3 3 1 0 0 1 679318 YNGlv7F45C Unit CTA1_13, Section CTA1_13-1 PROP06 1 R2C1 2005-10-27 10:28:59.0 2005-10-27 10:29:05.0 2005-10-27 10:29:05.0 2005-10-27 10:29:05.0 6 6 1 0 0 1 Identifying units 78 679752 YNGlv7F45C Unit CTA1_06, Section CTA1_06-4 BH1T52 1 R2C1 2005-11-17 10:48:12.0 2005-11-17 10:48:17.0 2005-11-17 10:48:17.0 2005-11-17 10:48:17.0 5 5 1 0 0 1 Identifying units 111 680021 YNGlv7F45C Unit ES_03, Section ES_03-6 EG53A 1 FinalAnswer 2005-12-01 10:54:29.0 2005-12-01 10:55:07.0 2005-12-01 10:56:27.0 2005-12-01 10:56:27.0 118 118 0 2 0 1 combine-like-terms-sp 29 680285 YNGlv7F45C Unit CTA1_08, Section CTA1_08-2 FEB09 1 Slope Field 1 2005-12-15 10:46:22.0 2005-12-15 10:46:25.0 2005-12-15 10:46:25.0 2005-12-15 10:46:25.0 3 3 1 0 0 1 Entering the slope 11 680606 YNGlv7F45C Unit ES_04, Section ES_04-13 LIT35 1 -3/b*b = w*b 2006-01-12 10:38:29.0 2006-01-12 10:38:32.0 2006-01-12 10:38:32.0 2006-01-12 10:38:32.0 3 3 1 0 0 1 680990 YNGlv7F45C Unit CTA1_10, Section CTA1_10-6 DISTFB13_SP 2 R4C1 2006-02-02 10:28:44.0 2006-02-02 10:28:49.0 2006-02-02 10:28:49.0 2006-02-02 10:28:49.0 5 5 1 0 0 1 Entering a given 386 681083 YNGlv7F45C Unit ES_07, Section ES_07-5 LIT82 1 (v*k*h+v*h)/h = w 2006-02-02 11:11:14.0 2006-02-02 11:11:25.0 2006-02-02 11:11:25.0 2006-02-02 11:11:25.0 11 11 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 77~~212 681425 YNGlv7F45C Unit CTA1_12, Section CTA1_12-5 SYSFB24 1 Intersection 1 Y 2006-02-28 11:08:06.0 2006-02-28 11:08:30.0 2006-02-28 11:08:30.0 2006-02-28 11:08:30.0 24 24 1 0 0 1 Labelling point of intersection 22 681803 YNGlv7F45C Unit CTA1_14, Section CTA1_14-4 2PTFB14 1 R2C1 2006-03-28 10:39:33.0 2006-03-28 10:39:55.0 2006-03-28 10:39:55.0 2006-03-28 10:39:55.0 22 22 1 0 0 1 Identifying units 242 682090 YNGlv7F45C Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 X-3YGE20 1 YIntercept1 2006-04-06 10:50:22.0 2006-04-06 10:50:49.0 2006-04-06 10:50:49.0 2006-04-06 10:50:49.0 27 27 1 0 0 1 Negative Constant, GLF~~Entering y-intercept, GLF 14~~9 682450 YNGlv7F45C Unit CTA1_15, Section CTA1_15-3 SYS10 2 yScale 2006-05-09 10:27:56.0 2006-05-09 10:28:01.0 2006-05-09 10:28:01.0 2006-05-09 10:28:36.0 40 40 1 0 0 6 Changing axis intervals 98 682521 YNGlv7F45C Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE8TRE 1 R2C2 2006-05-11 10:39:03.0 2006-05-11 10:39:06.0 2006-05-11 10:39:06.0 2006-05-11 10:39:06.0 3 3 1 0 0 1 Identifying units 290 682659 YNGlv7F45C Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR47 1 a-factor-2 2006-05-17 10:53:10.0 2006-05-17 10:53:12.0 2006-05-17 10:53:26.0 2006-05-17 11:06:09.0 49 49 0 3 0 13 682828 YNGlv7F45C Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR09 1 FQCheckButton 2006-06-05 10:40:59.0 2006-06-05 10:41:01.0 2006-06-05 10:41:01.0 2006-06-05 10:45:55.0 7 7 1 0 0 5 683000 ZP886G3Z76 Unit CTA1_01, Section CTA1_01-3 L5FB03B 1 R4C2 2005-09-13 10:40:08.0 2005-09-13 10:41:48.0 2005-09-13 10:43:12.0 2005-09-13 10:43:12.0 155 155 0 1 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 50~~29~~10 683288 ZP886G3Z76 Unit CTA1_02, Section CTA1_02-4 BH1T29A 2 XLabel 2005-09-29 10:28:05.0 2005-09-29 10:28:41.0 2005-09-29 10:28:41.0 2005-09-29 10:28:41.0 36 36 1 0 0 1 Labelling the axes 21 683470 ZP886G3Z76 Unit ES_01, Section ES_01-6 EG22 1 y-5 = -4 2005-10-04 11:12:28.0 2005-10-04 11:12:48.0 2005-10-04 11:12:48.0 2005-10-04 11:12:48.0 20 20 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 2~~1 683663 ZP886G3Z76 Unit CTA1_04, Section CTA1_04-3 PERCENT14C 2 R4C2 2005-10-20 10:32:06.0 2005-10-20 10:33:20.0 2005-10-20 10:33:20.0 2005-10-20 10:33:20.0 74 74 1 0 0 1 Using small numbers~~Find Y, positive slope~~Using difficult numbers 95~~49~~22 683916 ZP886G3Z76 Unit ES_02, Section ES_02-7 EG41 4 x/-8*-8 = 14*-8 2005-11-10 11:12:13.0 2005-11-10 11:12:17.0 2005-11-10 11:12:23.0 2005-11-10 11:12:23.0 10 10 0 1 0 1 684017 ZP886G3Z76 Unit CTA1_13, Section CTA1_13-1 PROP05 4 3/4*J = 75000 2005-11-22 10:26:15.0 2005-11-22 10:27:21.0 2005-11-22 10:29:42.0 2005-11-22 10:29:42.0 207 207 0 2 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 73 684560 ZP886G3Z76 Unit CTA1_06, Section CTA1_06-4 L6FB19 1 R2C2 2005-12-08 11:10:34.0 2005-12-08 11:10:41.0 2005-12-08 11:10:41.0 2005-12-08 11:10:41.0 7 7 1 0 0 1 Identifying units 111 684894 ZP886G3Z76 Unit ES_03, Section ES_03-6 EG51 1 FinalAnswer 2005-12-21 11:15:03.0 2005-12-21 11:15:14.0 2005-12-21 11:15:14.0 2005-12-21 11:15:14.0 11 11 1 0 0 1 combine-like-terms-sp 32 685176 ZP886G3Z76 Unit CTA1_08, Section CTA1_08-3 PERCENT12 1 R1C2 2006-01-31 11:08:09.0 2006-01-31 11:08:42.0 2006-01-31 11:08:42.0 2006-01-31 11:08:42.0 33 33 1 0 0 1 685596 ZP886G3Z76 Unit ES_04, Section ES_04-16 LIT57A 2 n+3 = (b-c)/j 2006-02-23 10:27:41.0 2006-02-23 10:27:56.0 2006-02-23 10:27:56.0 2006-02-23 10:27:56.0 15 15 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 206 685944 ZP886G3Z76 Unit CTA1_10, Section CTA1_10-6 DISTFB12_SP 1 R5C2 2006-03-16 10:43:08.0 2006-03-16 10:43:20.0 2006-03-16 10:43:20.0 2006-03-16 10:43:20.0 12 12 1 0 0 1 Entering a given 357 686107 ZP886G3Z76 Unit ES_07, Section ES_07-6 LIT77A 1 2z = k-c 2006-03-30 10:40:09.0 2006-03-30 10:40:31.0 2006-03-30 10:40:31.0 2006-03-30 10:40:31.0 22 22 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 322 686379 ZP886G3Z76 Unit CTA1_12, Section CTA1_12-5 SYSFB25 2 137H = 257 2006-04-18 10:46:15.0 2006-04-18 10:46:26.0 2006-04-18 10:46:26.0 2006-04-18 10:46:26.0 11 11 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 158~~345 686872 ZP886G3Z76 Unit CTA1_14, Section CTA1_14-4 TPH04 1 R6C2 2006-05-17 10:46:50.0 2006-05-17 10:47:07.0 2006-05-17 10:47:07.0 2006-05-17 10:47:07.0 17 17 1 0 0 1 Entering a given 492 687094 ZP886G3Z76 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT-4X-10 1 YIntercept1 2006-05-23 10:48:04.0 2006-05-23 10:48:08.0 2006-05-23 10:48:08.0 2006-05-23 10:48:08.0 4 4 1 0 0 1 Negative Constant, SIF~~Entering y-intercept, SIF 15~~8 687318 ZP886G3Z76 Unit CTA1_15, Section CTA1_15-3 SYS06 1 R6C3 2006-06-07 11:04:26.0 2006-06-07 11:04:42.0 2006-06-07 11:04:42.0 2006-06-07 11:04:42.0 16 16 1 0 0 1 Entering a given 516 687514 11fnXrq9Jf Unit CTA1_01, Section CTA1_01-3 REAL20B 1 R6C1 2005-09-13 09:52:36.0 2005-09-13 09:52:44.0 2005-09-13 09:52:44.0 2005-09-13 09:52:44.0 8 8 1 0 0 1 Entering a given 43 687780 11fnXrq9Jf Unit CTA1_02, Section CTA1_02-3 BH1T39 2 xScale 2005-09-29 09:44:29.0 2005-09-29 09:44:32.0 2005-09-29 09:44:32.0 2005-09-29 09:46:30.0 67 67 1 0 0 5 Changing axis intervals 12 688131 11fnXrq9Jf Unit ES_01, Section ES_01-9 EG24 2 -5y = -6 2005-10-20 10:09:47.0 2005-10-20 10:12:10.0 2005-10-20 10:12:24.0 2005-10-20 10:12:24.0 157 157 0 1 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 20~~10 688447 11fnXrq9Jf Unit CTA1_04, Section CTA1_04-4 BH1T47A 1 R1C2 2005-11-01 10:18:05.0 2005-11-01 10:18:23.0 2005-11-01 10:18:23.0 2005-11-01 10:18:23.0 18 18 1 0 0 1 688833 11fnXrq9Jf Unit ES_02, Section ES_02-7 EG41 1 6+7 = y/-2 2005-11-22 10:09:02.0 2005-11-22 10:09:15.0 2005-11-22 10:09:26.0 2005-11-22 10:09:26.0 24 24 0 1 2 1 [SkillRule: Consolidate vars with coeff; CLT] 77 689223 11fnXrq9Jf Unit CTA1_13, Section CTA1_13-1 PROP10 1 2P = 250 2005-11-29 15:11:21.0 2005-11-29 15:11:32.0 2005-11-29 15:11:32.0 2005-11-29 15:11:32.0 11 11 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 75~~130 689744 11fnXrq9Jf Unit CTA1_06, Section CTA1_06-3 JAN06 1 xScale 2005-12-08 09:50:24.0 2005-12-08 09:50:37.0 2005-12-08 09:50:37.0 2005-12-08 09:50:37.0 13 13 1 0 0 1 Changing axis intervals 51 690583 11fnXrq9Jf Unit ES_03, Section ES_03-8 LIT10A 1 -g = -b 2006-01-10 09:43:28.0 2006-01-10 09:43:34.0 2006-01-10 09:43:45.0 2006-01-10 09:43:45.0 17 17 0 0 3 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 266~~30 690881 11fnXrq9Jf Unit CTA1_08, Section CTA1_08-3 BH1T07 1 XUnit 2006-01-11 14:54:56.0 2006-01-11 14:55:01.0 2006-01-11 14:55:01.0 2006-01-11 14:55:01.0 5 5 1 0 0 1 691448 11fnXrq9Jf Unit ES_04, Section ES_04-14 LIT37A 1 z*y*1/y*1 = -u*y 2006-01-24 09:54:04.0 2006-01-24 09:54:10.0 2006-01-24 09:54:18.0 2006-01-24 09:54:18.0 14 14 0 0 2 1 691811 11fnXrq9Jf Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 ValidEquations 2006-01-25 15:18:28.0 2006-01-25 15:18:52.0 2006-01-25 15:18:52.0 2006-01-25 15:19:33.0 30 30 1 0 0 3 692211 11fnXrq9Jf Unit ES_07, Section ES_07-4 LIT67A 2 d*w1R1 2006-02-02 10:03:11.0 2006-02-02 10:03:15.0 2006-02-02 10:03:15.0 2006-02-02 10:03:15.0 4 4 1 0 0 1 692995 11fnXrq9Jf Unit CTA1_12, Section CTA1_12-6 SYSFB03 1 R7C1 2006-02-17 13:55:23.0 2006-02-17 13:55:25.0 2006-02-17 13:55:25.0 2006-02-17 13:55:25.0 2 2 1 0 0 1 693421 11fnXrq9Jf Unit ES_05, Section ES_05-9 EG62 6 -47.75x+32.27 = -85.77 2006-03-03 09:46:06.0 2006-03-03 09:46:14.0 2006-03-03 09:46:14.0 2006-03-03 09:46:14.0 8 8 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 451 693823 11fnXrq9Jf Unit CTA1_14, Section CTA1_14-4 TPH15 1 -63000 = -4000X 2006-03-23 10:10:57.0 2006-03-23 10:11:03.0 2006-03-23 10:11:03.0 2006-03-23 10:11:03.0 6 6 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 619~~156 694214 11fnXrq9Jf Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT-2X 1 Formula 1 Point 1 2006-04-11 10:19:04.0 2006-04-11 10:19:05.0 2006-04-11 10:19:05.0 2006-04-11 10:19:05.0 1 1 1 0 0 1 Placing coordinate point 39 694572 11fnXrq9Jf Unit CTA1_15, Section CTA1_15-3 SYS07 1 xMax 2006-05-02 10:16:02.0 2006-05-02 10:16:08.0 2006-05-02 10:16:08.0 2006-05-02 10:16:08.0 6 6 1 0 0 1 Changing axis bounds 294 694869 11fnXrq9Jf Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE3TRE 1 R7C2 2006-05-18 09:59:03.0 2006-05-18 09:59:08.0 2006-05-18 09:59:08.0 2006-05-18 09:59:08.0 5 5 1 0 0 1 Entering a computed linear value 55 694924 11fnXrq9Jf Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR16 4 (x+5)(x+8) 2006-06-06 09:50:20.0 2006-06-06 09:50:24.0 2006-06-06 09:50:26.0 6 6 0 0 2 0 695091 1bJbgQ32E3 Unit CTA1_01, Section CTA1_01-3 BH1T33B 3 R4C2 2005-09-20 10:01:25.0 2005-09-20 10:04:28.0 2005-09-20 10:06:05.0 2005-09-20 10:06:05.0 280 280 0 2 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 53~~29~~4 695491 1bJbgQ32E3 Unit CTA1_02, Section CTA1_02-4 REAL28 1 R7C2 2005-10-18 09:41:23.0 2005-10-18 09:41:37.0 2005-10-18 09:41:37.0 2005-10-18 09:48:05.0 44 44 1 0 0 2 Entering a given 125 695879 1bJbgQ32E3 Unit ES_01, Section ES_01-9 EG25 1 x/3 = 5 2005-10-27 10:15:58.0 2005-10-27 10:16:14.0 2005-10-27 10:16:14.0 2005-10-27 10:16:14.0 16 16 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 5~~18 696092 1bJbgQ32E3 Unit CTA1_04, Section CTA1_04-2 BH1T32B 2 R5C1 2005-11-15 09:32:44.0 2005-11-15 09:33:12.0 2005-11-15 09:35:39.0 2005-11-15 09:35:39.0 101 101 0 2 4 1 Entering a given~~Convert unit, standard 177~~15 696396 1bJbgQ32E3 Unit ES_02, Section ES_02-7 EG41 4 -7+(y/-9) = 7 2005-11-29 10:04:41.0 2005-11-29 10:04:53.0 2005-11-29 10:04:53.0 2005-11-29 10:04:53.0 12 12 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 66 696616 1bJbgQ32E3 Unit CTA1_13, Section CTA1_13-1 PROP10 1 R6C1 2005-11-30 15:26:40.0 2005-11-30 15:26:46.0 2005-11-30 15:26:46.0 2005-11-30 15:26:46.0 6 6 1 0 0 1 Entering a given 249 696976 1bJbgQ32E3 Unit CTA1_06, Section CTA1_06-3 FEB13 1 R2C2 2005-12-15 10:13:28.0 2005-12-15 10:13:47.0 2005-12-15 10:13:47.0 2005-12-15 10:13:47.0 19 19 1 0 0 1 Identifying units 117 697598 1bJbgQ32E3 Unit ES_03, Section ES_03-8 LIT6A 1 FinalAnswer 2006-01-19 14:41:45.0 2006-01-19 14:41:50.0 2006-01-19 14:41:50.0 2006-01-19 14:41:50.0 5 5 1 0 0 1 simplify-fractions-sp 3 697822 1bJbgQ32E3 Unit CTA1_08, Section CTA1_08-3 L5FB02 1 R1C2 2006-01-26 15:07:10.0 2006-01-26 15:07:36.0 2006-01-26 15:07:36.0 2006-01-26 15:07:36.0 26 26 1 0 0 1 698274 1bJbgQ32E3 Unit ES_04, Section ES_04-14 LIT32A 6 row1-D-t 2006-02-07 14:38:57.0 2006-02-07 14:39:00.0 2006-02-07 14:39:00.0 2006-02-07 14:39:00.0 3 3 1 0 0 1 698671 1bJbgQ32E3 Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 0.25(H+56) = 55 2006-02-13 13:56:31.0 2006-02-13 13:56:37.0 2006-02-13 13:56:37.0 2006-02-13 13:56:37.0 6 6 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 108 699157 1bJbgQ32E3 Unit ES_07, Section ES_07-4 LIT70A 2 FinalAnswer 2006-02-16 14:02:13.0 2006-02-16 14:02:16.0 2006-02-16 14:02:16.0 2006-02-16 14:04:28.0 27 27 1 0 0 3 combine-like-terms-sp~~factor-sp 85~~23 699620 1bJbgQ32E3 Unit CTA1_12, Section CTA1_12-3 SYS02 1 R5C1 2006-02-23 14:01:20.0 2006-02-23 14:06:55.0 2006-02-23 14:07:17.0 2006-02-23 14:07:17.0 357 357 0 0 3 1 Entering a given 477 700103 1bJbgQ32E3 Unit ES_05, Section ES_05-7 EG61 11 -11.48 = -0.23y 2006-02-28 15:09:33.0 2006-02-28 15:09:42.0 2006-02-28 15:09:42.0 2006-02-28 15:09:42.0 9 9 1 0 0 1 [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 115~~465 700596 1bJbgQ32E3 Unit CTA1_14, Section CTA1_14-4 2PTFB10 1 R8C1 2006-03-08 15:01:28.0 2006-03-08 15:01:31.0 2006-03-08 15:19:55.0 2006-03-08 15:19:55.0 59 59 0 2 0 1 Using simple numbers~~Using small numbers~~Find X, positive slope 365~~341~~128 701144 1bJbgQ32E3 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 7X-4YGE15 1 7*0-4y = 15 2006-03-21 13:52:16.0 2006-03-21 13:52:20.0 2006-03-21 13:52:20.0 2006-03-21 13:52:20.0 4 4 1 0 0 1 701426 1bJbgQ32E3 Unit CTA1_15, Section CTA1_15-3 SYSFB10 1 -90H = -3500+60H 2006-03-22 15:16:53.0 2006-03-22 15:17:21.0 2006-03-22 15:17:36.0 2006-03-22 15:17:36.0 43 43 0 0 3 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 105 701746 1bJbgQ32E3 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE5TRE 2 R6C3 2006-03-27 14:10:07.0 2006-03-27 14:10:23.0 2006-03-27 14:10:23.0 2006-03-27 14:10:23.0 16 16 1 0 0 1 Entering a computed linear value 42 701999 1bJbgQ32E3 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR50 1 c-factor-2 2006-03-28 15:10:40.0 2006-03-28 15:10:42.0 2006-03-28 15:10:48.0 2006-03-28 15:10:48.0 8 8 0 0 1 1 702414 1bJbgQ32E3 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR16 1 (3-3)/8 = x 2006-03-30 13:57:02.0 2006-03-30 13:57:06.0 2006-03-30 13:57:06.0 2006-03-30 13:57:06.0 4 4 1 0 0 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 116 702686 1bJbgQ32E3 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD7TRE 2 a-factor-node 2006-04-06 13:45:13.0 2006-04-06 13:45:17.0 2006-04-06 13:45:17.0 2006-04-06 13:47:59.0 7 7 1 0 0 2 702834 1bJbgQ32E3 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 (3(x^3)(y^6))(2y^4) 2006-04-06 14:23:20.0 2006-04-06 14:23:22.0 2006-04-06 14:23:22.0 2006-04-06 14:23:22.0 2 2 1 0 0 1 702957 1bJbgQ32E3 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 1 row3-D-y 2006-04-12 09:44:32.0 2006-04-12 09:44:41.0 2006-04-12 09:44:53.0 2006-04-12 09:48:16.0 25 25 0 2 0 2 703270 1bJbgQ32E3 Unit CTA1_20, Section CTA1_20-2 BH1T45 1 R2C1 2006-05-25 10:00:22.0 2006-05-25 10:00:31.0 2006-05-25 10:00:31.0 2006-05-25 10:00:31.0 9 9 1 0 0 1 Identifying units 352 703553 242fhbKRf9 Unit CTA1_01, Section CTA1_01-3 L3NOV07A 1 R5C2 2005-09-22 10:16:13.0 2005-09-22 10:16:38.0 2005-09-22 10:16:38.0 2005-09-22 10:16:38.0 25 25 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 65~~40~~10 703820 242fhbKRf9 Unit CTA1_02, Section CTA1_02-3 L3NOV12C 2 R4C2 2005-10-11 13:56:13.0 2005-10-11 13:56:46.0 2005-10-11 13:59:32.0 2005-10-11 13:59:32.0 137 137 0 3 1 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 134~~61~~36 704243 242fhbKRf9 Unit ES_01, Section ES_01-9 EG25 2 -6*9 = y/9*9 2005-10-20 10:08:53.0 2005-10-20 10:08:57.0 2005-10-20 10:09:16.0 2005-10-20 10:09:57.0 64 64 0 0 4 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 8 704623 242fhbKRf9 Unit CTA1_04, Section CTA1_04-3 L2FB15C 1 R7C1 2005-10-27 10:10:22.0 2005-10-27 10:10:42.0 2005-10-27 10:10:42.0 2005-10-27 10:10:42.0 20 20 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 127~~24~~52 705147 242fhbKRf9 Unit ES_02, Section ES_02-8 EG41 1 x1R1 2005-11-03 14:14:08.0 2005-11-03 14:14:16.0 2005-11-03 14:14:16.0 2005-11-03 14:14:16.0 8 8 1 0 0 1 705522 242fhbKRf9 Unit CTA1_13, Section CTA1_13-1 PROP13 1 R6C1 2005-11-17 09:48:25.0 2005-11-17 09:48:29.0 2005-11-17 09:48:58.0 2005-11-17 09:48:58.0 33 33 0 0 4 1 Entering a given~~Convert unit, standard 236~~19 706288 242fhbKRf9 Unit CTA1_06, Section CTA1_06-4 BH1T52 2 yMin 2005-12-08 09:56:22.0 2005-12-08 09:56:57.0 2005-12-08 09:56:57.0 2005-12-08 09:56:57.0 35 35 1 0 0 2 Changing axis bounds 136 706607 242fhbKRf9 Unit ES_03, Section ES_03-6 EG52 2 -0.1x = 6.4 2006-01-05 09:49:09.0 2006-01-05 09:49:20.0 2006-01-05 09:49:20.0 2006-01-05 09:49:20.0 11 11 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 282~~107 706908 242fhbKRf9 Unit CTA1_08, Section CTA1_08-3 NOV13 2 yScale 2006-01-25 08:06:39.0 2006-01-25 08:07:07.0 2006-01-25 08:07:07.0 2006-01-25 08:07:07.0 28 28 1 0 0 1 Changing axis intervals 96 707370 242fhbKRf9 Unit ES_04, Section ES_04-12 EG58 9 x2R1 2006-02-07 09:54:41.0 2006-02-07 09:54:44.0 2006-02-07 09:54:44.0 2006-02-07 09:54:44.0 3 3 1 0 0 1 707911 242fhbKRf9 Unit CTA1_10, Section CTA1_10-4 DISTFB07_SP 1 R3C1 2006-03-08 08:09:56.0 2006-03-08 08:10:37.0 2006-03-08 08:10:37.0 2006-03-08 08:10:37.0 41 41 1 0 0 1 Define Variable 140 708431 242fhbKRf9 Unit ES_07, Section ES_07-6 LIT78A 1 FinalAnswer 2006-03-29 07:57:06.0 2006-03-29 07:57:20.0 2006-03-29 07:57:48.0 2006-03-29 07:57:48.0 42 42 0 1 0 1 factor-sp 16 708857 242fhbKRf9 Unit CTA1_12, Section CTA1_12-6 SYS01 2 R6C2 2006-05-04 09:54:04.0 2006-05-04 09:54:20.0 2006-05-04 09:55:13.0 36 36 0 2 0 0 709122 242fhbKRf9 Unit ES_05, Section ES_05-9 EG62A 1 -2571.09-510.12x = -7019.65 2006-05-18 08:31:15.0 2006-05-18 08:31:55.0 2006-05-18 08:31:55.0 2006-05-18 08:31:55.0 40 40 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 466~~90 709438 242fhbKRf9 Unit CTA1_14, Section CTA1_14-3 2PTFB15 2 R7C1 2006-06-01 07:57:58.0 2006-06-01 07:58:40.0 2006-06-01 07:58:40.0 2006-06-01 07:58:40.0 42 42 1 0 0 1 Entering a given 567 709655 31ApG55XoV Unit CTA1_01, Section CTA1_01-4 L1FB12 1 R2C2 2005-12-15 09:53:53.0 2005-12-15 09:54:01.0 2005-12-15 09:54:01.0 2005-12-15 09:54:01.0 8 8 1 0 0 1 Identifying units 32 709974 31ApG55XoV Unit CTA1_02, Section CTA1_02-4 REAL19 2 R2C2 2006-02-14 13:14:38.0 2006-02-14 13:14:46.0 2006-02-14 13:14:46.0 2006-02-14 13:14:46.0 8 8 1 0 0 1 Identifying units 64 710270 31ApG55XoV Unit ES_01, Section ES_01-10 EG27 3 -y/-1 = 4/-1 2006-04-21 13:01:59.0 2006-04-21 13:02:26.0 2006-04-21 13:02:26.0 2006-04-21 13:02:26.0 27 27 1 0 0 1 710490 31ApG55XoV Unit CTA1_04, Section CTA1_04-3 BH1T41C 1 ValidEquations 2006-05-05 12:22:35.0 2006-05-05 12:23:38.0 2006-05-05 12:23:38.0 2006-05-05 12:24:36.0 75 75 1 0 0 3 710748 31ApG55XoV Unit ES_02, Section ES_02-5 EG40 11 -8 = 4-1y 2006-05-17 10:11:19.0 2006-05-17 10:12:11.0 2006-05-17 10:12:11.0 2006-05-17 10:12:11.0 52 52 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 53 710972 31ApG55XoV Unit CTA1_13, Section CTA1_13-1 PROP01 1 R1C2 2006-05-22 08:56:06.0 2006-05-22 08:56:38.0 2006-05-22 08:56:38.0 2006-05-22 08:56:38.0 32 32 1 0 0 1 711244 31ApG55XoV Unit CTA1_06, Section CTA1_06-2 FEB01 1 R6C2 2006-06-05 09:12:58.0 2006-06-05 09:13:09.0 2006-06-05 09:14:07.0 2006-06-05 09:14:07.0 59 59 0 3 3 1 Entering a given 278 711537 3C1dH8H8v3 Unit CTA1_01, Section CTA1_01-3 DEC03 1 R1C2 2005-09-08 09:41:50.0 2005-09-08 09:42:39.0 2005-09-08 09:42:53.0 2005-09-08 09:42:53.0 63 63 0 1 0 1 711785 3C1dH8H8v3 Unit CTA1_02, Section CTA1_02-4 BH1T29C 2 R5C2 2005-09-20 09:37:31.0 2005-09-20 09:37:45.0 2005-09-20 09:37:45.0 2005-09-20 09:37:45.0 14 14 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 121~~59~~14 712000 3C1dH8H8v3 Unit ES_01, Section ES_01-6 EG22 1 7 = x-4+4 2005-09-27 09:42:39.0 2005-09-27 09:42:43.0 2005-09-27 09:42:43.0 2005-09-27 09:42:43.0 4 4 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 23 712260 3C1dH8H8v3 Unit CTA1_04, Section CTA1_04-4 BH1T47 1 R3C1 2005-10-11 09:56:00.0 2005-10-11 09:56:08.0 2005-10-11 09:56:08.0 2005-10-11 09:56:08.0 8 8 1 0 0 1 Define Variable 44 712525 3C1dH8H8v3 Unit ES_02, Section ES_02-10 EG44 6 -7/x*x = 4x 2005-10-13 10:12:32.0 2005-10-13 10:12:40.0 2005-10-13 10:12:40.0 2005-10-13 10:12:45.0 13 13 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 29 712659 3C1dH8H8v3 Unit CTA1_13, Section CTA1_13-1 PROP10 1 P*2/25 = 10 2005-10-13 15:04:19.0 2005-10-13 15:04:25.0 2005-10-13 15:04:25.0 2005-10-13 15:04:25.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 49~~91 713177 3C1dH8H8v3 Unit CTA1_06, Section CTA1_06-4 L6FB18 1 3.75M = 750 2005-11-01 10:06:35.0 2005-11-01 10:06:41.0 2005-11-01 10:06:41.0 2005-11-01 10:06:41.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 80~~128 713501 3C1dH8H8v3 Unit ES_03, Section ES_03-6 EG51A 1 -34.8-32.8 = -15.4y+32.8-32.8 2005-11-15 09:40:55.0 2005-11-15 09:41:02.0 2005-11-15 09:41:02.0 2005-11-15 09:41:54.0 59 59 1 1 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 24 713846 3C1dH8H8v3 Unit CTA1_08, Section CTA1_08-3 L5FB02 1 YUnit 2005-11-23 10:05:07.0 2005-11-23 10:05:12.0 2005-11-23 10:05:12.0 2005-11-23 10:05:12.0 5 5 1 0 0 1 714213 3C1dH8H8v3 Unit ES_04, Section ES_04-14 LIT32A 1 -k = c*t 2005-12-08 10:23:16.0 2005-12-08 10:23:26.0 2005-12-08 10:23:26.0 2005-12-08 10:23:26.0 10 10 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 250 714328 3C1dH8H8v3 Unit CTA1_10, Section CTA1_10-1 LDEMO_DIST_SP 1 56488+C*2456 = 85960 2005-12-21 10:24:44.0 2005-12-21 10:24:55.0 2005-12-21 10:25:13.0 2005-12-21 10:25:13.0 29 29 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 206 714480 45TTYcotWk Unit CTA1_01, Section CTA1_01-3 BH1T27B 1 R1C2 2005-09-01 13:45:48.0 2005-09-01 13:46:09.0 2005-09-01 13:46:09.0 2005-09-01 13:46:09.0 21 21 1 0 0 1 714790 45TTYcotWk Unit CTA1_02, Section CTA1_02-3 BH1T39A 1 R7C1 2005-09-20 10:16:26.0 2005-09-20 10:16:38.0 2005-09-20 10:16:44.0 2005-09-20 10:21:28.0 24 24 0 0 2 2 Entering a given 97 715151 45TTYcotWk Unit ES_01, Section ES_01-8 EG25 1 10 = y/5*5 2005-10-06 09:44:22.0 2005-10-06 09:44:30.0 2005-10-06 09:44:30.0 2005-10-06 09:44:30.0 8 8 1 0 0 1 715490 45TTYcotWk Unit CTA1_04, Section CTA1_04-4 L5FB04A 1 R1C1 2005-10-18 09:58:00.0 2005-10-18 09:58:22.0 2005-10-18 09:58:22.0 2005-10-18 09:58:22.0 22 22 1 0 0 1 715935 45TTYcotWk Unit ES_02, Section ES_02-10 EG44 2 7x = 2 2005-11-03 09:57:18.0 2005-11-03 09:57:31.0 2005-11-03 09:57:31.0 2005-11-03 09:57:31.0 13 13 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 46~~133 716090 45TTYcotWk Unit CTA1_13, Section CTA1_13-1 PROP10 1 R3C2 2005-11-15 09:55:42.0 2005-11-15 09:56:03.0 2005-11-15 09:56:03.0 2005-11-15 09:56:03.0 21 21 1 0 0 1 Using small numbers~~Using difficult numbers~~Write expression, ratio 159~~72~~1 716861 45TTYcotWk Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 xScale 2006-01-03 09:57:46.0 2006-01-03 09:57:52.0 2006-01-03 09:57:52.0 2006-01-03 09:57:52.0 6 6 1 0 0 1 Changing axis intervals 79 717032 45TTYcotWk Unit ES_03, Section ES_03-5 EG51A 1 -62.7y+4.8-4.8 = 23.2 2006-01-05 10:02:24.0 2006-01-05 10:02:27.0 2006-01-05 10:02:27.0 2006-01-05 10:02:27.0 3 3 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 109 717331 45TTYcotWk Unit CTA1_08, Section CTA1_08-3 NOV13 1 Formula 1 Coeff 1 2006-01-12 09:54:49.0 2006-01-12 09:54:54.0 2006-01-12 09:55:42.0 2006-01-12 09:55:42.0 53 53 0 8 7 1 Setting the slope 13 718062 45TTYcotWk Unit ES_04, Section ES_04-15 LIT59 2 b+r*(x+y) = v-s 2006-02-16 09:52:44.0 2006-02-16 09:52:50.0 2006-02-16 09:52:50.0 2006-02-16 09:52:57.0 13 13 1 0 0 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 115~~273 718376 45TTYcotWk Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 R2C1 2006-03-07 09:59:56.0 2006-03-07 09:59:59.0 2006-03-07 09:59:59.0 2006-03-07 09:59:59.0 3 3 1 0 0 1 Identifying units 189 718717 45TTYcotWk Unit ES_07, Section ES_07-4 LIT64A 3 j*c1R1 2006-03-28 08:26:57.0 2006-03-28 08:27:07.0 2006-03-28 08:27:07.0 2006-03-28 08:27:07.0 10 10 1 0 0 1 719099 45TTYcotWk Unit CTA1_12, Section CTA1_12-4 SYSFB04 2 85H = 935 2006-04-20 09:49:23.0 2006-04-20 09:49:27.0 2006-04-20 09:49:27.0 2006-04-20 09:49:27.0 4 4 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 183~~488 719655 45TTYcotWk Unit ES_05, Section ES_05-8 EG61 10 0.83/-0.82 = -0.82y/-0.82 2006-05-17 10:09:15.0 2006-05-17 10:09:25.0 2006-05-17 10:09:25.0 2006-05-17 10:09:39.0 24 24 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 196 719912 45TTYcotWk Unit CTA1_14, Section CTA1_14-2 1PTFB13 1 R3C2 2006-05-25 10:05:05.0 2006-05-25 10:12:21.0 2006-05-25 10:12:21.0 2006-05-25 10:12:21.0 436 436 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, initial and point 339~~341~~6 720111 4X3016rdOZ Unit CTA1_01, Section CTA1_01-3 BH1T19C 1 R4C2 2005-09-08 11:37:31.0 2005-09-08 11:37:36.0 2005-09-08 11:37:53.0 2005-09-08 11:37:53.0 22 22 0 0 2 1 Using simple numbers~~Using small numbers~~Find Y, positive slope 61~~27~~6 720499 4X3016rdOZ Unit CTA1_02, Section CTA1_02-4 REAL19A 1 xScale 2005-09-13 11:22:47.0 2005-09-13 11:22:49.0 2005-09-13 11:22:49.0 2005-09-13 11:22:49.0 2 2 1 0 0 1 Changing axis intervals 23 720685 4X3016rdOZ Unit ES_01, Section ES_01-6 EG21 1 y+9 = -3 2005-09-14 11:38:11.0 2005-09-14 11:38:18.0 2005-09-14 11:38:37.0 2005-09-14 11:38:37.0 26 26 0 1 3 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 1~~1 720817 4X3016rdOZ Unit CTA1_01, Section CTA1_01-3 JAN11 1 R4C1 2005-09-20 11:21:48.0 2005-09-20 11:21:53.0 2005-09-20 11:26:01.0 2005-09-20 11:26:01.0 181 181 0 31 11 1 Entering a given 144 721226 4X3016rdOZ Unit CTA1_02, Section CTA1_02-4 REAL28 2 R3C2 2005-10-18 09:46:28.0 2005-10-18 09:46:46.0 2005-10-18 09:46:54.0 2005-10-18 09:46:54.0 26 26 0 1 0 1 Using simple numbers~~Using small numbers~~Write expression, negative slope 288~~146~~16 721412 4X3016rdOZ Unit ES_01, Section ES_01-7 EG22 6 FinalAnswer 2005-10-21 11:38:11.0 2005-10-21 11:38:17.0 2005-10-21 11:38:20.0 2005-10-21 11:42:05.0 54 54 0 4 3 4 combine-like-terms-sp 34 721663 4X3016rdOZ Unit CTA1_04, Section CTA1_04-3 BH1T41 1 R3C1 2005-11-01 11:35:55.0 2005-11-01 11:35:57.0 2005-11-01 11:35:57.0 2005-11-01 11:35:57.0 2 2 1 0 0 1 Define Variable 79 722066 4X3016rdOZ Unit ES_02, Section ES_02-9 EG44 1 -9 = 5x 2005-11-10 10:02:07.0 2005-11-10 10:02:36.0 2005-11-10 10:02:50.0 2005-11-10 10:02:50.0 43 43 0 1 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 44~~79 722298 4X3016rdOZ Unit CTA1_13, Section CTA1_13-1 PROP09 1 1/6*Q = 700 2005-11-11 11:02:59.0 2005-11-11 11:03:03.0 2005-11-11 11:03:03.0 2005-11-11 11:03:03.0 4 4 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 103 722901 4X3016rdOZ Unit CTA1_06, Section CTA1_06-4 L6FB07 1 6.44B = 2175 2005-11-18 11:03:12.0 2005-11-18 11:03:19.0 2005-11-18 11:03:19.0 2005-11-18 11:03:19.0 7 7 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 91~~149 723413 4X3016rdOZ Unit ES_03, Section ES_03-5 EG53 1 5.2 = 8.3y-7.6+7.6 2005-11-30 14:58:11.0 2005-11-30 14:58:15.0 2005-11-30 14:58:15.0 2005-11-30 14:58:15.0 4 4 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 128 723861 4X3016rdOZ Unit CTA1_08, Section CTA1_08-3 NOV13 1 Intercept Field 1 2005-12-07 14:50:58.0 2005-12-07 14:51:12.0 2005-12-07 14:51:12.0 2005-12-07 14:51:12.0 14 14 1 0 0 1 Entering the y-intercept 14 724349 4X3016rdOZ Unit ES_04, Section ES_04-14 LIT23A 1 n*j+56 = r 2005-12-20 10:21:16.0 2005-12-20 10:21:47.0 2005-12-20 10:21:54.0 2005-12-20 10:21:54.0 38 38 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 262 724854 4X3016rdOZ Unit CTA1_10, Section CTA1_10-6 DISTFB11_SP 1 1470+7(H-30) = 2150 2006-01-13 12:13:00.0 2006-01-13 12:13:03.0 2006-01-13 12:13:20.0 2006-01-13 12:13:20.0 20 20 0 3 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 325 725279 4X3016rdOZ Unit ES_07, Section ES_07-6 LIT82A 3 j*(w*m+w) = x*j 2006-01-31 14:46:55.0 2006-01-31 14:47:21.0 2006-01-31 14:49:36.0 2006-01-31 14:49:36.0 161 161 0 4 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] 423~~11 725678 4X3016rdOZ Unit CTA1_12, Section CTA1_12-5 SYSFB25 1 R4C1 2006-02-07 11:24:05.0 2006-02-07 11:24:19.0 2006-02-07 11:24:19.0 2006-02-07 11:24:19.0 14 14 1 0 0 1 Entering a given 579 726285 4X3016rdOZ Unit ES_05, Section ES_05-10 EG62A 1 430.42y = -701.75y+3259.5-5028.05 2006-02-28 07:47:00.0 2006-02-28 07:47:15.0 2006-02-28 07:47:15.0 2006-02-28 07:47:15.0 15 15 1 0 0 1 726940 4X3016rdOZ Unit CTA1_14, Section CTA1_14-4 IPCCHEF 1 R3C1 2006-04-04 09:49:05.0 2006-04-04 09:49:14.0 2006-04-04 09:49:14.0 2006-04-04 09:49:14.0 9 9 1 0 0 1 Define Variable 204 727434 4X3016rdOZ Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLE-3X-13 2 yScale 2006-05-04 10:07:44.0 2006-05-04 10:08:40.0 2006-05-04 10:08:40.0 2006-05-04 10:08:40.0 56 56 1 0 0 1 727525 4X3016rdOZ Unit CTA1_15, Section CTA1_15-2 SYSFB18 2 300D = 17385 2006-05-23 10:13:33.0 2006-05-23 10:13:40.0 2006-05-23 10:13:52.0 2006-05-23 10:13:52.0 19 19 0 1 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 287~~656 727647 80nlN05JQ6 Unit CTA1_01, Section CTA1_01-3 BH1T27A 1 R5C1 2005-09-06 09:46:42.0 2005-09-06 09:46:51.0 2005-09-06 09:46:51.0 2005-09-06 09:46:51.0 9 9 1 0 0 1 Entering a given 27 728018 80nlN05JQ6 Unit CTA1_02, Section CTA1_02-4 L2FB14B 1 R7C1 2005-09-27 10:01:53.0 2005-09-27 10:03:08.0 2005-09-27 10:03:08.0 2005-09-27 10:03:08.0 75 75 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, negative slope 130~~61~~3 728368 80nlN05JQ6 Unit ES_01, Section ES_01-8 EG25 2 x/8*8 = -1*8 2005-10-06 09:52:41.0 2005-10-06 09:52:47.0 2005-10-06 09:52:55.0 2005-10-06 09:52:55.0 14 14 0 1 0 1 728667 80nlN05JQ6 Unit CTA1_04, Section CTA1_04-3 L2FB15C 1 R3C2 2005-10-18 09:53:47.0 2005-10-18 09:53:50.0 2005-10-18 09:54:32.0 2005-10-18 09:54:32.0 45 45 0 1 5 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 113~~40~~43 729082 80nlN05JQ6 Unit ES_02, Section ES_02-10 EG44 12 5x/5 = 3/5 2005-11-01 09:52:32.0 2005-11-01 09:52:37.0 2005-11-01 09:52:55.0 2005-11-01 09:52:58.0 26 26 0 1 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 46 729214 80nlN05JQ6 Unit CTA1_13, Section CTA1_13-1 PROP06 1 R3C1 2005-11-03 09:42:18.0 2005-11-03 09:42:22.0 2005-11-03 09:42:22.0 2005-11-03 09:42:22.0 4 4 1 0 0 1 Define Variable 59 729637 80nlN05JQ6 Unit CTA1_06, Section CTA1_06-3 FOR05 2 R3C2 2005-11-23 09:35:46.0 2005-11-23 09:35:58.0 2005-11-23 09:35:58.0 2005-11-23 09:35:58.0 12 12 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 193~~65~~108 730299 80nlN05JQ6 Unit ES_03, Section ES_03-7 LIT10 1 a-f = 0 2005-12-21 11:16:33.0 2005-12-21 11:16:39.0 2005-12-21 11:16:39.0 2005-12-21 11:16:39.0 6 6 1 0 0 1 730534 80nlN05JQ6 Unit CTA1_08, Section CTA1_08-3 NOV13 1 R1C1 2006-01-05 10:03:36.0 2006-01-05 10:04:41.0 2006-01-05 10:04:41.0 2006-01-05 10:04:41.0 65 65 1 0 0 1 731164 80nlN05JQ6 Unit ES_04, Section ES_04-15 LIT60 1 n*b*u+n*b*q-n*b*u = c*w-n*b*u 2006-02-02 09:48:34.0 2006-02-02 09:48:37.0 2006-02-02 09:48:37.0 2006-02-02 09:48:37.0 3 3 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 121 731477 80nlN05JQ6 Unit CTA1_10, Section CTA1_10-4 DISTFB07_SP 2 R1C2 2006-02-09 13:43:09.0 2006-02-09 13:43:48.0 2006-02-09 13:43:48.0 2006-02-09 13:43:48.0 39 39 1 0 0 1 731817 80nlN05JQ6 Unit ES_07, Section ES_07-4 LIT68A 2 6h/6 = (c*g+8z+2j)/6 2006-02-16 09:57:04.0 2006-02-16 09:57:16.0 2006-02-16 09:57:16.0 2006-02-16 09:57:39.0 35 35 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 169 732228 80nlN05JQ6 Unit CTA1_12, Section CTA1_12-4 SYSFB23 1 R3C2 2006-03-07 10:15:02.0 2006-03-07 10:15:45.0 2006-03-07 10:16:08.0 2006-03-07 10:16:08.0 66 66 0 0 5 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 269~~298~~125 732792 80nlN05JQ6 Unit ES_05, Section ES_05-10 EG62A 1 -1130.63x = 8477.4 2006-03-29 08:32:25.0 2006-03-29 08:32:35.0 2006-03-29 08:32:35.0 2006-03-29 08:32:35.0 10 10 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 583~~168 733265 80nlN05JQ6 Unit CTA1_14, Section CTA1_14-4 IPCTURDUCKEN 1 R6C2 2006-04-06 10:00:55.0 2006-04-06 10:00:58.0 2006-04-06 10:00:58.0 2006-04-06 10:00:58.0 3 3 1 0 0 1 Entering a given 557 733494 80nlN05JQ6 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 XGE0 1 XCoordinate1_1 2006-04-11 10:18:54.0 2006-04-11 10:18:58.0 2006-04-11 10:18:58.0 2006-04-11 10:18:58.0 4 4 1 0 0 1 Positive Constants, GLF 11 733855 80nlN05JQ6 Unit CTA1_15, Section CTA1_15-3 SYS09 1 -22000M = -450000 2006-04-18 10:07:45.0 2006-04-18 10:07:52.0 2006-04-18 10:07:52.0 2006-04-18 10:07:52.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 686~~212 734017 80nlN05JQ6 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE7TRE 1 R2C3 2006-04-20 09:48:38.0 2006-04-20 09:48:41.0 2006-04-20 09:48:41.0 2006-04-20 09:48:41.0 3 3 1 0 0 1 Identifying units 310 734182 80nlN05JQ6 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR44 1 a-factor-1 2006-04-25 10:13:49.0 2006-04-25 10:13:53.0 2006-04-25 10:13:53.0 2006-04-25 10:14:27.0 9 9 1 0 0 3 734606 80nlN05JQ6 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR13 1 (8?sqrt(8^2-4*7*1))/14 = x 2006-05-04 10:18:17.0 2006-05-04 10:18:21.0 2006-05-04 10:18:21.0 2006-05-04 10:18:21.0 4 4 1 0 0 1 734889 80nlN05JQ6 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD6TRE 1 num1-factor-node 2006-05-23 10:10:27.0 2006-05-23 10:10:35.0 2006-05-23 10:10:40.0 2006-05-23 10:10:40.0 13 13 0 1 0 1 qft-num1-sp 26 735171 9EAa0nJjb1 Unit CTA1_01, Section CTA1_01-4 REAL32A 1 R5C1 2005-09-20 10:01:46.0 2005-09-20 10:01:53.0 2005-09-20 10:01:53.0 2005-09-20 10:01:53.0 7 7 1 0 0 1 Entering a given 56 735415 9EAa0nJjb1 Unit CTA1_02, Section CTA1_02-4 BH1T29B 1 R2C1 2005-09-29 09:57:56.0 2005-09-29 09:58:05.0 2005-09-29 09:58:05.0 2005-09-29 09:58:05.0 9 9 1 0 0 1 Identifying units 54 735671 9EAa0nJjb1 Unit ES_01, Section ES_01-7 EG22 1 -2 = -3+y+3 2005-10-11 10:16:06.0 2005-10-11 10:16:12.0 2005-10-11 10:16:12.0 2005-10-11 10:16:12.0 6 6 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 45 736050 9EAa0nJjb1 Unit CTA1_04, Section CTA1_04-4 L5FB04C 1 -8-c = 16 2005-10-25 10:22:04.0 2005-10-25 10:22:19.0 2005-10-25 10:22:28.0 2005-10-25 10:22:28.0 24 24 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 39~~3 736275 9EAa0nJjb1 Unit ES_02, Section ES_02-7 EG41 4 y/-3 = 7 2005-11-03 09:50:04.0 2005-11-03 09:50:15.0 2005-11-03 09:50:15.0 2005-11-03 09:50:15.0 11 11 1 0 0 1 [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 33~~74 736570 9EAa0nJjb1 Unit CTA1_13, Section CTA1_13-1 PROP10 1 R5C2 2005-11-15 09:59:48.0 2005-11-15 09:59:59.0 2005-11-15 09:59:59.0 2005-11-15 09:59:59.0 11 11 1 0 0 1 Entering a given 219 737118 9EAa0nJjb1 Unit CTA1_06, Section CTA1_06-4 JAN09 1 R5C2 2005-11-30 08:13:49.0 2005-11-30 08:16:42.0 2005-11-30 08:16:42.0 2005-11-30 08:16:42.0 173 173 1 0 0 1 Entering a given 311 737650 9EAa0nJjb1 Unit ES_03, Section ES_03-8 LIT4A 1 row3-N-j 2005-12-20 10:09:26.0 2005-12-20 10:09:35.0 2005-12-20 10:09:35.0 2005-12-20 10:09:35.0 9 9 1 0 0 1 737877 9EAa0nJjb1 Unit CTA1_08, Section CTA1_08-3 DEC04 1 R3C2 2006-01-05 10:15:30.0 2006-01-05 10:16:40.0 2006-01-05 10:17:39.0 2006-01-05 10:17:39.0 129 129 0 4 5 1 Using small numbers~~Using difficult numbers~~Write expression, initial and change 214~~108~~1 738746 9EAa0nJjb1 Unit ES_04, Section ES_04-15 LIT55 1 (y-3) = m*(x-7) 2006-02-02 09:49:06.0 2006-02-02 09:49:24.0 2006-02-02 09:49:52.0 2006-02-02 09:49:52.0 46 46 0 2 3 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] 286~~6 739002 9EAa0nJjb1 Unit CTA1_10, Section CTA1_10-4 FOR08_SP 1 R2C2 2006-02-16 09:55:22.0 2006-02-16 09:55:26.0 2006-02-16 09:55:26.0 2006-02-16 09:55:26.0 4 4 1 0 0 1 Identifying units 172 739470 9EAa0nJjb1 Unit ES_07, Section ES_07-6 LIT80A 2 FinalAnswer 2006-03-24 09:41:38.0 2006-03-24 09:41:47.0 2006-03-24 09:41:47.0 2006-03-24 09:41:47.0 9 9 1 0 0 1 factor-sp 15 739887 9EAa0nJjb1 Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 yMin 2006-04-11 10:21:36.0 2006-04-11 10:21:40.0 2006-04-11 10:21:40.0 2006-04-11 10:21:40.0 4 4 1 0 0 1 Changing axis bounds 234 740397 9EAa0nJjb1 Unit ES_05, Section ES_05-10 EG62 5 -68.15y = 20.88-35.34y+27.7 2006-05-18 10:03:35.0 2006-05-18 10:04:31.0 2006-05-18 10:04:31.0 2006-05-18 10:04:31.0 56 56 1 0 0 1 740528 9EAa0nJjb1 Unit CTA1_14, Section CTA1_14-2 1PTFB15 1 R3C1 2006-05-26 08:16:18.0 2006-05-26 08:16:20.0 2006-05-26 08:16:20.0 2006-05-26 08:16:20.0 2 2 1 0 0 1 Define Variable 152 740773 Dmq6441349 Unit CTA1_01, Section CTA1_01-3 L5FB03 1 R3C1 2005-09-08 09:48:07.0 2005-09-08 09:48:11.0 2005-09-08 09:48:11.0 2005-09-08 09:48:11.0 4 4 1 0 0 1 Define Variable 19 741034 Dmq6441349 Unit CTA1_02, Section CTA1_02-4 REAL19 1 R3C1 2005-09-20 09:56:37.0 2005-09-20 09:56:40.0 2005-09-20 09:56:40.0 2005-09-20 09:56:40.0 3 3 1 0 0 1 Define Variable 33 741248 Dmq6441349 Unit ES_01, Section ES_01-5 EG16 1 9(7-6.7) = y 2005-09-29 09:41:27.0 2005-09-29 09:41:33.0 2005-09-29 09:41:33.0 2005-09-29 09:41:33.0 6 6 1 0 0 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 36 741485 Dmq6441349 Unit CTA1_04, Section CTA1_04-3 PERCENT14C 1 R1C1 2005-10-04 10:18:22.0 2005-10-04 10:18:39.0 2005-10-04 10:18:39.0 2005-10-04 10:18:39.0 17 17 1 0 0 1 741685 Dmq6441349 Unit ES_02, Section ES_02-5 EG40 6 -6-5y = -3 2005-10-13 09:53:01.0 2005-10-13 09:53:09.0 2005-10-13 09:53:09.0 2005-10-13 09:53:09.0 8 8 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 43~~12 741872 Dmq6441349 Unit CTA1_13, Section CTA1_13-1 PROP02 1 B/5 = 40 2005-10-18 09:47:54.0 2005-10-18 09:48:00.0 2005-10-18 09:48:00.0 2005-10-18 09:48:00.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 35~~70 742370 Dmq6441349 Unit CTA1_06, Section CTA1_06-3 BH1T42 1 -100+4S = -50 2005-11-01 10:14:20.0 2005-11-01 10:14:29.0 2005-11-01 10:14:29.0 2005-11-01 10:14:29.0 9 9 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 86~~24 742757 Dmq6441349 Unit ES_03, Section ES_03-7 LIT12 1 k-3 = h 2005-11-10 10:19:42.0 2005-11-10 10:19:50.0 2005-11-10 10:19:58.0 2005-11-10 10:19:58.0 16 16 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 117~~11 743034 Dmq6441349 Unit CTA1_08, Section CTA1_08-3 PERCENT12 1 Slope Field 1 2005-12-01 10:03:56.0 2005-12-01 10:03:58.0 2005-12-01 10:04:18.0 2005-12-01 10:04:18.0 14 14 0 2 0 1 Entering the slope 15 743435 Dmq6441349 Unit ES_04, Section ES_04-14 LIT28A 1 row3-N-c 2005-12-20 10:15:43.0 2005-12-20 10:15:47.0 2005-12-20 10:15:52.0 2005-12-20 10:15:52.0 9 9 0 1 0 1 743701 Dmq6441349 Unit CTA1_10, Section CTA1_10-4 DISTFB07_SP 1 13.5G-540 = 4158 2006-01-26 09:45:39.0 2006-01-26 09:45:44.0 2006-01-26 09:45:44.0 2006-01-26 09:45:44.0 5 5 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 207~~70 743944 Dmq6441349 Unit ES_07, Section ES_07-4 LIT67A 1 FinalAnswer 2006-02-02 10:16:43.0 2006-02-02 10:17:03.0 2006-02-02 10:17:03.0 2006-02-02 10:17:03.0 20 20 1 0 0 1 factor-sp 12 744316 Dmq6441349 Unit CTA1_12, Section CTA1_12-5 SYSFB24 1 R6C1 2006-03-24 09:49:07.0 2006-03-24 09:49:13.0 2006-03-24 09:49:13.0 2006-03-24 09:49:13.0 6 6 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, negative slope 289~~168~~22 744557 Dmq6441349 Unit ES_05, Section ES_05-10 EG62A 3 314.02y = 2267.42-896.63y 2006-03-28 10:16:29.0 2006-03-28 10:16:44.0 2006-03-28 10:16:44.0 2006-03-28 10:16:44.0 15 15 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 46 744835 Dmq6441349 Unit CTA1_14, Section CTA1_14-3 2PTFB15 1 R2C2 2006-05-05 10:18:57.0 2006-05-05 10:19:01.0 2006-05-05 10:19:01.0 2006-05-05 10:19:01.0 4 4 1 0 0 1 Identifying units 224 745207 e7uv9PqtYY Unit CTA1_01, Section CTA1_01-3 BH1T33C 1 R5C1 2005-09-13 10:14:28.0 2005-09-13 10:14:45.0 2005-09-13 10:15:44.0 2005-09-13 10:15:44.0 76 76 0 3 1 1 Entering a given 38 745544 e7uv9PqtYY Unit CTA1_02, Section CTA1_02-3 L3NOV12C 1 R5C2 2005-10-06 10:07:24.0 2005-10-06 10:07:46.0 2005-10-06 10:07:46.0 2005-10-06 10:07:46.0 22 22 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 136~~71~~38 745843 e7uv9PqtYY Unit ES_01, Section ES_01-8 EG26 1 -5*-3 = x 2005-10-20 10:15:05.0 2005-10-20 10:15:09.0 2005-10-20 10:15:09.0 2005-10-20 10:15:09.0 4 4 1 0 0 1 746054 e7uv9PqtYY Unit CTA1_04, Section CTA1_04-3 L2FB15A 1 X*0.21-5.26 = 15.74 2005-11-17 09:49:13.0 2005-11-17 09:49:27.0 2005-11-17 09:49:27.0 2005-11-17 09:49:27.0 14 14 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 26~~4 746307 eD0u9WOep7 Unit CTA1_01, Section CTA1_01-4 JAN13C 1 R3C1 2006-04-18 09:55:51.0 2006-04-18 09:56:02.0 2006-04-18 09:56:02.0 2006-04-18 09:56:02.0 11 11 1 0 0 1 Define Variable 20 746572 eD0u9WOep7 Unit CTA1_02, Section CTA1_02-4 L2FB14C 1 R1C2 2006-05-04 10:16:56.0 2006-05-04 10:17:47.0 2006-05-04 10:17:47.0 2006-05-04 10:17:47.0 51 51 1 0 0 1 746741 eD0u9WOep7 Unit ES_01, Section ES_01-6 EG22 2 7 = x-6 2006-05-17 09:40:51.0 2006-05-17 09:41:43.0 2006-05-17 09:41:43.0 2006-05-17 09:41:43.0 52 52 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 4~~2 746826 eD0u9WOep7 Unit CTA1_04, Section CTA1_04-2 BH1T36B 2 R4C1 2006-05-18 09:51:38.0 2006-05-18 09:51:53.0 2006-05-18 09:51:53.0 2006-05-18 09:51:53.0 15 15 1 0 0 1 Entering a given 110 746829 eD0u9WOep7 Unit ES_01, Section ES_01-11 EG27 3 -4/-1 = -x/-1 2006-05-18 09:55:20.0 2006-05-18 09:55:25.0 2006-05-18 09:55:25.0 2006-05-18 09:55:54.0 34 34 1 0 0 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] 3 747047 eD0u9WOep7 Unit CTA1_04, Section CTA1_04-3 DEC01C 1 R6C1 2006-05-26 10:01:58.0 2006-05-26 10:02:02.0 2006-05-26 10:02:02.0 2006-05-26 10:02:02.0 4 4 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 110~~14~~41 747102 EpDb06UO89 Unit CTA1_01, Section CTA1_01-2 RXMX1 1 R6C1 2005-11-11 11:58:21.0 2005-11-11 11:58:31.0 2005-11-11 11:58:38.0 2005-11-11 11:58:38.0 17 17 0 1 0 1 Using simple numbers~~Using small numbers~~Find X, Simple 10~~10~~1 747122 EpDb06UO89 Unit ES_02, Section ES_02-1 EG2-FIXED 1 y = 8/2 2005-11-11 12:21:53.0 2005-11-11 12:21:57.0 2005-11-11 12:21:57.0 2005-11-11 12:21:57.0 4 4 1 0 0 1 747149 EpDb06UO89 Unit CTA1_02, Section CTA1_02-1 LDEMO_GRPH 1 Point 1.1 2005-11-11 12:34:03.0 2005-11-11 12:34:52.0 2005-11-11 12:34:52.0 49 49 0 0 1 0 Correctly placing points 1 747360 f45jOmRd4S Unit CTA1_01, Section CTA1_01-4 REAL32C 1 R4C1 2005-09-29 09:56:39.0 2005-09-29 09:57:05.0 2005-09-29 09:57:05.0 2005-09-29 09:57:05.0 26 26 1 0 0 1 Entering a given 51 747616 f45jOmRd4S Unit CTA1_02, Section CTA1_02-3 L3NOV12C 1 yScale 2005-10-25 10:18:09.0 2005-10-25 10:18:40.0 2005-10-25 10:18:40.0 2005-10-25 10:18:59.0 50 50 1 0 0 4 Changing axis intervals 12 747874 f45jOmRd4S Unit ES_01, Section ES_01-8 EG24 3 -6/-8 = x 2005-11-15 09:54:10.0 2005-11-15 09:54:18.0 2005-11-15 09:54:18.0 2005-11-15 09:54:18.0 8 8 1 0 0 1 748102 f45jOmRd4S Unit CTA1_04, Section CTA1_04-3 DEC01 1 R2C1 2005-12-06 09:44:23.0 2005-12-06 09:44:51.0 2005-12-06 09:44:51.0 2005-12-06 09:44:51.0 28 28 1 0 0 1 Identifying units 70 748488 f45jOmRd4S Unit ES_02, Section ES_02-8 EG41 3 -x = -96 2006-01-03 14:52:58.0 2006-01-03 14:53:03.0 2006-01-03 14:55:47.0 2006-01-03 14:55:47.0 169 169 0 2 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 75~~36~~11 748672 f45jOmRd4S Unit CTA1_13, Section CTA1_13-1 PROP06 1 R3C1 2006-01-10 10:16:21.0 2006-01-10 10:16:25.0 2006-01-10 10:16:25.0 2006-01-10 10:16:25.0 4 4 1 0 0 1 Define Variable 61 749139 f45jOmRd4S Unit CTA1_06, Section CTA1_06-3 BH1T43 1 R3C1 2006-02-07 09:58:34.0 2006-02-07 09:58:38.0 2006-02-07 09:58:38.0 2006-02-07 09:58:38.0 4 4 1 0 0 1 Define Variable 80 749828 f45jOmRd4S Unit ES_03, Section ES_03-8 LIT2A 2 z-c-z = y-z 2006-04-11 14:41:46.0 2006-04-11 14:41:57.0 2006-04-11 14:41:57.0 2006-04-11 14:42:06.0 20 20 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 25 750056 f45jOmRd4S Unit CTA1_08, Section CTA1_08-3 NOV13 1 XLabel 2006-05-25 09:54:22.0 2006-05-25 09:54:56.0 2006-05-25 09:54:56.0 2006-05-25 09:54:56.0 34 34 1 0 0 1 Labelling the axes 113 750279 HvghFVBS5v Unit CTA1_01, Section CTA1_01-4 JAN13B 1 R1C1 2005-09-13 09:37:40.0 2005-09-13 09:38:32.0 2005-09-13 09:38:32.0 2005-09-13 09:38:32.0 52 52 1 0 0 1 750465 HvghFVBS5v Unit CTA1_02, Section CTA1_02-4 REAL19A 1 R7C2 2005-09-22 10:11:07.0 2005-09-22 10:12:49.0 2005-09-22 10:12:49.0 2005-09-22 10:12:49.0 102 102 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 116~~49~~14 750667 HvghFVBS5v Unit ES_01, Section ES_01-6 EG22 10 17 = y-7+7 2005-10-04 09:59:15.0 2005-10-04 09:59:19.0 2005-10-04 09:59:19.0 2005-10-04 09:59:19.0 4 4 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 40 750952 HvghFVBS5v Unit CTA1_04, Section CTA1_04-3 L2FB15B 1 R3C1 2005-10-27 09:46:39.0 2005-10-27 09:47:12.0 2005-10-27 09:47:38.0 2005-10-27 09:47:38.0 59 59 0 1 0 1 Define Variable 39 751295 HvghFVBS5v Unit ES_02, Section ES_02-9 EG44 2 5y = 9 2005-11-10 10:02:26.0 2005-11-10 10:02:35.0 2005-11-10 10:02:35.0 2005-11-10 10:02:35.0 9 9 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 43~~95 751384 HvghFVBS5v Unit CTA1_13, Section CTA1_13-1 PROP12 1 R3C2 2005-11-15 09:56:01.0 2005-11-15 09:56:20.0 2005-11-15 09:56:20.0 2005-11-15 09:56:20.0 19 19 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 126~~41~~56 751854 HvghFVBS5v Unit CTA1_06, Section CTA1_06-3 BH1T42 1 R4C2 2005-11-29 14:05:21.0 2005-11-29 14:05:29.0 2005-11-29 14:05:35.0 2005-11-29 14:05:35.0 14 14 0 1 0 1 Entering a given 242 752480 HvghFVBS5v Unit ES_03, Section ES_03-6 EG52A 1 constant termsR2 2005-12-20 09:58:32.0 2005-12-20 10:00:19.0 2005-12-20 10:00:19.0 2005-12-20 10:00:19.0 107 107 1 0 0 1 752776 HvghFVBS5v Unit CTA1_08, Section CTA1_08-2 FEB09 1 yMin 2006-01-19 10:11:15.0 2006-01-19 10:11:23.0 2006-01-19 10:11:23.0 2006-01-19 10:11:23.0 8 8 1 0 0 1 Changing axis bounds 161 753407 HvghFVBS5v Unit ES_04, Section ES_04-13 LIT21 1 d/q = q*n/q 2006-02-23 09:51:42.0 2006-02-23 09:51:46.0 2006-02-23 09:51:46.0 2006-02-23 09:51:46.0 4 4 1 0 0 1 753752 HvghFVBS5v Unit CTA1_10, Section CTA1_10-4 DIST02_SP 1 R2C2 2006-03-20 10:16:41.0 2006-03-20 10:17:37.0 2006-03-20 10:17:37.0 2006-03-20 10:17:37.0 56 56 1 0 0 1 Identifying units 155 754371 HvghFVBS5v Unit ES_07, Section ES_07-4 LIT62A 2 c*j+s*u+w*u = n*q-w*u+w*u 2006-04-11 10:03:52.0 2006-04-11 10:04:03.0 2006-04-11 10:04:03.0 2006-04-11 10:04:37.0 45 45 1 0 0 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]]~~[SkillRule: Consolidate vars with coeff; CLT] 154~~237 754796 HvghFVBS5v Unit CTA1_12, Section CTA1_12-5 SYSFB24 1 YLabel 2006-04-18 10:23:05.0 2006-04-18 10:23:10.0 2006-04-18 10:23:10.0 2006-04-18 10:23:10.0 5 5 1 0 0 1 Labelling the axes 138 755183 HvghFVBS5v Unit ES_05, Section ES_05-11 LIT85 1 -6y = 17-4x 2006-04-25 10:14:36.0 2006-04-25 10:14:39.0 2006-04-25 10:14:48.0 2006-04-25 10:14:48.0 12 12 0 0 2 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 510 755655 HvghFVBS5v Unit CTA1_14, Section CTA1_14-4 2PTFB14 3 R7C2 2006-05-23 09:50:30.0 2006-05-23 09:50:36.0 2006-05-23 09:50:36.0 2006-05-23 09:50:36.0 6 6 1 0 0 1 Entering a given 509 755715 HvghFVBS5v Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-1 YGTX-7 1 Formula 1 XIntercept 2006-05-25 10:02:11.0 2006-05-25 10:02:34.0 2006-05-25 10:02:34.0 2006-05-25 10:02:34.0 23 23 1 0 0 1 Placing coordinate point 1 755819 hwF4tyWU50 Unit CTA1_01, Section CTA1_01-3 BH1T33 1 R5C1 2005-09-01 10:14:42.0 2005-09-01 10:14:51.0 2005-09-01 10:14:51.0 2005-09-01 10:14:51.0 9 9 1 0 0 1 Entering a given 25 756075 hwF4tyWU50 Unit CTA1_02, Section CTA1_02-4 L2FB14 1 XLabel 2005-09-08 10:17:50.0 2005-09-08 10:17:55.0 2005-09-08 10:17:55.0 2005-09-08 10:17:55.0 5 5 1 0 0 1 Labelling the axes 18 756206 hwF4tyWU50 Unit ES_01, Section ES_01-7 EG22 2 -7-(-3) = -3+y-(-3) 2005-09-13 09:54:35.0 2005-09-13 09:54:46.0 2005-09-13 09:54:46.0 2005-09-13 09:55:14.0 39 39 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 3 756390 hwF4tyWU50 Unit CTA1_04, Section CTA1_04-3 L2FB15 1 32.87 = Y*0.23 2005-09-15 10:21:08.0 2005-09-15 10:21:14.0 2005-09-15 10:21:14.0 2005-09-15 10:21:14.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 23~~35 756623 hwF4tyWU50 Unit ES_02, Section ES_02-7 EG41 2 -7-5 = 5+(y/-9)-5 2005-09-22 09:52:59.0 2005-09-22 09:53:06.0 2005-09-22 09:53:06.0 2005-09-22 09:53:06.0 7 7 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 34 756726 hwF4tyWU50 Unit CTA1_13, Section CTA1_13-1 PROP03 1 R1C2 2005-09-22 10:20:27.0 2005-09-22 10:20:42.0 2005-09-22 10:20:42.0 2005-09-22 10:20:42.0 15 15 1 0 0 1 757088 hwF4tyWU50 Unit CTA1_06, Section CTA1_06-4 L6FB19 1 R7C1 2005-10-04 10:13:26.0 2005-10-04 10:13:37.0 2005-10-04 10:13:37.0 2005-10-04 10:13:37.0 11 11 1 0 0 1 Using large numbers~~Find X, positive slope~~Using difficult numbers 75~~39~~71 757362 hwF4tyWU50 Unit ES_03, Section ES_03-7 LIT11 1 -m/-1 = (s-2)/-1 2005-10-11 10:10:39.0 2005-10-11 10:10:45.0 2005-10-11 10:10:45.0 2005-10-11 10:10:45.0 6 6 1 0 0 1 757550 hwF4tyWU50 Unit CTA1_08, Section CTA1_08-3 PERCENT12 1 Formula 1 Coeff 0 2005-10-18 09:57:11.0 2005-10-18 09:57:16.0 2005-10-18 09:57:16.0 2005-10-18 09:57:16.0 5 5 1 0 0 1 Setting the y-intercept 13 757837 hwF4tyWU50 Unit ES_04, Section ES_04-15 LIT56 1 -w = b/j-t 2005-11-01 10:16:24.0 2005-11-01 10:16:31.0 2005-11-01 10:16:31.0 2005-11-01 10:16:31.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 197~~19 758033 hwF4tyWU50 Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 R1C2 2005-11-22 09:39:51.0 2005-11-22 09:40:08.0 2005-11-22 09:40:08.0 2005-11-22 09:40:08.0 17 17 1 0 0 1 758224 hwF4tyWU50 Unit ES_07, Section ES_07-6 LIT79A 1 4y+5r = 2v-9s 2005-12-01 09:51:49.0 2005-12-01 09:52:00.0 2005-12-01 09:52:00.0 2005-12-01 09:52:00.0 11 11 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 216 758442 hwF4tyWU50 Unit CTA1_12, Section CTA1_12-5 SYSFB05 1 R2C3 2005-12-15 10:07:51.0 2005-12-15 10:07:53.0 2005-12-15 10:07:53.0 2005-12-15 10:07:53.0 2 2 1 0 0 1 Identifying units 149 758712 hwF4tyWU50 Unit ES_05, Section ES_05-10 EG62 1 -119.13/-43.13 = -43.13x/-43.13 2006-01-31 09:45:10.0 2006-01-31 09:45:33.0 2006-01-31 09:45:33.0 2006-01-31 09:45:39.0 29 29 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 77 759019 hwF4tyWU50 Unit CTA1_14, Section CTA1_14-4 LDEMO_PTPT 1 R1C2 2006-02-28 10:11:07.0 2006-02-28 10:11:14.0 2006-02-28 10:11:14.0 2006-02-28 10:11:14.0 7 7 1 0 0 1 759285 hwF4tyWU50 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 XLT150 1 GraphChoice1 2006-04-27 09:53:20.0 2006-04-27 09:53:23.0 2006-04-27 09:53:23.0 2006-04-27 09:53:23.0 3 3 1 0 0 1 759343 hwF4tyWU50 Unit CTA1_15, Section CTA1_15-2 SYSFB18 2 R5C1 2006-05-17 09:49:08.0 2006-05-17 09:49:18.0 2006-05-17 09:50:50.0 2006-05-17 09:50:50.0 31 31 0 1 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 271~~161~~101 759601 IQ98biy227 Unit CTA1_01, Section CTA1_01-4 JAN04 1 R2C2 2005-09-15 09:50:39.0 2005-09-15 09:50:46.0 2005-09-15 09:50:56.0 2005-09-15 09:50:56.0 17 17 0 1 0 1 Identifying units 35 759805 IQ98biy227 Unit CTA1_02, Section CTA1_02-3 BH1T39 1 R3C2 2005-09-29 09:53:57.0 2005-09-29 09:54:16.0 2005-09-29 09:54:16.0 2005-09-29 09:54:16.0 19 19 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 127~~72~~28 760201 IQ98biy227 Unit ES_01, Section ES_01-11 EG27 1 1*8 = x 2005-10-13 10:12:48.0 2005-10-13 10:13:21.0 2005-10-13 10:13:21.0 2005-10-13 10:13:21.0 33 33 1 0 0 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] 18 760364 IQ98biy227 Unit CTA1_04, Section CTA1_04-3 BH1T41B 1 R3C1 2005-10-21 10:41:45.0 2005-10-21 10:41:51.0 2005-10-21 10:41:51.0 2005-10-21 10:41:51.0 6 6 1 0 0 1 Define Variable 51 760697 IQ98biy227 Unit ES_02, Section ES_02-8 EG41 2 FinalAnswer 2005-11-01 09:57:16.0 2005-11-01 09:57:27.0 2005-11-01 09:57:27.0 2005-11-01 09:57:27.0 11 11 1 0 0 1 combine-like-terms-sp 34 760828 IQ98biy227 Unit CTA1_13, Section CTA1_13-1 PROP12 3 3G/250 = 600 2005-11-02 14:52:25.0 2005-11-02 14:52:50.0 2005-11-02 14:52:50.0 2005-11-02 14:52:50.0 25 25 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 47~~90 761291 IQ98biy227 Unit CTA1_06, Section CTA1_06-5 FBSMR1 2 yMax 2005-11-17 14:40:23.0 2005-11-17 14:40:33.0 2005-11-17 14:40:33.0 2005-11-17 14:40:33.0 10 10 1 0 0 1 Changing axis bounds 125 761527 IQ98biy227 Unit ES_03, Section ES_03-8 LIT11A 5 n = (t-2)/-1 2005-11-21 15:03:40.0 2005-11-21 15:03:49.0 2005-11-21 15:03:49.0 2005-11-21 15:03:49.0 9 9 1 0 0 1 761658 IQ98biy227 Unit CTA1_08, Section CTA1_08-3 DEC04 1 Formula 1 Coeff 1 2005-11-22 09:41:22.0 2005-11-22 09:41:32.0 2005-11-22 09:41:44.0 2005-11-22 09:41:44.0 22 22 0 2 0 1 Setting the slope 10 761982 IQ98biy227 Unit ES_04, Section ES_04-15 LIT57 1 h*m+b-b = a-h*3-b 2005-11-30 14:38:33.0 2005-11-30 14:38:38.0 2005-11-30 14:38:38.0 2005-11-30 14:38:38.0 5 5 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 110 762306 IQ98biy227 Unit CTA1_10, Section CTA1_10-6 DISTFB12_SP 2 ValidEquations 2005-12-13 14:40:28.0 2005-12-13 14:41:41.0 2005-12-13 14:41:41.0 2005-12-13 14:41:41.0 73 73 1 0 0 2 762459 IQ98biy227 Unit ES_07, Section ES_07-5 LIT79 1 4x+5q = 2u-9n 2005-12-20 09:45:41.0 2005-12-20 09:47:20.0 2005-12-20 09:47:20.0 2005-12-20 09:47:20.0 99 99 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 237 762797 IQ98biy227 Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 2.5G = 1342.5 2006-01-03 09:59:01.0 2006-01-03 09:59:13.0 2006-01-03 09:59:13.0 2006-01-03 09:59:13.0 12 12 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 137~~311 762965 IQ98biy227 Unit ES_05, Section ES_05-12 LIT88 1 4y/4 = (0-x)/4 2006-01-05 10:00:38.0 2006-01-05 10:00:44.0 2006-01-05 10:00:44.0 2006-01-05 10:01:11.0 33 33 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 93 763345 IQ98biy227 Unit CTA1_14, Section CTA1_14-4 TPH15 1 R3C1 2006-01-31 09:41:29.0 2006-01-31 09:41:32.0 2006-01-31 09:41:32.0 2006-01-31 09:41:32.0 3 3 1 0 0 1 Define Variable 150 763629 IQ98biy227 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLEX+7 1 YCoordinate1_2 2006-02-02 10:20:07.0 2006-02-02 10:20:09.0 2006-02-02 10:20:09.0 2006-02-02 10:20:09.0 2 2 1 0 0 1 Entering a point~~Positive Constants, SIF 15~~5 763884 IQ98biy227 Unit CTA1_15, Section CTA1_15-3 SYSFB10 1 Intersection 1 Y 2006-02-08 14:50:09.0 2006-02-08 14:50:21.0 2006-02-08 14:50:21.0 2006-02-08 14:50:21.0 12 12 1 0 0 1 Labelling point of intersection 38 764050 IQ98biy227 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE7TRE 1 R4C3 2006-02-09 10:02:56.0 2006-02-09 10:02:59.0 2006-02-09 10:02:59.0 2006-02-09 10:02:59.0 3 3 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope~~Entering a computed linear value 369~~321~~56~~17 764175 IQ98biy227 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR07 1 a-factor-2 2006-02-09 11:57:16.0 2006-02-09 11:57:17.0 2006-02-09 11:57:17.0 2006-02-09 11:57:17.0 1 1 1 0 0 1 764523 IQ98biy227 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR11 1 (-6+sqrt(36-20))/10 = x 2006-02-23 09:56:42.0 2006-02-23 09:56:51.0 2006-02-23 09:56:51.0 2006-02-23 09:56:51.0 9 9 1 0 0 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 106 764756 IQ98biy227 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD5TRE 1 -0.5*32*3.5^2+64*3.5+0 = f 2006-03-03 09:45:27.0 2006-03-03 09:45:29.0 2006-03-03 09:45:29.0 2006-03-03 09:45:29.0 2 2 1 0 0 1 764901 IQ98biy227 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 2 (5(x^3)(y^4))(3(x^4)(y^5)) 2006-03-07 10:23:13.0 2006-03-07 10:23:17.0 2006-03-07 10:23:17.0 2006-03-07 10:23:17.0 4 4 1 0 0 1 764981 IQ98biy227 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS02 2 (3(x^2)(y^6))/y^5 2006-03-07 14:59:06.0 2006-03-07 14:59:23.0 2006-03-07 14:59:23.0 2006-03-07 14:59:23.0 17 17 1 0 0 1 765304 IQ98biy227 Unit CTA1_20, Section CTA1_20-2 1PTFB17 2 R7C1 2006-03-24 09:47:23.0 2006-03-24 09:47:34.0 2006-03-24 09:47:34.0 2006-03-24 09:47:34.0 11 11 1 0 0 1 Entering a given 646 765385 IQ98biy227 Unit CTA1_21, Section CTA1_21-2 BH1T49 1 R3C2 2006-03-24 10:22:05.0 2006-03-24 10:22:39.0 2006-03-24 10:23:41.0 96 96 0 3 5 0 Write expression, positive slope~~Using large numbers~~Using difficult numbers 144~~232~~205 765586 IQ98biy227 Unit CTA1_22, Section CTA1_22-1 SYSFB08 1 -110W = -5389 2006-03-30 09:59:22.0 2006-03-30 09:59:29.0 2006-03-30 09:59:29.0 2006-03-30 09:59:29.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 482~~162 765677 IQ98biy227 Unit ES_06, Section ES_06-1 EG63A 2 -58598.8322+(-262.01y) = -149.5632319-520015.832y-53.22 2006-04-04 10:01:06.0 2006-04-04 10:01:09.0 2006-04-04 10:01:09.0 2006-04-04 10:01:09.0 3 3 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 135 765739 IQ98biy227 Unit CTA1_24, Section CTA1_24-1 FOR02 1 R6C1 2006-04-04 10:23:35.0 2006-04-04 10:23:41.0 2006-04-04 10:23:41.0 2006-04-04 10:23:41.0 6 6 1 0 0 1 Entering a given 681 765878 IQ98biy227 Unit CTA1_25, Section CTA1_25-1 BH1T50 1 yScale 2006-04-06 10:02:58.0 2006-04-06 10:03:02.0 2006-04-06 10:03:02.0 2006-04-06 10:05:55.0 17 17 1 0 0 3 Changing axis intervals 120 766023 IQ98biy227 Unit CTA1_26, Section CTA1_26-1 BH1T03 1 R3C2 2006-04-07 11:35:09.0 2006-04-07 11:35:27.0 2006-04-07 11:35:27.0 2006-04-07 11:35:27.0 18 18 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 426~~176~~251 766183 IQ98biy227 Unit CTA1_27, Section CTA1_27-1 L3REAL12 2 R6C2 2006-04-07 14:30:52.0 2006-04-07 14:31:03.0 2006-04-07 14:31:03.0 2006-04-07 14:31:03.0 11 11 1 0 0 1 Entering a given 754 767012 IQ98biy227 Unit QuadLinearFuncTrans, Section QLFuncTrans9 TRANSFORMN007 2 GRAPHICAL-TRANSFORMATIONS-a 2006-04-20 09:52:03.0 2006-04-20 09:52:12.0 2006-04-20 09:52:17.0 14 14 0 2 0 0 767738 OS2vxzjz6W Unit CTA1_01, Section CTA1_01-3 DEC03 1 R4C1 2005-09-08 09:38:08.0 2005-09-08 09:38:11.0 2005-09-08 09:38:11.0 2005-09-08 09:38:11.0 3 3 1 0 0 1 Entering a given 57 768063 OS2vxzjz6W Unit CTA1_02, Section CTA1_02-4 REAL19B 1 R5C1 2005-09-16 14:23:25.0 2005-09-16 14:23:30.0 2005-09-16 14:23:30.0 2005-09-16 14:23:30.0 5 5 1 0 0 1 Entering a given 122 768377 OS2vxzjz6W Unit ES_01, Section ES_01-9 EG25 2 3 = x/8 2005-09-23 13:43:31.0 2005-09-23 13:43:42.0 2005-09-23 13:43:58.0 2005-09-23 13:43:58.0 27 27 0 2 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 7~~19 768648 OS2vxzjz6W Unit CTA1_04, Section CTA1_04-3 PERCENT14C 1 R6C1 2005-09-28 14:02:17.0 2005-09-28 14:02:28.0 2005-09-28 14:05:36.0 2005-09-28 14:05:36.0 31 31 0 3 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 146~~24~~46 769094 OS2vxzjz6W Unit ES_02, Section ES_02-8 EG41 10 -14*5 = -y/5*5 2005-10-13 09:50:07.0 2005-10-13 09:50:10.0 2005-10-13 09:50:17.0 2005-10-13 09:50:32.0 25 25 0 1 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 14 769400 OS2vxzjz6W Unit CTA1_13, Section CTA1_13-1 PROP06 1 R7C1 2005-10-18 09:52:41.0 2005-10-18 09:52:50.0 2005-10-18 09:52:50.0 2005-10-18 09:52:50.0 9 9 1 0 0 1 Entering a given 249 769891 OS2vxzjz6W Unit CTA1_06, Section CTA1_06-3 FEB13 3 yScale 2005-10-28 11:46:32.0 2005-10-28 11:46:41.0 2005-10-28 11:46:41.0 2005-10-28 11:47:43.0 26 26 1 0 0 4 Changing axis intervals 52 770801 OS2vxzjz6W Unit ES_03, Section ES_03-6 EG53A 2 FinalAnswer 2005-12-01 10:14:30.0 2005-12-01 10:14:43.0 2005-12-01 10:14:43.0 2005-12-01 10:14:43.0 13 13 1 0 0 1 simplify-fractions-sp~~combine-like-terms-sp 39~~80 771337 OS2vxzjz6W Unit CTA1_08, Section CTA1_08-3 L5FB02 1 Formula 1 Coeff 1 2006-01-10 09:44:17.0 2006-01-10 09:44:20.0 2006-01-10 09:44:50.0 2006-01-10 09:44:50.0 33 33 0 4 5 1 Setting the slope 15 772413 OS2vxzjz6W Unit ES_04, Section ES_04-16 LIT59A 1 y1R1 2006-02-16 09:54:53.0 2006-02-16 09:54:57.0 2006-02-16 09:54:57.0 2006-02-16 09:54:57.0 4 4 1 0 0 1 772703 OS2vxzjz6W Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 0.25(X+56) = 55 2006-03-07 09:42:31.0 2006-03-07 09:42:35.0 2006-03-07 09:42:35.0 2006-03-07 09:42:35.0 4 4 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 147 773182 OS2vxzjz6W Unit ES_07, Section ES_07-4 LIT69A 4 z*u = 16n-z*g+n*j 2006-03-22 09:56:37.0 2006-03-22 09:56:43.0 2006-03-22 09:56:48.0 2006-03-22 09:56:48.0 11 11 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 387 773927 OS2vxzjz6W Unit CTA1_12, Section CTA1_12-5 SYSFB25 1 R1C3 2006-04-12 10:14:02.0 2006-04-12 10:14:08.0 2006-04-12 10:14:23.0 2006-04-12 10:14:23.0 21 21 0 0 2 1 774427 OS2vxzjz6W Unit ES_05, Section ES_05-8 EG61 13 x2R1 2006-05-11 10:00:43.0 2006-05-11 10:00:45.0 2006-05-11 10:00:45.0 2006-05-11 10:00:45.0 2 2 1 0 0 1 774746 OS2vxzjz6W Unit CTA1_14, Section CTA1_14-2 DEC05 1 R6C1 2006-05-25 10:11:09.0 2006-05-25 10:11:14.0 2006-05-25 10:13:16.0 2006-05-25 10:13:16.0 103 103 0 3 0 1 Using small numbers~~Find X, negative slope~~Using difficult numbers 396~~37~~221 774920 QS4cvQ8w0o Unit CTA1_01, Section CTA1_01-3 BH1T19A 1 R1C1 2005-09-06 10:05:25.0 2005-09-06 10:06:13.0 2005-09-06 10:06:13.0 2005-09-06 10:06:13.0 48 48 1 0 0 1 775237 QS4cvQ8w0o Unit CTA1_02, Section CTA1_02-4 REAL19A 1 R6C1 2005-09-22 10:02:44.0 2005-09-22 10:02:49.0 2005-09-22 10:02:49.0 2005-09-22 10:02:49.0 5 5 1 0 0 1 Entering a given 104 775437 QS4cvQ8w0o Unit ES_01, Section ES_01-6 EG21 5 5 = 7+x 2005-09-29 10:07:44.0 2005-09-29 10:07:53.0 2005-09-29 10:08:34.0 2005-09-29 10:08:34.0 50 50 0 2 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 8~~5 775718 QS4cvQ8w0o Unit CTA1_04, Section CTA1_04-4 L5FB04A 2 -33-1.5L = 0 2005-10-25 10:05:42.0 2005-10-25 10:05:48.0 2005-10-25 10:06:26.0 2005-10-25 10:06:26.0 44 44 0 2 3 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 34~~3 775884 QS4cvQ8w0o Unit ES_02, Section ES_02-6 EG40 3 7x = 4 2005-11-15 09:37:20.0 2005-11-15 09:38:09.0 2005-11-15 09:38:09.0 2005-11-15 09:38:09.0 49 49 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 30~~58 776158 QS4cvQ8w0o Unit CTA1_13, Section CTA1_13-1 PROP13 1 R3C1 2005-12-01 10:11:41.0 2005-12-01 10:11:43.0 2005-12-01 10:11:43.0 2005-12-01 10:11:43.0 2 2 1 0 0 1 Define Variable 59 776677 QS4cvQ8w0o Unit CTA1_06, Section CTA1_06-4 BH1T48 1 YUnit 2006-01-12 10:00:58.0 2006-01-12 10:01:13.0 2006-01-12 10:01:13.0 2006-01-12 10:01:13.0 15 15 1 0 0 1 777217 QS4cvQ8w0o Unit ES_03, Section ES_03-5 EG51 4 7.4 = -4.9x+7.9x+8.6 2006-01-31 14:59:12.0 2006-01-31 14:59:16.0 2006-01-31 14:59:16.0 2006-01-31 14:59:16.0 4 4 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 101 777692 QS4cvQ8w0o Unit CTA1_08, Section CTA1_08-3 REAL37 1 YUnit 2006-02-14 14:50:40.0 2006-02-14 14:50:47.0 2006-02-14 14:50:47.0 2006-02-14 14:50:47.0 7 7 1 0 0 1 778256 QS4cvQ8w0o Unit ES_04, Section ES_04-16 LIT60A 2 v+r-v = d*x/(q*c)-v 2006-03-08 14:36:28.0 2006-03-08 14:36:31.0 2006-03-08 14:36:31.0 2006-03-08 14:37:08.0 40 40 1 0 2 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 89 778617 QS4cvQ8w0o Unit CTA1_10, Section CTA1_10-6 DISTFB13_SP 1 R1C1 2006-03-15 11:55:12.0 2006-03-15 11:55:48.0 2006-03-15 11:55:48.0 2006-03-15 11:55:48.0 36 36 1 0 0 1 778830 QS4cvQ8w0o Unit ES_07, Section ES_07-4 LIT64A 2 y*j-j*c = g*x-z*u 2006-03-20 10:16:22.0 2006-03-20 10:17:18.0 2006-03-20 10:17:18.0 2006-03-20 10:17:18.0 56 56 1 0 0 1 [SkillRule: Extract to consolidate vars; {factor; factorb; factorc; factord}] 31 779331 QS4cvQ8w0o Unit CTA1_12, Section CTA1_12-5 SYSFB24 1 R1C3 2006-03-30 09:49:02.0 2006-03-30 09:49:19.0 2006-03-30 09:49:19.0 2006-03-30 09:49:19.0 17 17 1 0 0 1 779900 QS4cvQ8w0o Unit ES_05, Section ES_05-12 LIT39 1 y-b = m*x 2006-04-18 10:17:01.0 2006-04-18 10:17:10.0 2006-04-18 10:17:10.0 2006-04-18 10:17:10.0 9 9 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 505 780241 QS4cvQ8w0o Unit CTA1_14, Section CTA1_14-4 2PTFB10 3 7R = 21 2006-05-04 09:57:28.0 2006-05-04 09:57:34.0 2006-05-04 09:57:34.0 2006-05-04 09:57:34.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 204~~542 780678 QS4cvQ8w0o Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-2X-2YGE9 2 ValidEquations 2006-05-25 09:43:12.0 2006-05-25 09:47:38.0 2006-05-25 09:47:38.0 2006-05-25 09:49:10.0 303 303 1 0 0 3 780835 QS4cvQ8w0o Unit CTA1_15, Section CTA1_15-1 LDEMO_MSYS 2 R5C1 2006-06-01 09:22:39.0 2006-06-01 09:22:41.0 2006-06-01 09:22:41.0 2 2 0 1 0 0 Using simple numbers~~Using large numbers~~Find X, positive slope 388~~209~~127 781033 Qwq8d0du28 Unit CTA1_01, Section CTA1_01-3 JAN11B 1 R3C2 2005-09-13 09:46:52.0 2005-09-13 09:47:03.0 2005-09-13 09:47:03.0 2005-09-13 09:47:03.0 11 11 1 0 0 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 65~~15~~35 781364 Qwq8d0du28 Unit CTA1_02, Section CTA1_02-4 L2FB14B 2 yScale 2005-10-04 09:40:28.0 2005-10-04 09:40:38.0 2005-10-04 09:40:38.0 2005-10-04 09:45:59.0 180 180 1 0 0 9 Changing axis intervals 18 781580 Qwq8d0du28 Unit ES_01, Section ES_01-10 EG27 5 -9/-1 = -y/-1 2005-10-13 10:01:33.0 2005-10-13 10:01:43.0 2005-10-13 10:01:43.0 2005-10-13 10:01:43.0 10 10 1 0 0 1 781845 Qwq8d0du28 Unit CTA1_04, Section CTA1_04-4 L5FB04B 1 R3C1 2005-10-25 09:55:55.0 2005-10-25 09:56:00.0 2005-10-25 09:56:03.0 2005-10-25 09:56:03.0 8 8 0 1 0 1 Define Variable 52 782105 Qwq8d0du28 Unit ES_02, Section ES_02-6 EG40 4 9-3 = 3+3x-3 2005-10-27 10:09:46.0 2005-10-27 10:10:09.0 2005-10-27 10:10:09.0 2005-10-27 10:10:39.0 53 53 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 8 782306 Qwq8d0du28 Unit CTA1_13, Section CTA1_13-1 PROP09 1 R/6 = 700 2005-11-04 12:22:45.0 2005-11-04 12:22:50.0 2005-11-04 12:22:50.0 2005-11-04 12:22:50.0 5 5 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 59~~106 782667 Qwq8d0du28 Unit CTA1_06, Section CTA1_06-3 FEB13 1 R4C2 2005-11-18 12:32:42.0 2005-11-18 12:32:55.0 2005-11-18 12:32:55.0 2005-11-18 12:32:55.0 13 13 1 0 0 1 Entering a given 260 783418 Qwq8d0du28 Unit ES_03, Section ES_03-8 LIT17A 1 -z/-1 = r/-1 2006-01-03 09:41:07.0 2006-01-03 09:41:13.0 2006-01-03 09:41:48.0 2006-01-03 09:42:36.0 89 89 0 1 0 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] 4 783601 Qwq8d0du28 Unit CTA1_08, Section CTA1_08-2 BH1T04 1 Intercept Field 1 2006-01-10 09:52:15.0 2006-01-10 09:52:33.0 2006-01-10 09:52:33.0 2006-01-10 09:52:33.0 18 18 1 0 0 1 Entering the y-intercept 12 784351 Qwq8d0du28 Unit ES_04, Section ES_04-15 LIT58 1 y*n = r+f-y*b-7 2006-02-02 10:12:42.0 2006-02-02 10:12:48.0 2006-02-02 10:15:26.0 2006-02-02 10:15:26.0 164 164 0 1 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 320 784618 Qwq8d0du28 Unit CTA1_10, Section CTA1_10-4 DIST02_SP 2 R7C1 2006-02-07 14:55:25.0 2006-02-07 14:55:28.0 2006-02-07 14:55:40.0 2006-02-07 14:55:40.0 6 6 0 1 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 232~~123~~77 784890 Qwq8d0du28 Unit ES_07, Section ES_07-4 LIT69A 4 di-expr 2006-02-14 09:42:08.0 2006-02-14 09:42:25.0 2006-02-14 09:42:25.0 2006-02-14 09:43:01.0 22 22 1 0 0 2 785332 Qwq8d0du28 Unit CTA1_12, Section CTA1_12-5 SYSFB24 1 R1C3 2006-02-16 09:40:15.0 2006-02-16 09:40:32.0 2006-02-16 09:40:32.0 2006-02-16 09:40:32.0 17 17 1 0 0 1 786011 Qwq8d0du28 Unit ES_05, Section ES_05-10 EG62 7 6.55y-(-19.96y) = -19.96y-14.66+89.4+19.96y 2006-02-27 11:17:20.0 2006-02-27 11:17:26.0 2006-02-27 11:17:26.0 2006-02-27 11:17:26.0 6 6 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 223 786487 Qwq8d0du28 Unit CTA1_14, Section CTA1_14-4 2PTFB10 1 R7C1 2006-03-03 09:14:25.0 2006-03-03 09:14:28.0 2006-03-03 09:14:28.0 2006-03-03 09:14:28.0 3 3 1 0 0 1 Using simple numbers~~Using small numbers~~Find X, positive slope 340~~333~~121 787109 Qwq8d0du28 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLT3X+5 1 xMin 2006-03-07 09:50:56.0 2006-03-07 09:51:08.0 2006-03-07 09:51:08.0 2006-03-07 09:51:08.0 12 12 1 0 0 1 787308 Qwq8d0du28 Unit CTA1_15, Section CTA1_15-3 SYSFB10 1 R1C2 2006-03-07 12:14:10.0 2006-03-07 12:14:16.0 2006-03-07 12:14:40.0 2006-03-07 12:14:40.0 30 30 0 1 0 1 787566 Qwq8d0du28 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE8TRE 1 R5C2 2006-03-08 09:07:23.0 2006-03-08 09:07:27.0 2006-03-08 09:07:27.0 2006-03-08 09:07:27.0 4 4 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope~~Entering a computed linear value 424~~385~~79~~18 787870 Qwq8d0du28 Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR39 1 INNERx2 2006-03-09 10:58:47.0 2006-03-09 10:58:50.0 2006-03-09 10:58:50.0 2006-03-09 10:58:50.0 3 3 1 0 0 1 788142 Qwq8d0du28 Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR30 1 (3+sqrt(29))/10 = x 2006-03-16 10:09:32.0 2006-03-16 10:09:36.0 2006-03-16 10:09:36.0 2006-03-16 10:09:36.0 4 4 1 0 0 1 [SkillRule: Apply Exponent; {Expand Exponents; eval radical; Expand Exponents, radical}] 21 788824 Qwq8d0du28 Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD10TRE 1 R10C2 2006-03-28 12:06:29.0 2006-03-28 12:06:33.0 2006-03-28 12:06:33.0 2006-03-28 12:06:33.0 4 4 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, any form~~Entering a computed quadratic value 470~~431~~43~~35 788911 Qwq8d0du28 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 yR2 2006-03-29 11:05:23.0 2006-03-29 11:05:26.0 2006-03-29 11:05:26.0 2006-03-29 11:05:26.0 3 3 1 0 0 1 perform-mult-row2-sp 20 789347 Qwq8d0du28 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 4 (4(x^4)(y^6))/((x^2)(y^2)) 2006-04-06 09:48:53.0 2006-04-06 09:48:55.0 2006-04-06 09:48:55.0 2006-04-06 09:48:55.0 2 2 1 0 0 1 789536 Qwq8d0du28 Unit CTA1_20, Section CTA1_20-2 IPCSNOW 1 R5C1 2006-04-11 12:07:50.0 2006-04-11 12:07:51.0 2006-04-11 12:07:51.0 2006-04-11 12:07:51.0 1 1 1 0 0 1 Entering a given 729 789854 Qwq8d0du28 Unit CTA1_21, Section CTA1_21-2 FEB12 1 R1C2 2006-04-20 09:43:49.0 2006-04-20 09:43:59.0 2006-04-20 09:44:08.0 2006-04-20 09:44:08.0 19 19 0 1 0 1 790122 Qwq8d0du28 Unit CTA1_22, Section CTA1_22-1 SYSFB07 1 yScale 2006-04-27 09:42:25.0 2006-04-27 09:42:31.0 2006-04-27 09:42:31.0 2006-04-27 09:42:31.0 6 6 1 0 0 2 Changing axis intervals 169 790238 Qwq8d0du28 Unit ES_06, Section ES_06-1 EG63 4 -22.53x+625.8834 = 150.18-71.73x*(1/x+24.8) 2006-04-27 10:21:39.0 2006-04-27 10:21:42.0 2006-04-27 10:21:42.0 2006-04-27 10:21:42.0 3 3 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 153 790339 Qwq8d0du28 Unit CTA1_24, Section CTA1_24-1 L5FB05 1 68+24C = 1000 2006-05-02 09:41:54.0 2006-05-02 09:41:59.0 2006-05-02 09:41:59.0 2006-05-02 09:41:59.0 5 5 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 596 790478 Qwq8d0du28 Unit CTA1_25, Section CTA1_25-1 PERCENT09 1 0.65D = 77.7 2006-05-02 10:19:47.0 2006-05-02 10:19:51.0 2006-05-02 10:19:51.0 2006-05-02 10:19:51.0 4 4 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 376~~762 790696 Qwq8d0du28 Unit CTA1_26, Section CTA1_26-1 BH1T13 1 YLabel 2006-05-04 09:58:18.0 2006-05-04 09:58:22.0 2006-05-04 09:58:22.0 2006-05-04 09:58:22.0 4 4 1 0 0 1 Labelling the axes 286 790833 Qwq8d0du28 Unit CTA1_27, Section CTA1_27-1 FOR06C 1 R4C1 2006-05-05 10:03:35.0 2006-05-05 10:03:47.0 2006-05-05 10:03:47.0 2006-05-05 10:03:47.0 12 12 1 0 0 1 Entering a given 891 791471 Qwq8d0du28 Unit QuadLinearFuncTrans, Section QLFuncTrans7 TRANSFORMV032 1 ALGEBRAIC-TRANSFORMATIONS 2006-05-12 09:01:51.0 2006-05-12 09:02:19.0 2006-05-12 09:03:21.0 72 72 0 3 0 0 791928 USdRVl9AOe Unit CTA1_01, Section CTA1_01-3 BH1T30B 2 R5C2 2005-09-08 09:39:11.0 2005-09-08 09:39:21.0 2005-09-08 09:48:01.0 2005-09-08 09:48:01.0 22 22 0 1 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 44~~25~~4 792261 USdRVl9AOe Unit CTA1_02, Section CTA1_02-4 REAL19 1 xScale 2005-09-29 10:17:24.0 2005-09-29 10:17:33.0 2005-09-29 10:17:33.0 2005-09-29 10:17:40.0 16 16 1 0 0 2 Changing axis intervals 19 792653 USdRVl9AOe Unit ES_01, Section ES_01-9 EG26 2 y/-6 = 8 2005-10-18 09:48:23.0 2005-10-18 09:48:34.0 2005-10-18 09:48:48.0 2005-10-18 09:48:48.0 25 25 0 0 3 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 23~~12 792940 USdRVl9AOe Unit CTA1_04, Section CTA1_04-3 PERCENT14 1 R4C1 2005-10-25 10:10:28.0 2005-10-25 10:10:33.0 2005-10-25 10:10:33.0 2005-10-25 10:10:33.0 5 5 1 0 0 1 Entering a given 171 793162 USdRVl9AOe Unit ES_02, Section ES_02-5 EG40 11 -5/-8 = -8x/-8 2005-11-03 09:46:37.0 2005-11-03 09:47:04.0 2005-11-03 09:47:04.0 2005-11-03 09:47:04.0 27 27 1 0 0 1 793430 USdRVl9AOe Unit CTA1_13, Section CTA1_13-1 PROP02 1 R1C2 2005-11-15 10:06:34.0 2005-11-15 10:07:06.0 2005-11-15 10:07:06.0 2005-11-15 10:07:06.0 32 32 1 0 0 1 794129 USdRVl9AOe Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 R1C2 2005-12-08 10:10:25.0 2005-12-08 10:10:50.0 2005-12-08 10:10:50.0 2005-12-08 10:10:50.0 25 25 1 0 0 1 794565 USdRVl9AOe Unit ES_03, Section ES_03-8 LIT7A 1 row2-c 2005-12-21 10:26:02.0 2005-12-21 10:26:03.0 2005-12-21 10:26:03.0 2005-12-21 10:26:03.0 0.5 0.5 1 0 0 1 794796 USdRVl9AOe Unit CTA1_08, Section CTA1_08-3 BH1T07 1 yScale 2006-01-05 10:21:34.0 2006-01-05 10:21:42.0 2006-01-05 10:21:42.0 2006-01-05 10:21:42.0 8 8 1 0 0 1 Changing axis intervals 87 795211 USdRVl9AOe Unit ES_04, Section ES_04-15 LIT59 1 r*y/r = (v-s-r*x-b)/r 2006-01-26 09:58:48.0 2006-01-26 09:58:52.0 2006-01-26 09:58:52.0 2006-01-26 09:58:52.0 4 4 1 0 0 1 795499 USdRVl9AOe Unit CTA1_10, Section CTA1_10-4 DIST02_SP 1 R3C2 2006-02-14 10:05:07.0 2006-02-14 10:05:18.0 2006-02-14 10:05:41.0 2006-02-14 10:05:41.0 34 34 0 0 4 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 253~~104~~129 795975 USdRVl9AOe Unit ES_07, Section ES_07-6 LIT76A 2 (8z-3)*z = q+s 2006-03-16 09:58:33.0 2006-03-16 09:58:53.0 2006-03-16 09:59:00.0 2006-03-16 09:59:00.0 27 27 0 1 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 117~~317 796272 USdRVl9AOe Unit CTA1_12, Section CTA1_12-4 SYSFB04 2 xMax 2006-03-28 09:35:13.0 2006-03-28 09:35:33.0 2006-03-28 09:35:33.0 2006-03-28 09:35:33.0 20 20 1 0 0 1 Changing axis bounds 154 796671 USdRVl9AOe Unit ES_05, Section ES_05-8 EG61 2 -0.09+7.13 = -0.97y-7.13+0.66y+7.13 2006-04-04 10:05:48.0 2006-04-04 10:06:04.0 2006-04-04 10:06:04.0 2006-04-04 10:06:18.0 30 30 1 1 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 124 797134 USdRVl9AOe Unit CTA1_14, Section CTA1_14-4 TPH11 2 ValidEquations 2006-04-27 09:43:46.0 2006-04-27 09:44:05.0 2006-04-27 09:44:05.0 2006-04-27 09:44:05.0 19 19 1 0 0 2 797464 USdRVl9AOe Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-2X-2YGE9 1 GraphButton1 2006-05-26 10:22:31.0 2006-05-26 10:22:33.0 2006-05-26 10:22:33.0 2006-05-26 10:22:33.0 2 2 1 0 0 1 797616 276487SwvF Unit CTA1_01, Section CTA1_01-3 BH1T19C 1 R1C1 2005-10-04 14:26:46.0 2005-10-04 14:26:57.0 2005-10-04 14:26:57.0 2005-10-04 14:26:57.0 11 11 1 0 0 1 797848 276487SwvF Unit CTA1_02, Section CTA1_02-4 BH1T29 1 R1C1 2005-10-13 10:08:05.0 2005-10-13 10:08:33.0 2005-10-13 10:08:33.0 2005-10-13 10:08:33.0 28 28 1 0 0 1 798095 276487SwvF Unit ES_01, Section ES_01-9 EG25 1 FinalAnswer 2005-10-24 13:16:26.0 2005-10-24 13:16:36.0 2005-10-24 13:16:36.0 2005-10-24 13:16:47.0 17 17 1 0 0 2 perform-mult-sp 10 798250 276487SwvF Unit CTA1_04, Section CTA1_04-3 BH1T41C 1 R4C2 2005-11-01 15:20:13.0 2005-11-01 15:20:39.0 2005-11-01 15:21:29.0 2005-11-01 15:21:29.0 76 76 0 3 2 1 Using small numbers~~Find Y, positive slope~~Using difficult numbers 80~~43~~17 798591 276487SwvF Unit ES_02, Section ES_02-7 EG41 5 x/3+7-7 = 9-7 2005-11-29 15:27:09.0 2005-11-29 15:27:14.0 2005-11-29 15:27:14.0 2005-11-29 15:27:14.0 5 5 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 58 798796 276487SwvF Unit CTA1_13, Section CTA1_13-1 PROP01 1 R4C1 2006-01-19 11:14:02.0 2006-01-19 11:14:09.0 2006-01-19 11:14:09.0 2006-01-19 11:14:09.0 7 7 1 0 0 1 Entering a given 178 798941 276487SwvF Unit CTA1_06, Section CTA1_06-2 L6FB06 1 R3C2 2006-02-09 11:16:24.0 2006-02-09 11:17:14.0 2006-02-09 11:17:56.0 2006-02-09 11:17:56.0 92 92 0 3 6 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 142~~51~~73 799198 4ajdr1a4Kc Unit CTA1_01, Section CTA1_01-3 L3NOV07A 2 R4C2 2005-10-11 14:32:11.0 2005-10-11 14:34:06.0 2005-10-11 14:39:00.0 2005-10-11 14:39:00.0 251 251 0 4 4 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 65~~40~~10 799415 4ajdr1a4Kc Unit CTA1_02, Section CTA1_02-3 L3NOV10B 2 R3C2 2005-11-16 11:55:52.0 2005-11-16 11:56:26.0 2005-11-16 11:56:51.0 2005-11-16 11:56:51.0 59 59 0 1 0 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 122~~27~~63 799821 4ajdr1a4Kc Unit ES_01, Section ES_01-11 EG27 5 -4*-1 = -y*-1 2006-03-14 14:31:02.0 2006-03-14 14:31:07.0 2006-03-14 14:31:07.0 2006-03-14 14:31:12.0 10 10 1 0 0 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] 9 799879 4ajdr1a4Kc Unit CTA1_04, Section CTA1_04-2 BH1T10A 1 R3C1 2006-03-29 11:05:45.0 2006-03-29 11:10:13.0 2006-03-29 11:10:39.0 2006-03-29 11:10:39.0 294 294 0 1 0 1 Define Variable 40 799983 dc35t0IQHq Unit CTA1_01, Section CTA1_01-3 BH1T27 1 R1C2 2005-10-18 14:48:35.0 2005-10-18 14:49:19.0 2005-10-18 14:49:33.0 2005-10-18 14:49:33.0 58 58 0 0 2 1 800315 dc35t0IQHq Unit CTA1_02, Section CTA1_02-4 REAL19A 1 R6C1 2005-12-05 14:14:54.0 2005-12-05 14:15:02.0 2005-12-05 14:15:02.0 2005-12-05 14:15:02.0 8 8 1 0 0 1 Entering a given 92 800401 dc35t0IQHq Unit ES_01, Section ES_01-2 EG4 4 5(1+3) 2006-01-26 10:59:18.0 2006-01-26 10:59:28.0 2006-01-26 10:59:34.0 2006-01-26 10:59:34.0 16 16 0 1 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 10~~10 800455 Dp4If8jfOp Unit CTA1_01, Section CTA1_01-2 RXMX1 2 R4C1 2006-02-09 11:46:04.0 2006-02-09 11:46:09.0 2006-02-09 11:46:09.0 2006-02-09 11:46:09.0 5 5 1 0 0 1 Entering a given 9 800496 f9PBq9q8jq Unit CTA1_01, Section CTA1_01-2 RXMX1A 1 R1C1 2006-03-09 12:11:49.0 2006-03-09 12:12:35.0 2006-03-09 12:15:29.0 2006-03-09 12:15:29.0 186 186 0 6 0 1 800643 IIP2AV0W1Y Unit CTA1_01, Section CTA1_01-3 BH1T19C 1 R5C2 2006-01-31 14:13:18.0 2006-01-31 14:13:32.0 2006-01-31 14:13:32.0 2006-01-31 14:13:32.0 14 14 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope 45~~24~~7 800848 IIP2AV0W1Y Unit CTA1_02, Section CTA1_02-2 NOV04A 2 R4C2 2006-03-08 10:57:23.0 2006-03-08 10:57:36.0 2006-03-08 10:58:09.0 2006-03-08 10:58:09.0 28 28 0 1 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope 97~~57~~23 801053 qN6WN7C097 Unit CTA1_01, Section CTA1_01-4 JAN04C 1 R4C2 2006-01-18 11:23:43.0 2006-01-18 11:24:01.0 2006-01-18 11:25:32.0 2006-01-18 11:25:32.0 109 109 0 3 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 55~~28~~14 801227 qN6WN7C097 Unit CTA1_02, Section CTA1_02-4 REAL19C 2 R6C1 2006-02-09 11:42:40.0 2006-02-09 11:45:18.0 2006-02-09 11:45:18.0 2006-02-09 11:45:18.0 158 158 1 0 0 1 Entering a given 77 801276 qN6WN7C097 Unit ES_01, Section ES_01-1 EG1-FIXED 1 7(8+2) 2006-03-21 14:17:33.0 2006-03-21 14:18:03.0 2006-03-21 14:23:50.0 377 377 0 1 1 0 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 1~~1 801454 3EWyQLUo83 Unit ES_05, Section ES_05-10 EG62 1 172.8y = 18.06 2006-01-10 10:40:54.0 2006-01-10 10:40:59.0 2006-01-10 10:40:59.0 2006-01-10 10:40:59.0 5 5 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 12~~31 801830 443ptPwtPd Unit ES_05, Section ES_05-11 LIT43 1 a*x+b*y = c 2006-01-31 10:33:55.0 2006-01-31 10:34:05.0 2006-01-31 10:34:05.0 2006-01-31 10:34:05.0 10 10 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 58 802051 4tR4H9u4Zn Unit ES_05, Section ES_05-6 EG60 11 -1+7y = 3+4y 2006-01-31 10:45:05.0 2006-01-31 10:46:07.0 2006-01-31 10:46:07.0 2006-01-31 10:46:07.0 62 62 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 20 802312 5g8708DBB0 Unit ES_05, Section ES_05-5 EG60 6 -5x-6 = 4 2006-01-10 10:41:30.0 2006-01-10 10:41:36.0 2006-01-10 10:41:36.0 2006-01-10 10:41:36.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 23~~13 802558 6s8DOcciCW Unit ES_05, Section ES_05-8 EG61 3 -7.25+0.14x-(-7.25) = -7.62x-0.89-(-7.25) 2006-02-02 10:49:09.0 2006-02-02 10:51:03.0 2006-02-02 10:51:03.0 2006-02-02 11:01:50.0 141 141 1 1 0 2 802639 6s8DOcciCW Unit CTA1_14, Section CTA1_14-1 LDEMO_PTY 1 R1C1 2006-02-09 10:51:35.0 2006-02-09 10:52:21.0 2006-02-09 10:52:21.0 46 46 0 1 0 0 802891 74ouxlq51o Unit ES_05, Section ES_05-10 EG62A 3 187.21x = -6580.53 2006-01-12 10:41:05.0 2006-01-12 10:41:18.0 2006-01-12 10:41:18.0 2006-01-12 10:41:18.0 13 13 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 23~~42 803215 8MG4r9aMdu Unit ES_05, Section ES_05-11 LIT84 1 2x+7y = 5 2006-02-28 13:15:09.0 2006-02-28 13:15:17.0 2006-02-28 13:15:17.0 2006-02-28 13:15:17.0 8 8 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 39 803336 bnNE2RRUsd Unit ES_05, Section ES_05-7 EG61 3 -6.08y = -5.16+8.72y 2006-01-10 14:44:54.0 2006-01-10 14:45:06.0 2006-01-10 14:45:06.0 2006-01-10 14:45:06.0 12 12 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 13 803481 bnNE2RRUsd Unit CTA1_14, Section CTA1_14-2 IPCBABY 1 11D = 624 2006-02-09 13:24:40.0 2006-02-09 13:24:48.0 2006-02-09 13:24:48.0 2006-02-09 13:24:48.0 8 8 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 23~~56 803635 HOjPAm59jv Unit ES_05, Section ES_05-10 EG62 1 -49.28x = 81.69 2006-01-10 10:44:51.0 2006-01-10 10:45:20.0 2006-01-10 10:45:20.0 2006-01-10 10:45:20.0 29 29 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 34~~18 803801 MMecgbY11h Unit ES_05, Section ES_05-10 EG62 1 93.88x/93.88 = 55.7/93.88 2006-01-19 11:02:34.0 2006-01-19 11:02:37.0 2006-01-19 11:02:37.0 2006-01-19 11:03:09.0 35 35 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 17 803982 nOkrXE4gnk Unit ES_05, Section ES_05-8 EG61 1 -4.01y = 2.67y+4.65 2006-01-12 10:36:43.0 2006-01-12 10:37:07.0 2006-01-12 10:37:07.0 2006-01-12 10:37:07.0 24 24 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 24 804094 nOkrXE4gnk Unit CTA1_14, Section CTA1_14-1 LDEMO_PTY 1 R3C1 2006-01-24 10:47:28.0 2006-01-24 10:47:32.0 2006-01-24 10:47:32.0 2006-01-24 10:47:32.0 4 4 1 0 0 1 Define Variable 1 804292 oeTCjHG37z Unit ES_05, Section ES_05-8 EG61 8 FinalAnswer 2006-01-10 11:09:50.0 2006-01-10 11:10:02.0 2006-01-10 11:10:36.0 2006-01-10 11:10:36.0 46 46 0 3 0 1 combine-like-terms-sp 10 804393 oeTCjHG37z Unit CTA1_14, Section CTA1_14-1 LDEMO_PTY 1 R5C2 2006-01-12 11:05:30.0 2006-01-12 11:06:21.0 2006-01-12 11:06:21.0 2006-01-12 11:06:21.0 51 51 1 0 0 1 Entering a given 2 804720 S2KFxgwMsH Unit ES_05, Section ES_05-8 EG61 7 -12.23y/-12.23 = (-8.7+2.26)/-12.23 2006-01-19 10:47:06.0 2006-01-19 10:47:10.0 2006-01-19 10:47:10.0 2006-01-19 10:47:10.0 4 4 1 0 0 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 36 805342 TF9ADS4g8k Unit ES_05, Section ES_05-12 LIT85 1 -6y = 17-4x 2006-01-26 10:44:45.0 2006-01-26 10:44:51.0 2006-01-26 10:44:51.0 2006-01-26 10:44:51.0 6 6 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 78 805470 TF9ADS4g8k Unit CTA1_14, Section CTA1_14-2 1PTB09 1 ValidEquations 2006-03-02 11:10:04.0 2006-03-02 11:10:19.0 2006-03-02 11:10:19.0 2006-03-02 11:10:53.0 24 24 1 0 0 3 805696 u004wY493z Unit ES_05, Section ES_05-8 EG61 8 -1.77y+7.34y = -12.99-7.34y+7.34y 2006-01-12 13:12:36.0 2006-01-12 13:12:47.0 2006-01-12 13:12:47.0 2006-01-12 13:13:39.0 63 63 1 1 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 17 805799 u004wY493z Unit CTA1_14, Section CTA1_14-1 LDEMO_PTY 2 -16 = -6x 2006-01-19 13:12:16.0 2006-01-19 13:12:42.0 2006-01-19 13:12:42.0 2006-01-19 13:12:42.0 26 26 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 70~~40 805934 w33QZ9Q64W Unit ES_05, Section ES_05-10 EG62 1 27.24x = -87.96 2006-02-02 10:48:12.0 2006-02-02 10:48:26.0 2006-02-02 10:48:26.0 2006-02-02 10:48:26.0 14 14 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 12~~32 806439 x64anap2Kz Unit ES_05, Section ES_05-10 EG62 6 -122.66y = 33.58 2006-01-12 13:14:50.0 2006-01-12 13:14:57.0 2006-01-12 13:14:57.0 2006-01-12 13:14:57.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 58~~21 806574 x64anap2Kz Unit CTA1_14, Section CTA1_14-1 LDEMO_PTY 2 R7C1 2006-01-31 09:44:20.0 2006-01-31 09:44:26.0 2006-01-31 09:44:26.0 2006-01-31 09:44:26.0 6 6 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, negative slope 2~~2~~1 806862 z2VBXzb65e Unit ES_05, Section ES_05-8 EG61 6 2.96+3.3y-0.86-3.3y = 0.54y-3.3y 2006-02-14 10:32:18.0 2006-02-14 10:34:57.0 2006-02-14 10:34:57.0 2006-02-14 10:35:28.0 190 190 1 1 0 2 807006 12ss7J5ug6 Unit CTA1_13, Section CTA1_13-1 PROP06 1 R2C2 2006-02-22 14:15:09.0 2006-02-22 14:15:18.0 2006-02-22 14:15:26.0 2006-02-22 14:15:26.0 17 17 0 0 2 1 Identifying units 3 807699 12ss7J5ug6 Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 R5C1 2006-05-19 13:52:53.0 2006-05-19 13:53:07.0 2006-05-19 13:53:07.0 2006-05-19 13:53:07.0 14 14 1 0 0 1 Entering a given 150 807749 K8b2FfNFdp Unit CTA1_04, Section CTA1_04-4 BH1T47B 1 R6C1 2006-02-22 14:12:37.0 2006-02-22 14:14:43.0 2006-02-22 14:14:43.0 0 2 0 1 Using simple numbers~~Using small numbers~~Find X, negative slope 3~~13~~3 807931 K8b2FfNFdp Unit ES_02, Section ES_02-7 EG41 1 0 = 4+x/9 2006-02-24 14:07:52.0 2006-02-24 14:08:03.0 2006-02-24 14:08:25.0 2006-02-24 14:08:25.0 33 33 0 2 3 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 22 808133 K8b2FfNFdp Unit CTA1_13, Section CTA1_13-1 PROP09 1 R1C1 2006-04-03 09:53:00.0 2006-04-03 09:53:09.0 2006-04-03 09:53:09.0 2006-04-03 09:53:09.0 9 9 1 0 0 1 808332 K8b2FfNFdp Unit CTA1_06, Section CTA1_06-3 BH1T40 1 R5C1 2006-04-05 08:55:52.0 2006-04-05 08:55:57.0 2006-04-05 08:55:57.0 2006-04-05 08:55:57.0 5 5 1 0 0 1 Entering a given 76 808670 K8b2FfNFdp Unit ES_03, Section ES_03-8 LIT2A 1 z-c-z = y-z 2006-04-05 14:23:16.0 2006-04-05 14:23:28.0 2006-04-05 14:23:41.0 2006-04-05 14:23:49.0 33 33 0 2 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 30 808921 K8b2FfNFdp Unit CTA1_08, Section CTA1_08-3 L5FB02 1 YLabel 2006-04-10 20:08:32.0 2006-04-10 20:08:40.0 2006-04-10 20:08:40.0 2006-04-10 20:08:40.0 8 8 1 0 0 1 Labelling the axes 63 809284 K8b2FfNFdp Unit ES_04, Section ES_04-16 LIT54A 2 m*y/m = (c-m*u)/m 2006-04-24 16:00:42.0 2006-04-24 16:00:46.0 2006-04-24 16:00:46.0 2006-04-24 16:01:02.0 20 20 1 1 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 94 809450 K8b2FfNFdp Unit CTA1_10, Section CTA1_10-3 DIST11_SP 2 R4C2 2006-05-22 14:02:10.0 2006-05-22 14:02:34.0 2006-05-22 14:08:13.0 271 271 0 4 3 0 Using small numbers~~Using difficult numbers~~Find Y, any form 97~~74~~7 809476 Kt1mv62gCP Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 YLabel 2006-02-22 13:31:02.0 2006-02-22 13:31:13.0 2006-02-22 13:31:13.0 2006-02-22 13:31:13.0 11 11 1 0 0 1 Labelling the axes 4 809724 Kt1mv62gCP Unit ES_03, Section ES_03-8 LIT8A 1 x+s-x = 7-x 2006-02-24 14:14:26.0 2006-02-24 14:14:33.0 2006-02-24 14:14:33.0 2006-02-24 14:14:48.0 22 22 1 0 0 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]]~~[SkillRule: Consolidate vars, no coeff; CLT] 17~~48 810024 Kt1mv62gCP Unit CTA1_08, Section CTA1_08-3 REAL37 1 XUnit 2006-03-27 14:18:21.0 2006-03-27 14:18:24.0 2006-03-27 14:18:24.0 2006-03-27 14:18:24.0 3 3 1 0 0 1 810255 Kt1mv62gCP Unit ES_04, Section ES_04-12 EG58 3 -63x/-63 = -84/-63 2006-04-05 14:15:48.0 2006-04-05 14:15:51.0 2006-04-05 14:15:51.0 2006-04-05 14:16:11.0 23 23 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 39 810636 Kt1mv62gCP Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 R4C1 2006-04-21 13:53:48.0 2006-04-21 13:53:55.0 2006-04-21 13:53:55.0 2006-04-21 13:53:55.0 7 7 1 0 0 1 Entering a given 69 810920 Kt1mv62gCP Unit ES_07, Section ES_07-6 LIT72A 2 n+q-q = c*s-q 2006-04-26 14:03:17.0 2006-04-26 14:03:19.0 2006-04-26 14:03:19.0 2006-04-26 14:03:26.0 9 9 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 81 811167 Kt1mv62gCP Unit CTA1_12, Section CTA1_12-4 SYSFB04 1 yMin 2006-05-22 14:16:27.0 2006-05-22 14:16:33.0 2006-05-22 14:16:33.0 2006-05-22 14:16:33.0 6 6 1 0 0 1 Changing axis bounds 55 811227 VHCF3iE0a4 Unit CTA1_02, Section CTA1_02-4 L2FB14B 1 R4C1 2006-02-22 13:41:25.0 2006-02-22 13:41:32.0 2006-02-22 13:41:32.0 2006-02-22 13:41:32.0 7 7 1 0 0 1 Entering a given 10 811327 VHCF3iE0a4 Unit ES_01, Section ES_01-5 EG13 1 y = -9.1*3+8 2006-02-22 14:06:32.0 2006-02-22 14:06:34.0 2006-02-22 14:06:34.0 2006-02-22 14:06:34.0 2 2 1 0 0 1 [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] 16 811551 VHCF3iE0a4 Unit CTA1_04, Section CTA1_04-3 L2FB15 1 32.87 = 0.23T 2006-02-24 13:54:35.0 2006-02-24 13:54:40.0 2006-02-24 13:54:40.0 2006-02-24 13:54:40.0 5 5 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 24~~35 811686 VHCF3iE0a4 Unit ES_02, Section ES_02-7 EG41 1 x/-10+4 = 6 2006-02-24 14:14:45.0 2006-02-24 14:14:49.0 2006-02-24 14:14:49.0 2006-02-24 14:14:49.0 4 4 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 35 812057 VHCF3iE0a4 Unit CTA1_14, Section CTA1_14-4 1PTFB12 1 -250 = -25D 2006-04-05 14:16:31.0 2006-04-05 14:16:36.0 2006-04-05 14:16:36.0 2006-04-05 14:16:36.0 5 5 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 90~~43 812324 VHCF3iE0a4 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLT250 1 xMax 2006-04-21 13:26:41.0 2006-04-21 13:26:48.0 2006-04-21 13:26:48.0 2006-04-21 13:26:48.0 7 7 1 0 0 1 812661 VHCF3iE0a4 Unit CTA1_15, Section CTA1_15-3 SYS09 1 R4C2 2006-04-26 13:33:18.0 2006-04-26 13:33:28.0 2006-04-26 13:33:28.0 10 10 0 1 0 0 Using simple numbers~~Using large numbers~~Find Y, negative slope 112~~77~~12 812782 VHCF3iE0a4 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE4TRE 1 R6C3 2006-04-26 14:16:45.0 2006-04-26 14:16:55.0 2006-04-26 14:16:55.0 10 10 0 1 0 0 812817 zfYl0YECr0 Unit CTA1_02, Section CTA1_02-4 REAL28 1 R3C2 2006-03-03 19:02:40.0 2006-03-03 19:03:02.0 2006-03-03 19:03:02.0 2006-03-03 19:03:02.0 22 22 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, negative slope 10~~5~~2 812939 zfYl0YECr0 Unit ES_01, Section ES_01-8 EG26 1 1 = x/-3 2006-03-03 19:33:35.0 2006-03-03 19:33:47.0 2006-03-03 19:33:47.0 2006-03-03 19:33:47.0 12 12 1 0 0 1 813109 zfYl0YECr0 Unit CTA1_04, Section CTA1_04-3 BH1T41A 1 R6C1 2006-03-03 21:09:51.0 2006-03-03 21:09:56.0 2006-03-03 21:09:56.0 2006-03-03 21:09:56.0 5 5 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 22~~6~~17 813342 zfYl0YECr0 Unit ES_02, Section ES_02-8 EG41 2 (y/9)/(1/9) = 1/(1/9) 2006-03-03 22:46:07.0 2006-03-03 22:46:38.0 2006-03-03 22:46:38.0 2006-03-03 22:46:38.0 31 31 1 0 0 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 10 813443 zfYl0YECr0 Unit CTA1_13, Section CTA1_13-1 PROP12 1 R4C1 2006-03-07 21:33:02.0 2006-03-07 21:34:33.0 2006-03-07 21:36:07.0 2006-03-07 21:36:07.0 120 120 0 1 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 55~~14~~47 813694 zfYl0YECr0 Unit CTA1_06, Section CTA1_06-2 L6FB06 1 R2C1 2006-03-18 07:19:30.0 2006-03-18 07:19:42.0 2006-03-18 07:20:11.0 2006-03-18 07:20:11.0 26 26 0 1 0 1 Identifying units 44 814056 7rP4RofmNF Unit ES_04, Section ES_04-16 LIT57A 1 pm-r-num-node 2006-04-03 09:36:00.0 2006-04-03 09:36:05.0 2006-04-03 09:37:22.0 2006-04-03 09:40:55.0 53 53 0 0 2 2 814423 7rP4RofmNF Unit ES_07, Section ES_07-4 LIT70A 2 6u-r*u+r*u = x*s+r*w+r*u 2006-04-21 08:40:32.0 2006-04-21 08:40:43.0 2006-04-21 08:40:43.0 2006-04-21 08:41:11.0 39 39 1 1 0 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]]~~[SkillRule: Consolidate vars with coeff; CLT] 63~~93 814917 7rP4RofmNF Unit ES_05, Section ES_05-10 EG62A 2 -1140.52y = -3862.1 2006-05-17 09:11:22.0 2006-05-17 09:11:45.0 2006-05-17 09:11:45.0 2006-05-17 09:11:45.0 23 23 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 178~~33 815102 7rP4RofmNF Unit CTA1_01, Section CTA1_01-2 BH1T15B 1 R1C1 2006-05-24 09:25:31.0 2006-05-24 09:26:05.0 2006-05-24 09:26:19.0 2006-05-24 09:26:19.0 48 48 0 0 3 1 815239 B7l5Zfxxu6 Unit ES_04, Section ES_04-16 LIT54A 1 FinalAnswer 2006-02-24 08:59:33.0 2006-02-24 08:59:39.0 2006-02-24 08:59:39.0 2006-02-24 09:00:28.0 9 9 1 0 0 2 simplify-fractions-sp~~combine-like-terms-sp 8~~5 815538 B7l5Zfxxu6 Unit ES_07, Section ES_07-4 LIT69A 2 z*u-n*j = 16n-z*g 2006-03-15 09:02:27.0 2006-03-15 09:02:38.0 2006-03-15 09:02:38.0 2006-03-15 09:02:38.0 11 11 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 47~~25 816317 B7l5Zfxxu6 Unit ES_05, Section ES_05-11 LIT38 1 y-b = m*x 2006-04-21 09:16:00.0 2006-04-21 09:16:20.0 2006-04-21 09:16:34.0 2006-04-21 09:16:34.0 34 34 0 1 3 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 153 816574 B7l5Zfxxu6 Unit CTA1_01, Section CTA1_01-3 L5FB03C 1 R3C1 2006-04-26 08:53:59.0 2006-04-26 08:54:02.0 2006-04-26 08:54:02.0 2006-04-26 08:54:02.0 3 3 1 0 0 1 Define Variable 20 816803 B7l5Zfxxu6 Unit CTA1_02, Section CTA1_02-3 BH1T39A 1 R1C1 2006-05-17 09:35:13.0 2006-05-17 09:35:34.0 2006-05-17 09:35:34.0 2006-05-17 09:35:34.0 21 21 1 0 0 1 816935 C8Uu3Cd2YK Unit ES_02, Section ES_02-6 EG40 6 row2constant factors 2006-03-24 10:25:24.0 2006-03-24 10:25:30.0 2006-03-24 10:25:48.0 2006-03-24 10:39:54.0 60 60 0 5 0 6 817015 Dl62lXJbK1 Unit CTA1_01, Section CTA1_01-4 REAL32 1 R2C2 2006-03-06 09:13:33.0 2006-03-06 09:13:54.0 2006-03-06 09:14:31.0 2006-03-06 09:14:31.0 58 58 0 2 2 1 Identifying units 11 817174 Dl62lXJbK1 Unit CTA1_02, Section CTA1_02-3 BH1T39 1 YLabel 2006-03-15 09:21:40.0 2006-03-15 09:21:49.0 2006-03-15 09:21:49.0 2006-03-15 09:21:49.0 9 9 1 0 0 1 Labelling the axes 12 817347 Dl62lXJbK1 Unit CTA1_04, Section CTA1_04-4 L5FB04B 1 R1C2 2006-04-05 08:41:29.0 2006-04-05 08:41:54.0 2006-04-05 08:41:54.0 2006-04-05 08:41:54.0 25 25 1 0 0 1 817446 Dl62lXJbK1 Unit CTA1_13, Section CTA1_13-1 PROP01 1 R6C1 2006-04-07 09:15:42.0 2006-04-07 09:15:58.0 2006-04-07 09:15:58.0 2006-04-07 09:15:58.0 16 16 1 0 0 1 Entering a given 129 817562 Dl62lXJbK1 Unit CTA1_06, Section CTA1_06-2 DEC02 1 R6C1 2006-04-26 09:01:12.0 2006-04-26 09:04:44.0 2006-04-26 09:04:44.0 2006-04-26 09:04:44.0 212 212 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 125~~24~~67 817747 eZRzEYP9oJ Unit ES_04, Section ES_04-15 LIT59 1 r*(x+y) = v-s-b 2006-02-24 09:26:49.0 2006-02-24 09:26:51.0 2006-02-24 09:27:04.0 2006-02-24 09:27:04.0 15 15 0 0 3 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] 14~~1 818018 eZRzEYP9oJ Unit ES_07, Section ES_07-4 LIT68A 1 6h-2j+2j = c*g+8z+2j 2006-03-17 09:25:28.0 2006-03-17 09:25:38.0 2006-03-17 09:25:38.0 2006-03-17 09:25:57.0 29 29 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 29 818489 eZRzEYP9oJ Unit ES_05, Section ES_05-10 EG62A 5 407.12x/407.12 = -3933.88/407.12 2006-04-26 09:30:30.0 2006-04-26 09:30:33.0 2006-04-26 09:30:33.0 2006-04-26 09:31:19.0 49 49 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 77 818665 eZRzEYP9oJ Unit CTA1_01, Section CTA1_01-3 BH1T34 1 R5C2 2006-05-17 09:12:53.0 2006-05-17 09:13:00.0 2006-05-17 09:13:00.0 2006-05-17 09:13:00.0 7 7 1 0 0 1 Entering a given 35 818758 h9Tx9ulI5Q Unit ES_04, Section ES_04-16 LIT54A 1 m*(y+u)/m = c/m 2006-02-24 08:34:51.0 2006-02-24 08:35:00.0 2006-02-24 08:35:00.0 2006-02-24 08:35:04.0 13 13 1 0 0 2 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] 4 819028 h9Tx9ulI5Q Unit ES_07, Section ES_07-5 LIT79 2 4x+5q+9n = 2u 2006-03-15 09:02:48.0 2006-03-15 09:02:57.0 2006-03-15 09:03:13.0 2006-03-15 09:03:13.0 25 25 0 0 3 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 56 819291 h9Tx9ulI5Q Unit ES_05, Section ES_05-8 EG61 1 -7x+3.48 = -0.99x-7.49 2006-03-27 09:21:36.0 2006-03-27 09:21:51.0 2006-03-27 09:21:51.0 2006-03-27 09:21:51.0 15 15 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 43 819621 h9Tx9ulI5Q Unit CTA1_01, Section CTA1_01-3 REAL20A 1 R2C2 2006-04-07 08:43:34.0 2006-04-07 08:43:36.0 2006-04-07 08:43:36.0 2006-04-07 08:43:36.0 2 2 1 0 0 1 Identifying units 23 819963 h9Tx9ulI5Q Unit CTA1_02, Section CTA1_02-4 REAL28 1 R6C1 2006-04-26 08:31:54.0 2006-04-26 08:32:02.0 2006-04-26 08:32:02.0 2006-04-26 08:32:02.0 8 8 1 0 0 1 Entering a given 110 820083 h9Tx9ulI5Q Unit CTA1_04, Section CTA1_04-2 BH1T02B 1 R2C2 2006-04-26 09:14:37.0 2006-04-26 09:14:40.0 2006-04-26 09:14:40.0 2006-04-26 09:14:40.0 3 3 1 0 0 1 Identifying units 65 820233 h9Tx9ulI5Q Unit ES_02, Section ES_02-2 EG29 2 2*-2-7 2006-05-24 09:14:06.0 2006-05-24 09:14:17.0 2006-05-24 09:14:17.0 2006-05-24 09:14:17.0 11 11 1 0 0 1 [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] 8 820819 jXc985G8qy Unit ES_04, Section ES_04-12 EG58A 6 constant termsR2 2006-04-20 08:51:16.0 2006-04-20 08:51:23.0 2006-04-20 08:51:23.0 2006-04-20 08:53:04.0 12 12 1 0 0 2 821484 jXc985G8qy Unit ES_07, Section ES_07-4 LIT64A 1 y*j+z*u-j*c = j*c+g*x-j*c 2006-04-28 10:32:25.0 2006-04-28 10:32:45.0 2006-04-28 10:32:45.0 2006-04-28 10:33:13.0 48 48 1 1 0 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]]~~[SkillRule: Consolidate vars with coeff; CLT] 44~~79 821854 K4IIshw37g Unit ES_04, Section ES_04-15 LIT59 1 r*y = v-s-r*x-b 2006-02-22 09:17:09.0 2006-02-22 09:17:22.0 2006-02-22 09:17:22.0 2006-02-22 09:17:22.0 13 13 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 9 822182 K4IIshw37g Unit ES_07, Section ES_07-4 LIT62A 1 FinalAnswer 2006-02-24 09:40:28.0 2006-02-24 09:40:43.0 2006-02-24 09:40:56.0 2006-02-24 09:40:56.0 28 28 0 1 0 1 factor-sp 14 822503 K4IIshw37g Unit ES_05, Section ES_05-12 LIT41 1 a*x+b*y = c 2006-03-15 09:20:30.0 2006-03-15 09:20:43.0 2006-03-15 09:20:43.0 2006-03-15 09:20:43.0 13 13 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 93 822683 K4IIshw37g Unit CTA1_01, Section CTA1_01-3 BH1T19C 1 R5C2 2006-04-03 09:12:38.0 2006-04-03 09:13:01.0 2006-04-03 09:13:01.0 2006-04-03 09:13:01.0 23 23 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope 58~~24~~7 822975 K4IIshw37g Unit CTA1_02, Section CTA1_02-4 BH1T29B 1 R5C2 2006-04-07 09:01:46.0 2006-04-07 09:02:05.0 2006-04-07 09:03:24.0 2006-04-07 09:03:24.0 98 98 0 5 2 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 138~~65~~13 823188 K4IIshw37g Unit CTA1_04, Section CTA1_04-4 BH1T47C 1 R1C2 2006-04-21 09:28:55.0 2006-04-21 09:29:11.0 2006-04-21 09:29:11.0 2006-04-21 09:29:11.0 16 16 1 0 0 1 823236 rnOGP59582 Unit ES_07, Section ES_07-6 LIT72A 1 n+q-q = c*s-q 2006-03-06 09:30:31.0 2006-03-06 09:30:41.0 2006-03-06 09:30:41.0 2006-03-06 09:30:51.0 20 20 1 0 0 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]]~~[SkillRule: Consolidate vars, no coeff; CLT] 1~~1 823491 rnOGP59582 Unit ES_05, Section ES_05-10 EG62A 1 65.71y = -919.19-3253.49 2006-03-17 09:23:36.0 2006-03-17 09:23:42.0 2006-03-17 09:23:42.0 2006-03-17 09:23:42.0 6 6 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 55 823776 rnOGP59582 Unit CTA1_01, Section CTA1_01-4 JAN13B 1 R1C1 2006-04-05 09:09:43.0 2006-04-05 09:09:58.0 2006-04-05 09:09:58.0 2006-04-05 09:09:58.0 15 15 1 0 0 1 823932 rnOGP59582 Unit CTA1_02, Section CTA1_02-3 L3NOV12C 1 YLabel 2006-04-26 08:37:30.0 2006-04-26 08:37:39.0 2006-04-26 08:37:39.0 2006-04-26 08:37:39.0 9 9 1 0 0 1 Labelling the axes 14 824165 rnOGP59582 Unit CTA1_04, Section CTA1_04-4 BH1T47A 1 R3C1 2006-05-24 09:17:28.0 2006-05-24 09:17:31.0 2006-05-24 09:17:31.0 2006-05-24 09:17:31.0 3 3 1 0 0 1 Define Variable 39 824185 YWe8V668Uz Unit CTA1_08, Section CTA1_08-2 REAL30 1 yMax 2006-02-22 09:28:51.0 2006-02-22 09:30:14.0 2006-02-22 09:30:14.0 2006-02-22 09:30:14.0 83 83 1 0 0 1 Changing axis bounds 3 824689 YWe8V668Uz Unit ES_04, Section ES_04-14 LIT30A 1 INNERn2 2006-04-05 09:04:28.0 2006-04-05 09:04:33.0 2006-04-05 09:05:43.0 2006-04-05 09:05:43.0 75 75 0 6 3 1 825300 YWe8V668Uz Unit ES_07, Section ES_07-6 LIT82A 3 row3-N-j 2006-05-17 08:37:12.0 2006-05-17 08:37:29.0 2006-05-17 08:38:33.0 2006-05-17 08:38:33.0 81 81 0 3 1 1 825366 YWe8V668Uz Unit CTA1_12, Section CTA1_12-1 LDEMO_SYS 1 R2C1 2006-05-19 08:46:30.0 2006-05-19 08:47:20.0 2006-05-19 08:47:58.0 88 88 0 1 3 0 Identifying units 3 825491 YWe8V668Uz Unit ES_05, Section ES_05-8 EG61 3 9.14 = -1.48x 2006-05-24 09:25:54.0 2006-05-24 09:26:06.0 2006-05-24 09:26:06.0 2006-05-24 09:26:06.0 12 12 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 173~~32 825612 0w8srd7i18 Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 R7C1 2006-03-02 10:05:48.0 2006-03-02 10:05:51.0 2006-03-02 10:05:51.0 2006-03-02 10:05:51.0 3 3 1 0 0 1 Using simple numbers~~Using small numbers~~Find X, Simple 10~~6~~2 825914 0w8srd7i18 Unit ES_03, Section ES_03-8 LIT2A 1 FinalAnswer 2006-04-19 10:13:44.0 2006-04-19 10:13:49.0 2006-04-19 10:13:49.0 2006-04-19 10:15:18.0 9 9 1 0 0 2 combine-like-terms-sp 25 826122 0w8srd7i18 Unit CTA1_08, Section CTA1_08-3 DEC04 1 R3C1 2006-04-27 10:34:50.0 2006-04-27 10:34:52.0 2006-04-27 10:34:52.0 2006-04-27 10:34:52.0 2 2 1 0 0 1 Define Variable 19 826379 0w8srd7i18 Unit ES_04, Section ES_04-10 EG57A 1 FinalAnswer 2006-05-18 10:10:46.0 2006-05-18 10:10:49.0 2006-05-18 10:10:49.0 2006-05-18 10:13:43.0 86 86 1 3 0 5 simplify-fractions-sp~~combine-like-terms-sp~~perform-mult-sp~~perform-mult-r-sp 45~~45~~1~~3 826568 5rwOvj7Gu3 Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 R5C2 2006-03-02 10:25:08.0 2006-03-02 10:25:12.0 2006-03-02 10:25:12.0 2006-03-02 10:25:12.0 4 4 1 0 0 1 Entering a given 14 826876 5rwOvj7Gu3 Unit ES_03, Section ES_03-7 LIT2 1 -b = x-y 2006-03-21 10:10:34.0 2006-03-21 10:10:54.0 2006-03-21 10:10:54.0 2006-03-21 10:10:54.0 20 20 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 44~~4 827081 5rwOvj7Gu3 Unit CTA1_08, Section CTA1_08-3 NOV13 1 R2C1 2006-04-20 10:33:26.0 2006-04-20 10:33:29.0 2006-04-20 10:33:29.0 2006-04-20 10:33:29.0 3 3 1 0 0 1 Identifying units 25 827383 5rwOvj7Gu3 Unit ES_04, Section ES_04-12 EG58A 2 constant terms1R1 2006-05-11 10:43:49.0 2006-05-11 10:43:51.0 2006-05-11 10:43:51.0 2006-05-11 10:43:51.0 2 2 1 0 0 1 827553 6EjPt2xgrB Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 yMax 2006-02-21 10:40:29.0 2006-02-21 10:40:33.0 2006-02-21 10:40:33.0 2006-02-21 10:40:33.0 4 4 1 0 0 1 Changing axis bounds 15 827831 6EjPt2xgrB Unit ES_03, Section ES_03-7 LIT18 1 v = 6/(-t) 2006-04-20 10:11:12.0 2006-04-20 10:11:17.0 2006-04-20 10:11:17.0 2006-04-20 10:11:17.0 5 5 1 0 0 1 827976 6EjPt2xgrB Unit CTA1_08, Section CTA1_08-2 FEB09 1 R3C2 2006-05-02 10:28:33.0 2006-05-02 10:29:03.0 2006-05-02 10:29:03.0 2006-05-02 10:29:03.0 30 30 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, negative slope 14~~20~~4 828046 9aw67h1Z47 Unit CTA1_10, Section CTA1_10-6 DISTFB12_SP 1 60H+50 = 395 2006-03-02 09:50:14.0 2006-03-02 09:50:20.0 2006-03-02 09:50:20.0 2006-03-02 09:50:20.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 2 828149 9aw67h1Z47 Unit ES_07, Section ES_07-4 LIT69A 1 FinalAnswer 2006-03-02 10:18:16.0 2006-03-02 10:18:29.0 2006-03-02 10:18:29.0 2006-03-02 10:18:29.0 13 13 1 0 0 1 factor-sp 7 828335 9aw67h1Z47 Unit CTA1_12, Section CTA1_12-3 SYSFB12 1 YLabel 2006-03-21 10:04:16.0 2006-03-21 10:04:21.0 2006-03-21 10:04:28.0 2006-03-21 10:04:28.0 12 12 0 1 0 1 Labelling the axes 9 828598 9aw67h1Z47 Unit ES_05, Section ES_05-9 EG62 1 46.66y = 3.13+42.72y 2006-03-30 10:06:38.0 2006-03-30 10:06:48.0 2006-03-30 10:06:48.0 2006-03-30 10:06:48.0 10 10 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 31 829001 9aw67h1Z47 Unit CTA1_14, Section CTA1_14-4 2PTFB10 2 7H+51 = 96 2006-04-27 09:53:24.0 2006-04-27 09:53:30.0 2006-04-27 09:53:30.0 2006-04-27 09:53:30.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 89 829353 9aw67h1Z47 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 2X+3YGT9 1 GraphChoice1 2006-05-11 10:55:05.0 2006-05-11 10:55:07.0 2006-05-11 10:55:07.0 2006-05-11 10:55:07.0 2 2 1 0 0 1 829801 9aw67h1Z47 Unit CTA1_15, Section CTA1_15-3 SYS10 1 yScale 2006-05-22 10:16:53.0 2006-05-22 10:17:03.0 2006-05-22 10:17:03.0 2006-05-22 10:17:29.0 36 36 1 0 0 10 Changing axis intervals 35 829811 9aw67h1Z47 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE1TRE 1 R3C1 2006-05-22 10:21:57.0 2006-05-22 10:22:03.0 2006-05-22 10:22:03.0 2006-05-22 10:22:03.0 6 6 1 0 0 1 Define Variable 53 829868 9FFmzviIHD Unit CTA1_08, Section CTA1_08-3 JAN12 1 R2C1 2006-02-21 10:22:28.0 2006-02-21 10:22:30.0 2006-02-21 10:22:30.0 2006-02-21 10:22:30.0 2 2 1 0 0 1 Identifying units 5 830212 9FFmzviIHD Unit ES_04, Section ES_04-12 EG58A 1 -41 = -3x+6-6 2006-03-30 10:36:30.0 2006-03-30 10:36:40.0 2006-03-30 10:36:40.0 2006-03-30 10:36:40.0 10 10 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 24 830843 9FFmzviIHD Unit CTA1_10, Section CTA1_10-6 DISTFB10_SP 1 R6C1 2006-05-16 10:34:35.0 2006-05-16 10:34:41.0 2006-05-16 10:34:41.0 2006-05-16 10:34:41.0 0 0 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 41~~36~~36 831020 9FFmzviIHD Unit ES_07, Section ES_07-4 LIT65A 1 k*s2R1 2006-05-22 10:05:09.0 2006-05-22 10:05:11.0 2006-05-22 10:05:11.0 2006-05-22 10:05:11.0 2 2 1 0 0 1 831168 GD16TzL1x4 Unit CTA1_13, Section CTA1_13-1 PROP13 2 R2C1 2006-03-21 10:20:53.0 2006-03-21 10:20:53.0 2006-03-21 10:20:53.0 1 0 0 1 Identifying units 6 831470 GD16TzL1x4 Unit CTA1_06, Section CTA1_06-3 FEB04 1 R1C1 2006-05-25 10:37:01.0 2006-05-25 10:37:12.0 2006-05-25 10:37:12.0 2006-05-25 10:37:12.0 11 11 1 0 0 1 831762 P5t2zh16z0 Unit ES_04, Section ES_04-15 LIT60 1 u+q = c*w/(n*b) 2006-03-07 10:03:53.0 2006-03-07 10:04:00.0 2006-03-07 10:04:00.0 2006-03-07 10:04:00.0 7 7 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 13 832060 P5t2zh16z0 Unit CTA1_10, Section CTA1_10-6 DISTFB11_SP 1 R4C1 2006-03-21 10:56:52.0 2006-03-21 10:56:57.0 2006-03-21 10:56:57.0 2006-03-21 10:56:57.0 5 5 1 0 0 1 Entering a given~~Convert unit, standard 61~~3 832274 P5t2zh16z0 Unit ES_07, Section ES_07-6 LIT72A 1 (n+q)/s*s = c*s 2006-03-30 10:48:27.0 2006-03-30 10:48:38.0 2006-03-30 10:48:38.0 2006-03-30 10:48:46.0 19 19 1 0 0 2 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] 7 832578 P5t2zh16z0 Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 R3C3 2006-04-20 10:48:50.0 2006-04-20 10:50:13.0 2006-04-20 10:50:13.0 2006-04-20 10:50:13.0 83 83 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 46~~32~~26 832815 P5t2zh16z0 Unit ES_05, Section ES_05-12 LIT88 1 x+4y = 0 2006-05-02 10:41:17.0 2006-05-02 10:41:25.0 2006-05-02 10:41:25.0 2006-05-02 10:41:25.0 8 8 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 137 833024 P5t2zh16z0 Unit CTA1_14, Section CTA1_14-3 2PTFB12 2 4S = 180 2006-05-16 10:02:49.0 2006-05-16 10:02:54.0 2006-05-16 10:02:54.0 2006-05-16 10:02:54.0 5 5 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 65~~172 833277 pgHmAyjLe1 Unit CTA1_04, Section CTA1_04-3 L2FB15 1 R7C1 2006-03-30 10:20:15.0 2006-03-30 10:20:27.0 2006-03-30 10:20:27.0 2006-03-30 10:20:27.0 12 12 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 37~~14~~40 833593 pgHmAyjLe1 Unit ES_02, Section ES_02-10 EG44 1 -8x/-8 = -4/-8 2006-05-15 10:11:13.0 2006-05-15 10:11:30.0 2006-05-15 10:11:30.0 2006-05-15 10:11:30.0 17 17 1 0 0 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 11 833684 pgHmAyjLe1 Unit CTA1_13, Section CTA1_13-1 PROP09 1 R7C1 2006-05-25 10:41:01.0 2006-05-25 10:41:04.0 2006-05-25 10:41:28.0 2006-05-25 10:41:28.0 7 7 0 1 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 64~~24~~64 834078 pI9Tpj13ty Unit CTA1_12, Section CTA1_12-5 SYSFB05 2 R7C3 2006-03-02 10:06:11.0 2006-03-02 10:06:12.0 2006-03-02 10:06:12.0 1 1 0 1 0 0 834380 pI9Tpj13ty Unit ES_05, Section ES_05-8 EG61 1 -5.34973y/1.18 = (1.18y-11.09)/1.18 2006-03-07 10:51:36.0 2006-03-07 10:51:44.0 2006-03-07 10:52:35.0 2006-03-07 10:52:55.0 79 79 0 8 0 1 834857 pI9Tpj13ty Unit CTA1_14, Section CTA1_14-4 IPCCHEF 1 80-9/2*D = 0 2006-04-20 10:57:23.0 2006-04-20 10:57:27.0 2006-04-20 10:57:27.0 2006-04-20 10:57:27.0 4 4 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 91 835263 pI9Tpj13ty Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLT3X+5 1 Formula 1 Coeff 0 2006-05-02 10:40:00.0 2006-05-02 10:40:01.0 2006-05-02 10:40:01.0 2006-05-02 10:40:01.0 1 1 1 0 0 1 Placing coordinate point 53 835504 pI9Tpj13ty Unit CTA1_15, Section CTA1_15-3 SYS06 1 R6C1 2006-05-11 10:30:29.0 2006-05-11 10:30:37.0 2006-05-11 10:49:15.0 2006-05-11 10:49:15.0 69 69 0 11 4 1 Using simple numbers~~Using large numbers~~Find X, positive slope 126~~74~~41 835698 pI9Tpj13ty Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE7TRE 1 R2C3 2006-05-18 10:17:35.0 2006-05-18 10:17:37.0 2006-05-18 10:17:37.0 2006-05-18 10:17:37.0 2 2 1 0 0 1 Identifying units 122 835850 pI9Tpj13ty Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR05 1 FQCheckButton 2006-05-18 11:00:44.0 2006-05-18 11:00:45.0 2006-05-18 11:00:45.0 2006-05-18 11:00:45.0 1 1 1 0 0 1 836181 PRr0oy2KyT Unit CTA1_06, Section CTA1_06-4 L6FB07 1 R6C2 2006-03-07 10:21:58.0 2006-03-07 10:22:02.0 2006-03-07 10:22:02.0 2006-03-07 10:22:02.0 4 4 1 0 0 1 Entering a given 45 836587 PRr0oy2KyT Unit ES_03, Section ES_03-5 EG52 1 -1.9y/-1.9 = -4.1/-1.9 2006-04-27 10:39:38.0 2006-04-27 10:39:48.0 2006-04-27 10:39:48.0 2006-04-27 10:39:48.0 10 10 1 0 0 1 836826 PRr0oy2KyT Unit CTA1_08, Section CTA1_08-2 REAL31 1 yMin 2006-05-11 10:06:14.0 2006-05-11 10:06:28.0 2006-05-11 10:06:28.0 2006-05-11 10:06:28.0 14 14 1 0 0 1 Changing axis bounds 86 837199 qkmLNnC7YU Unit ES_02, Section ES_02-10 EG44 2 10/y = -6 2006-05-11 10:45:45.0 2006-05-11 10:45:50.0 2006-05-11 10:45:50.0 2006-05-11 10:45:50.0 5 5 1 0 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 10 837218 qkmLNnC7YU Unit CTA1_13, Section CTA1_13-1 PROP04 1 R7C1 2006-05-11 10:54:53.0 2006-05-11 10:55:03.0 2006-05-11 10:55:03.0 2006-05-11 10:55:03.0 0 0 1 0 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 3~~1~~3 837297 R440Y09vu3 Unit CTA1_08, Section CTA1_08-3 BH1T07 1 Formula 1 Coeff 0 2006-02-21 10:16:39.0 2006-02-21 10:16:44.0 2006-02-21 10:16:44.0 2006-02-21 10:16:44.0 5 5 1 0 0 1 Setting the y-intercept 5 837733 R440Y09vu3 Unit ES_04, Section ES_04-15 LIT59 1 x+y = (v-s-b)/r 2006-03-07 10:51:53.0 2006-03-07 10:51:59.0 2006-03-07 10:51:59.0 2006-03-07 10:51:59.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 68 838035 R440Y09vu3 Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 0.25(D+56) = 64 2006-04-20 10:33:39.0 2006-04-20 10:33:47.0 2006-04-20 10:33:47.0 2006-04-20 10:33:47.0 8 8 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 78 838425 R440Y09vu3 Unit ES_07, Section ES_07-6 LIT72A 1 n+q-q = c*s-q 2006-05-15 09:55:24.0 2006-05-15 09:55:26.0 2006-05-15 09:55:26.0 2006-05-15 09:55:32.0 8 8 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 71 838505 R440Y09vu3 Unit CTA1_12, Section CTA1_12-2 SYS03 1 XLabel 2006-05-16 10:01:30.0 2006-05-16 10:01:49.0 2006-05-16 10:01:57.0 2006-05-16 10:01:57.0 23 23 0 1 0 1 Labelling the axes 18 838615 tLgc420s9N Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 yMin 2006-02-21 10:36:29.0 2006-02-21 10:36:35.0 2006-02-21 10:36:35.0 2006-02-21 10:36:36.0 7 7 1 0 0 2 Changing axis bounds 11 838822 tLgc420s9N Unit ES_03, Section ES_03-6 EG51 2 -3.4/-3.3 = -3.3y/-3.3 2006-03-07 09:52:57.0 2006-03-07 09:53:01.0 2006-03-07 09:53:01.0 2006-03-07 09:53:15.0 18 18 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 12 839141 tLgc420s9N Unit CTA1_08, Section CTA1_08-3 L5FB02 1 YLabel 2006-04-20 09:58:13.0 2006-04-20 09:58:20.0 2006-04-20 09:58:20.0 2006-04-20 09:58:20.0 7 7 1 0 0 1 Labelling the axes 40 839470 tLgc420s9N Unit ES_04, Section ES_04-13 LIT36 1 -n = 6z 2006-05-15 10:01:16.0 2006-05-15 10:01:28.0 2006-05-15 10:01:40.0 2006-05-15 10:01:40.0 24 24 0 0 2 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 110 839686 tLgc420s9N Unit CTA1_10, Section CTA1_10-2 DIST03_SP 1 R6C1 2006-05-18 10:48:08.0 2006-05-18 10:48:33.0 2006-05-18 10:50:24.0 2006-05-18 10:50:24.0 42 42 0 2 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 31~~13~~11 839732 Uml72Q91Du Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 yMin 2006-02-21 09:47:11.0 2006-02-21 09:47:28.0 2006-02-21 09:47:56.0 40 40 0 2 1 0 Changing axis bounds 2 839865 Uml72Q91Du Unit ES_03, Section ES_03-6 EG51A 1 -8.5 = 33.7y-25.6y 2006-02-21 10:29:11.0 2006-02-21 10:29:41.0 2006-02-21 10:29:41.0 2006-02-21 10:29:41.0 30 30 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 32 840079 Uml72Q91Du Unit CTA1_08, Section CTA1_08-3 NOV13 1 R3C2 2006-03-02 10:30:04.0 2006-03-02 10:30:28.0 2006-03-02 10:30:36.0 2006-03-02 10:30:36.0 32 32 0 1 0 1 Using simple numbers~~Using small numbers~~Write expression, negative slope 4~~9~~2 840389 Uml72Q91Du Unit ES_04, Section ES_04-15 LIT59 1 b+r*(x+y)-b = v-s-b 2006-04-19 10:00:42.0 2006-04-19 10:00:45.0 2006-04-19 10:00:45.0 2006-04-19 10:00:45.0 3 3 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 49 840567 Uml72Q91Du Unit CTA1_10, Section CTA1_10-3 DISTFB06_SP 1 R4C2 2006-04-27 10:11:06.0 2006-04-27 10:11:08.0 2006-04-27 10:11:12.0 6 6 0 0 2 0 Using small numbers~~Using difficult numbers~~Find Y, any form 37~~29~~3 840766 Uml72Q91Du Unit ES_07, Section ES_07-4 LIT63A 1 di-expr 2006-05-11 10:48:19.0 2006-05-11 10:49:05.0 2006-05-11 10:49:05.0 2006-05-11 10:49:05.0 46 46 1 0 0 1 840822 Uml72Q91Du Unit CTA1_12, Section CTA1_12-1 LDEMO_SYS 1 YLabel 2006-05-15 10:13:02.0 2006-05-15 10:13:06.0 2006-05-15 10:13:06.0 2006-05-15 10:13:06.0 4 4 1 0 0 1 Labelling the axes 34 840843 ySs2g6X4Jx Unit CTA1_10, Section CTA1_10-6 DISTFB12_SP 1 R4C1 2006-02-21 09:54:36.0 2006-02-21 09:55:51.0 2006-02-21 09:55:51.0 2006-02-21 09:55:51.0 75 75 1 0 0 1 Entering a given 1 841013 ySs2g6X4Jx Unit ES_07, Section ES_07-4 LIT62A 2 c*j+s*u+w*u = n*q-w*u+w*u 2006-02-21 10:45:53.0 2006-02-21 10:45:56.0 2006-02-21 10:45:56.0 2006-02-21 10:46:12.0 19 19 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 21 841342 ySs2g6X4Jx Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 R2C3 2006-03-21 09:47:58.0 2006-03-21 09:47:59.0 2006-03-21 09:47:59.0 2006-03-21 09:47:59.0 1 1 1 0 0 1 Identifying units 30 841545 ySs2g6X4Jx Unit ES_05, Section ES_05-6 EG60 4 6x-8 = 8-9x 2006-03-21 10:42:53.0 2006-03-21 10:43:05.0 2006-03-21 10:43:05.0 2006-03-21 10:43:05.0 12 12 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 38 842030 ySs2g6X4Jx Unit CTA1_14, Section CTA1_14-4 IPCRETIREMENT 3 R2C2 2006-05-22 09:47:21.0 2006-05-22 09:51:37.0 2006-05-22 09:51:37.0 2006-05-22 09:51:37.0 256 256 1 0 0 1 Identifying units 68 842097 5gtqSDwEt1 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 constant factorsR2 2006-03-13 12:52:15.0 2006-03-13 12:52:20.0 2006-03-13 12:52:20.0 2006-03-13 12:52:20.0 5 5 1 0 0 1 perform-mult-row2-sp 15 842281 5gtqSDwEt1 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 3 row1-N-y 2006-03-13 13:21:37.0 2006-03-13 13:21:38.0 2006-03-13 13:21:38.0 2006-03-13 13:21:38.0 1 1 1 0 0 1 842579 5gtqSDwEt1 Unit CTA1_24, Section CTA1_24-1 REAL29 1 R3C1 2006-03-17 12:58:06.0 2006-03-17 12:58:08.0 2006-03-17 12:58:08.0 2006-03-17 12:58:08.0 2 2 1 0 0 1 Define Variable 15 842849 5gtqSDwEt1 Unit CTA1_25, Section CTA1_25-1 REAL48 1 YLabel 2006-04-07 13:07:00.0 2006-04-07 13:07:05.0 2006-04-07 13:07:09.0 2006-04-07 13:07:09.0 9 9 0 1 0 1 Labelling the axes 27 842869 68xd8R3v7U Unit CTA1_01, Section CTA1_01-3 REAL20 1 R2C1 2006-05-18 12:52:04.0 2006-05-18 12:52:08.0 2006-05-18 12:52:39.0 35 35 0 2 0 0 Identifying units 2 842897 8fyjxTqDpQ Unit CTA1_01, Section CTA1_01-4 JAN04A 1 R4C2 2006-02-22 12:26:03.0 2006-02-22 12:26:31.0 2006-02-22 12:26:31.0 2006-02-22 12:26:31.0 28 28 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 8~~2~~6 843168 8fyjxTqDpQ Unit CTA1_02, Section CTA1_02-4 REAL19C 1 R3C2 2006-03-16 20:45:26.0 2006-03-16 20:45:51.0 2006-03-16 20:51:10.0 2006-03-16 20:51:10.0 339 339 0 7 2 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 77~~33~~3 843337 8fyjxTqDpQ Unit ES_01, Section ES_01-6 EG22 4 1 = x+8 2006-03-16 21:32:22.0 2006-03-16 21:32:30.0 2006-03-16 21:32:30.0 2006-03-16 21:32:30.0 8 8 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 8~~3 843426 90o991hXMa Unit CTA1_01, Section CTA1_01-4 L1FB12 1 R3C1 2006-02-21 13:50:39.0 2006-02-21 13:50:41.0 2006-02-21 13:50:41.0 2006-02-21 13:50:41.0 2 2 1 0 0 1 Define Variable 5 843712 90o991hXMa Unit CTA1_02, Section CTA1_02-4 REAL19A 1 R5C1 2006-02-22 12:51:28.0 2006-02-22 12:51:32.0 2006-02-22 12:51:32.0 2006-02-22 12:51:32.0 4 4 1 0 0 1 Entering a given 65 844065 90o991hXMa Unit CTA1_08, Section CTA1_08-3 FEB08 1 yMax 2006-03-15 12:07:47.0 2006-03-15 12:07:53.0 2006-03-15 12:09:10.0 2006-03-15 12:09:10.0 49 49 0 6 3 1 Changing axis bounds 53 844096 90o991hXMa Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS07 2 (6y^4)(y^4) 2006-05-08 20:20:58.0 2006-05-08 20:21:07.0 2006-05-08 20:21:07.0 2006-05-08 20:21:07.0 9 9 1 0 0 1 844428 90o991hXMa Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01-FIXED 1 FinalAnswer 2006-05-19 12:34:11.0 2006-05-19 12:34:16.0 2006-05-19 12:34:29.0 2006-05-19 12:34:29.0 18 18 0 0 1 1 simplify-fractions-sp 33 844687 90o991hXMa Unit CTA1_20, Section CTA1_20-1 2PTS03 1 R2C2 2006-05-19 12:57:28.0 2006-05-19 12:58:01.0 2006-05-19 12:58:01.0 2006-05-19 12:58:01.0 33 33 1 0 0 1 Identifying units 64 844776 90o991hXMa Unit CTA1_24, Section CTA1_24-1 PERCENT15 1 R6C2 2006-05-21 20:21:19.0 2006-05-21 20:21:33.0 2006-05-21 20:21:33.0 2006-05-21 20:21:33.0 14 14 1 0 0 1 Entering a given 106 844967 90o991hXMa Unit CTA1_25, Section CTA1_25-1 BH1T50 1 R1C1 2006-05-22 12:48:43.0 2006-05-22 12:49:10.0 2006-05-22 12:49:10.0 2006-05-22 12:49:10.0 27 27 1 0 0 1 845169 B5VRXIQ2Ji Unit CTA1_02, Section CTA1_02-4 REAL28 1 R3C1 2006-03-06 12:55:32.0 2006-03-06 12:55:42.0 2006-03-06 12:55:42.0 2006-03-06 12:55:42.0 10 10 1 0 0 1 Define Variable 7 845239 B5VRXIQ2Ji Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 (3(x^2)(y^3))(4y^4) 2006-04-03 13:05:01.0 2006-04-03 13:05:09.0 2006-04-03 13:05:09.0 2006-04-03 13:05:09.0 8 8 1 0 0 1 845342 B5VRXIQ2Ji Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 1 (2y^5)/y^6 2006-04-07 12:19:05.0 2006-04-07 12:19:09.0 2006-04-07 12:19:09.0 2006-04-07 12:19:09.0 4 4 1 0 0 1 845482 B5VRXIQ2Ji Unit CTA1_24, Section CTA1_24-1 L3REAL45 1 R2C1 2006-04-26 12:35:02.0 2006-04-26 12:35:08.0 2006-04-26 12:35:08.0 2006-04-26 12:35:08.0 6 6 1 0 0 1 Identifying units 18 845612 biX0v423q0 Unit CTA1_02, Section CTA1_02-3 BH1T39A 1 xMax 2006-02-24 12:09:52.0 2006-02-24 12:10:14.0 2006-02-24 12:11:25.0 2006-02-24 12:11:25.0 52 52 0 2 0 1 Changing axis bounds 12 845978 biX0v423q0 Unit CTA1_08, Section CTA1_08-3 BH1T07 1 R2C2 2006-04-27 12:41:47.0 2006-04-27 12:41:50.0 2006-04-27 12:41:50.0 2006-04-27 12:41:50.0 3 3 1 0 0 1 Identifying units 44 846044 biX0v423q0 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS09 3 (5y^4)(5y^3) 2006-04-28 12:28:00.0 2006-04-28 12:28:05.0 2006-04-28 12:28:05.0 2006-04-28 12:28:05.0 5 5 1 0 0 1 846319 biX0v423q0 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01-FIXED 1 row3-N-y 2006-05-19 12:48:25.0 2006-05-19 12:48:27.0 2006-05-19 12:48:40.0 2006-05-19 12:48:40.0 15 15 0 1 0 1 846439 D431zXkvuC Unit CTA1_08, Section CTA1_08-3 DEC04 1 yMin 2006-02-22 12:38:14.0 2006-02-22 12:38:22.0 2006-02-22 12:38:22.0 2006-02-22 12:38:42.0 28 28 1 0 0 2 Changing axis bounds 13 846576 D431zXkvuC Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 y1R1 2006-03-15 12:32:13.0 2006-03-15 12:32:16.0 2006-03-15 12:32:16.0 2006-03-15 12:32:16.0 3 3 1 0 0 1 846932 D431zXkvuC Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01 2 row1-N-constant factors 2006-03-28 13:20:52.0 2006-03-28 13:21:24.0 2006-03-28 13:21:24.0 2006-03-28 13:21:24.0 32 32 1 0 0 1 847052 D431zXkvuC Unit CTA1_24, Section CTA1_24-1 PERCENT07 1 R6C2 2006-04-20 13:54:16.0 2006-04-20 13:54:22.0 2006-04-20 13:54:22.0 2006-04-20 13:54:22.0 6 6 1 0 0 1 Entering a given 25 847188 D431zXkvuC Unit CTA1_25, Section CTA1_25-1 PERCENT09 1 R5C1 2006-04-25 14:20:29.0 2006-04-25 14:20:42.0 2006-04-25 14:20:42.0 2006-04-25 14:20:42.0 13 13 1 0 0 1 Entering a given~~Convert unit, mixed 52~~2 847309 Fe9oJAU48c Unit CTA1_01, Section CTA1_01-3 L3NOV07A 1 R3C1 2006-02-24 12:08:52.0 2006-02-24 12:08:57.0 2006-02-24 12:08:57.0 2006-02-24 12:08:57.0 5 5 1 0 0 1 Define Variable 9 847559 Fe9oJAU48c Unit CTA1_02, Section CTA1_02-4 REAL28 1 R4C2 2006-04-20 13:08:28.0 2006-04-20 13:08:31.0 2006-04-20 13:08:31.0 2006-04-20 13:08:31.0 3 3 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, negative slope 92~~45~~18 847806 Fe9oJAU48c Unit CTA1_08, Section CTA1_08-3 BH1T07 1 Formula 1 Coeff 1 2006-04-28 12:40:57.0 2006-04-28 12:41:00.0 2006-04-28 12:41:02.0 2006-04-28 12:41:02.0 5 5 0 1 0 1 Setting the slope 17 847868 Fe9oJAU48c Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 yR2 2006-04-28 13:05:30.0 2006-04-28 13:05:38.0 2006-04-28 13:05:38.0 2006-04-28 13:05:38.0 8 8 1 0 0 1 perform-mult-row2-sp 20 847908 Fe9oJAU48c Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-1 EG-EQS06 4 (x^5)/x^3 2006-05-05 12:49:47.0 2006-05-05 12:50:27.0 2006-05-05 12:50:27.0 2006-05-05 12:50:27.0 40 40 1 0 0 1 848189 kh6j72S63h Unit CTA1_08, Section CTA1_08-3 BH1T07 1 Formula 1 Coeff 0 2006-04-05 13:01:40.0 2006-04-05 13:01:58.0 2006-04-05 13:01:58.0 2006-04-05 13:01:58.0 18 18 1 0 0 1 Setting the y-intercept 19 848306 kh6j72S63h Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 yR2 2006-04-07 12:30:09.0 2006-04-07 12:30:18.0 2006-04-07 12:30:18.0 2006-04-07 12:30:18.0 9 9 1 0 0 1 perform-mult-row2-sp 17 848523 kh6j72S63h Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS09 4 row1-D-y 2006-04-24 13:06:25.0 2006-04-24 13:06:30.0 2006-04-24 13:06:30.0 2006-04-24 13:06:30.0 5 5 1 0 0 1 848594 P5w9xdB3VM Unit CTA1_01, Section CTA1_01-4 JAN04C 1 R3C1 2006-02-22 12:09:58.0 2006-02-22 12:10:00.0 2006-02-22 12:10:00.0 2006-02-22 12:10:00.0 2 2 1 0 0 1 Define Variable 1 848716 P5w9xdB3VM Unit CTA1_02, Section CTA1_02-3 L3NOV10A 1 xMax 2006-02-22 12:50:25.0 2006-02-22 12:50:41.0 2006-02-22 12:50:41.0 2006-02-22 12:50:41.0 16 16 1 0 0 2 Changing axis bounds 11 849046 P5w9xdB3VM Unit CTA1_08, Section CTA1_08-3 FEB08 1 R1C1 2006-04-05 12:22:21.0 2006-04-05 12:22:30.0 2006-04-05 12:22:30.0 2006-04-05 12:22:30.0 9 9 1 0 0 1 849204 P5w9xdB3VM Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 3 yR2 2006-04-07 12:32:58.0 2006-04-07 12:33:04.0 2006-04-07 12:33:04.0 2006-04-07 12:33:04.0 6 6 1 0 0 1 perform-mult-row2-sp 32 849260 P5w9xdB3VM Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-1 EG-EQS05 3 row3-N-y 2006-04-07 13:01:20.0 2006-04-07 13:01:26.0 2006-04-07 13:01:26.0 2006-04-07 13:01:26.0 6 6 1 0 0 1 849342 pg8uPBYamG Unit CTA1_02, Section CTA1_02-3 L3NOV12 1 R2C2 2006-02-21 13:02:12.0 2006-02-21 13:02:20.0 2006-02-21 13:02:20.0 2006-02-21 13:02:20.0 8 8 1 0 0 1 Identifying units 4 849566 pg8uPBYamG Unit CTA1_08, Section CTA1_08-3 DEC04 1 R3C1 2006-03-06 13:06:13.0 2006-03-06 13:06:15.0 2006-03-06 13:06:15.0 2006-03-06 13:06:15.0 2 2 1 0 0 1 Define Variable 19 849708 pg8uPBYamG Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS08 1 FinalAnswer 2006-04-24 13:11:34.0 2006-04-24 13:12:02.0 2006-04-24 13:12:02.0 2006-04-24 13:12:02.0 28 28 1 0 0 1 perform-mult-sp 9 849748 pg8uPBYamG Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS02 1 row1-N-x 2006-04-24 13:31:21.0 2006-04-24 13:31:30.0 2006-04-24 13:31:30.0 2006-04-24 13:31:30.0 9 9 1 0 0 1 849774 pg8uPBYamG Unit CTA1_20, Section CTA1_20-1 1PTB05 1 R3C1 2006-04-24 13:46:31.0 2006-04-24 13:46:34.0 2006-04-24 13:46:34.0 2006-04-24 13:46:34.0 3 3 1 0 0 1 Define Variable 28 849880 pg8uPBYamG Unit CTA1_24, Section CTA1_24-1 DEMO_5 1 R3C2 2006-04-25 12:29:46.0 2006-04-25 12:30:19.0 2006-04-25 12:31:46.0 2006-04-25 12:31:46.0 120 120 0 3 5 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 52~~53~~31 850054 pg8uPBYamG Unit CTA1_25, Section CTA1_25-1 REAL35 1 R1C2 2006-04-26 12:06:02.0 2006-04-26 12:07:23.0 2006-04-26 12:07:23.0 2006-04-26 12:07:23.0 81 81 1 0 0 1 850233 PSEDQ6XC7U Unit CTA1_01, Section CTA1_01-4 JAN04 1 R6C1 2006-02-22 12:20:50.0 2006-02-22 12:20:54.0 2006-02-22 12:20:54.0 2006-02-22 12:20:54.0 4 4 1 0 0 1 Entering a given 7 850430 PSEDQ6XC7U Unit CTA1_02, Section CTA1_02-4 REAL19A 1 yMax 2006-02-24 13:08:44.0 2006-02-24 13:09:03.0 2006-02-24 13:09:03.0 2006-02-24 13:09:03.0 19 19 1 0 0 1 Changing axis bounds 18 850639 PSEDQ6XC7U Unit CTA1_08, Section CTA1_08-2 REAL31 1 XUnit 2006-03-15 12:22:45.0 2006-03-15 12:22:49.0 2006-03-15 12:22:49.0 2006-03-15 12:22:49.0 4 4 1 0 0 1 850854 PSEDQ6XC7U Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 x2R1 2006-04-28 12:59:36.0 2006-04-28 12:59:39.0 2006-04-28 12:59:39.0 2006-04-28 12:59:39.0 3 3 1 0 0 1 850905 PSEDQ6XC7U Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-1 EG-EQS05 1 (y^6)/y^4 2006-05-15 13:03:27.0 2006-05-15 13:03:42.0 2006-05-15 13:03:48.0 2006-05-15 13:15:47.0 258 258 0 1 0 2 850992 ub1y4M34bR Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 yR2 2006-03-13 13:06:21.0 2006-03-13 13:06:26.0 2006-03-13 13:06:26.0 2006-03-13 13:06:26.0 5 5 1 0 0 1 perform-mult-row2-sp 20 851276 ub1y4M34bR Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 1 row3-D-x 2006-03-15 12:41:59.0 2006-03-15 12:42:02.0 2006-03-15 12:42:02.0 2006-03-15 12:42:02.0 3 3 1 0 0 1 851391 ub1y4M34bR Unit CTA1_24, Section CTA1_24-1 REAL06 1 R6C1 2006-03-17 12:58:12.0 2006-03-17 12:58:18.0 2006-03-17 13:05:02.0 360 360 0 11 6 0 Entering a given 31 851694 ub1y4M34bR Unit CTA1_25, Section CTA1_25-1 PERCENT18 1 0.28X = 2800 2006-04-07 12:24:04.0 2006-04-07 12:24:11.0 2006-04-07 12:24:11.0 2006-04-07 12:24:11.0 7 7 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 32~~32 851899 wwV3RhdO1l Unit CTA1_08, Section CTA1_08-3 FEB08 1 YUnit 2006-02-22 12:43:49.0 2006-02-22 12:43:52.0 2006-02-22 12:43:52.0 2006-02-22 12:43:52.0 3 3 1 0 0 1 851963 wwV3RhdO1l Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01-FIXED 1 y2R1 2006-03-13 12:52:09.0 2006-03-13 12:52:11.0 2006-03-13 12:52:11.0 2006-03-13 12:52:11.0 2 2 1 0 0 1 852070 wwV3RhdO1l Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS08 7 row2x 2006-05-19 13:05:35.0 2006-05-19 13:06:03.0 2006-03-15 12:50:14.0 2006-05-19 13:07:28.0 41 41 0 3 1 0 852301 YEEpIp3429 Unit CTA1_08, Section CTA1_08-3 NOV13 1 XLabel 2006-03-19 19:34:06.0 2006-03-19 19:34:13.0 2006-03-19 19:34:13.0 2006-03-19 19:34:13.0 7 7 1 0 0 1 Labelling the axes 27 852392 YEEpIp3429 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 1 FinalAnswer 2006-04-07 13:17:24.0 2006-04-07 13:17:30.0 2006-04-07 13:17:30.0 2006-04-07 13:17:30.0 6 6 1 0 0 1 perform-mult-sp 12 852437 yG447121nm Unit CTA1_01, Section CTA1_01-4 REAL32C 1 R3C1 2006-02-22 12:24:35.0 2006-02-22 12:24:40.0 2006-02-22 12:24:40.0 2006-02-22 12:24:40.0 5 5 1 0 0 1 Define Variable 4 852620 yG447121nm Unit CTA1_02, Section CTA1_02-3 L3NOV12A 1 R1C1 2006-02-22 14:07:34.0 2006-02-22 14:07:41.0 2006-02-22 14:07:41.0 2006-02-22 14:07:41.0 7 7 1 0 0 1 852824 yG447121nm Unit CTA1_08, Section CTA1_08-3 REAL10 1 XLabel 2006-03-17 12:45:24.0 2006-03-17 12:45:35.0 2006-03-17 12:45:35.0 2006-03-17 12:45:35.0 11 11 1 0 0 1 Labelling the axes 43 852890 yG447121nm Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-1 EG-EPS04-FIXED 1 (x^2)(x^5) 2006-04-03 12:49:55.0 2006-04-03 12:50:13.0 2006-04-03 12:50:24.0 2006-04-03 12:50:24.0 29 29 0 0 2 1 852957 2x0Z9q6jD0 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS07 5 (5y^5)(y^2) 2006-05-01 14:13:47.0 2006-05-01 14:13:49.0 2006-05-01 14:13:49.0 2006-05-01 14:13:49.0 2 2 1 0 0 1 853315 2x0Z9q6jD0 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS02 2 row3-D-y 2006-05-12 13:44:44.0 2006-05-12 13:44:45.0 2006-05-12 13:44:50.0 2006-05-12 13:44:50.0 4 4 0 1 0 1 853452 45oTz6NVkr Unit CTA1_13, Section CTA1_13-1 PROP13 2 2X = 630 2006-03-24 14:00:15.0 2006-03-24 14:00:27.0 2006-03-24 14:00:27.0 2006-03-24 14:00:27.0 12 12 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 8~~9 853619 45oTz6NVkr Unit CTA1_01, Section CTA1_01-3 BH1T34A 1 R1C1 2006-04-10 14:17:38.0 2006-04-10 14:17:40.0 2006-04-10 14:17:47.0 2006-04-10 14:17:47.0 9 9 0 0 2 1 853781 45oTz6NVkr Unit CTA1_02, Section CTA1_02-2 BH1T35A 1 R8C1 2006-05-10 14:01:50.0 2006-05-10 14:01:57.0 2006-05-10 14:01:57.0 2006-05-10 14:08:22.0 8 8 1 0 0 2 Entering a given 95 853934 7gJUbn9s1V Unit CTA1_02, Section CTA1_02-4 REAL28 1 R2C2 2006-02-24 14:25:13.0 2006-02-24 14:25:23.0 2006-02-24 14:25:23.0 2006-02-24 14:25:23.0 10 10 1 0 0 1 Identifying units 10 854064 7gJUbn9s1V Unit CTA1_08, Section CTA1_08-2 FEB02 1 XUnit 2006-04-07 14:10:24.0 2006-04-07 14:10:26.0 2006-04-07 14:10:26.0 2006-04-07 14:10:26.0 2 2 1 0 0 1 854216 Bp1ZMF9Z0G Unit ES_02, Section ES_02-5 EG40 5 3+6 = 9y 2006-03-31 13:57:08.0 2006-03-31 13:57:10.0 2006-03-31 13:57:10.0 2006-03-31 13:57:10.0 2 2 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 31 854501 dD5k5322J5 Unit CTA1_01, Section CTA1_01-3 DEC03A 1 R1C2 2006-03-29 13:56:40.0 2006-03-29 13:57:06.0 2006-03-29 13:57:06.0 2006-03-29 13:57:06.0 26 26 1 0 0 1 854735 dD5k5322J5 Unit CTA1_02, Section CTA1_02-3 L3NOV12B 1 R5C1 2006-04-07 14:09:41.0 2006-04-07 14:09:48.0 2006-04-07 14:09:48.0 2006-04-07 14:09:48.0 7 7 1 0 0 1 Entering a given~~Convert unit, standard 82~~7 854831 skGr9HCmqv Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 -1.25+0.15Y = 0 2006-04-07 13:33:21.0 2006-04-07 13:33:33.0 2006-04-07 13:33:33.0 2006-04-07 13:33:33.0 12 12 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 1 854888 5ddRYL0LBA Unit CTA1_24, Section CTA1_24-1 PROP16 1 R4C1 2006-03-24 13:36:12.0 2006-03-24 13:36:21.0 2006-03-24 13:36:21.0 2006-03-24 13:36:21.0 9 9 1 0 0 1 Entering a given 16 855049 5ddRYL0LBA Unit CTA1_25, Section CTA1_25-1 DEC07 1 R5C2 2006-04-10 14:21:18.0 2006-04-10 14:21:32.0 2006-04-10 14:24:13.0 22 22 0 3 0 0 Entering a given 54 855112 9NY3vclR8e Unit CTA1_24, Section CTA1_24-1 L5FB05 1 R6C1 2006-04-28 14:23:31.0 2006-04-28 14:24:46.0 2006-04-28 14:25:16.0 105 105 0 3 1 0 Entering a given 1 855177 cbgx682J78 Unit CTA1_08, Section CTA1_08-3 L5FB02 1 yMin 2006-03-03 13:49:16.0 2006-03-03 13:49:28.0 2006-03-03 13:49:28.0 2006-03-03 13:49:28.0 12 12 1 0 0 1 Changing axis bounds 3 855238 cbgx682J78 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 1 (4(x^5)(y^6))(y^6) 2006-03-22 13:50:48.0 2006-03-22 13:50:54.0 2006-03-22 13:50:54.0 2006-03-22 13:50:54.0 6 6 1 0 0 1 855281 cbgx682J78 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 2 (2(x^4)(y^6))/((x^4)(y^3)) 2006-03-24 13:23:22.0 2006-03-24 13:23:36.0 2006-03-24 13:23:36.0 2006-03-24 13:23:36.0 14 14 1 0 0 1 855305 cbgx682J78 Unit CTA1_20, Section CTA1_20-1 IPCSWIMMING 1 R1C2 2006-04-28 14:21:20.0 2006-04-28 14:22:05.0 2006-04-28 14:22:05.0 45 45 0 1 0 0 855349 cua2tdf6zb Unit CTA1_24, Section CTA1_24-1 PERCENT07 1 R2C2 2006-04-10 14:22:11.0 2006-04-10 14:22:14.0 2006-04-10 14:22:14.0 2006-04-10 14:22:14.0 3 3 1 0 0 1 Identifying units 7 855440 dD0vTK3gXD Unit CTA1_02, Section CTA1_02-4 REAL19A 1 R3C2 2006-03-01 13:45:56.0 2006-03-01 13:48:01.0 2006-03-01 13:52:26.0 2006-03-01 13:52:26.0 390 390 0 3 0 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 17~~12~~3 855519 dD0vTK3gXD Unit ES_01, Section ES_01-3 EG7B 1 x = 34*43 2006-03-03 13:28:15.0 2006-03-03 13:28:19.0 2006-03-03 13:28:19.0 2006-03-03 13:28:19.0 4 4 1 0 0 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] 3 855650 dD0vTK3gXD Unit CTA1_08, Section CTA1_08-2 BH1T04 1 R3C1 2006-03-24 13:44:29.0 2006-03-24 13:44:31.0 2006-03-24 13:44:31.0 2006-03-24 13:44:31.0 2 2 1 0 0 1 Define Variable 14 855731 dD0vTK3gXD Unit ES_04, Section ES_04-1 EG40 4 8 = -5y+1 2006-05-03 13:23:27.0 2006-05-03 13:23:33.0 2006-05-03 13:23:33.0 2006-05-03 13:23:33.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 5 855757 dD0vTK3gXD Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01-FIXED 1 FinalAnswer 2006-05-03 13:35:54.0 2006-05-03 13:36:46.0 2006-05-03 13:36:46.0 2006-05-03 13:36:46.0 52 52 1 0 0 1 perform-mult-sp 17 855795 dD0vTK3gXD Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS02 2 (6(x^5)(y^3))/y^3 2006-05-03 14:07:08.0 2006-05-03 14:07:19.0 2006-05-03 14:07:19.0 2006-05-03 14:07:19.0 11 11 1 0 0 1 855875 Dk2tRopWQ3 Unit CTA1_02, Section CTA1_02-4 BH1T29B 1 R1C1 2006-03-01 13:31:00.0 2006-03-01 13:32:18.0 2006-03-01 13:32:18.0 2006-03-01 13:32:18.0 78 78 1 0 0 1 856198 Dk2tRopWQ3 Unit CTA1_08, Section CTA1_08-3 FEB08 1 R3C2 2006-05-01 16:37:49.0 2006-05-01 16:38:10.0 2006-05-01 16:38:10.0 2006-05-01 16:38:10.0 21 21 1 0 0 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 38~~19~~24 856245 Dk2tRopWQ3 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS08 2 (5x^4)(6x^5) 2006-05-03 14:08:06.0 2006-05-03 14:08:09.0 2006-05-03 14:08:09.0 2006-05-03 14:08:09.0 3 3 1 0 0 1 856292 Dk2tRopWQ3 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 1 (2(x^5)(y^6))/((x^4)(y^5)) 2006-05-05 13:26:37.0 2006-05-05 13:26:41.0 2006-05-05 13:26:41.0 2006-05-05 13:26:41.0 4 4 1 0 0 1 856386 f1924U65I1 Unit CTA1_02, Section CTA1_02-4 REAL19A 1 R1C1 2006-02-21 12:50:53.0 2006-02-21 12:52:56.0 2006-02-21 12:52:56.0 2006-02-21 12:52:56.0 123 123 1 0 0 1 856431 f1924U65I1 Unit ES_01, Section ES_01-1 EG2 1 3+18 2006-02-21 13:32:23.0 2006-02-21 13:32:29.0 2006-02-21 13:32:29.0 2006-02-21 13:32:29.0 6 6 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 1 856622 f1924U65I1 Unit CTA1_08, Section CTA1_08-3 DEC04 1 Slope Field 1 2006-03-03 13:28:53.0 2006-03-03 13:28:57.0 2006-03-03 13:28:57.0 2006-03-03 13:28:57.0 4 4 1 0 0 1 Entering the slope 13 856804 f1924U65I1 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 FinalAnswer 2006-03-20 13:43:57.0 2006-03-20 13:44:06.0 2006-03-20 13:44:06.0 2006-03-20 13:44:06.0 9 9 1 0 0 1 perform-mult-sp 15 856903 f1924U65I1 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 3 (2(x^3)(y^2))/((x^3)(y^2)) 2006-03-22 13:58:07.0 2006-03-22 13:58:14.0 2006-03-22 13:58:14.0 2006-03-22 13:58:14.0 7 7 1 0 0 1 857015 f1924U65I1 Unit CTA1_24, Section CTA1_24-1 REAL29 1 R1C1 2006-04-07 11:59:39.0 2006-04-07 11:59:57.0 2006-04-07 11:59:57.0 2006-04-07 11:59:57.0 18 18 1 0 0 1 857185 f1924U65I1 Unit CTA1_25, Section CTA1_25-1 DEC07 1 R4C1 2006-04-10 12:27:38.0 2006-04-10 12:27:40.0 2006-04-10 12:27:40.0 2006-04-10 12:27:40.0 2 2 1 0 0 1 Entering a given 86 857348 f1924U65I1 Unit CTA1_26, Section CTA1_26-1 L3JAN02 1 Formula 1 Coeff 0 2006-04-11 12:30:37.0 2006-04-11 12:30:44.0 2006-04-11 12:30:44.0 2006-04-11 12:30:44.0 7 7 1 0 0 1 Setting the y-intercept 27 857444 f1924U65I1 Unit CTA1_27, Section CTA1_27-1 PERCENT17 1 R1C2 2006-04-20 12:40:58.0 2006-04-20 12:41:10.0 2006-04-20 12:41:10.0 2006-04-20 12:41:10.0 12 12 1 0 0 1 857554 LQDsuDw2tX Unit CTA1_08, Section CTA1_08-3 DEC04 1 R3C2 2006-03-01 13:50:25.0 2006-03-01 13:50:46.0 2006-03-01 13:51:16.0 2006-03-01 13:51:16.0 51 51 0 1 4 1 Using small numbers~~Using difficult numbers~~Write expression, initial and change 7~~3~~1 857681 LQDsuDw2tX Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 (4(x^6)(y^6))(3y^6) 2006-03-22 13:31:43.0 2006-03-22 13:31:48.0 2006-03-22 13:31:48.0 2006-03-22 13:31:48.0 5 5 1 0 0 1 857731 LQDsuDw2tX Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS09 3 FinalAnswer 2006-03-22 13:52:23.0 2006-03-22 13:52:40.0 2006-03-22 13:52:40.0 2006-03-22 13:52:40.0 17 17 1 0 0 1 simplify-fractions-sp~~perform-mult-r-sp 15~~3 857754 LQDsuDw2tX Unit CTA1_24, Section CTA1_24-1 FOR02 1 R5C2 2006-04-28 14:19:57.0 2006-04-28 14:20:04.0 2006-04-28 14:20:04.0 7 7 0 1 0 0 Using small numbers~~Using difficult numbers~~Find Y, any form 12~~5~~1 857775 XBhl87k165 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 1 FinalAnswer 2006-03-01 13:32:44.0 2006-03-01 13:33:37.0 2006-03-01 13:33:37.0 2006-03-01 13:33:37.0 53 53 1 0 0 1 perform-mult-sp 8 857812 XBhl87k165 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS08 4 FinalAnswer 2006-03-01 13:52:52.0 2006-03-01 13:53:39.0 2006-03-01 13:54:19.0 2006-03-01 13:54:19.0 87 87 0 1 0 1 simplify-fractions-sp~~perform-mult-sp 14~~16 857841 XBhl87k165 Unit CTA1_24, Section CTA1_24-1 L3REAL45 1 R4C2 2006-04-28 14:20:11.0 2006-04-28 14:20:27.0 2006-04-28 14:20:27.0 2006-04-28 14:20:27.0 16 16 1 0 0 1 Find Y, Simple~~Using simple numbers~~Using small numbers 1~~2~~2 857877 z2zuhnARi6 Unit CTA1_01, Section CTA1_01-4 JAN04B 1 R5C2 2006-03-02 12:13:18.0 2006-03-02 12:13:31.0 2006-03-02 12:13:31.0 2006-03-02 12:13:31.0 13 13 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 10~~4~~7 858024 z2zuhnARi6 Unit CTA1_02, Section CTA1_02-3 L3NOV10C 1 R2C2 2006-03-24 14:05:13.0 2006-03-24 14:05:19.0 2006-03-24 14:05:19.0 2006-03-24 14:05:19.0 6 6 1 0 0 1 Identifying units 17 858093 DRKr1AyP0r Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE4TRE 1 R7C1 2006-04-19 10:20:26.0 2006-04-19 10:20:58.0 2006-04-19 10:20:58.0 2006-04-19 10:20:58.0 32 32 1 0 0 1 Entering a computed linear value 6 858108 jxlpSn00qm Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE4TRE 1 R6C2 2006-02-24 13:12:49.0 2006-02-24 13:12:59.0 2006-02-24 13:12:59.0 2006-02-24 13:12:59.0 10 10 1 0 0 1 Entering a given~~Entering a given linear value 3~~3 858140 o0Q2M0X487 Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE4TRE 1 yMax 2006-04-19 10:09:32.0 2006-04-19 10:10:05.0 2006-04-19 10:19:07.0 2006-04-19 10:19:14.0 151 151 0 7 2 2 Changing axis bounds 2 858192 wRE6vq194f Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE1TRE 1 R5C3 2006-05-11 10:46:10.0 2006-05-11 10:46:19.0 2006-05-11 10:46:19.0 2006-05-11 10:46:19.0 9 9 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, any form~~Entering a computed quadratic value 12~~12~~4~~4 858289 16zN4n2fFO Unit CTA1_13, Section CTA1_13-1 PROP09 1 R5C1 2006-02-22 10:37:51.0 2006-02-22 10:37:56.0 2006-02-22 10:37:56.0 2006-02-22 10:37:56.0 5 5 1 0 0 1 Entering a given 21 858673 16zN4n2fFO Unit CTA1_06, Section CTA1_06-4 L6FB19 2 R7C1 2006-04-19 10:34:13.0 2006-04-19 10:34:39.0 2006-04-19 10:34:39.0 2006-04-19 10:34:39.0 26 26 1 0 0 1 Using large numbers~~Find X, positive slope~~Using difficult numbers 18~~29~~53 858925 16zN4n2fFO Unit ES_03, Section ES_03-8 LIT12A 1 m-3+3 = j+3 2006-05-03 10:04:32.0 2006-05-03 10:04:42.0 2006-05-03 10:04:42.0 2006-05-03 10:05:01.0 29 29 1 1 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 14 859182 16zN4n2fFO Unit CTA1_08, Section CTA1_08-3 BH1T07 1 R3C1 2006-05-24 10:06:16.0 2006-05-24 10:06:26.0 2006-05-24 10:06:26.0 2006-05-24 10:06:26.0 10 10 1 0 0 1 Define Variable 49 859242 16zN4n2fFO Unit ES_04, Section ES_04-2 EG40 3 -3Y/-3 = 2/-3 2006-05-24 10:45:45.0 2006-05-24 10:45:50.0 2006-05-24 10:45:50.0 2006-05-24 10:46:38.0 53 53 1 1 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 18 859315 183ppvOXp8 Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 yMax 2006-02-22 10:37:11.0 2006-02-22 10:37:23.0 2006-02-22 10:37:23.0 2006-02-22 10:37:23.0 12 12 1 0 0 1 Changing axis bounds 8 859482 183ppvOXp8 Unit ES_03, Section ES_03-6 EG53 1 -3.7y-8.3+8.3 = -5+8.3 2006-03-01 10:36:11.0 2006-03-01 10:36:23.0 2006-03-01 10:36:23.0 2006-03-01 10:38:15.0 124 124 1 5 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 4 859674 183ppvOXp8 Unit CTA1_08, Section CTA1_08-2 FEB09 1 XUnit 2006-03-08 10:33:44.0 2006-03-08 10:33:52.0 2006-03-08 10:33:52.0 2006-03-08 10:33:52.0 8 8 1 0 0 1 860081 183ppvOXp8 Unit ES_04, Section ES_04-15 LIT60 1 n*b*q = c*w-n*b*u 2006-04-12 10:46:22.0 2006-04-12 10:46:37.0 2006-04-12 10:46:37.0 2006-04-12 10:46:37.0 15 15 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 118 860404 183ppvOXp8 Unit CTA1_10, Section CTA1_10-6 DISTFB10_SP 1 0.8X+5 = 14.6 2006-05-17 10:19:26.0 2006-05-17 10:19:32.0 2006-05-17 10:19:32.0 2006-05-17 10:19:32.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 136 860505 183ppvOXp8 Unit ES_05, Section ES_05-6 EG60 3 -10x/-10 = 15/-10 2006-05-17 10:54:40.0 2006-05-17 10:54:43.0 2006-05-17 10:54:43.0 2006-05-17 10:54:56.0 16 16 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 70 860549 35F52CG565 Unit CTA1_04, Section CTA1_04-4 L5FB04A 2 -33-1.5H = 0 2006-02-22 10:44:27.0 2006-02-22 10:44:37.0 2006-02-22 10:44:37.0 2006-02-22 10:44:37.0 10 10 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 5~~3 860700 35F52CG565 Unit ES_02, Section ES_02-5 EG40 6 -10 = 9y 2006-03-08 10:44:56.0 2006-03-08 10:45:14.0 2006-03-08 10:45:14.0 2006-03-08 10:45:14.0 18 18 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 7~~15 860893 35F52CG565 Unit CTA1_13, Section CTA1_13-1 PROP10 1 R2C1 2006-03-22 10:27:16.0 2006-03-22 10:27:21.0 2006-03-22 10:27:21.0 2006-03-22 10:27:21.0 5 5 1 0 0 1 Identifying units 8 861156 35F52CG565 Unit CTA1_06, Section CTA1_06-3 FEB04 1 R5C2 2006-05-17 10:36:25.0 2006-05-17 10:36:50.0 2006-05-17 10:36:50.0 2006-05-17 10:36:50.0 25 25 1 0 0 1 Entering a given 92 861489 41qrfb88lU Unit ES_04, Section ES_04-12 EG58 9 44/20 = 20X/20 2006-03-29 10:12:46.0 2006-03-29 10:12:50.0 2006-03-29 10:12:50.0 2006-03-29 10:13:02.0 16 16 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 16 861635 41qrfb88lU Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 3025/15 = w 2006-04-12 10:16:59.0 2006-04-12 10:17:07.0 2006-04-12 10:17:30.0 31 31 0 2 0 0 861760 41qrfb88lU Unit ES_07, Section ES_07-3 LIT62 1 b*h+r*t = m*n-v*t 2006-04-19 10:51:34.0 2006-04-19 10:51:46.0 2006-04-19 10:52:30.0 2006-04-19 10:52:30.0 56 56 0 0 5 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 1 861965 41qrfb88lU Unit ES_05, Section ES_05-11 LIT38 1 y-b = m*x 2006-05-08 20:31:12.0 2006-05-08 20:31:38.0 2006-05-08 20:31:38.0 2006-05-08 20:31:38.0 26 26 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 99 862210 41qrfb88lU Unit CTA1_14, Section CTA1_14-4 TPH15 1 R2C1 2006-05-17 10:24:57.0 2006-05-17 10:25:08.0 2006-05-17 10:25:08.0 2006-05-17 10:25:08.0 11 11 1 0 0 1 Identifying units 50 862598 41qrfb88lU Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-2X-2YGE9 1 YIntercept1 2006-05-24 10:55:15.0 2006-05-24 10:55:22.0 2006-05-24 10:55:22.0 2006-05-24 10:55:22.0 7 7 1 0 0 1 Negative Constant, GLF~~Entering y-intercept, GLF 18~~10 862924 5AhC6ORULJ Unit CTA1_06, Section CTA1_06-3 FOR05 1 yScale 2006-03-22 10:04:55.0 2006-03-22 10:04:58.0 2006-03-22 10:04:58.0 2006-03-22 10:04:58.0 3 3 1 0 0 1 Changing axis intervals 28 863420 5AhC6ORULJ Unit ES_03, Section ES_03-8 LIT3A 1 FinalAnswer 2006-05-03 10:05:27.0 2006-05-03 10:05:35.0 2006-05-03 10:05:35.0 2006-05-03 10:05:35.0 8 8 1 0 0 1 combine-like-terms-sp 21 863702 5AhC6ORULJ Unit CTA1_08, Section CTA1_08-3 REAL37 1 XLabel 2006-05-17 09:56:58.0 2006-05-17 09:58:02.0 2006-05-17 09:58:02.0 2006-05-17 09:58:02.0 64 64 1 0 0 1 Labelling the axes 97 863830 5AhC6ORULJ Unit ES_04, Section ES_04-8 EG56 1 -47.58(x+31.66) = 5.95 2006-05-24 09:03:24.0 2006-05-24 09:03:34.0 2006-05-24 09:03:34.0 2006-05-24 09:03:34.0 10 10 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 22 863968 5AhC6ORULJ Unit CTA1_10, Section CTA1_10-2 DIST03_SP 1 R2C2 2006-05-24 10:42:36.0 2006-05-24 10:42:40.0 2006-05-24 10:42:40.0 2006-05-24 10:42:40.0 4 4 1 0 0 1 Identifying units 77 864040 5SXHhHKGxC Unit CTA1_10, Section CTA1_10-6 DISTFB13_SP 1 R4C1 2006-02-22 10:19:07.0 2006-02-22 10:19:26.0 2006-02-22 10:19:26.0 2006-02-22 10:19:26.0 19 19 1 0 0 1 Entering a given 9 864242 5SXHhHKGxC Unit CTA1_12, Section CTA1_12-3 SYSFB02 1 R2C3 2006-03-08 10:01:33.0 2006-03-08 10:01:35.0 2006-03-08 10:01:35.0 2006-03-08 10:01:35.0 2 2 1 0 0 1 Identifying units 23 864556 5SXHhHKGxC Unit ES_05, Section ES_05-12 LIT84 1 2x+7y-2x = 5-2x 2006-03-22 10:13:30.0 2006-03-22 10:13:34.0 2006-03-22 10:13:34.0 2006-03-22 10:13:40.0 10 10 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 28 864849 5SXHhHKGxC Unit CTA1_14, Section CTA1_14-4 LDEMO_PTPT 1 14+2D = 50 2006-04-12 10:48:56.0 2006-04-12 10:49:38.0 2006-04-12 10:49:38.0 2006-04-12 10:49:38.0 42 42 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 104 865157 5SXHhHKGxC Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLT250 2 yMax 2006-05-03 09:47:49.0 2006-05-03 09:47:53.0 2006-05-03 09:47:53.0 2006-05-03 09:47:53.0 4 4 1 0 0 1 865511 5SXHhHKGxC Unit CTA1_15, Section CTA1_15-3 SYS06 2 Intersection 1 Y 2006-05-17 09:49:48.0 2006-05-17 09:50:02.0 2006-05-17 09:50:02.0 2006-05-17 09:50:02.0 14 14 1 0 0 1 Labelling point of intersection 40 865665 5SXHhHKGxC Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE7TRE 2 R7C1 2006-05-24 09:48:13.0 2006-05-24 09:49:30.0 2006-05-24 09:57:55.0 2006-05-24 09:57:55.0 349 349 0 3 2 1 Entering a computed linear value 26 865808 5SXHhHKGxC Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR09 1 a-factor-1 2006-05-24 10:46:04.0 2006-05-24 10:46:06.0 2006-05-24 10:46:06.0 2006-05-24 10:46:38.0 7 7 1 0 0 2 865860 5yM8I4Uut9 Unit ES_03, Section ES_03-8 LIT10A 1 b-g = 0 2006-02-22 09:58:47.0 2006-02-22 09:59:03.0 2006-02-22 09:59:03.0 2006-02-22 09:59:03.0 16 16 1 0 0 1 866016 5yM8I4Uut9 Unit CTA1_08, Section CTA1_08-2 REAL31 1 Formula 1 Coeff 0 2006-02-23 18:53:58.0 2006-02-23 18:54:09.0 2006-02-23 18:54:09.0 2006-02-23 18:54:09.0 11 11 1 0 0 1 Setting the y-intercept 11 866277 5yM8I4Uut9 Unit ES_04, Section ES_04-9 EG57A 2 -5y = 844 2006-03-08 10:14:03.0 2006-03-08 10:14:14.0 2006-03-08 10:14:14.0 2006-03-08 10:14:14.0 11 11 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 22~~6 866719 5yM8I4Uut9 Unit CTA1_10, Section CTA1_10-6 DISTFB12_SP 1 R1C1 2006-04-12 10:01:42.0 2006-04-12 10:02:05.0 2006-04-12 10:02:05.0 2006-04-12 10:02:05.0 23 23 1 0 0 1 866841 5yM8I4Uut9 Unit ES_05, Section ES_05-8 EG61 2 -2.16x-3.56+3.56 = -9.11+3.56 2006-04-26 09:50:18.0 2006-04-26 09:50:32.0 2006-04-26 09:50:32.0 2006-04-26 09:51:18.0 60 60 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 36 867098 5yM8I4Uut9 Unit CTA1_14, Section CTA1_14-2 1PTFB13 1 R5C1 2006-05-17 10:31:40.0 2006-05-17 10:31:45.0 2006-05-17 10:31:45.0 2006-05-17 10:31:45.0 5 5 1 0 0 1 Using simple numbers~~Using small numbers~~Find X, Simple 63~~70~~1 867453 a0Q6RZpO47 Unit CTA1_06, Section CTA1_06-4 L6FB19 2 R7C2 2006-05-24 12:11:05.0 2006-05-24 12:11:23.0 2006-05-24 12:11:44.0 2006-05-24 12:11:44.0 39 39 0 1 0 1 Entering a given 34 867640 a0Q6RZpO47 Unit ES_03, Section ES_03-1 EG46 1 x = -11/-6 2006-05-24 14:07:47.0 2006-05-24 14:08:13.0 2006-05-24 14:08:13.0 2006-05-24 14:08:13.0 26 26 1 0 0 1 867764 a47O44klh3 Unit ES_02, Section ES_02-8 EG41 12 9x/-3 = -81 2006-04-26 10:03:53.0 2006-04-26 10:03:58.0 2006-04-26 10:04:24.0 2006-04-26 10:04:24.0 31 31 0 3 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 1~~22 867900 a47O44klh3 Unit CTA1_13, Section CTA1_13-1 PROP10 1 R3C1 2006-04-26 21:14:46.0 2006-04-26 21:14:51.0 2006-04-26 21:14:51.0 2006-04-26 21:14:51.0 5 5 1 0 0 1 Define Variable 11 868038 a47O44klh3 Unit CTA1_06, Section CTA1_06-2 L6FB08 1 R3C1 2006-05-24 10:22:08.0 2006-05-24 10:22:14.0 2006-05-24 10:22:14.0 2006-05-24 10:22:14.0 6 6 1 0 0 1 Define Variable 19 868186 b4NIYojEYn Unit ES_04, Section ES_04-10 EG57A 1 -35x+32 = -306 2006-02-22 10:30:11.0 2006-02-22 10:30:23.0 2006-02-22 10:30:23.0 2006-02-22 10:30:23.0 12 12 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 27 868374 b4NIYojEYn Unit CTA1_10, Section CTA1_10-3 DISTFB01_SP 1 R1C1 2006-03-01 10:54:38.0 2006-03-01 10:55:29.0 2006-03-01 10:55:29.0 2006-03-01 10:55:29.0 51 51 1 0 0 1 868512 b4NIYojEYn Unit ES_07, Section ES_07-1 LIT47 1 a*y+b*y = n-m 2006-03-08 10:53:57.0 2006-03-08 10:54:14.0 2006-03-08 10:54:45.0 2006-03-08 10:54:45.0 48 48 0 0 3 1 [SkillRule: Extract to consolidate vars; {factor; factorb; factorc; factord}] 1 868623 b4NIYojEYn Unit ES_05, Section ES_05-7 EG61 8 -4.8y+8.12 = -1.42y-1.91 2006-03-22 09:49:03.0 2006-03-22 09:49:14.0 2006-03-22 09:49:14.0 2006-03-22 09:49:14.0 11 11 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 16 869122 b4NIYojEYn Unit CTA1_14, Section CTA1_14-4 2PTFB13 1 R2C1 2006-05-03 10:37:15.0 2006-05-03 10:37:18.0 2006-05-03 10:37:18.0 2006-05-03 10:37:18.0 3 3 1 0 0 1 Identifying units 61 869387 b4NIYojEYn Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT-2X 1 XCoordinate1_1 2006-05-17 09:45:59.0 2006-05-17 09:46:04.0 2006-05-17 09:46:04.0 2006-05-17 09:46:04.0 5 5 1 0 0 1 Negative Constant, SIF 17 869579 b4NIYojEYn Unit CTA1_15, Section CTA1_15-2 SYSFB09 1 YLabel 2006-05-24 10:18:01.0 2006-05-24 10:18:08.0 2006-05-24 10:18:08.0 2006-05-24 10:18:08.0 7 7 1 0 0 1 Labelling the axes 6 869857 ck0GIf31rJ Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 R5C1 2006-03-22 10:33:28.0 2006-03-22 10:33:38.0 2006-03-22 10:37:41.0 2006-03-22 10:37:41.0 232 232 0 2 0 1 Using simple numbers~~Using small numbers~~Find X, Simple 26~~19~~1 870274 ck0GIf31rJ Unit ES_03, Section ES_03-4 EG49 1 FinalAnswer 2006-05-10 10:17:49.0 2006-05-10 10:18:08.0 2006-05-10 10:18:08.0 2006-05-10 10:18:50.0 29 29 1 0 0 3 simplify-fractions-sp~~combine-like-terms-sp 22~~23 870710 ck0GIf31rJ Unit CTA1_08, Section CTA1_08-2 L3_DEMO 1 Formula 1 Coeff 0 2006-05-24 10:55:01.0 2006-05-24 10:55:07.0 2006-05-24 10:55:07.0 2006-05-24 10:55:07.0 6 6 1 0 0 1 Setting the y-intercept 9 870740 d6MRvZi66J Unit CTA1_10, Section CTA1_10-6 DISTFB12_SP 1 R1C2 2006-02-22 10:40:20.0 2006-02-22 10:40:43.0 2006-02-22 10:40:43.0 2006-02-22 10:40:43.0 23 23 1 0 0 1 870786 d6MRvZi66J Unit CTA1_12, Section CTA1_12-2 SYS03 1 R7C1 2006-03-01 10:13:11.0 2006-03-01 10:14:38.0 2006-03-01 10:18:59.0 348 348 0 6 2 0 871052 d6MRvZi66J Unit ES_05, Section ES_05-12 LIT40 1 y-m*x = m*x+b-m*x 2006-05-03 10:36:26.0 2006-05-03 10:36:35.0 2006-05-03 10:36:59.0 2006-05-03 10:37:04.0 38 38 0 1 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 56 871131 d6MRvZi66J Unit CTA1_14, Section CTA1_14-2 1PTFB14 1 R1C1 2006-05-24 09:53:41.0 2006-05-24 09:53:50.0 2006-05-24 09:54:06.0 2006-05-24 09:54:06.0 25 25 0 1 0 1 871406 Gg6mCdOk6I Unit CTA1_06, Section CTA1_06-4 JAN09 2 xScale 2006-04-26 09:53:07.0 2006-04-26 09:53:12.0 2006-04-26 09:53:12.0 2006-04-26 09:53:58.0 40 40 1 0 0 4 Changing axis intervals 21 871671 Gg6mCdOk6I Unit ES_03, Section ES_03-6 EG51A 2 -3.5 = 27.4y+47.2 2006-05-24 10:52:05.0 2006-05-24 10:52:18.0 2006-05-24 10:52:18.0 2006-05-24 10:52:18.0 13 13 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 41 872171 H5p2L3L4hU Unit CTA1_06, Section CTA1_06-4 BH1T52 1 xMax 2006-05-03 10:17:27.0 2006-05-03 10:17:43.0 2006-05-03 10:17:43.0 2006-05-03 10:17:43.0 16 16 1 0 0 1 Changing axis bounds 64 872514 H5p2L3L4hU Unit ES_03, Section ES_03-7 LIT1 1 s+r-r = t-r 2006-05-17 10:42:36.0 2006-05-17 10:42:41.0 2006-05-17 10:42:41.0 2006-05-17 10:42:41.0 5 5 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 37 872646 H5p2L3L4hU Unit CTA1_08, Section CTA1_08-2 DEMO_8 1 R2C2 2006-05-24 10:31:26.0 2006-05-24 10:31:29.0 2006-05-24 10:31:29.0 2006-05-24 10:31:29.0 3 3 1 0 0 1 Identifying units 47 872834 jx1ndu85oq Unit ES_04, Section ES_04-10 EG57 3 -1Y+3-3 = 50-3 2006-03-01 10:30:06.0 2006-03-01 10:30:13.0 2006-03-01 10:30:13.0 2006-03-01 10:30:19.0 13 13 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 18 873240 jx1ndu85oq Unit CTA1_10, Section CTA1_10-6 DISTFB10_SP 1 R2C2 2006-03-29 10:24:15.0 2006-03-29 10:24:37.0 2006-03-29 10:24:37.0 2006-03-29 10:24:37.0 22 22 1 0 0 1 Identifying units 24 873452 jx1ndu85oq Unit ES_05, Section ES_05-10 EG62A 2 54.54x+(-7581.46) = 2870.46 2006-04-26 09:56:19.0 2006-04-26 09:56:52.0 2006-04-26 09:57:22.0 2006-04-26 09:57:22.0 63 63 0 2 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 116 873724 jx1ndu85oq Unit CTA1_14, Section CTA1_14-3 2PTFB15 1 -60X = -447 2006-05-10 10:41:07.0 2006-05-10 10:41:17.0 2006-05-10 10:41:17.0 2006-05-10 10:41:17.0 10 10 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 149~~40 873952 jx1ndu85oq Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-3X-7YLE14 1 YCoordinate1_2 2006-05-24 10:48:01.0 2006-05-24 10:48:10.0 2006-05-24 10:48:10.0 2006-05-24 10:48:10.0 9 9 1 0 0 1 Entering a point~~Negative Constant, GLF 2~~3 874226 m9a501e1MM Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 R7C3 2006-03-01 10:10:09.0 2006-03-01 10:10:15.0 2006-03-01 10:10:15.0 2006-03-01 10:10:15.0 6 6 1 0 0 1 Entering a given 29 874448 m9a501e1MM Unit ES_05, Section ES_05-12 LIT85 1 Y = -17/6+4X/6 2006-03-08 10:27:25.0 2006-03-08 10:27:32.0 2006-03-08 10:27:32.0 2006-03-08 10:27:32.0 7 7 1 0 0 1 874909 m9a501e1MM Unit CTA1_14, Section CTA1_14-4 LDEMO_PTPT 1 R5C1 2006-04-12 10:10:42.0 2006-04-12 10:10:47.0 2006-04-12 10:10:47.0 2006-04-12 10:10:47.0 5 5 1 0 0 1 Using simple numbers~~Using small numbers~~Find X, positive slope 91~~70~~27 875182 m9a501e1MM Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGE4X-11 1 GraphChoice1 2006-05-03 10:33:26.0 2006-05-03 10:33:31.0 2006-05-03 10:33:31.0 2006-05-03 10:33:31.0 5 5 1 0 0 1 875313 m9a501e1MM Unit CTA1_15, Section CTA1_15-2 SYSFB09 1 14.95+0.13X = 50 2006-05-10 10:35:48.0 2006-05-10 10:35:55.0 2006-05-10 10:35:55.0 2006-05-10 10:35:55.0 7 7 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 111 875537 OW11c44gy1 Unit ES_02, Section ES_02-10 EG44 10 2/y*y = -8y 2006-03-29 10:34:12.0 2006-03-29 10:34:37.0 2006-03-29 10:39:26.0 2006-03-29 10:40:10.0 358 358 0 1 3 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 28 875671 OW11c44gy1 Unit CTA1_13, Section CTA1_13-1 PROP06 1 R2C2 2006-04-25 10:48:51.0 2006-04-25 10:48:57.0 2006-04-25 10:49:08.0 2006-04-25 10:49:08.0 9 9 0 1 0 1 Identifying units 3 876036 OW11c44gy1 Unit CTA1_06, Section CTA1_06-3 JAN05 1 R3C1 2006-05-17 10:50:14.0 2006-05-17 10:50:16.0 2006-05-17 10:50:16.0 2006-05-17 10:50:16.0 2 2 1 0 0 1 Define Variable 27 876613 oXgtQylYoP Unit CTA1_06, Section CTA1_06-5 FBSMR3 2 XLabel 2006-03-22 09:54:13.0 2006-03-22 09:54:33.0 2006-03-22 09:54:33.0 2006-03-22 09:54:33.0 20 20 1 0 0 1 Labelling the axes 37 876704 oXgtQylYoP Unit ES_03, Section ES_03-2 EG46 1 FinalAnswer 2006-03-29 10:03:34.0 2006-03-29 10:03:41.0 2006-03-29 10:06:10.0 2006-03-29 10:06:10.0 156 156 0 1 1 1 combine-like-terms-sp 4 876866 R62GeR4qce Unit CTA1_06, Section CTA1_06-4 L6FB19 1 yMin 2006-02-22 10:47:43.0 2006-02-22 10:47:58.0 2006-02-22 10:47:58.0 2006-02-22 10:47:58.0 15 15 1 0 0 2 Changing axis bounds 21 877105 R62GeR4qce Unit ES_03, Section ES_03-7 LIT2 1 y-x = x+b-x 2006-03-08 10:54:40.0 2006-03-08 10:54:44.0 2006-03-08 10:54:44.0 2006-03-08 10:54:44.0 4 4 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 20 877388 R62GeR4qce Unit CTA1_08, Section CTA1_08-3 L5FB02 1 R3C2 2006-03-29 10:36:16.0 2006-03-29 10:36:55.0 2006-03-29 10:37:43.0 2006-03-29 10:37:43.0 86.999 86.999 0 3 6 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 23~~33~~16 877545 R62GeR4qce Unit ES_04, Section ES_04-10 EG57 1 7y+3 = 9 2006-04-26 10:19:33.0 2006-04-26 10:19:40.0 2006-04-26 10:19:40.0 2006-04-26 10:19:40.0 7 7 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 63 877765 R62GeR4qce Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 R3C1 2006-05-24 10:16:20.0 2006-05-24 10:16:27.0 2006-05-24 10:16:27.0 2006-05-24 10:16:27.0 7 7 1 0 0 1 Define Variable 41 878004 vzYx9SZ29x Unit CTA1_04, Section CTA1_04-4 L5FB04 1 R7C2 2006-03-01 10:35:05.0 2006-03-01 10:35:25.0 2006-03-01 10:36:24.0 2006-03-01 10:36:24.0 79 79 0 1 2 1 Entering a given 52 878641 vzYx9SZ29x Unit ES_02, Section ES_02-7 EG41 15 12 = y/3 2006-04-25 11:08:30.0 2006-04-25 11:08:32.0 2006-04-25 11:08:43.0 2006-04-25 11:08:43.0 13 13 0 0 3 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 52~~79 878864 vzYx9SZ29x Unit CTA1_13, Section CTA1_13-1 PROP09 1 (1/6)*V = 700 2006-05-03 10:02:18.0 2006-05-03 10:02:23.0 2006-05-03 10:02:33.0 2006-05-03 10:02:33.0 15 15 0 0 2 1 879196 vzYx9SZ29x Unit CTA1_06, Section CTA1_06-2 L6FB08 1 R5C1 2006-05-24 10:08:02.0 2006-05-24 10:08:07.0 2006-05-24 10:08:07.0 2006-05-24 10:08:07.0 5 5 1 0 0 1 Entering a given 142 879310 6pfp3D515O Unit ES_02, Section ES_02-8 EG41 6 constant terms1R1 2006-03-07 10:41:48.0 2006-03-07 10:41:53.0 2006-03-07 10:41:53.0 2006-03-07 10:41:53.0 5 5 1 0 0 1 879365 fTCaypQv7J Unit ES_01, Section ES_01-10 EG27 1 1 = -x 2006-03-07 09:33:42.0 2006-03-07 09:33:59.0 2006-03-07 09:34:11.0 2006-03-07 09:34:11.0 29 29 0 0 3 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 18~~12~~2 879389 fTCaypQv7J Unit CTA1_04, Section CTA1_04-1 LDEMO_WSLVR 1 V*e*r*s*i*o*n 2006-03-07 09:49:12.0 2006-03-07 09:49:18.0 2006-03-07 09:49:19.0 7 7 0 0 2 0 879577 fTCaypQv7J Unit ES_02, Section ES_02-5 EG40 12 -6-(-1) = -1x 2006-03-07 10:31:18.0 2006-03-07 10:31:21.0 2006-03-07 10:31:21.0 2006-03-07 10:31:21.0 3 3 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 8 879708 h4N48ldyLn Unit ES_02, Section ES_02-5 EG40 8 2+2y-2 = -2-2 2006-03-07 09:55:58.0 2006-03-07 09:56:02.0 2006-03-07 09:56:02.0 2006-03-07 09:56:02.0 4 4 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 15 879864 k37lfl6ENf Unit ES_02, Section ES_02-10 EG44 3 -9/x = -2 2006-03-07 10:23:51.0 2006-03-07 10:23:57.0 2006-03-07 10:23:57.0 2006-03-07 10:23:57.0 6 6 1 0 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 7 880254 0u17bw7v7w Unit CTA1_12, Section CTA1_12-5 SYSFB25 1 yMax 2006-03-07 09:19:15.0 2006-03-07 09:19:35.0 2006-03-07 09:19:48.0 2006-03-07 09:19:48.0 28 28 0 1 0 1 Changing axis bounds 31 880473 0u17bw7v7w Unit ES_05, Section ES_05-9 EG62A 2 17948.21 = -896.61x 2006-03-14 09:29:31.0 2006-03-14 09:29:59.0 2006-03-14 09:29:59.0 2006-03-14 09:29:59.0 28 28 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 71~~23 880783 0u17bw7v7w Unit CTA1_14, Section CTA1_14-3 2PTS08 1 R7C1 2006-03-28 09:02:54.0 2006-03-28 09:03:00.0 2006-03-28 09:03:00.0 2006-03-28 09:03:00.0 6 6 1 0 0 1 Entering a given 104 881151 0u17bw7v7w Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLT250 1 YCoordinate1_2 2006-05-01 09:47:52.0 2006-05-01 09:47:54.0 2006-05-01 09:47:54.0 2006-05-01 09:47:54.0 2 2 1 0 0 1 Entering a point~~Positive Constants, GLF 10~~22 881485 0u17bw7v7w Unit CTA1_15, Section CTA1_15-3 SYSFB10 1 R4C1 2006-05-05 10:30:53.0 2006-05-05 10:31:52.0 2006-05-05 10:31:52.0 2006-05-05 10:31:52.0 59 59 1 0 0 1 Entering a given~~Convert unit, standard 173~~13 881791 0u17bw7v7w Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE5TRE 2 R5C2 2006-05-16 09:57:56.0 2006-05-16 09:58:12.0 2006-05-16 09:58:12.0 2006-05-16 09:58:12.0 16 16 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope~~Entering a computed linear value 173~~127~~17~~35 881932 0u17bw7v7w Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR43 1 c-factor-1 2006-05-16 10:53:17.0 2006-05-16 10:53:38.0 2006-05-16 10:54:15.0 2006-05-16 10:55:32.0 64 64 0 0 1 3 882259 0u17bw7v7w Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR14 1 (1-sqrt(49))/4 = x 2006-05-18 09:19:11.0 2006-05-18 09:19:23.0 2006-05-18 09:19:23.0 2006-05-18 09:19:23.0 12 12 1 0 0 1 [SkillRule: Apply Exponent; {Expand Exponents; eval radical; Expand Exponents, radical}] 36 882332 0u17bw7v7w Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD2TRE 2 R2C2 2006-05-25 09:22:44.0 2006-05-25 09:22:49.0 2006-05-25 09:22:49.0 2006-05-25 09:22:49.0 5 5 1 0 0 1 Identifying units 142 882464 3008m5T78s Unit ES_04, Section ES_04-14 LIT29A 1 2 = (z-v)*t 2006-03-07 08:43:57.0 2006-03-07 08:44:02.0 2006-03-07 08:44:09.0 2006-03-07 08:45:27.0 42 42 0 1 3 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 7~~16 882831 3008m5T78s Unit CTA1_10, Section CTA1_10-4 FOR08_SP 1 R2C2 2006-03-17 09:21:22.0 2006-03-17 09:21:28.0 2006-03-17 09:21:28.0 2006-03-17 09:21:28.0 6 6 1 0 0 1 Identifying units 18 883379 3008m5T78s Unit ES_07, Section ES_07-5 LIT78 2 h*(j*m-k) = q*r 2006-04-25 09:14:43.0 2006-04-25 09:14:51.0 2006-04-25 09:14:51.0 2006-04-25 09:14:51.0 8 8 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 152 883706 3008m5T78s Unit CTA1_12, Section CTA1_12-3 SYSFB21 1 0.5A = 35 2006-05-16 09:26:12.0 2006-05-16 09:26:18.0 2006-05-16 09:26:18.0 2006-05-16 09:26:18.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 58~~190 884119 3k85qY4Y2B Unit ES_07, Section ES_07-6 LIT78A 3 k*j = (r*s+m*j)/n 2006-03-21 08:53:41.0 2006-03-21 08:53:47.0 2006-03-21 08:53:47.0 2006-03-21 08:58:55.0 101 101 1 5 2 6 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 11 884543 3k85qY4Y2B Unit CTA1_12, Section CTA1_12-5 SYSFB24 1 13200 = 700M 2006-05-09 09:13:17.0 2006-05-09 09:13:22.0 2006-05-09 09:13:22.0 2006-05-09 09:13:22.0 5 5 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 19~~78 884720 3k85qY4Y2B Unit ES_05, Section ES_05-5 EG60 4 -16x = 9 2006-05-18 09:28:16.0 2006-05-18 09:28:21.0 2006-05-18 09:28:21.0 2006-05-18 09:28:21.0 5 5 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 110~~23 884921 448d2Kv3hw Unit CTA1_08, Section CTA1_08-3 FEB08 2 yMax 2006-03-07 08:36:55.0 2006-03-07 08:37:08.0 2006-03-07 08:37:30.0 2006-03-07 08:37:30.0 35 35 0 2 2 1 Changing axis bounds 16 885264 448d2Kv3hw Unit ES_04, Section ES_04-14 LIT22A 1 7s+z = c 2006-03-21 08:56:18.0 2006-03-21 08:57:05.0 2006-03-21 08:57:05.0 2006-03-21 08:57:05.0 47 47 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 50 885555 448d2Kv3hw Unit CTA1_10, Section CTA1_10-3 DISTFB06_SP 1 R3C1 2006-04-04 08:43:57.0 2006-04-04 08:44:00.0 2006-04-04 08:44:00.0 2006-04-04 08:44:00.0 3 3 1 0 0 1 Define Variable 24 885876 448d2Kv3hw Unit ES_07, Section ES_07-4 LIT70A 1 r*(-u-w) = x*s-6u 2006-05-16 08:42:27.0 2006-05-16 08:42:43.0 2006-05-16 08:42:43.0 2006-05-16 08:42:43.0 16 16 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 113 886006 448d2Kv3hw Unit CTA1_12, Section CTA1_12-2 SYS03 2 -8M-10 = -58 2006-05-22 08:47:18.0 2006-05-22 08:47:25.0 2006-05-22 08:47:25.0 2006-05-22 08:47:25.0 7 7 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 135~~23 886235 8FcKH1d6A2 Unit ES_02, Section ES_02-10 EG44 3 2 = -5/y 2006-03-21 09:14:48.0 2006-03-21 09:15:09.0 2006-03-21 09:15:09.0 2006-03-21 09:15:09.0 21 21 1 0 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 7 886352 8FcKH1d6A2 Unit CTA1_13, Section CTA1_13-1 PROP06 1 R7C1 2006-03-28 09:02:40.0 2006-03-28 09:02:53.0 2006-03-28 09:02:53.0 2006-03-28 09:02:53.0 13 13 1 0 0 1 Entering a given 39 886745 8FcKH1d6A2 Unit CTA1_06, Section CTA1_06-3 JAN06 1 R4C1 2006-05-16 08:38:32.0 2006-05-16 08:39:05.0 2006-05-16 08:49:18.0 2006-05-16 08:49:18.0 209 209 0 7 6 1 Entering a given 107 887012 c7A4cZK28M Unit CTA1_08, Section CTA1_08-3 BH1T07 1 R1C1 2006-03-07 08:36:57.0 2006-03-07 08:37:15.0 2006-03-07 08:37:15.0 2006-03-07 08:37:15.0 18 18 1 0 0 1 887351 c7A4cZK28M Unit ES_04, Section ES_04-13 LIT29 1 2/s+u-u = y-u 2006-03-28 08:34:12.0 2006-03-28 08:34:16.0 2006-03-28 08:34:16.0 2006-03-28 08:34:16.0 4 4 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 17 887794 c7A4cZK28M Unit CTA1_10, Section CTA1_10-6 DISTFB10_SP 1 R1C2 2006-05-02 09:30:48.0 2006-05-02 09:30:57.0 2006-05-02 09:30:57.0 2006-05-02 09:30:57.0 9 9 1 0 0 1 888021 c7A4cZK28M Unit ES_07, Section ES_07-4 LIT70A 1 (6u-x*s)/(w+u) = r*(w+u)/(w+u) 2006-05-16 08:36:21.0 2006-05-16 08:36:25.0 2006-05-16 08:36:25.0 2006-05-16 08:36:43.0 22 22 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 61 888131 c7A4cZK28M Unit CTA1_12, Section CTA1_12-2 SYSFB17 1 R2C2 2006-05-16 09:27:18.0 2006-05-16 09:28:23.0 2006-05-16 09:29:31.0 2006-05-16 09:29:31.0 126 126 0 3 0 1 Identifying units 56 888476 dVqVsN8nD8 Unit CTA1_06, Section CTA1_06-4 JAN09 1 xMin 2006-04-04 09:10:38.0 2006-04-04 09:10:48.0 2006-04-04 09:11:47.0 2006-04-04 09:11:47.0 23 23 0 1 0 1 Changing axis bounds 57 888851 dVqVsN8nD8 Unit ES_03, Section ES_03-6 EG51 1 x2R1 2006-05-09 09:05:06.0 2006-05-09 09:05:15.0 2006-05-09 09:05:15.0 2006-05-09 09:05:15.0 9 9 1 0 0 1 889236 dVqVsN8nD8 Unit CTA1_08, Section CTA1_08-3 REAL10 1 R3C2 2006-05-22 09:03:59.0 2006-05-22 09:04:21.0 2006-05-22 09:04:21.0 2006-05-22 09:04:21.0 22 22 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 46~~53~~26 889561 E5GMl7289p Unit CTA1_06, Section CTA1_06-3 BH1T42 2 yMax 2006-04-04 09:30:30.0 2006-04-04 09:30:33.0 2006-04-04 09:30:33.0 2006-04-04 09:30:33.0 3 3 1 0 0 1 Changing axis bounds 48 889777 EaUoBdvBdC Unit ES_05, Section ES_05-12 LIT88 1 constant termsR2 2006-02-21 09:07:02.0 2006-02-21 09:07:04.0 2006-02-21 09:07:04.0 2006-02-21 09:09:52.0 10 10 1 0 0 4 890148 EaUoBdvBdC Unit CTA1_14, Section CTA1_14-4 2PTFB16 1 R3C1 2006-03-21 09:03:31.0 2006-03-21 09:03:33.0 2006-03-21 09:03:33.0 2006-03-21 09:03:33.0 2 2 1 0 0 1 Define Variable 24 890477 EaUoBdvBdC Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 2X+3YGT9 1 GraphChoice1 2006-03-28 08:53:59.0 2006-03-28 08:54:02.0 2006-03-28 08:54:02.0 2006-03-28 08:54:02.0 3 3 1 0 0 1 890739 EaUoBdvBdC Unit CTA1_15, Section CTA1_15-3 SYSFB10 1 YLabel 2006-04-04 09:02:58.0 2006-04-04 09:03:06.0 2006-04-04 09:03:06.0 2006-04-04 09:03:06.0 8 8 1 0 0 1 Labelling the axes 14 890978 EaUoBdvBdC Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE8TRE 1 R3C3 2006-04-25 09:08:16.0 2006-04-25 09:08:19.0 2006-04-25 09:08:19.0 2006-04-25 09:08:19.0 3 3 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, quadratic 119~~84~~4 891109 EaUoBdvBdC Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR41 1 FQCheckButton 2006-05-15 08:56:20.0 2006-05-15 08:56:22.0 2006-05-15 08:56:22.0 2006-05-15 08:59:18.0 10 10 1 0 0 8 891345 EaUoBdvBdC Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR29 1 den1-factor-node 2006-05-16 09:27:05.0 2006-05-16 09:27:10.0 2006-05-16 09:27:10.0 2006-05-16 09:27:10.0 5 5 1 0 0 1 qft-den-sp 10 891811 EE579r50K3 Unit ES_03, Section ES_03-8 LIT18A 1 FinalAnswer 2006-03-14 08:52:10.0 2006-03-14 08:52:14.0 2006-03-14 08:52:20.0 2006-03-14 08:54:30.0 19 19 0 3 0 3 simplify-fractions-sp 19 891983 EE579r50K3 Unit CTA1_08, Section CTA1_08-2 FEB09 1 yMax 2006-03-23 09:33:53.0 2006-03-23 09:34:09.0 2006-03-23 09:34:09.0 2006-03-23 09:34:15.0 22 22 1 0 0 3 Changing axis bounds 19 892750 EE579r50K3 Unit ES_04, Section ES_04-16 LIT60A 1 c*r = (d*x-q*c*v)/q 2006-05-16 09:39:24.0 2006-05-16 09:39:30.0 2006-05-16 09:39:30.0 2006-05-16 09:39:30.0 6 6 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 133 892845 JrJt3mY6Ls Unit ES_02, Section ES_02-10 EG44 4 pm-r-den-node 2006-03-07 08:35:43.0 2006-03-07 08:35:48.0 2006-03-07 08:35:48.0 2006-03-07 08:35:48.0 5 5 1 0 0 1 892992 JrJt3mY6Ls Unit CTA1_13, Section CTA1_13-1 PROP13 1 R1C2 2006-05-09 09:10:53.0 2006-05-09 09:11:35.0 2006-05-09 09:11:35.0 2006-05-09 09:11:35.0 42 42 1 0 0 1 893127 jw3jOU9C8I Unit CTA1_08, Section CTA1_08-3 L5FB02 1 Formula 1 Coeff 1 2006-03-07 09:06:15.0 2006-03-07 09:06:23.0 2006-03-07 09:06:23.0 2006-03-07 09:06:23.0 8 8 1 0 0 1 Setting the slope 9 893379 jw3jOU9C8I Unit ES_04, Section ES_04-14 LIT19A 1 s*v+r = y 2006-03-23 09:37:15.0 2006-03-23 09:37:30.0 2006-03-23 09:37:30.0 2006-03-23 09:37:30.0 15 15 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 45 893579 jw3jOU9C8I Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 R6C1 2006-05-09 09:02:57.0 2006-05-09 09:03:00.0 2006-05-09 09:03:00.0 2006-05-09 09:03:00.0 3 3 1 0 0 1 Entering a given 47 893755 jw3jOU9C8I Unit ES_07, Section ES_07-4 LIT66A 1 -x*z-c*h = -x*s+t*n 2006-05-18 09:19:01.0 2006-05-18 09:19:18.0 2006-05-18 09:19:18.0 2006-05-18 09:19:18.0 17 17 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 10 893804 jw3jOU9C8I Unit CTA1_12, Section CTA1_12-1 LDEMO_SYS 1 R7C2 2006-05-18 09:36:44.0 2006-05-18 09:36:50.0 2006-05-18 09:36:53.0 9 9 0 0 2 0 894138 lY4W105RGi Unit CTA1_06, Section CTA1_06-3 JAN06 1 R3C1 2006-05-16 08:52:11.0 2006-05-16 08:52:14.0 2006-05-16 08:52:14.0 2006-05-16 08:52:14.0 3 3 1 0 0 1 Define Variable 13 894423 WmIXxzmmD3 Unit CTA1_08, Section CTA1_08-3 NOV13 1 R3C2 2006-03-07 09:04:44.0 2006-03-07 09:07:51.0 2006-03-07 09:08:14.0 2006-03-07 09:08:14.0 210 210 0 0 4 1 Using simple numbers~~Using small numbers~~Write expression, negative slope 7~~12~~4 894940 WmIXxzmmD3 Unit ES_04, Section ES_04-16 LIT60A 1 q*c*v+q*c*r = d*x 2006-04-04 09:21:04.0 2006-04-04 09:21:20.0 2006-04-04 09:21:20.0 2006-04-04 09:21:20.0 16 16 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 71 895132 WmIXxzmmD3 Unit CTA1_10, Section CTA1_10-4 DIST02_SP 1 R7C1 2006-04-25 09:25:52.0 2006-04-25 09:25:55.0 2006-04-25 09:25:55.0 2006-04-25 09:25:55.0 3 3 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 29~~18~~19 895440 WmIXxzmmD3 Unit ES_07, Section ES_07-6 LIT79A 1 4y+5r+9s = 2v 2006-05-11 09:38:35.0 2006-05-11 09:38:40.0 2006-05-11 09:38:40.0 2006-05-11 09:38:40.0 5 5 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 150 895624 WmIXxzmmD3 Unit CTA1_12, Section CTA1_12-3 SYSFB02 1 R6C1 2006-05-22 08:56:43.0 2006-05-22 08:56:49.0 2006-05-22 08:56:49.0 2006-05-22 08:56:49.0 6 6 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 65~~39~~42 895739 XUwJ9E07Zd Unit CTA1_12, Section CTA1_12-6 SYSFB03 1 XLabel 2006-02-21 09:20:11.0 2006-02-21 09:20:47.0 2006-02-21 09:20:47.0 2006-02-21 09:20:47.0 36 36 1 0 0 1 Labelling the axes 1 895843 XUwJ9E07Zd Unit ES_05, Section ES_05-8 EG61 2 8.63-0.95y = -7.49-4.77y 2006-02-21 09:39:32.0 2006-02-21 09:39:46.0 2006-02-21 09:39:46.0 2006-02-21 09:39:46.0 14 14 1 0 0 1 896299 XUwJ9E07Zd Unit CTA1_14, Section CTA1_14-4 IPCEVEREST 1 R5C1 2006-03-14 08:54:57.0 2006-03-14 08:55:01.0 2006-03-14 08:55:07.0 2006-03-14 08:55:07.0 10 10 0 1 0 1 Entering a given 93 896552 XUwJ9E07Zd Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-2X-2YGE9 2 GraphButton1 2006-04-25 08:55:27.0 2006-04-25 08:55:33.0 2006-04-25 08:55:33.0 2006-04-25 08:55:33.0 6 6 1 0 0 1 896888 XUwJ9E07Zd Unit CTA1_15, Section CTA1_15-3 SYS09 1 R7C1 2006-05-16 08:46:07.0 2006-05-16 08:46:21.0 2006-05-16 08:46:21.0 2006-05-16 08:46:21.0 14 14 1 0 0 1 Entering a given~~Convert unit, standard 141~~14 897130 XUwJ9E07Zd Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE5TRE 1 yMax 2006-05-22 08:57:13.0 2006-05-22 08:57:19.0 2006-05-22 08:57:19.0 2006-05-22 08:57:19.0 6 6 1 0 0 2 Changing axis bounds 38 897230 XUwJ9E07Zd Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-1 EG-FACTOR08 1 c-factor-2 2006-05-25 09:27:09.0 2006-05-25 09:27:10.0 2006-05-25 09:27:10.0 2006-05-25 09:27:46.0 5 5 1 1 0 2 897482 YH4M65c5kP Unit ES_02, Section ES_02-9 EG44 3 8y = 2/y*y 2006-04-04 08:54:27.0 2006-04-04 08:54:35.0 2006-04-04 08:54:35.0 2006-04-04 08:54:35.0 8 8 1 0 0 1 897637 YH4M65c5kP Unit CTA1_13, Section CTA1_13-1 PROP01 1 R5C1 2006-04-25 09:18:36.0 2006-04-25 09:18:41.0 2006-04-25 09:18:41.0 2006-04-25 09:18:41.0 5 5 1 0 0 1 Entering a given 29 897716 YH4M65c5kP Unit CTA1_06, Section CTA1_06-2 BH1T20 1 YUnit 2006-05-09 09:12:00.0 2006-05-09 09:12:03.0 2006-05-09 09:12:03.0 2006-05-09 09:12:03.0 3 3 1 0 0 1 897965 229ciAoz51 Unit ES_02, Section ES_02-9 EG44 4 1 = -5/x 2006-05-18 13:41:33.0 2006-05-18 13:44:19.0 2006-05-18 13:44:19.0 2006-05-18 13:44:19.0 166 166 1 0 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 4 898213 63r5Aj4EeB Unit ES_02, Section ES_02-9 EG44 3 7/y*y = -3y 2006-04-03 13:53:09.0 2006-04-03 13:53:15.0 2006-04-03 13:53:21.0 2006-04-03 13:53:21.0 12 12 0 1 0 1 898282 63r5Aj4EeB Unit CTA1_13, Section CTA1_13-1 PROP04 3 R6C2 2006-04-11 14:27:54.0 2006-04-11 14:28:29.0 2006-04-11 14:28:29.0 2006-04-11 14:28:29.0 35 35 1 0 0 1 Find Y, Simple~~Using small numbers~~Using difficult numbers 3~~5~~5 898352 63r5Aj4EeB Unit CTA1_01, Section CTA1_01-3 BH1T30 1 R2C1 2006-05-09 13:56:52.0 2006-05-09 13:57:07.0 2006-05-09 13:58:12.0 2006-05-09 13:58:12.0 80 80 0 2 0 1 Identifying units 8 898440 654Dd1132b Unit CTA1_01, Section CTA1_01-4 JAN04A 1 R4C1 2006-03-23 13:49:10.0 2006-03-23 13:49:16.0 2006-03-23 13:49:16.0 2006-03-23 13:49:16.0 6 6 1 0 0 1 Entering a given 16 898504 654Dd1132b Unit CTA1_02, Section CTA1_02-2 BH1T23 1 R7C1 2006-03-23 14:32:04.0 2006-03-23 14:32:05.0 2006-03-23 14:32:05.0 2006-03-23 14:32:05.0 1 1 1 0 0 1 Using simple numbers~~Using small numbers~~Find X, Simple 41~~23~~2 898935 6GOYcFMPF2 Unit ES_02, Section ES_02-8 EG41 5 24/1 = -y/2*-2/1 2006-05-01 09:24:02.0 2006-05-01 09:24:07.0 2006-05-01 09:24:13.0 2006-05-01 09:24:13.0 11 11 0 0 2 1 899030 7H6yD0xNNn Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01-FIXED 1 y1R1 2006-02-28 14:09:31.0 2006-02-28 14:09:32.0 2006-02-28 14:09:32.0 2006-02-28 14:09:32.0 1 1 1 0 0 1 899600 7H6yD0xNNn Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 5 row3-N-y 2006-03-28 14:01:34.0 2006-03-28 14:01:41.0 2006-03-28 14:01:41.0 2006-03-28 14:01:41.0 7 7 1 0 0 1 899608 bw71rBaKg5 Unit CTA1_13, Section CTA1_13-1 PROP04 1 R6C1 2006-03-28 13:36:08.0 2006-03-28 13:36:20.0 2006-03-28 13:36:20.0 2006-03-28 13:36:20.0 12 12 1 0 0 1 Entering a given 3 899612 c6LS9kDJe1 Unit CTA1_13, Section CTA1_13-1 PROP04 1 R1C1 2006-03-01 14:26:42.0 2006-03-01 14:26:59.0 2006-03-01 14:27:56.0 74 74 0 4 2 0 899785 c6LS9kDJe1 Unit CTA1_01, Section CTA1_01-4 REAL32A 1 R5C2 2006-05-18 14:18:23.0 2006-05-18 14:18:27.0 2006-05-18 14:18:27.0 2006-05-18 14:18:27.0 4 4 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope 55~~26~~12 899817 GrT3u8W8Wm Unit CTA1_13, Section CTA1_13-1 PROP04 1 R1C1 2006-02-28 13:20:48.0 2006-02-28 13:26:38.0 2006-02-28 13:26:38.0 350 350 0 1 0 0 899823 j09c45Q1NN Unit ES_02, Section ES_02-1 EG2-FIXED 1 y = 8/2 2006-02-28 14:21:11.0 2006-02-28 14:21:19.0 2006-02-28 14:21:19.0 2006-02-28 14:21:19.0 8 8 1 0 0 1 899855 L24St09aez Unit CTA1_02, Section CTA1_02-2 BH1T21 1 R3C2 2006-04-03 13:40:11.0 2006-04-03 13:40:25.0 2006-04-03 13:40:25.0 2006-04-03 13:40:25.0 14 14 1 0 0 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 9~~2~~4 900184 N4Ab8Bvj98 Unit CTA1_08, Section CTA1_08-3 BH1T07 1 yScale 2006-03-28 14:00:17.0 2006-03-28 14:00:26.0 2006-03-28 14:00:26.0 2006-03-28 14:00:26.0 9 9 1 0 0 2 Changing axis intervals 13 900318 oqL48822V2 Unit CTA1_02, Section CTA1_02-3 L3NOV10C 2 R4C2 2006-04-06 13:31:12.0 2006-04-06 13:31:51.0 2006-04-06 13:31:51.0 2006-04-06 13:31:51.0 39 39 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 33~~2~~18 900504 oqL48822V2 Unit CTA1_08, Section CTA1_08-3 DEC04 1 Intercept Field 1 2006-04-25 14:23:26.0 2006-04-25 14:24:35.0 2006-04-25 14:24:35.0 2006-04-25 14:24:35.0 69 69 1 0 0 1 Entering the y-intercept 9 900676 Zxu8oS1jJ2 Unit CTA1_08, Section CTA1_08-3 FEB08 1 Formula 1 Coeff 1 2006-03-23 14:33:39.0 2006-03-23 14:33:44.0 2006-03-23 14:35:06.0 59 59 0 8 6 0 Setting the slope 7 900721 Zxu8oS1jJ2 Unit ES_04, Section ES_04-1 EG40 3 6 = 5-3x 2006-04-10 13:52:14.0 2006-04-10 13:53:54.0 2006-04-10 13:53:54.0 2006-04-10 13:53:54.0 100 100 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 3 900771 8r7mHkuKX9 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 3 FinalAnswer 2006-03-17 12:08:53.0 2006-03-17 12:09:03.0 2006-03-17 12:09:03.0 2006-03-17 12:09:03.0 10 10 1 0 0 1 perform-mult-sp 18 900816 8r7mHkuKX9 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 3 (2(x^4)(y^4))/((x^2)(y^2)) 2006-03-17 12:26:20.0 2006-03-17 12:26:23.0 2006-03-17 12:26:23.0 2006-03-17 12:26:23.0 3 3 1 0 0 1 900821 8r7mHkuKX9 Unit CTA1_20, Section CTA1_20-1 2PTS03 1 R2C2 2006-03-17 12:28:22.0 2006-03-17 12:28:24.0 2006-03-17 12:28:24.0 2006-03-17 12:28:24.0 2 2 1 0 0 1 Identifying units 2 900905 8r7mHkuKX9 Unit CTA1_24, Section CTA1_24-1 REAL06 1 R4C1 2006-04-04 12:24:59.0 2006-04-04 12:25:04.0 2006-04-04 12:25:04.0 2006-04-04 12:25:04.0 5 5 1 0 0 1 Entering a given 29 901108 8r7mHkuKX9 Unit CTA1_25, Section CTA1_25-1 BH1T05 1 YUnit 2006-04-06 12:45:41.0 2006-04-06 12:45:43.0 2006-04-06 12:45:43.0 2006-04-06 12:45:43.0 2 2 1 0 0 1 901251 eqyJr5jsoU Unit CTA1_01, Section CTA1_01-4 L1FB12C 2 R3C2 2006-04-19 12:13:00.0 2006-04-19 12:13:00.0 2006-04-19 12:13:00.0 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 34~~10~~6 901419 eqyJr5jsoU Unit CTA1_02, Section CTA1_02-4 BH1T29B 1 R3C2 2006-04-27 12:08:58.0 2006-04-27 12:09:17.0 2006-04-27 12:10:50.0 2006-04-27 12:10:50.0 47 47 0 2 0 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 77~~39~~6 901667 eqyJr5jsoU Unit CTA1_08, Section CTA1_08-2 BH1T04 1 yMax 2006-05-23 13:17:27.0 2006-05-23 13:17:47.0 2006-05-23 13:17:47.0 2006-05-23 13:18:00.0 24 24 1 0 0 2 Changing axis bounds 37 901797 Exz0X2naK1 Unit CTA1_02, Section CTA1_02-4 REAL28 1 R2C2 2006-02-21 13:10:09.0 2006-02-21 13:10:21.0 2006-02-21 13:10:35.0 2006-02-21 13:10:35.0 26 26 0 1 0 1 Identifying units 7 901823 Exz0X2naK1 Unit ES_01, Section ES_01-1 EG4 1 9(4+2) 2006-02-23 12:05:00.0 2006-02-23 12:05:13.0 2006-02-23 12:05:13.0 2006-02-23 12:05:13.0 13 13 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 3~~3 902095 Exz0X2naK1 Unit CTA1_08, Section CTA1_08-3 JAN12 1 R3C1 2006-03-06 14:19:14.0 2006-03-06 14:19:15.0 2006-03-06 14:19:15.0 2006-03-06 14:19:15.0 1 1 1 0 0 1 Define Variable 26 902206 Exz0X2naK1 Unit ES_04, Section ES_04-3 EG54 2 7 = 2(y+1) 2006-03-17 12:34:46.0 2006-03-17 12:34:52.0 2006-03-17 12:34:52.0 2006-03-17 12:34:52.0 6 6 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 6 902267 Exz0X2naK1 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 FinalAnswer 2006-04-03 12:29:37.0 2006-04-03 12:29:49.0 2006-04-03 12:29:49.0 2006-04-03 12:29:49.0 12 12 1 0 0 1 perform-mult-sp 16 902376 Exz0X2naK1 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS09 2 row3-N-constant factors 2006-04-06 13:07:32.0 2006-04-06 13:07:36.0 2006-04-06 13:07:36.0 2006-04-06 13:07:36.0 4 4 1 0 0 1 902539 K46aEi2Oi7 Unit CTA1_08, Section CTA1_08-3 DEC04 1 R2C1 2006-02-21 12:44:50.0 2006-02-21 12:44:59.0 2006-02-21 12:44:59.0 2006-02-21 12:44:59.0 9 9 1 0 0 1 Identifying units 15 902656 K46aEi2Oi7 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01-FIXED 1 x1R1 2006-04-03 12:15:01.0 2006-04-03 12:15:05.0 2006-04-03 12:15:05.0 2006-04-03 12:15:05.0 4 4 1 0 0 1 902880 K46aEi2Oi7 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 5 row3-N-constant factors 2006-05-16 12:14:09.0 2006-05-16 12:14:17.0 2006-05-16 12:14:22.0 2006-05-16 12:14:22.0 13 13 0 1 0 1 903142 KiDu7A3iD8 Unit CTA1_02, Section CTA1_02-3 BH1T39B 1 XLabel 2006-02-17 13:02:24.0 2006-02-17 13:02:32.0 2006-02-17 13:02:32.0 2006-02-17 13:02:32.0 8 8 1 0 0 1 Labelling the axes 16 903434 KiDu7A3iD8 Unit ES_01, Section ES_01-6 EG21 2 x+8 = -9 2006-03-17 12:34:42.0 2006-03-17 12:34:56.0 2006-03-17 12:34:56.0 2006-03-17 12:34:56.0 14 14 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 3~~2 903698 KiDu7A3iD8 Unit CTA1_08, Section CTA1_08-3 FEB08 1 yMax 2006-04-27 12:18:25.0 2006-04-27 12:18:30.0 2006-04-27 12:19:52.0 2006-04-27 12:19:52.0 11 11 0 1 0 1 Changing axis bounds 68 903774 KiDu7A3iD8 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS08 2 FinalAnswer 2006-04-27 12:38:10.0 2006-04-27 12:38:20.0 2006-04-27 12:38:20.0 2006-04-27 12:38:20.0 10 10 1 0 0 1 perform-mult-sp 25 904035 KiDu7A3iD8 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS08 7 pm-r-den-node 2006-05-22 12:06:11.0 2006-05-22 12:06:12.0 2006-05-22 12:06:12.0 2006-05-22 12:06:12.0 1 1 1 0 0 1 904259 O46hm6g2nf Unit CTA1_02, Section CTA1_02-4 BH1T29C 2 Point 1.2 2006-04-06 12:13:11.0 2006-04-06 12:13:51.0 2006-04-06 12:13:58.0 47 47 0 0 2 0 Correctly placing points 9 904544 O46hm6g2nf Unit CTA1_08, Section CTA1_08-3 L5FB02 1 Formula 1 Coeff 1 2006-04-24 12:32:28.0 2006-04-24 12:32:37.0 2006-04-24 12:32:40.0 2006-04-24 12:32:40.0 12 12 0 1 0 1 Setting the slope 16 904616 O46hm6g2nf Unit ES_04, Section ES_04-1 EG4-FIXED 1 x+2 = 5 2006-04-25 12:32:05.0 2006-04-25 12:33:24.0 2006-04-25 12:34:08.0 2006-04-25 12:34:08.0 123 123 0 0 3 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 1~~1 904687 O46hm6g2nf Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01-FIXED 1 y2R1 2006-04-27 12:33:35.0 2006-04-27 12:33:40.0 2006-04-27 12:33:40.0 2006-04-27 12:33:40.0 5 5 1 0 0 1 904809 O46hm6g2nf Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 1 row1-D-constant factors 2006-05-16 12:16:23.0 2006-05-16 12:16:45.0 2006-05-16 12:16:45.0 2006-05-16 12:23:55.0 24 24 1 0 0 3 905076 O4PQ25r2dR Unit CTA1_02, Section CTA1_02-4 REAL28 1 R5C2 2006-03-13 12:27:35.0 2006-03-13 12:27:52.0 2006-03-13 12:27:52.0 2006-03-13 12:27:52.0 17 17 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, negative slope 55~~34~~12 905220 O4PQ25r2dR Unit ES_01, Section ES_01-8 EG24 1 5/-6 = x 2006-03-17 12:10:47.0 2006-03-17 12:10:57.0 2006-03-17 12:10:57.0 2006-03-17 12:10:57.0 10 10 1 0 0 1 905368 O4PQ25r2dR Unit CTA1_08, Section CTA1_08-2 BH1T04 1 Slope Field 1 2006-04-20 12:16:01.0 2006-04-20 12:16:19.0 2006-04-20 12:17:00.0 2006-04-20 12:17:00.0 30 30 0 1 0 1 Entering the slope 10 905466 O4PQ25r2dR Unit ES_04, Section ES_04-2 EG40 1 9x/9 = 0/9 2006-04-27 12:55:33.0 2006-04-27 12:55:40.0 2006-04-27 12:55:40.0 2006-04-27 12:55:57.0 24 24 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 1 905483 O4PQ25r2dR Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS08 1 x1R1 2006-05-16 12:22:31.0 2006-05-16 12:22:36.0 2006-05-16 12:22:36.0 2006-05-16 12:22:36.0 5 5 1 0 0 1 905710 wkQxI30ZH6 Unit CTA1_08, Section CTA1_08-3 L5FB02 1 R2C2 2006-02-21 12:53:37.0 2006-02-21 12:53:40.0 2006-02-21 12:53:40.0 2006-02-21 12:53:40.0 3 3 1 0 0 1 Identifying units 21 905844 wkQxI30ZH6 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS09 2 yR2 2006-03-17 12:16:36.0 2006-03-17 12:16:42.0 2006-03-17 12:16:42.0 2006-03-17 12:16:42.0 6 6 1 0 0 1 perform-mult-row2-sp 12 905940 wkQxI30ZH6 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01-FIXED 1 row1-D-x 2006-04-03 12:11:24.0 2006-04-03 12:11:26.0 2006-04-03 12:11:26.0 2006-04-03 12:11:26.0 2 2 1 0 0 1 906026 wkQxI30ZH6 Unit CTA1_24, Section CTA1_24-1 PROP16 1 J/5 = 1600 2006-04-25 13:18:05.0 2006-04-25 13:18:14.0 2006-04-25 13:18:14.0 2006-04-25 13:18:14.0 9 9 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 1~~2 906302 XrH5AAPdtj Unit CTA1_02, Section CTA1_02-4 BH1T29 1 R5C2 2006-02-23 12:28:32.0 2006-02-23 12:28:38.0 2006-02-23 12:28:38.0 2006-02-23 12:28:38.0 6 6 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 56~~18~~2 906590 XrH5AAPdtj Unit CTA1_08, Section CTA1_08-3 L5FB02 1 R3C2 2006-04-03 12:11:32.0 2006-04-03 12:11:33.0 2006-04-03 12:12:18.0 2006-04-03 12:12:18.0 40 40 0 2 5 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 83~~59~~22 906712 XrH5AAPdtj Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 xR2 2006-04-20 12:22:10.0 2006-04-20 12:22:16.0 2006-04-20 12:22:16.0 2006-04-20 12:22:16.0 6 6 1 0 0 1 perform-mult-row2-sp 16 907073 XrH5AAPdtj Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS02 3 row3-D-x 2006-04-27 12:09:07.0 2006-04-27 12:09:08.0 2006-04-27 12:09:08.0 2006-04-27 12:09:08.0 1 1 1 0 0 1 907170 XrH5AAPdtj Unit CTA1_24, Section CTA1_24-1 PERCENT15 1 R4C1 2006-04-27 12:51:41.0 2006-04-27 12:51:48.0 2006-04-27 12:51:48.0 2006-04-27 12:51:48.0 7 7 1 0 0 1 Entering a given 88 907253 XrH5AAPdtj Unit CTA1_25, Section CTA1_25-1 BH1T50 2 Point 1.2 2006-05-16 12:21:58.0 2006-05-16 12:22:22.0 2006-05-16 12:22:49.0 37 37 0 0 2 0 Correctly placing points 11 907462 12ws2Vy47j Unit CTA1_06, Section CTA1_06-4 JAN09 1 R5C1 2006-04-04 13:40:40.0 2006-04-04 13:40:44.0 2006-04-04 13:40:44.0 2006-04-04 13:40:44.0 4 4 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 16~~12~~11 907847 12ws2Vy47j Unit ES_03, Section ES_03-8 LIT3A 1 k-d = z 2006-04-19 13:43:40.0 2006-04-19 13:43:45.0 2006-04-19 13:43:45.0 2006-04-19 13:43:45.0 5 5 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 52 908193 12ws2Vy47j Unit CTA1_08, Section CTA1_08-3 REAL37 1 XUnit 2006-04-25 13:40:14.0 2006-04-25 13:40:17.0 2006-04-25 13:40:17.0 2006-04-25 13:40:17.0 3 3 1 0 0 1 908388 12ws2Vy47j Unit ES_04, Section ES_04-13 LIT46 1 3 = -5h*n 2006-04-27 13:27:14.0 2006-04-27 13:27:19.0 2006-04-27 13:27:49.0 2006-04-27 13:27:49.0 35 35 0 2 3 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 99 908709 12ws2Vy47j Unit CTA1_10, Section CTA1_10-4 DISTFB07_SP 1 -540+13.5G = 1500 2006-05-16 13:44:00.0 2006-05-16 13:44:05.0 2006-05-16 13:44:05.0 2006-05-16 13:44:05.0 5 5 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 144~~27 908859 12ws2Vy47j Unit ES_07, Section ES_07-1 LIT51 1 x+m = q*(n+r) 2006-05-22 13:52:22.0 2006-05-22 13:52:35.0 2006-05-22 13:52:35.0 2006-05-22 13:52:35.0 13 13 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 142 909135 5Q69X4zFkC Unit CTA1_06, Section CTA1_06-3 JAN06 1 R2C2 2006-04-21 10:27:28.0 2006-04-21 10:27:39.0 2006-04-21 10:27:39.0 2006-04-21 10:27:39.0 11 11 1 0 0 1 Identifying units 19 909712 6d2wZ1x370 Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 R4C1 2006-04-06 14:26:32.0 2006-04-06 14:26:45.0 2006-04-06 14:26:45.0 2006-04-06 14:26:45.0 13 13 1 0 0 1 Entering a given 68 910070 6d2wZ1x370 Unit ES_03, Section ES_03-8 LIT17A 1 z+r-r = 0r-r 2006-04-19 21:43:46.0 2006-04-19 21:43:52.0 2006-04-19 21:43:52.0 2006-04-19 21:43:52.0 6 6 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 44 910233 6d2wZ1x370 Unit CTA1_08, Section CTA1_08-2 REAL31 1 Formula 1 Coeff 0 2006-04-20 14:14:01.0 2006-04-20 14:14:10.0 2006-04-20 14:14:10.0 2006-04-20 14:14:10.0 9 9 1 0 0 1 Setting the y-intercept 11 910845 6d2wZ1x370 Unit ES_04, Section ES_04-16 LIT58A 1 7+z*(c+q)-7 = s+g-7 2006-05-16 13:49:14.0 2006-05-16 13:49:22.0 2006-05-16 13:49:22.0 2006-05-16 13:49:32.0 18 18 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 53 911141 6d2wZ1x370 Unit CTA1_10, Section CTA1_10-6 DISTFB13_SP 1 R1C2 2006-05-22 13:45:44.0 2006-05-22 13:45:59.0 2006-05-22 13:45:59.0 2006-05-22 13:45:59.0 15 15 1 0 0 1 911235 i5dD6Xy8jL Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 Point 1.2 2006-02-23 13:37:22.0 2006-02-23 13:37:57.0 2006-02-23 13:37:57.0 35 35 0 0 1 0 Correctly placing points 2 911507 i5dD6Xy8jL Unit ES_03, Section ES_03-8 LIT12A 1 m-3+3 = j+3 2006-03-27 13:44:31.0 2006-03-27 13:44:34.0 2006-03-27 13:44:34.0 2006-03-27 13:44:39.0 8 8 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 14 911678 i5dD6Xy8jL Unit CTA1_08, Section CTA1_08-3 DEC04 1 R1C1 2006-04-06 13:44:31.0 2006-04-06 13:45:49.0 2006-04-06 13:46:02.0 2006-04-06 13:46:02.0 91 91 0 1 0 1 911931 i5dD6Xy8jL Unit ES_04, Section ES_04-13 LIT20 1 r/c+b = d 2006-04-20 13:54:15.0 2006-04-20 13:54:36.0 2006-04-20 13:54:36.0 2006-04-20 13:54:36.0 21 21 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 76 912222 i5dD6Xy8jL Unit CTA1_10, Section CTA1_10-4 DISTFB07_SP 1 ValidEquations 2006-05-18 13:32:28.0 2006-05-18 13:33:02.0 2006-05-18 13:33:02.0 2006-05-18 13:33:48.0 53 53 1 0 0 3 912393 ljX78ko847 Unit ES_03, Section ES_03-7 LIT2 1 -2b+b = x-y 2006-02-23 14:00:53.0 2006-02-23 14:00:57.0 2006-02-23 14:00:57.0 2006-02-23 14:00:57.0 4 4 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 17 912638 ljX78ko847 Unit CTA1_08, Section CTA1_08-3 NOV13 1 YLabel 2006-03-27 13:48:21.0 2006-03-27 13:48:41.0 2006-03-27 13:48:41.0 2006-03-27 13:48:41.0 20 20 1 0 0 1 Labelling the axes 27 912992 ljX78ko847 Unit ES_04, Section ES_04-14 LIT35A 1 -3 = x*c 2006-04-20 13:39:17.0 2006-04-20 13:39:29.0 2006-04-20 13:39:29.0 2006-04-20 13:39:29.0 12 12 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 82 913276 ljX78ko847 Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 R4C2 2006-04-25 14:24:37.0 2006-04-25 14:24:42.0 2006-04-25 14:24:42.0 2006-04-25 14:24:42.0 5 5 1 0 0 1 Entering a given 63 913464 ljX78ko847 Unit ES_07, Section ES_07-4 LIT63A 1 FinalAnswer 2006-04-27 14:14:52.0 2006-04-27 14:15:02.0 2006-04-27 14:15:02.0 2006-04-27 14:15:02.0 10 10 1 0 0 1 factor-sp 7 913500 ljX78ko847 Unit CTA1_12, Section CTA1_12-1 LDEMO_SYS 1 R3C3 2006-04-27 14:28:40.0 2006-04-27 14:28:56.0 2006-04-27 14:28:56.0 2006-04-27 14:28:56.0 16 16 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 44~~54~~39 913574 nybp7zY98z Unit CTA1_04, Section CTA1_04-4 BH1T47C 1 -8M = 1450 2006-03-06 13:44:48.0 2006-03-06 13:44:55.0 2006-03-06 13:44:55.0 2006-03-06 13:44:55.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 8~~4 913793 nybp7zY98z Unit ES_02, Section ES_02-8 EG41 3 row3-N-x 2006-04-15 14:34:10.0 2006-04-15 14:34:21.0 2006-04-15 14:34:53.0 2006-04-15 14:34:53.0 43 43 0 1 1 1 914096 nybp7zY98z Unit CTA1_13, Section CTA1_13-1 PROP06 1 R5C1 2006-04-27 12:46:37.0 2006-04-27 12:46:43.0 2006-04-27 12:46:43.0 2006-04-27 12:46:43.0 6 6 1 0 0 1 Entering a given 53 914169 nybp7zY98z Unit CTA1_06, Section CTA1_06-2 L5FB16 1 R1C1 2006-05-10 13:23:38.0 2006-05-10 13:25:08.0 2006-05-10 13:25:08.0 2006-05-10 13:25:08.0 90 90 1 0 0 1 914242 q1Yar3mIhE Unit CTA1_13, Section CTA1_13-1 PROP13 1 R5C1 2006-02-21 13:37:56.0 2006-02-21 13:38:19.0 2006-02-21 13:38:19.0 2006-02-21 13:38:19.0 23 23 1 0 0 1 Entering a given~~Convert unit, standard 14~~2 914431 q1Yar3mIhE Unit CTA1_06, Section CTA1_06-2 DEC02 4 xMin 2006-04-25 14:09:00.0 2006-04-25 14:09:09.0 2006-04-25 14:09:09.0 2006-04-25 14:09:09.0 9 9 1 0 0 1 Changing axis bounds 29 914535 Qb2LYvN3zF Unit ES_02, Section ES_02-9 EG44 4 x = -7/-7 2006-02-23 09:23:12.0 2006-02-23 09:23:21.0 2006-02-23 09:23:21.0 2006-02-23 09:23:21.0 9 9 1 0 0 1 914645 Qb2LYvN3zF Unit CTA1_13, Section CTA1_13-1 PROP08 1 R1C2 2006-02-25 17:20:49.0 2006-02-25 17:21:14.0 2006-02-25 17:21:14.0 2006-02-25 17:21:14.0 25 25 1 0 0 1 914944 Qb2LYvN3zF Unit CTA1_06, Section CTA1_06-3 BH1T40 2 ValidEquations 2006-02-26 10:48:25.0 2006-02-26 10:48:44.0 2006-02-26 10:48:44.0 2006-02-26 10:49:22.0 30 30 1 0 0 3 915210 Qb2LYvN3zF Unit ES_03, Section ES_03-5 EG52 1 3.6 = 2y+3+y 2006-02-27 07:41:37.0 2006-02-27 07:41:46.0 2006-02-27 07:41:46.0 2006-02-27 07:41:46.0 9 9 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 20 915417 QDsPNlZ5i1 Unit ES_04, Section ES_04-13 LIT37 1 y = -t*x 2006-04-03 13:35:43.0 2006-04-03 13:35:50.0 2006-04-03 13:35:50.0 2006-04-03 13:35:50.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 36 915719 QDsPNlZ5i1 Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 R7C2 2006-04-27 14:10:50.0 2006-04-27 14:11:07.0 2006-04-27 14:11:07.0 2006-04-27 14:11:07.0 17 17 1 0 0 1 Entering a given 58 915827 QDsPNlZ5i1 Unit ES_07, Section ES_07-2 LIT49A 1 row2q 2006-05-16 13:53:13.0 2006-05-16 13:53:44.0 2006-05-16 13:54:35.0 2006-05-16 13:54:35.0 71 71 0 5 1 1 915919 vkQ059OE0u Unit CTA1_04, Section CTA1_04-2 PERCENT03A 1 R7C1 2006-04-04 13:52:46.0 2006-04-04 13:53:28.0 2006-04-04 13:53:28.0 2006-04-04 13:53:28.0 42 42 1 0 0 1 Using small numbers~~Find X, Simple~~Using difficult numbers 23~~14~~26 916225 vkQ059OE0u Unit ES_02, Section ES_02-6 EG40 3 -7y+0 = 9 2006-05-15 13:51:07.0 2006-05-15 13:51:13.0 2006-05-15 13:51:13.0 2006-05-15 13:53:56.0 62 62 1 1 0 3 [SkillRule: Consolidate vars with coeff; CLT] 42 916714 WD2Q7495E0 Unit CTA1_06, Section CTA1_06-5 FBSMR2 2 R5C1 2006-04-20 14:06:00.0 2006-04-20 14:06:21.0 2006-04-20 14:06:21.0 2006-04-20 14:06:21.0 10.5 10.5 1 0 0 1 Entering a given 71 916970 WD2Q7495E0 Unit ES_03, Section ES_03-7 LIT5 1 m/q = x 2006-04-27 14:21:36.0 2006-04-27 14:21:56.0 2006-04-27 14:22:10.0 34 34 0 2 2 0 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 56 917224 WD2Q7495E0 Unit CTA1_08, Section CTA1_08-2 FEB02 1 yMax 2006-05-16 14:02:30.0 2006-05-16 14:04:05.0 2006-05-16 14:04:05.0 2006-05-16 14:04:05.0 95 95 1 0 0 1 Changing axis bounds 77 917401 YvD7H8XduF Unit ES_04, Section ES_04-16 LIT54A 1 m*y/m = (c-m*u)/m 2006-02-21 14:17:25.0 2006-02-21 14:17:29.0 2006-02-21 14:17:29.0 2006-02-21 14:17:38.0 13 13 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 14 917669 YvD7H8XduF Unit CTA1_10, Section CTA1_10-6 DISTFB13_SP 1 R3C1 2006-04-04 13:34:33.0 2006-04-04 13:34:35.0 2006-04-04 13:34:35.0 2006-04-04 13:34:35.0 2 2 1 0 0 1 Define Variable 17 917758 YvD7H8XduF Unit ES_07, Section ES_07-4 LIT63A 1 n*t-h*r = c*j+z*n 2006-04-04 14:03:48.0 2006-04-04 14:03:57.0 2006-04-04 14:03:57.0 2006-04-04 14:03:57.0 9 9 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 8 918101 YvD7H8XduF Unit CTA1_12, Section CTA1_12-5 SYSFB25 1 ValidEquations 2006-04-19 13:27:14.0 2006-04-19 13:27:43.0 2006-04-19 13:27:43.0 2006-04-19 13:29:10.0 45 45 1 0 0 3 918360 YvD7H8XduF Unit ES_05, Section ES_05-12 LIT40 1 y-m*x = m*x+b-m*x 2006-04-24 13:39:22.0 2006-04-24 13:39:24.0 2006-04-24 13:39:24.0 2006-04-24 13:39:51.0 29 29 1 2 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 57 918756 YvD7H8XduF Unit CTA1_14, Section CTA1_14-4 2PTFB13 1 R3C2 2006-04-27 14:22:55.0 2006-04-27 14:25:19.0 2006-04-27 14:26:11.0 2006-04-27 14:26:11.0 159 159 0 0 3 1 Using simple numbers~~Using small numbers~~Write expression, two points 117~~97~~11 918910 0YvZonpLW8 Unit CTA1_01, Section CTA1_01-4 JAN13B 1 R1C2 2006-03-01 21:37:05.0 2006-03-01 21:37:10.0 2006-03-01 21:37:10.0 2006-03-01 21:37:10.0 5 5 1 0 0 1 919105 0YvZonpLW8 Unit CTA1_02, Section CTA1_02-3 L3NOV12B 1 R1C1 2006-03-02 12:21:37.0 2006-03-02 12:21:40.0 2006-03-02 12:21:40.0 2006-03-02 12:21:40.0 3 3 1 0 0 1 919218 0YvZonpLW8 Unit ES_01, Section ES_01-2 EG4 2 FinalAnswer 2006-03-02 12:44:19.0 2006-03-02 12:44:23.0 2006-03-02 12:44:28.0 2006-03-02 12:44:34.0 11 11 0 1 0 2 perform-mult-sp~~combine-like-terms-whole-sp 4~~4 919410 0YvZonpLW8 Unit CTA1_08, Section CTA1_08-3 DEC04 1 YLabel 2006-03-21 12:30:17.0 2006-03-21 12:30:26.0 2006-03-21 12:30:26.0 2006-03-21 12:30:26.0 9 9 1 0 0 1 Labelling the axes 49 919554 0YvZonpLW8 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS09 2 FinalAnswer 2006-03-21 12:55:14.0 2006-03-21 12:55:22.0 2006-03-21 12:55:40.0 2006-03-21 12:55:40.0 26 26 0 1 0 1 perform-mult-sp 18 919657 0YvZonpLW8 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 4 (2y^4)/y^4 2006-05-04 12:18:31.0 2006-05-04 12:18:34.0 2006-05-04 12:18:34.0 2006-05-04 12:18:34.0 3 3 1 0 0 1 919689 0YvZonpLW8 Unit CTA1_24, Section CTA1_24-1 NOV05 1 R1C2 2006-05-18 12:24:46.0 2006-05-18 12:24:53.0 2006-05-18 12:24:53.0 2006-05-18 12:24:53.0 7 7 1 0 0 1 919724 162lfGskK2 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 2 (6(x^2)(y^2))(2(x^2)(y^6)) 2006-03-02 12:15:07.0 2006-03-02 12:15:12.0 2006-03-02 12:15:12.0 2006-03-02 12:15:12.0 5 5 1 0 0 1 919764 162lfGskK2 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01 1 FinalAnswer 2006-03-02 13:06:17.0 2006-03-02 13:06:57.0 2006-03-02 13:06:57.0 2006-03-02 13:06:57.0 40 40 1 0 0 1 simplify-fractions-sp 17 919968 40ARhM4nkF Unit CTA1_08, Section CTA1_08-3 REAL10 1 Formula 1 Coeff 1 2006-03-21 12:52:16.0 2006-03-21 12:52:20.0 2006-03-21 12:52:20.0 2006-03-21 12:52:20.0 4 4 1 0 0 1 Setting the slope 14 920064 40ARhM4nkF Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01-FIXED 1 FinalAnswer 2006-03-23 12:11:24.0 2006-03-23 12:11:41.0 2006-03-23 12:12:22.0 2006-03-23 12:12:22.0 58 58 0 1 0 1 perform-mult-sp 11 920108 40ARhM4nkF Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 1 (3(x^4)(y^3))/((x^3)(y^2)) 2006-03-23 12:29:30.0 2006-03-23 12:29:34.0 2006-03-23 12:29:34.0 2006-03-23 12:29:34.0 4 4 1 0 0 1 920167 5S2tY93Oo1 Unit CTA1_24, Section CTA1_24-1 L3REAL45 1 R5C1 2006-02-28 12:42:12.0 2006-02-28 12:42:18.0 2006-02-28 12:42:18.0 2006-02-28 12:42:18.0 6 6 1 0 0 1 Entering a given~~Convert unit, standard 17~~1 920299 5S2tY93Oo1 Unit CTA1_25, Section CTA1_25-1 BH1T50 1 R4C1 2006-03-02 12:18:18.0 2006-03-02 12:18:52.0 2006-03-02 12:18:52.0 2006-03-02 12:18:52.0 34 34 1 0 0 1 Entering a given~~Convert unit, standard 46~~2 920377 5S2tY93Oo1 Unit CTA1_26, Section CTA1_26-1 BH1T06 1 XUnit 2006-03-02 12:39:03.0 2006-03-02 12:39:07.0 2006-03-02 12:39:07.0 2006-03-02 12:39:07.0 4 4 1 0 0 1 920514 5S2tY93Oo1 Unit CTA1_27, Section CTA1_27-1 FOR06C 1 R5C1 2006-03-21 12:19:00.0 2006-03-21 12:19:13.0 2006-03-21 12:19:13.0 2006-03-21 12:19:13.0 13 13 1 0 0 1 Entering a given 80 920718 7esK30uHH1 Unit ES_01, Section ES_01-8 EG24 2 -4/-8 = -8x/-8 2006-03-02 12:06:22.0 2006-03-02 12:06:34.0 2006-03-02 12:06:34.0 2006-03-02 12:06:34.0 12 12 1 0 0 1 920914 7esK30uHH1 Unit ES_02, Section ES_02-6 EG40 3 -11/5 = 5y/5 2006-03-21 12:31:06.0 2006-03-21 12:31:33.0 2006-03-21 12:31:33.0 2006-03-21 12:31:54.0 48 48 1 0 0 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 6 921185 7esK30uHH1 Unit CTA1_01, Section CTA1_01-4 REAL32C 2 R4C1 2006-05-04 13:21:58.0 2006-05-04 13:23:02.0 2006-05-04 13:23:02.0 2006-05-04 13:23:02.0 64 64 1 0 0 1 Entering a given 40 921381 7esK30uHH1 Unit CTA1_02, Section CTA1_02-2 BH1T21C 1 xMax 2006-05-04 14:25:44.0 2006-05-04 14:25:47.0 2006-05-04 14:25:47.0 2006-05-04 14:25:47.0 3 3 1 0 0 1 Changing axis bounds 26 921538 DZXDgO0B3u Unit CTA1_08, Section CTA1_08-3 NOV13 1 R3C1 2006-03-23 12:47:29.0 2006-03-23 12:47:31.0 2006-03-23 12:47:31.0 2006-03-23 12:47:31.0 2 2 1 0 0 1 Define Variable 10 921610 DZXDgO0B3u Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS09 2 FinalAnswer 2006-03-23 13:13:49.0 2006-03-23 13:14:00.0 2006-03-23 13:14:00.0 2006-03-23 13:14:00.0 11 11 1 0 0 1 perform-mult-sp 8 921941 DZXDgO0B3u Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 3 row1-D-x 2006-05-23 12:04:18.0 2006-05-23 12:04:22.0 2006-05-23 12:04:22.0 2006-05-23 12:04:22.0 4 4 1 0 0 1 921994 e5Ef9RFIF0 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS07 2 FinalAnswer 2006-03-23 12:17:48.0 2006-03-23 12:18:07.0 2006-03-23 12:18:07.0 2006-03-23 12:18:07.0 19 19 1 0 0 1 perform-mult-sp 15 922058 e5Ef9RFIF0 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01 1 FinalAnswer 2006-03-23 12:58:38.0 2006-03-23 12:59:03.0 2006-03-23 12:59:03.0 2006-03-23 12:59:03.0 25 25 1 0 0 1 simplify-fractions-sp 20 922133 h31E235Th5 Unit CTA1_02, Section CTA1_02-4 REAL28 1 R2C2 2006-05-04 12:46:12.0 2006-05-04 12:46:30.0 2006-05-04 12:46:30.0 2006-05-04 12:46:30.0 18 18 1 0 0 1 Identifying units 5 922156 h31E235Th5 Unit ES_01, Section ES_01-1 EG4 1 1(7+2) 2006-05-04 12:52:52.0 2006-05-04 12:52:56.0 2006-05-04 12:52:56.0 2006-05-04 12:52:56.0 4 4 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 3~~3 922173 h31E235Th5 Unit CTA1_08, Section CTA1_08-1 LDEMO_MBGRPH 1 yMax 2006-05-04 13:03:31.0 2006-05-04 13:04:06.0 2006-05-04 13:10:04.0 89 89 0 3 4 0 Changing axis bounds 7 922184 H4UD7rojkA Unit ES_01, Section ES_01-1 EG1 2 10+3*9 2006-02-28 12:27:29.0 2006-02-28 12:27:33.0 2006-02-28 12:27:33.0 2006-02-28 12:27:33.0 4 4 1 0 0 1 [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] 3 922341 H4UD7rojkA Unit CTA1_08, Section CTA1_08-2 FEB02 1 Formula 1 Coeff 0 2006-04-20 12:51:35.0 2006-04-20 12:51:41.0 2006-04-20 12:51:41.0 2006-04-20 12:51:41.0 6 6 1 0 0 1 Setting the y-intercept 11 922442 H4UD7rojkA Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS08 2 FinalAnswer 2006-05-09 12:11:00.0 2006-05-09 12:11:15.0 2006-05-09 12:11:31.0 2006-05-09 12:11:31.0 31 31 0 1 0 1 perform-mult-sp 8 922494 H4UD7rojkA Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS08 2 FinalAnswer 2006-05-09 12:44:56.0 2006-05-09 12:45:11.0 2006-05-09 12:45:11.0 2006-05-09 12:45:11.0 15 15 1 0 0 1 simplify-fractions-sp 17 922538 hK3QE3xOF8 Unit CTA1_02, Section CTA1_02-4 REAL28 1 YLabel 2006-05-22 12:23:00.0 2006-05-22 12:23:09.0 2006-05-22 12:23:09.0 2006-05-22 12:23:09.0 9 9 1 0 0 1 Labelling the axes 3 922554 hK3QE3xOF8 Unit CTA1_08, Section CTA1_08-1 LDEMO_MBGRPH 1 Intercept Field 1 2006-05-22 12:31:21.0 2006-05-22 12:31:46.0 2006-05-22 12:37:03.0 2006-05-22 12:37:03.0 36 36 0 1 0 1 Entering the y-intercept 1 922806 kKr8NG7YNL Unit CTA1_08, Section CTA1_08-3 REAL37 1 R3C2 2006-05-01 12:16:27.0 2006-05-01 12:16:41.0 2006-05-01 12:16:41.0 2006-05-01 12:16:41.0 14 14 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 17~~14~~9 922983 kKr8NG7YNL Unit ES_04, Section ES_04-12 EG58 1 constant terms1R1 2006-05-02 12:21:57.0 2006-05-02 12:22:04.0 2006-05-02 12:22:04.0 2006-05-02 12:22:04.0 7 7 1 0 0 1 923115 kKr8NG7YNL Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01-FIXED 1 constant factorsR2 2006-05-02 12:49:27.0 2006-05-02 12:49:31.0 2006-05-02 12:49:31.0 2006-05-02 12:49:31.0 4 4 1 0 0 1 perform-mult-row2-sp 13 923390 kKr8NG7YNL Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS02 2 row3-D-constant factors 2006-05-04 12:06:27.0 2006-05-04 12:06:29.0 2006-05-04 12:06:29.0 2006-05-04 12:06:29.0 2 2 1 0 0 1 923542 mt4GxUF641 Unit CTA1_02, Section CTA1_02-4 L2FB14 1 R5C1 2006-03-21 12:34:01.0 2006-03-21 12:34:11.0 2006-03-21 12:34:11.0 2006-03-21 12:34:11.0 10 10 1 0 0 1 Entering a given 31 923593 mt4GxUF641 Unit ES_01, Section ES_01-2 EG3 1 (1+5)*3 2006-03-21 12:50:12.0 2006-03-21 12:50:16.0 2006-03-21 12:50:16.0 2006-03-21 12:50:16.0 4 4 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 5~~5 923787 mt4GxUF641 Unit CTA1_08, Section CTA1_08-3 NOV13 1 Formula 1 Coeff 1 2006-03-23 12:43:41.0 2006-03-23 12:43:45.0 2006-03-23 12:43:45.0 2006-03-23 12:43:45.0 4 4 1 0 0 1 Setting the slope 13 923859 mt4GxUF641 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS09 2 constant factorsR2 2006-03-23 13:03:12.0 2006-03-23 13:03:20.0 2006-03-23 13:03:20.0 2006-03-23 13:03:20.0 8 8 1 0 0 1 perform-mult-row2-sp 11 923909 mt4GxUF641 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS02 1 FinalAnswer 2006-05-04 12:31:40.0 2006-05-04 12:32:02.0 2006-05-04 12:32:02.0 2006-05-04 12:32:02.0 22 22 1 0 0 1 simplify-fractions-sp 17 923986 Ud9p3KH6Bv Unit CTA1_01, Section CTA1_01-4 JAN04B 1 R2C2 2006-03-07 12:16:38.0 2006-03-07 12:16:49.0 2006-03-07 12:19:26.0 2006-03-07 12:19:26.0 154 154 0 2 0 1 Identifying units 14 924191 Ud9p3KH6Bv Unit CTA1_02, Section CTA1_02-3 L3NOV12A 2 xScale 2006-03-23 12:23:00.0 2006-03-23 12:23:14.0 2006-03-23 12:23:14.0 2006-03-23 12:23:14.0 14 14 1 0 0 1 Changing axis intervals 16 924288 UO70mRwd30 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS07 2 (3y^4)(y^5) 2006-03-21 12:11:21.0 2006-03-21 12:11:24.0 2006-03-21 12:11:24.0 2006-03-21 12:11:24.0 3 3 1 0 0 1 924352 UO70mRwd30 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS09 2 row3-D-constant factors 2006-03-21 12:25:37.0 2006-03-21 12:25:38.0 2006-03-21 12:25:38.0 0.5 0.5 0 1 0 0 924408 XHm4u4Y8OU Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 2 (5(x^6)(y^5))(y^2) 2006-02-28 12:36:37.0 2006-02-28 12:36:46.0 2006-02-28 12:36:46.0 2006-02-28 12:36:46.0 9 9 1 0 0 1 924469 XHm4u4Y8OU Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 3 (6y^3)/y^5 2006-03-02 12:41:47.0 2006-03-02 12:41:59.0 2006-03-02 12:41:59.0 2006-03-02 12:49:12.0 250 250 1 0 0 2 924559 49kt2kaD8d Unit CTA1_02, Section CTA1_02-4 BH1T29A 1 R8C1 2006-03-03 12:57:53.0 2006-03-03 12:58:02.0 2006-03-03 12:58:02.0 2006-03-03 12:58:02.0 9 9 1 0 0 1 Entering a given 14 924724 49kt2kaD8d Unit CTA1_08, Section CTA1_08-3 DEC04 1 R3C2 2006-05-05 12:14:18.0 2006-05-05 12:19:45.0 2006-05-05 12:19:45.0 2006-05-05 12:19:45.0 327 327 1 0 0 1 Using small numbers~~Using difficult numbers~~Write expression, initial and change 10~~6~~1 924857 49kt2kaD8d Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 (3(x^4)(y^3))(4(x^2)(y^4)) 2006-05-10 12:10:02.0 2006-05-10 12:10:06.0 2006-05-10 12:10:06.0 2006-05-10 12:10:06.0 4 4 1 0 0 1 924893 49kt2kaD8d Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01 1 (4(x^3)(y^5))/(3(x^3)(y^4)) 2006-05-10 12:30:23.0 2006-05-10 12:30:28.0 2006-05-10 12:30:28.0 2006-05-10 12:30:28.0 5 5 1 0 0 1 925002 7rezIYMwkp Unit CTA1_08, Section CTA1_08-3 JAN12 1 R2C2 2006-05-03 12:21:39.0 2006-05-03 12:21:47.0 2006-05-03 12:21:47.0 2006-05-03 12:21:47.0 8 8 1 0 0 1 Identifying units 12 925068 7rezIYMwkp Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 3 FinalAnswer 2006-05-05 12:13:55.0 2006-05-05 12:14:32.0 2006-05-05 12:14:32.0 2006-05-05 12:14:32.0 37 37 1 0 0 1 perform-mult-sp 20 925093 7rezIYMwkp Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 1 (4y^2)/y^2 2006-05-05 12:26:14.0 2006-05-05 12:26:16.0 2006-05-05 12:26:16.0 2006-05-05 12:26:16.0 2 2 1 0 0 1 925188 A89Fye6g1o Unit CTA1_24, Section CTA1_24-1 FOR02 1 R2C2 2006-03-24 12:16:11.0 2006-03-24 12:16:17.0 2006-03-24 12:16:17.0 2006-03-24 12:16:17.0 6 6 1 0 0 1 Identifying units 9 925352 A89Fye6g1o Unit CTA1_25, Section CTA1_25-1 REAL36 1 R6C1 2006-04-10 13:06:25.0 2006-04-10 13:06:31.0 2006-04-10 13:07:39.0 2006-04-10 13:07:39.0 44 44 0 2 0 1 Using large numbers~~Find X, positive slope~~Using difficult numbers 12~~16~~34 925539 A89Fye6g1o Unit CTA1_26, Section CTA1_26-1 PERCENT08 1 Slope Field 1 2006-05-03 12:16:38.0 2006-05-03 12:16:42.0 2006-05-03 12:16:42.0 2006-05-03 12:16:42.0 4 4 1 0 0 1 Entering the slope 12 925655 A89Fye6g1o Unit CTA1_27, Section CTA1_27-1 PERCENT17 1 R1C1 2006-05-03 12:50:36.0 2006-05-03 12:50:49.0 2006-05-03 12:50:49.0 2006-05-03 12:50:49.0 13 13 1 0 0 1 925784 dq0JPbG008 Unit CTA1_01, Section CTA1_01-3 BH1T28B 1 R2C2 2006-05-10 12:36:17.0 2006-05-10 12:36:24.0 2006-05-10 12:36:24.0 2006-05-10 12:36:24.0 7 7 1 0 0 1 Identifying units 14 925922 dq0JPbG008 Unit CTA1_02, Section CTA1_02-2 BH1T35A 1 yScale 2006-05-16 13:14:34.0 2006-05-16 13:14:41.0 2006-05-16 13:14:41.0 2006-05-16 13:14:41.0 7 7 1 0 0 1 Changing axis intervals 5 925969 E97430334J Unit CTA1_08, Section CTA1_08-3 BH1T07 1 R1C1 2006-03-01 12:51:59.0 2006-03-01 12:52:18.0 2006-03-01 12:52:18.0 2006-03-01 12:52:18.0 19 19 1 0 0 1 926026 E97430334J Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS08 2 FinalAnswer 2006-03-03 12:14:02.0 2006-03-03 12:14:11.0 2006-03-03 12:14:11.0 2006-03-03 12:14:11.0 9 9 1 0 0 1 perform-mult-sp 10 926111 E97430334J Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 2 FinalAnswer 2006-03-03 12:57:01.0 2006-03-03 12:57:10.0 2006-03-03 12:57:10.0 2006-03-03 12:57:41.0 21 21 1 0 0 2 simplify-fractions-sp~~perform-mult-sp 14~~16 926212 FD5m13We02 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 yR2 2006-03-01 12:22:28.0 2006-03-01 12:22:34.0 2006-03-01 12:22:34.0 2006-03-01 12:22:34.0 6 6 1 0 0 1 perform-mult-row2-sp 17 926411 FD5m13We02 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01-FIXED 1 row1-N-x 2006-03-03 12:48:27.0 2006-03-03 12:48:30.0 2006-03-03 12:48:30.0 2006-03-03 12:52:09.0 10 10 1 0 0 2 926444 FD5m13We02 Unit CTA1_24, Section CTA1_24-1 PERCENT07 1 R1C2 2006-04-28 13:07:17.0 2006-04-28 13:07:47.0 2006-04-28 13:07:47.0 2006-04-28 13:07:47.0 30 30 1 0 0 1 926502 GlZwe88Gzo Unit CTA1_02, Section CTA1_02-4 L2FB14C 1 R7C2 2006-03-01 12:51:49.0 2006-03-01 12:51:59.0 2006-03-01 12:51:59.0 2006-03-01 12:56:02.0 14 14 1 0 0 2 Entering a given 10 926588 GlZwe88Gzo Unit ES_01, Section ES_01-5 EG13 1 10+6.5 = y 2006-03-01 13:11:06.0 2006-03-01 13:11:10.0 2006-03-01 13:11:10.0 2006-03-01 13:11:10.0 4 4 1 0 0 1 [SkillRule: Select Combine Terms; CLT]~~[SkillRule: Consolidate vars, no coeff; CLT] 10~~10 926826 GlZwe88Gzo Unit CTA1_08, Section CTA1_08-3 NOV13 1 YLabel 2006-05-03 12:37:33.0 2006-05-03 12:37:39.0 2006-05-03 12:37:39.0 2006-05-03 12:37:39.0 6 6 1 0 0 1 Labelling the axes 34 926858 GlZwe88Gzo Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS09 2 FinalAnswer 2006-05-03 12:55:26.0 2006-05-03 12:55:35.0 2006-05-03 12:55:35.0 2006-05-03 12:55:35.0 9 9 1 0 0 1 perform-mult-sp 19 926907 GlZwe88Gzo Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS02 1 (5(x^2)(y^3))/y^2 2006-05-05 12:24:45.0 2006-05-05 12:24:51.0 2006-05-05 12:24:51.0 2006-05-05 12:24:51.0 6 6 1 0 0 1 927178 gUgPjz2364 Unit CTA1_08, Section CTA1_08-3 FEB08 1 R2C1 2006-03-03 12:57:52.0 2006-03-03 12:57:56.0 2006-03-03 12:57:56.0 2006-03-03 12:57:56.0 4 4 1 0 0 1 Identifying units 24 927264 gUgPjz2364 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 (3(x^6)(y^2))(3y^3) 2006-05-01 12:47:06.0 2006-05-01 12:47:14.0 2006-05-01 12:47:14.0 2006-05-01 12:47:14.0 8 8 1 0 0 1 927294 gUgPjz2364 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS09 2 (2y^2)/(5y^3) 2006-05-19 12:48:39.0 2006-05-19 12:48:42.0 2006-05-19 12:48:42.0 2006-05-19 12:48:42.0 3 3 1 0 0 1 927416 SOs6B7rb1m Unit CTA1_25, Section CTA1_25-1 DEMO_10 1 xMin 2006-03-01 12:43:58.0 2006-03-01 12:43:59.0 2006-03-01 12:43:59.0 2006-03-01 12:43:59.0 1 1 1 0 0 1 Changing axis bounds 15 927525 SOs6B7rb1m Unit CTA1_26, Section CTA1_26-1 BH1T38 1 Intercept Field 1 2006-03-01 13:01:19.0 2006-03-01 13:01:24.0 2006-03-01 13:01:24.0 2006-03-01 13:01:24.0 5 5 1 0 0 1 Entering the y-intercept 8 927680 SOs6B7rb1m Unit CTA1_27, Section CTA1_27-1 FOR07 1 R4C1 2006-03-03 12:44:12.0 2006-03-03 12:44:16.0 2006-03-03 12:44:16.0 2006-03-03 12:44:16.0 4 4 1 0 0 1 Entering a given 68 927724 XT7r2I6hmm Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS02 1 (4(x^2)(y^2))/y^3 2006-03-22 12:10:32.0 2006-03-22 12:10:36.0 2006-03-22 12:10:36.0 2006-03-22 12:10:36.0 4 4 1 0 0 1 927731 XT7r2I6hmm Unit CTA1_20, Section CTA1_20-1 1PTFB16 1 R6C1 2006-03-22 12:15:39.0 2006-03-22 12:15:52.0 2006-03-22 12:15:52.0 13 13 0 1 0 0 Entering a given~~Convert unit, standard 3~~1 927763 y8U9Hdz4E3 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 FinalAnswer 2006-03-01 13:07:33.0 2006-03-01 13:07:53.0 2006-03-01 13:07:53.0 2006-03-01 13:07:53.0 20 20 1 0 0 1 perform-mult-sp 15 927796 y8U9Hdz4E3 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 1 FinalAnswer 2006-03-03 12:51:36.0 2006-03-03 12:52:04.0 2006-03-03 12:52:04.0 2006-03-03 12:52:04.0 28 28 1 0 0 1 simplify-fractions-sp 14 927824 y8U9Hdz4E3 Unit CTA1_20, Section CTA1_20-1 IPCSWIMMING 1 R1C1 2006-03-22 12:12:21.0 2006-03-22 12:13:28.0 2006-03-22 12:13:28.0 2006-03-22 12:13:28.0 67 67 1 0 0 1 928346 04N6FdP4pd Unit CTA1_06, Section CTA1_06-4 L6FB19 1 1.8B = 243 2006-05-04 09:02:09.0 2006-05-04 09:02:15.0 2006-05-04 09:02:15.0 2006-05-04 09:02:15.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 25~~33 928522 04N6FdP4pd Unit ES_03, Section ES_03-2 EG46 1 9x-2 = -2 2006-05-09 09:17:47.0 2006-05-09 09:17:55.0 2006-05-09 09:17:55.0 2006-05-09 09:17:55.0 8 8 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 48~~23 928856 45euP7C062 Unit ES_04, Section ES_04-15 LIT54 1 k*x+k*t-k*t = b-k*t 2006-03-28 08:49:15.0 2006-03-28 08:49:18.0 2006-03-28 08:49:18.0 2006-03-28 08:49:18.0 3 3 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 25 929125 45euP7C062 Unit CTA1_10, Section CTA1_10-3 DISTFB06_SP 1 0.3(J-100000) = 202500 2006-04-11 09:12:06.0 2006-04-11 09:12:09.0 2006-04-11 09:12:09.0 2006-04-11 09:12:09.0 3 3 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 61 929467 45euP7C062 Unit ES_07, Section ES_07-4 LIT62A 2 c*j-n*q = -w*u-s*u 2006-05-04 09:28:26.0 2006-05-04 09:28:31.0 2006-05-04 09:28:31.0 2006-05-04 09:28:31.0 5 5 1 0 0 1 [SkillRule: Extract to consolidate vars; {factor; factorb; factorc; factord}] 26 929618 45euP7C062 Unit CTA1_12, Section CTA1_12-2 SYS03 1 yMin 2006-05-09 09:26:54.0 2006-05-09 09:26:59.0 2006-05-09 09:26:59.0 2006-05-09 09:26:59.0 5 5 1 0 0 1 Changing axis bounds 6 929770 46K8Eq75fJ Unit CTA1_04, Section CTA1_04-3 BH1T41C 2 ValidEquations 2006-04-11 08:57:20.0 2006-04-11 08:34:20.0 2006-04-11 08:57:20.0 1 0 0 2 929980 46K8Eq75fJ Unit ES_02, Section ES_02-5 EG40 5 -4x/(-4x) = 4/(-4x) 2006-05-18 08:40:10.0 2006-05-18 08:40:23.0 2006-05-18 08:40:23.0 2006-05-18 08:40:33.0 23 23 1 0 0 2 930058 4EUt9uDfjG Unit ES_01, Section ES_01-9 EG26 1 9*-6 = x/-6*-6 2006-03-22 10:35:07.0 2006-03-22 10:35:12.0 2006-03-22 10:35:12.0 2006-03-22 10:35:38.0 31 31 1 1 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 3 930097 4EUt9uDfjG Unit CTA1_04, Section CTA1_04-2 BH1T36 1 R2C2 2006-03-30 10:50:21.0 2006-03-30 10:50:23.0 2006-03-30 10:50:23.0 2006-03-30 10:50:23.0 2 2 1 0 0 1 Identifying units 4 930303 6Kbx2aEeUm Unit CTA1_12, Section CTA1_12-6 SYSFB03 1 40H = 760 2006-02-28 08:45:26.0 2006-02-28 08:46:03.0 2006-02-28 08:46:03.0 2006-02-28 08:46:03.0 37 37 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 14~~19 930534 6Kbx2aEeUm Unit ES_05, Section ES_05-12 LIT89 1 a*x-y = 8 2006-03-23 09:07:39.0 2006-03-23 09:07:47.0 2006-03-23 09:07:47.0 2006-03-23 09:07:47.0 8 8 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 48 930974 6Kbx2aEeUm Unit CTA1_14, Section CTA1_14-4 2PTFB13 1 3H = 45 2006-05-04 09:02:57.0 2006-05-04 09:03:02.0 2006-05-04 09:03:02.0 2006-05-04 09:03:02.0 5 5 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 50~~111 931177 6Kbx2aEeUm Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 XGE0 1 XCoordinate1_1 2006-05-18 08:48:28.0 2006-05-18 08:48:40.0 2006-05-18 08:48:40.0 2006-05-18 08:48:40.0 12 12 1 0 0 1 Positive Constants, GLF 15 931340 6Kbx2aEeUm Unit CTA1_15, Section CTA1_15-2 SYSFB09 1 0.13M+14.95 = 50 2006-05-22 08:59:26.0 2006-05-22 08:59:34.0 2006-05-22 08:59:34.0 2006-05-22 08:59:34.0 8 8 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 115 931567 CEA35ELhs4 Unit ES_01, Section ES_01-11 EG27 2 FinalAnswer 2006-03-28 08:50:58.0 2006-03-28 08:51:02.0 2006-03-28 08:51:02.0 2006-03-28 08:51:15.0 12 12 1 0 0 2 simplify-fractions-sp 10 931800 CEA35ELhs4 Unit CTA1_04, Section CTA1_04-3 PERCENT14C 1 R2C2 2006-05-09 08:52:55.0 2006-05-09 08:52:59.0 2006-05-09 08:52:59.0 2006-05-09 08:52:59.0 4 4 1 0 0 1 Identifying units 25 931947 CEA35ELhs4 Unit ES_02, Section ES_02-3 EG33B 1 y = -40+(-760) 2006-05-18 09:21:58.0 2006-05-18 09:22:00.0 2006-05-18 09:22:00.0 2006-05-18 09:22:00.0 2 2 1 0 0 1 [SkillRule: Select Combine Terms; CLT]~~[SkillRule: Consolidate vars, no coeff; CLT] 13~~31 932175 GBwY1iQUSw Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 R6C1 2006-02-28 09:00:41.0 2006-02-28 09:00:54.0 2006-02-28 09:00:54.0 2006-02-28 09:00:54.0 13 13 1 0 0 1 Entering a given 47 932465 GBwY1iQUSw Unit ES_07, Section ES_07-5 LIT82 1 v*k+v = w 2006-03-28 08:53:10.0 2006-03-28 08:53:32.0 2006-03-28 08:53:46.0 2006-03-28 08:53:46.0 36 36 0 1 0 1 [SkillRule: Extract to consolidate vars; {factor; factorb; factorc; factord}] 29 932714 GBwY1iQUSw Unit CTA1_12, Section CTA1_12-4 SYSFB22 1 R2C3 2006-05-01 08:47:47.0 2006-05-01 08:47:51.0 2006-05-01 08:47:51.0 2006-05-01 08:47:51.0 4 4 1 0 0 1 Identifying units 44 932980 GBwY1iQUSw Unit ES_05, Section ES_05-7 EG61 5 0 = 6.37x+8.56 2006-05-09 09:04:07.0 2006-05-09 09:04:16.0 2006-05-09 09:04:16.0 2006-05-09 09:04:16.0 9 9 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 99 933125 MrZ99Q697y Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 R2C2 2006-02-23 09:12:20.0 2006-02-23 09:12:25.0 2006-02-23 09:12:25.0 2006-02-23 09:12:25.0 5 5 1 0 0 1 Identifying units 10 933301 MrZ99Q697y Unit ES_05, Section ES_05-8 EG61 1 3.03x = 9.83 2006-02-28 08:48:47.0 2006-02-28 08:48:51.0 2006-02-28 08:48:51.0 2006-02-28 08:48:51.0 4 4 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 23~~43 933721 MrZ99Q697y Unit CTA1_14, Section CTA1_14-4 LDEMO_PTPT 1 R2C2 2006-03-23 08:49:37.0 2006-03-23 08:49:40.0 2006-03-23 08:49:40.0 2006-03-23 08:49:40.0 3 3 1 0 0 1 Identifying units 41 934129 MrZ99Q697y Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLT2X-5 1 XIntercept1 2006-03-28 08:41:21.0 2006-03-28 08:41:24.0 2006-03-28 08:41:45.0 2006-03-28 08:41:45.0 21 21 0 2 0 1 Negative Constant, SIF~~Entering x-intercept, SIF 14~~4 934363 MrZ99Q697y Unit CTA1_15, Section CTA1_15-3 SYSFB10 1 xMax 2006-04-11 08:40:51.0 2006-04-11 08:48:35.0 2006-04-11 08:48:35.0 2006-04-11 08:48:35.0 464 464 1 0 0 1 Changing axis bounds 24 934727 MrZ99Q697y Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE2TRE 1 R3C3 2006-05-04 08:37:28.0 2006-05-04 08:37:33.0 2006-05-04 08:37:33.0 2006-05-04 08:37:33.0 5 5 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, quadratic 164~~114~~6 934834 MrZ99Q697y Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR47 1 FinalAnswer 2006-05-04 09:06:46.0 2006-05-04 09:07:05.0 2006-05-04 09:07:05.0 2006-05-04 09:07:05.0 19 19 1 0 0 1 factor-quadratic-sp 11 935035 MrZ99Q697y Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR09 1 (-17+sqrt(289-64))/2 = x 2006-05-09 08:42:10.0 2006-05-09 08:42:11.0 2006-05-09 08:42:11.0 2006-05-09 08:42:11.0 1 1 1 0 0 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 47 935214 MrZ99Q697y Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD2TRE 1 R5C1 2006-05-09 09:33:01.0 2006-05-09 09:33:04.0 2006-05-09 09:33:04.0 2006-05-09 09:33:04.0 3 3 1 0 0 1 Entering a given~~Entering a given linear value 213~~28 935271 N1K15JE4tN Unit CTA1_04, Section CTA1_04-4 BH1T47B 1 -9T-1375 = -2068 2006-02-28 08:40:11.0 2006-02-28 08:40:25.0 2006-02-28 08:40:25.0 2006-02-28 08:40:25.0 14 14 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 2~~2 935335 N1K15JE4tN Unit ES_02, Section ES_02-3 EG33B 1 x = -33*-38+30 2006-05-01 08:30:51.0 2006-05-01 08:35:25.0 2006-05-01 08:35:25.0 2006-05-01 08:35:25.0 274 274 1 0 0 1 [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] 11 935492 NnA4UfdJ5k Unit CTA1_04, Section CTA1_04-2 PERCENT03A 1 0.15A = 5.25 2006-03-09 09:25:23.0 2006-03-09 09:25:36.0 2006-03-09 09:25:36.0 2006-03-09 09:25:36.0 13 13 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 15~~17 935817 NnA4UfdJ5k Unit ES_02, Section ES_02-6 EG40 2 5x+3-3-3 = 8-3 2006-05-04 09:34:14.0 2006-05-04 09:34:23.0 2006-05-04 09:34:23.0 2006-05-04 09:34:37.0 23 23 1 0 0 2 936070 p5CPTG2423 Unit CTA1_02, Section CTA1_02-3 L3NOV12A 2 xScale 2006-04-11 09:32:46.0 2006-04-11 09:32:59.0 2006-04-11 09:32:59.0 2006-04-11 09:33:21.0 35 35 1 0 0 5 Changing axis intervals 17 936228 p5CPTG2423 Unit ES_01, Section ES_01-2 EG2 3 1+60 2006-05-04 09:27:27.0 2006-05-04 09:27:33.0 2006-05-04 09:27:35.0 2006-05-04 09:27:35.0 8 8 0 1 0 1 [SkillRule: Consolidate vars with coeff; CLT] 11 936432 PhzyUqi1yE Unit CTA1_04, Section CTA1_04-4 BH1T47 1 R2C2 2006-04-25 08:47:57.0 2006-04-25 08:48:03.0 2006-04-25 08:48:03.0 2006-04-25 08:48:03.0 6 6 1 0 0 1 Identifying units 16 936619 PhzyUqi1yE Unit ES_02, Section ES_02-6 EG40 2 0+3x = 0 2006-05-18 08:47:18.0 2006-05-18 08:47:22.0 2006-05-18 08:47:22.0 2006-05-18 08:47:22.0 4 4 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 28 936801 s3u68VfdSa Unit CTA1_06, Section CTA1_06-4 BH1T51 1 R6C1 2006-02-23 09:29:19.0 2006-02-23 09:29:28.0 2006-02-23 09:29:30.0 2006-02-23 09:29:30.0 11 11 0 1 0 1 Entering a given~~Convert unit, standard 17~~1 937139 s3u68VfdSa Unit ES_03, Section ES_03-6 EG53A 1 36.4/-10.3 = -10.3y/-10.3 2006-03-23 09:42:11.0 2006-03-23 09:42:16.0 2006-03-23 09:42:16.0 2006-03-23 09:42:50.0 39 39 1 2 2 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 16 937453 s3u68VfdSa Unit CTA1_08, Section CTA1_08-2 REAL31 2 YUnit 2006-05-01 08:32:30.0 2006-05-01 08:32:32.0 2006-05-01 08:32:32.0 2006-05-01 08:32:32.0 2 2 1 0 0 1 937728 s3u68VfdSa Unit ES_04, Section ES_04-6 EG55 4 6.8 = 1.2x+2.16 2006-05-18 08:41:39.0 2006-05-18 08:41:45.0 2006-05-18 08:42:03.0 2006-05-18 08:42:03.0 24 24 0 1 3 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 77 937897 Vc0J7iVot4 Unit CTA1_08, Section CTA1_08-3 REAL10 1 R1C2 2006-02-23 09:04:24.0 2006-02-23 09:04:38.0 2006-02-23 09:04:38.0 2006-02-23 09:04:38.0 14 14 1 0 0 1 938151 Vc0J7iVot4 Unit ES_04, Section ES_04-13 LIT29 2 2/s+u = y 2006-03-23 08:32:53.0 2006-03-23 08:33:33.0 2006-03-23 08:33:33.0 2006-03-23 08:33:33.0 40 40 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 45 938489 Vc0J7iVot4 Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 R3C1 2006-04-25 08:44:54.0 2006-04-25 08:49:32.0 2006-04-25 08:49:32.0 2006-04-25 08:49:32.0 278 278 1 0 0 1 Define Variable 22 938664 Vc0J7iVot4 Unit ES_07, Section ES_07-4 LIT70A 1 FinalAnswer 2006-05-09 08:54:45.0 2006-05-09 08:54:57.0 2006-05-09 08:55:34.0 2006-05-09 08:55:34.0 49 49 0 3 1 1 factor-sp 4 938974 x47TgqKQDL Unit CTA1_06, Section CTA1_06-4 L6FB07 1 YUnit 2006-03-09 09:07:32.0 2006-03-09 09:07:43.0 2006-03-09 09:07:43.0 2006-03-09 09:07:43.0 11 11 1 0 0 1 939762 x47TgqKQDL Unit ES_03, Section ES_03-7 LIT6 1 -r/-1 = f/-1 2006-05-18 09:05:13.0 2006-05-18 09:05:20.0 2006-05-18 09:05:20.0 2006-05-18 09:05:20.0 7 7 1 0 0 1 939867 xH487WMLoS Unit ES_04, Section ES_04-16 LIT59A 1 s*y+s*z = w-t-c 2006-02-23 08:31:14.0 2006-02-23 08:31:28.0 2006-02-23 08:31:50.0 2006-02-23 08:31:50.0 36 36 0 1 3 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 3 940090 xH487WMLoS Unit CTA1_10, Section CTA1_10-4 DIST02_SP 1 R7C1 2006-02-28 08:52:14.0 2006-02-28 08:52:17.0 2006-02-28 08:52:17.0 2006-02-28 08:52:17.0 3 3 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 20~~17~~23 940368 xH487WMLoS Unit ES_07, Section ES_07-6 LIT79A 1 4y+5r = 2v-9s 2006-03-23 09:13:06.0 2006-03-23 09:13:15.0 2006-03-23 09:13:15.0 2006-03-23 09:13:15.0 9 9 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 59 940578 xH487WMLoS Unit CTA1_12, Section CTA1_12-4 SYSFB04 1 -185+35H = 0 2006-05-09 08:55:46.0 2006-05-09 08:55:51.0 2006-05-09 08:55:51.0 2006-05-09 08:55:51.0 5 5 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 72~~11 940869 xH487WMLoS Unit ES_05, Section ES_05-8 EG61 3 2.09y+2.76+3.77 = -3.77+3.26y+3.77 2006-05-18 08:53:38.0 2006-05-18 08:54:06.0 2006-05-18 08:54:06.0 2006-05-18 08:54:32.0 54 54 1 0 0 2 940925 0493L6bGa9 Unit ES_04, Section ES_04-16 LIT55 1 (y-3)/m = m*(x-7)/m 2006-02-21 10:07:24.0 2006-02-21 10:07:33.0 2006-02-21 10:07:33.0 2006-02-21 10:07:45.0 21 21 1 0 0 2 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] 5 941109 0493L6bGa9 Unit ES_07, Section ES_07-6 LIT77A 1 2z+c = k 2006-03-02 16:22:07.0 2006-03-02 16:22:14.0 2006-03-02 16:22:14.0 2006-03-02 16:22:14.0 7 7 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 32 941362 0493L6bGa9 Unit ES_05, Section ES_05-9 EG62 2 138.66 = 141.65y 2006-04-20 10:03:35.0 2006-04-20 10:03:50.0 2006-04-20 10:04:05.0 2006-04-20 10:04:05.0 30 30 0 1 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 24~~93 941480 0ccXSz8Bk8 Unit ES_02, Section ES_02-10 EG44 2 pm-r-den-node 2006-02-23 10:32:39.0 2006-02-23 10:32:47.0 2006-02-23 10:32:47.0 2006-02-23 10:32:47.0 8 8 1 0 0 1 941714 0ccXSz8Bk8 Unit ES_03, Section ES_03-2 EG47 1 FinalAnswer 2006-04-24 08:47:56.0 2006-04-24 08:48:01.0 2006-04-24 08:48:01.0 2006-04-24 08:48:01.0 5 5 1 0 0 1 combine-like-terms-sp 12 941938 0ccXSz8Bk8 Unit ES_04, Section ES_04-7 EG56A 4 x+9012.56 = 0.31756788 2006-04-28 09:41:11.0 2006-04-28 09:41:23.0 2006-04-28 09:41:23.0 2006-04-28 09:41:23.0 12 12 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 66~~9 942197 0nF0z1401O Unit ES_04, Section ES_04-16 LIT55 1 (y-3)/m = m*(x-7)/m 2006-04-20 10:40:47.0 2006-04-20 10:40:56.0 2006-04-20 10:40:56.0 2006-04-20 10:41:15.0 28 28 1 0 0 2 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] 7 942282 0nF0z1401O Unit ES_07, Section ES_07-4 LIT62A 1 di-expr 2006-04-27 10:21:45.0 2006-04-27 10:21:50.0 2006-04-27 10:21:50.0 2006-04-27 10:21:50.0 5 5 1 0 0 1 942335 46vx97eEK0 Unit ES_05, Section ES_05-11 LIT41 1 a*x = c-b*y 2006-04-20 09:56:04.0 2006-04-20 09:56:12.0 2006-04-20 09:56:27.0 2006-04-20 09:56:27.0 23 23 0 0 2 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 8 942358 46vx97eEK0 Unit CTA1_14, Section CTA1_14-1 LDEMO_PTY 1 R1C2 2006-04-20 10:05:08.0 2006-04-20 10:06:25.0 2006-04-20 10:06:25.0 77 77 0 1 0 0 942444 46vx97eEK0 Unit CTA1_01, Section CTA1_01-3 BH1T28B 2 R4C1 2006-05-16 09:59:20.0 2006-05-16 09:59:24.0 2006-05-16 09:59:24.0 2006-05-16 09:59:24.0 4 4 1 0 0 1 Entering a given 21 942580 6ghrwY35fW Unit ES_03, Section ES_03-8 LIT17A 1 row3-N-constant factors 2006-02-21 10:24:04.0 2006-02-21 10:24:11.0 2006-02-21 10:24:11.0 2006-02-21 10:24:11.0 7 7 1 0 0 1 942746 6ghrwY35fW Unit ES_04, Section ES_04-4 EG54 11 -4 = 9(x+6) 2006-04-20 09:58:20.0 2006-04-20 09:58:22.0 0 0 4 0 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 16 943018 740FTSQ19O Unit ES_05, Section ES_05-12 LIT42 1 a*x+b*y = c 2006-03-14 09:55:25.0 2006-03-14 09:55:36.0 2006-03-14 09:55:43.0 2006-03-14 09:55:43.0 18 18 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 36 943172 740FTSQ19O Unit CTA1_01, Section CTA1_01-4 REAL32C 1 R5C2 2006-03-17 09:49:39.0 2006-03-17 09:49:43.0 2006-03-17 09:49:43.0 2006-03-17 09:49:43.0 4 4 1 0 0 1 Using simple numbers~~Using small numbers~~Find Y, positive slope 48~~21~~7 943341 740FTSQ19O Unit CTA1_02, Section CTA1_02-3 BH1T39 1 R3C1 2006-04-04 10:10:19.0 2006-04-04 10:10:23.0 2006-04-04 10:10:23.0 2006-04-04 10:10:23.0 4 4 1 0 0 1 Define Variable 23 943653 740FTSQ19O Unit CTA1_04, Section CTA1_04-4 BH1T47 1 R3C1 2006-04-20 10:01:05.0 2006-04-20 10:02:03.0 2006-04-20 10:02:03.0 2006-04-20 10:02:03.0 58 58 1 0 0 1 Define Variable 44 943734 740FTSQ19O Unit CTA1_13, Section CTA1_13-1 PROP02 1 R1C2 2006-04-24 09:56:32.0 2006-04-24 09:56:48.0 2006-04-24 09:56:48.0 2006-04-24 09:56:48.0 16 16 1 0 0 1 943905 740FTSQ19O Unit CTA1_06, Section CTA1_06-2 L6FB08 1 R2C1 2006-04-25 10:37:28.0 2006-04-25 10:37:44.0 2006-04-25 10:37:44.0 2006-04-25 10:37:44.0 16 16 1 0 0 1 Identifying units 82 944709 b4WRCgbjkN Unit ES_04, Section ES_04-14 LIT28A 1 row3-D-j 2006-03-29 10:50:02.0 2006-03-29 10:50:03.0 2006-03-29 10:50:03.0 2006-03-29 10:50:03.0 1 1 1 0 0 1 946149 b4WRCgbjkN Unit ES_07, Section ES_07-6 LIT80A 1 c*z+z*s = n*t-f*b+2+r*g 2006-05-16 10:33:13.0 2006-05-16 10:33:16.0 2006-05-16 10:33:25.0 2006-05-16 10:33:25.0 12 12 0 0 2 1 [SkillRule: Extract to consolidate vars; {factor; factorb; factorc; factord}] 61 946416 GBp6LkJ9VA Unit CTA1_01, Section CTA1_01-3 L5FB03C 1 R4C1 2006-03-17 10:00:17.0 2006-03-17 10:00:22.0 2006-03-17 10:00:22.0 2006-03-17 10:00:22.0 5 5 1 0 0 1 Entering a given~~Convert unit, standard 28~~1 946561 GBp6LkJ9VA Unit CTA1_02, Section CTA1_02-3 BH1T39B 1 R4C1 2006-04-04 10:11:28.0 2006-04-04 10:11:34.0 2006-04-04 10:11:34.0 2006-04-04 10:11:34.0 6 6 1 0 0 1 Entering a given 60 946800 l1L9ZwV1KO Unit ES_04, Section ES_04-16 LIT60A 2 q*c*(v+r)/(q*c) = d*x/(q*c) 2006-03-14 10:43:27.0 2006-03-14 10:43:39.0 2006-03-14 10:43:39.0 12 12 0 1 0 0 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] 3 947360 l1L9ZwV1KO Unit ES_07, Section ES_07-6 LIT74A 1 (r+s)*x = q/x*x 2006-05-18 10:04:15.0 2006-05-18 10:04:43.0 2006-05-18 10:04:50.0 2006-05-18 10:05:07.0 52 52 0 1 0 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 48 947478 QQTAp3k3UP Unit ES_07, Section ES_07-4 LIT70A 1 6u-x*s-r*u = r*w 2006-02-21 10:25:20.0 2006-02-21 10:25:30.0 2006-02-21 10:25:43.0 2006-02-21 10:25:43.0 23 23 0 1 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 10 947695 QQTAp3k3UP Unit ES_05, Section ES_05-8 EG61 2 1.4/2.87 = 2.87y/2.87 2006-02-23 10:52:24.0 2006-02-23 10:52:28.0 2006-02-23 10:52:28.0 2006-02-23 10:52:44.0 20 20 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 31 948050 QQTAp3k3UP Unit CTA1_01, Section CTA1_01-4 JAN04B 1 R3C1 2006-03-17 09:52:24.0 2006-03-17 09:52:30.0 2006-03-17 09:52:30.0 2006-03-17 09:52:30.0 6 6 1 0 0 1 Define Variable 21 948357 QQTAp3k3UP Unit CTA1_02, Section CTA1_02-4 L2FB14C 1 YLabel 2006-04-03 16:21:37.0 2006-04-03 16:21:48.0 2006-04-03 16:21:48.0 2006-04-03 16:21:48.0 11 11 1 0 0 1 Labelling the axes 28 948534 QQTAp3k3UP Unit CTA1_04, Section CTA1_04-4 BH1T47B 2 R3C2 2006-04-06 09:52:28.0 2006-04-06 09:53:12.0 2006-04-06 09:56:05.0 2006-04-06 09:56:05.0 75 75 0 0 4 1 Using simple numbers~~Using small numbers~~Write expression, negative slope 159~~118~~11 948604 QQTAp3k3UP Unit CTA1_13, Section CTA1_13-1 PROP09 1 R7C2 2006-04-06 10:29:18.0 2006-04-06 10:29:23.0 2006-04-06 10:29:23.0 2006-04-06 10:29:23.0 5 5 1 0 0 1 Entering a given 195 949027 QQTAp3k3UP Unit CTA1_06, Section CTA1_06-3 BH1T42 1 R2C1 2006-04-25 10:36:26.0 2006-04-25 10:36:32.0 2006-04-25 10:36:32.0 2006-04-25 10:36:32.0 6 6 1 0 0 1 Identifying units 111 949146 qvGwtJZv09 Unit ES_04, Section ES_04-15 LIT58 1 b+n = (r+f-7)/y 2006-02-21 10:20:56.0 2006-02-21 10:21:05.0 2006-02-21 10:21:05.0 2006-02-21 10:21:05.0 9 9 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 8 949376 qvGwtJZv09 Unit ES_07, Section ES_07-4 LIT70A 2 u*6+u*-r-u*-r = x*s+r*w-u*-r 2006-04-19 10:04:53.0 2006-04-19 10:05:05.0 2006-04-19 10:05:05.0 2006-04-19 10:06:04.0 71 71 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 28 949636 qvGwtJZv09 Unit ES_05, Section ES_05-8 EG61 4 constant terms1R1 2006-05-15 09:53:11.0 2006-05-15 09:53:14.0 2006-05-15 09:53:14.0 2006-05-15 09:53:14.0 3 3 1 0 0 1 949998 R398qG76GC Unit ES_05, Section ES_05-10 EG62A 2 9179.75 = 13.76x-2909.07+2909.07 2006-03-06 10:09:54.0 2006-03-06 10:10:03.0 2006-03-06 10:10:03.0 2006-03-06 10:10:03.0 9 9 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 67 950393 R398qG76GC Unit CTA1_01, Section CTA1_01-4 REAL32B 1 R2C2 2006-04-04 10:46:35.0 2006-04-04 10:46:42.0 2006-04-04 10:46:42.0 2006-04-04 10:46:42.0 7 7 1 0 0 1 Identifying units 28 950708 R398qG76GC Unit CTA1_02, Section CTA1_02-4 L2FB14C 1 R1C2 2006-04-25 10:11:33.0 2006-04-25 10:11:54.0 2006-04-25 10:11:54.0 2006-04-25 10:11:54.0 21 21 1 0 0 1 950754 R398qG76GC Unit CTA1_04, Section CTA1_04-1 LDEMO_WSLVR 1 R3C1 2006-04-25 10:53:00.0 2006-04-25 10:53:04.0 2006-04-25 10:53:51.0 2006-04-25 10:53:51.0 6 6 0 1 0 1 Define Variable 37 950949 RajLsf9Q1z Unit ES_05, Section ES_05-10 EG62 2 74.34-49.25y+64.68 = 54.8y 2006-03-06 09:48:26.0 2006-03-06 09:48:34.0 2006-03-06 09:48:34.0 2006-03-06 09:48:34.0 8 8 1 0 0 1 951350 RajLsf9Q1z Unit CTA1_01, Section CTA1_01-4 JAN13B 1 R5C1 2006-04-04 09:59:41.0 2006-04-04 10:00:01.0 2006-04-04 10:00:01.0 2006-04-04 10:00:01.0 20 20 1 0 0 1 Entering a given~~Convert unit, standard 60~~8 951535 RajLsf9Q1z Unit CTA1_02, Section CTA1_02-3 L3NOV12A 2 yMax 2006-04-25 09:50:51.0 2006-04-25 09:50:58.0 2006-04-25 09:50:58.0 2006-04-25 09:50:58.0 7 7 1 0 0 2 Changing axis bounds 20 951657 RajLsf9Q1z Unit CTA1_04, Section CTA1_04-2 REAL13A 1 R7C1 2006-04-25 10:46:45.0 2006-04-25 10:47:33.0 2006-04-25 10:50:41.0 2006-04-25 10:50:41.0 140 140 0 2 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 154~~82~~8 951846 s9O034dIc4 Unit ES_04, Section ES_04-15 LIT56 1 j*(t-w) = b 2006-02-21 10:45:59.0 2006-02-21 10:46:04.0 2006-02-21 10:46:24.0 2006-02-21 10:46:24.0 25 25 0 0 3 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] 11~~2 952524 s9O034dIc4 Unit ES_07, Section ES_07-6 LIT71 1 row3-D-h 2006-04-04 10:09:20.0 2006-04-04 10:09:21.0 2006-04-04 10:09:21.0 2006-04-04 10:13:24.0 5 5 1 1 0 3 952563 s9O034dIc4 Unit CTA1_12, Section CTA1_12-1 LDEMO_SYS 1 V*e*r*s*i*o*n*1 2006-04-04 10:21:13.0 2006-04-04 10:21:19.0 2006-04-04 10:21:25.0 2006-04-04 10:21:25.0 12 12 0 0 2 1 952975 s9O034dIc4 Unit ES_05, Section ES_05-9 EG62A 5 1984.7 = -1431.61x+7581.14 2006-04-27 10:02:02.0 2006-04-27 10:02:13.0 2006-04-27 10:02:13.0 2006-04-27 10:02:13.0 11 11 1 0 0 1 953098 s9O034dIc4 Unit CTA1_14, Section CTA1_14-1 LDEMO_PTY 1 R3C1 2006-04-27 10:52:01.0 2006-04-27 10:52:02.0 2006-04-27 10:53:12.0 32 32 0 2 0 0 Define Variable 1 953233 s9O034dIc4 Unit CTA1_01, Section CTA1_01-3 BH1T28C 1 R4C1 2006-05-16 10:31:17.0 2006-05-16 10:31:48.0 2006-05-16 10:31:48.0 2006-05-16 10:31:48.0 31 31 1 0 0 1 Entering a given 36 953584 txnqGG764s Unit ES_04, Section ES_04-14 LIT29A 1 2/(z-v) = (z-v)*t/(z-v) 2006-03-14 10:05:58.0 2006-03-14 10:06:08.0 2006-03-14 10:06:08.0 2006-03-14 10:06:13.0 15 15 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 25 953793 txnqGG764s Unit ES_07, Section ES_07-4 LIT63A 1 z*nR2 2006-04-04 10:47:23.0 2006-04-04 10:47:26.0 2006-04-04 10:47:26.0 2006-04-04 10:47:26.0 3 3 1 0 0 1 954213 txnqGG764s Unit ES_05, Section ES_05-10 EG62 1 y1R1 2006-04-25 10:42:49.0 2006-04-25 10:42:55.0 2006-04-25 10:42:55.0 2006-04-25 10:42:55.0 6 6 1 0 0 1 954416 txnqGG764s Unit CTA1_01, Section CTA1_01-3 BH1T33C 1 R3C1 2006-05-15 10:19:49.0 2006-05-15 10:19:53.0 2006-05-15 10:19:53.0 2006-05-15 10:19:53.0 4 4 1 0 0 1 Define Variable 14 954709 txnqGG764s Unit CTA1_02, Section CTA1_02-3 L3NOV10C 1 R6C2 2006-05-24 09:30:32.0 2006-05-24 09:31:08.0 2006-05-24 09:31:08.0 2006-05-24 09:31:08.0 36 36 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, positive slope 122~~50~~36 955054 xp1bjD93G3 Unit ES_02, Section ES_02-8 EG41 28 y*3/3 = -48 2006-04-20 09:51:22.0 2006-04-20 09:51:32.0 2006-04-20 09:51:32.0 2006-04-20 09:51:32.0 10 10 1 0 0 1 955201 081u59Iq1D Unit CTA1_06, Section CTA1_06-4 BH1T51 2 -200X = -9500 2006-02-24 10:56:23.0 2006-02-24 10:56:30.0 2006-02-24 10:56:30.0 2006-02-24 10:56:30.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 8~~4 955403 081u59Iq1D Unit ES_03, Section ES_03-6 EG52 1 FinalAnswer 2006-03-06 23:59:41.0 2006-03-07 00:00:03.0 2006-03-07 00:00:50.0 2006-03-07 00:00:50.0 32 32 0 1 0 1 combine-like-terms-sp 7 955663 081u59Iq1D Unit CTA1_08, Section CTA1_08-3 L5FB02 1 R2C2 2006-03-17 10:43:53.0 2006-03-17 10:43:56.0 2006-03-17 10:43:56.0 2006-03-17 10:43:56.0 3 3 1 0 0 1 Identifying units 23 956042 081u59Iq1D Unit ES_04, Section ES_04-16 LIT58A 1 z*(c+q)/z = (s+g-7)/z 2006-05-15 10:46:57.0 2006-05-15 10:47:02.0 2006-05-15 10:47:02.0 2006-05-15 10:47:32.0 35 35 1 1 0 2 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] 16 956089 081u59Iq1D Unit CTA1_10, Section CTA1_10-2 DIST10_SP 2 X-15 = 125/3 2006-05-19 09:51:16.0 2006-05-19 09:51:22.0 2006-05-19 09:51:22.0 2006-05-19 09:51:22.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 111 956175 1DlUV9t495 Unit CTA1_13, Section CTA1_13-1 PROP13 1 R5C1 2006-03-15 10:39:03.0 2006-03-15 10:39:17.0 2006-03-15 10:39:17.0 2006-03-15 10:39:17.0 14 14 1 0 0 1 Entering a given~~Convert unit, standard 29~~2 956730 1DlUV9t495 Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 xMax 2006-05-19 10:10:55.0 2006-05-19 10:12:48.0 2006-05-19 10:12:48.0 2006-05-19 10:12:48.0 113 113 1 0 0 1 Changing axis bounds 73 956895 93YVE85s1x Unit CTA1_08, Section CTA1_08-3 JAN12 1 Intercept Field 1 2006-02-24 09:57:35.0 2006-02-24 09:57:47.0 2006-02-24 09:57:47.0 2006-02-24 09:57:47.0 12 12 1 0 0 1 Entering the y-intercept 12 957119 93YVE85s1x Unit ES_04, Section ES_04-13 LIT20 1 r/c = d-b 2006-02-24 10:53:25.0 2006-02-24 10:53:41.0 2006-02-24 10:53:47.0 2006-02-24 10:53:47.0 22 22 0 1 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 2 957494 93YVE85s1x Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 R7C1 2006-03-17 10:36:57.0 2006-03-17 10:37:01.0 2006-03-17 10:37:01.0 2006-03-17 10:37:01.0 4 4 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 34~~24~~27 957669 93YVE85s1x Unit ES_07, Section ES_07-4 LIT63A 1 di-expr 2006-04-21 09:59:48.0 2006-04-21 09:59:51.0 2006-04-21 09:59:51.0 2006-04-21 09:59:51.0 3 3 1 0 0 1 957865 93YVE85s1x Unit CTA1_12, Section CTA1_12-4 SYSFB04 1 R3C1 2006-04-24 10:54:16.0 2006-04-24 10:54:18.0 2006-04-24 10:54:18.0 2006-04-24 10:54:18.0 2 2 1 0 0 1 Define Variable 40 958078 9iQ6dU8Ooj Unit ES_03, Section ES_03-7 LIT6 1 r = f/-1 2006-02-22 10:54:27.0 2006-02-22 10:54:31.0 2006-02-22 10:54:31.0 2006-02-22 10:54:31.0 4 4 1 0 0 1 958361 9iQ6dU8Ooj Unit CTA1_08, Section CTA1_08-3 FEB08 1 R3C2 2006-03-13 10:47:20.0 2006-03-13 10:47:37.0 2006-03-13 10:48:10.0 2006-03-13 10:48:10.0 50 50 0 2 0 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 10~~14~~2 958734 9iQ6dU8Ooj Unit ES_04, Section ES_04-14 LIT27A 1 r1R1 2006-04-26 10:10:57.0 2006-04-26 10:11:02.0 2006-04-26 10:11:02.0 2006-04-26 10:11:02.0 5 5 1 0 0 1 958977 9iQ6dU8Ooj Unit CTA1_10, Section CTA1_10-2 DIST03_SP 1 R1C2 2006-04-28 10:50:35.0 2006-04-28 10:50:47.0 2006-04-28 10:51:03.0 2006-04-28 10:51:03.0 28 28 0 0 2 1 959089 auW9kr3fh6 Unit CTA1_06, Section CTA1_06-4 BH1T51 1 R3C1 2006-02-24 10:21:11.0 2006-02-24 10:21:16.0 2006-02-24 10:21:16.0 2006-02-24 10:21:16.0 5 5 1 0 0 1 Define Variable 5 959358 auW9kr3fh6 Unit ES_03, Section ES_03-6 EG52 2 -3y+y = -13.4 2006-03-13 10:52:59.0 2006-03-13 10:53:06.0 2006-03-13 10:53:06.0 2006-03-13 10:53:06.0 7 7 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 27 959728 auW9kr3fh6 Unit CTA1_08, Section CTA1_08-3 BH1T07 1 R2C1 2006-04-21 10:11:22.0 2006-04-21 10:11:42.0 2006-04-21 10:11:55.0 2006-04-21 10:11:55.0 33 33 0 2 0 1 Identifying units 37 959991 auW9kr3fh6 Unit ES_04, Section ES_04-12 EG58 1 xR2 2006-05-15 10:44:53.0 2006-05-15 10:45:02.0 2006-05-15 10:45:02.0 2006-05-15 10:45:02.0 9 9 1 0 0 1 960254 BpYaFX7hkQ Unit CTA1_04, Section CTA1_04-4 BH1T47A 1 R3C1 2006-02-22 10:28:20.0 2006-02-22 10:28:23.0 2006-02-22 10:28:23.0 2006-02-22 10:28:23.0 3 3 1 0 0 1 Define Variable 3 960451 BpYaFX7hkQ Unit ES_02, Section ES_02-10 EG44 5 y = -0.75 2006-02-24 10:29:20.0 2006-02-24 10:29:23.0 2006-02-24 10:29:23.0 3 3 0 1 0 0 [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] 4 960542 BpYaFX7hkQ Unit CTA1_13, Section CTA1_13-1 PROP01 1 R5C1 2006-03-31 18:03:12.0 2006-03-31 18:03:18.0 2006-03-31 18:03:18.0 2006-03-31 18:03:18.0 6 6 1 0 0 1 Entering a given 45 960859 BpYaFX7hkQ Unit CTA1_06, Section CTA1_06-2 FEB01 1 yMax 2006-04-26 10:42:24.0 2006-04-26 10:42:28.0 2006-04-26 10:42:28.0 2006-04-26 10:42:28.0 4 4 1 0 0 1 Changing axis bounds 42 961524 Ds3B2dRQo8 Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 R1C1 2006-03-31 20:54:38.0 2006-03-31 20:55:26.0 2006-03-31 20:56:28.0 2006-03-31 20:56:28.0 110 110 0 1 0 1 961723 Ds3B2dRQo8 Unit ES_03, Section ES_03-5 EG52 1 10.2y = -4.8-8.9 2006-04-07 09:08:51.0 2006-04-07 09:08:55.0 2006-04-07 09:08:55.0 2006-04-07 09:08:55.0 4 4 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 22 961953 Ds3B2dRQo8 Unit CTA1_08, Section CTA1_08-2 BH1T04 1 XUnit 2006-04-20 10:28:24.0 2006-04-20 10:28:30.0 2006-04-20 10:28:30.0 2006-04-20 10:28:30.0 6 6 1 0 0 1 962585 Ds3B2dRQo8 Unit ES_04, Section ES_04-13 LIT36 1 -n = 6z 2006-04-26 10:08:06.0 2006-04-26 10:08:34.0 2006-04-26 10:08:48.0 2006-04-26 10:08:48.0 42 42 0 0 1 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 130 963138 i1pw14pRDH Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 xMax 2006-03-15 10:38:18.0 2006-03-15 10:38:30.0 2006-03-15 10:38:30.0 2006-03-15 10:45:34.0 34 34 1 0 0 3 Changing axis bounds 28 963390 i1pw14pRDH Unit ES_03, Section ES_03-7 LIT10 1 -f/(-f) = (0-a)/(-f) 2006-04-24 10:57:46.0 2006-04-24 10:57:57.0 2006-04-24 10:57:57.0 2006-04-24 10:57:57.0 11 11 1 0 0 1 963580 i1pw14pRDH Unit CTA1_08, Section CTA1_08-2 L3_DEMO 1 R3C2 2006-05-17 10:26:03.0 2006-05-17 10:26:29.0 2006-05-17 10:26:29.0 2006-05-17 10:26:29.0 26 26 1 0 0 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 24~~34~~13 964109 JU5Ms0pxvu Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 R5C1 2006-03-15 10:03:19.0 2006-03-15 10:03:23.0 2006-03-15 10:03:23.0 2006-03-15 10:03:23.0 4 4 1 0 0 1 Using small numbers~~Find X, negative slope~~Using difficult numbers 48~~11~~26 964377 JU5Ms0pxvu Unit ES_03, Section ES_03-8 LIT11A 2 2-n-2 = t-2 2006-04-21 09:48:51.0 2006-04-21 09:48:55.0 2006-04-21 09:49:14.0 2006-04-21 09:49:20.0 29 29 0 1 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 13 964543 JU5Ms0pxvu Unit CTA1_08, Section CTA1_08-3 REAL10 1 R1C2 2006-04-26 09:47:21.0 2006-04-26 09:48:19.0 2006-04-26 09:48:19.0 2006-04-26 09:48:19.0 58 58 1 0 0 1 964831 JU5Ms0pxvu Unit ES_04, Section ES_04-13 LIT37 1 -y/t = -t*x/(-t) 2006-05-19 10:24:23.0 2006-05-19 10:24:29.0 2006-05-19 10:24:29.0 2006-05-19 10:24:29.0 6 6 1 0 0 1 965296 MCA1W52H2T Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 R6C2 2006-03-15 10:24:21.0 2006-03-15 10:24:32.0 2006-03-15 10:24:32.0 2006-03-15 10:24:32.0 11 11 1 0 0 1 Entering a given 64 965470 MCA1W52H2T Unit ES_03, Section ES_03-6 EG53A 1 -21.6-38 = 38.8y-y+38-38 2006-04-19 10:32:51.0 2006-04-19 10:36:39.0 2006-04-19 10:36:39.0 2006-04-19 10:36:55.0 244 244 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 7 965760 MCA1W52H2T Unit CTA1_08, Section CTA1_08-3 L5FB02 1 YLabel 2006-04-24 10:38:14.0 2006-04-24 10:38:21.0 2006-04-24 10:38:21.0 2006-04-24 10:38:21.0 7 7 1 0 0 1 Labelling the axes 69 966118 MCA1W52H2T Unit ES_04, Section ES_04-16 LIT55 1 (y-3)+m*7 = m*x-m*7+m*7 2006-05-17 10:40:38.0 2006-05-17 10:40:43.0 2006-05-17 10:40:43.0 2006-05-17 10:41:11.0 33 33 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 42 966264 MCA1W52H2T Unit CTA1_10, Section CTA1_10-3 DISTFB05_SP 1 R3C1 2006-05-19 10:18:49.0 2006-05-19 10:18:53.0 2006-05-19 10:18:53.0 2006-05-19 10:18:53.0 4 4 1 0 0 1 Define Variable 47 966431 RwM69ocq8e Unit ES_02, Section ES_02-10 EG44 2 1/1 = 1x/1 2006-02-22 10:07:32.0 2006-02-22 10:07:45.0 2006-02-22 10:07:45.0 2006-02-22 10:08:00.0 28 28 1 2 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 5 966533 RwM69ocq8e Unit CTA1_13, Section CTA1_13-1 PROP13 1 R2C1 2006-02-22 10:44:09.0 2006-02-22 10:44:13.0 2006-02-22 10:44:20.0 2006-02-22 10:44:20.0 11 11 0 0 2 1 Identifying units 4 966896 RwM69ocq8e Unit CTA1_06, Section CTA1_06-3 JAN05 1 Add Point 2006-03-15 10:30:27.0 2006-03-15 10:30:49.0 2006-03-15 10:30:49.0 22 22 0 1 0 0 967297 RwM69ocq8e Unit ES_03, Section ES_03-8 LIT16A 1 z*c = 34 2006-04-26 10:40:54.0 2006-04-26 10:41:05.0 2006-04-26 10:41:05.0 2006-04-26 10:41:05.0 11 11 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 51 967493 RwM69ocq8e Unit CTA1_08, Section CTA1_08-3 PERCENT12 3 Formula 1 Coeff 1 2006-05-17 09:49:25.0 2006-05-17 09:49:31.0 2006-05-17 09:49:34.0 2006-05-17 09:49:34.0 9 9 0 1 0 1 Setting the slope 15 967987 t3dx1x27e1 Unit CTA1_06, Section CTA1_06-3 BH1T43 1 R3C1 2006-05-16 10:16:07.0 2006-05-16 10:16:10.0 2006-05-16 10:16:10.0 2006-05-16 10:16:10.0 3 3 1 0 0 1 Define Variable 19 968281 Uv4cSe2ijd Unit ES_02, Section ES_02-8 EG41 1 row3-N-x 2006-02-22 10:49:46.0 2006-02-22 10:49:49.0 2006-02-22 10:49:49.0 2006-02-22 10:49:49.0 3 3 1 0 0 1 968465 Uv4cSe2ijd Unit CTA1_13, Section CTA1_13-1 PROP12 2 R6C2 2006-03-27 10:27:28.0 2006-03-27 10:27:36.0 2006-03-27 10:27:36.0 8 8 0 1 0 0 Find Y, Simple~~Using small numbers~~Using difficult numbers 2~~14~~14 968785 Uv4cSe2ijd Unit CTA1_06, Section CTA1_06-3 FEB04 1 R4C1 2006-04-25 08:45:32.0 2006-04-25 08:45:38.0 2006-04-25 08:45:38.0 2006-04-25 08:45:38.0 6 6 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 57~~15~~45 969444 Uv4cSe2ijd Unit ES_03, Section ES_03-8 LIT18A 1 row2u 2006-05-17 09:54:34.0 2006-05-17 09:54:36.0 2006-05-17 09:54:36.0 2006-05-17 09:54:36.0 2 2 1 0 0 1 969472 Uv4cSe2ijd Unit CTA1_08, Section CTA1_08-2 L1FB13 1 R3C1 2006-05-17 10:18:05.0 2006-05-17 10:18:07.0 2006-05-17 10:18:07.0 2006-05-17 10:18:07.0 2 2 1 0 0 1 Define Variable 32 969490 Vu26QoCms4 Unit CTA1_04, Section CTA1_04-4 BH1T47A 1 R7C1 2006-02-17 08:29:06.0 2006-02-17 08:34:17.0 2006-02-17 08:35:29.0 2006-02-17 08:35:29.0 323 323 0 0 3 1 Using small numbers~~Find X, negative slope~~Using simple numbers 1~~1~~1 969802 Vu26QoCms4 Unit ES_02, Section ES_02-8 EG41 4 constant terms1R1 2006-02-24 10:49:41.0 2006-02-24 10:49:43.0 2006-02-24 10:49:43.0 2006-02-24 10:49:43.0 2 2 1 0 0 1 969991 Vu26QoCms4 Unit CTA1_13, Section CTA1_13-1 PROP09 1 R6C1 2006-03-03 09:27:16.0 2006-03-03 09:27:26.0 2006-03-03 09:27:26.0 2006-03-03 09:27:26.0 10 10 1 0 0 1 Entering a given 28 970491 Vu26QoCms4 Unit CTA1_06, Section CTA1_06-4 L6FB07 1 R5C1 2006-04-26 09:55:54.0 2006-04-26 09:56:02.0 2006-04-26 09:56:02.0 2006-04-26 09:56:02.0 8 8 1 0 0 1 Entering a given 104 970719 w5famqnV15 Unit CTA1_04, Section CTA1_04-4 BH1T47B 2 ValidEquations 2006-02-22 09:55:56.0 2006-02-22 09:56:21.0 2006-02-22 09:56:21.0 2006-02-22 10:06:50.0 38 38 1 0 0 3 971163 w5famqnV15 Unit ES_02, Section ES_02-6 EG40 17 row3-D-x 2006-03-28 10:28:05.0 2006-03-28 10:28:07.0 2006-03-28 10:28:07.0 2006-03-28 10:28:07.0 2 2 1 0 0 1 971587 w5famqnV15 Unit CTA1_13, Section CTA1_13-1 PROP10 1 R6C1 2006-04-26 10:39:10.0 2006-04-26 10:39:16.0 2006-04-26 10:39:16.0 2006-04-26 10:39:16.0 6 6 1 0 0 1 Entering a given 47 972087 w5famqnV15 Unit CTA1_06, Section CTA1_06-4 BH1T52 1 R1C2 2006-05-15 10:26:37.0 2006-05-15 10:26:42.0 2006-05-15 10:27:27.0 2006-05-15 10:27:27.0 50 50 0 1 3 1 972544 xAI3938h9t Unit CTA1_06, Section CTA1_06-3 FEB13 1 xScale 2006-04-19 10:48:59.0 2006-04-19 10:49:05.0 2006-04-19 10:49:05.0 2006-04-19 10:49:05.0 6 6 1 0 0 1 Changing axis intervals 22 973120 YtB3X13RXe Unit CTA1_06, Section CTA1_06-4 JAN09 2 yMax 2006-04-19 10:29:32.0 2006-04-19 10:29:42.0 2006-04-19 10:29:42.0 2006-04-19 10:29:42.0 10 10 1 0 0 2 Changing axis bounds 55 973429 YtB3X13RXe Unit ES_03, Section ES_03-8 LIT10A 1 g = -1(0-b) 2006-04-28 10:11:09.0 2006-04-28 10:11:20.0 2006-04-28 10:11:28.0 2006-04-28 10:15:01.0 38 38 0 0 2 2 973460 YtB3X13RXe Unit CTA1_08, Section CTA1_08-2 REAL30 1 yMax 2006-04-28 10:43:11.0 2006-04-28 10:43:28.0 2006-04-28 10:43:55.0 2006-04-28 10:43:55.0 33 33 0 3 1 2 Changing axis bounds 70 973743 ZufpT349IL Unit CTA1_06, Section CTA1_06-3 JAN05 1 yScale 2006-04-26 09:56:17.0 2006-04-26 09:56:22.0 2006-04-26 09:56:22.0 2006-04-26 09:56:28.0 11 11 1 0 0 4 Changing axis intervals 20 973935 55jl7IFg3z Unit CTA1_12, Section CTA1_12-6 SYSFB11 1 R3C1 2006-02-21 14:06:58.0 2006-02-21 14:07:03.0 2006-02-21 14:07:03.0 2006-02-21 14:07:03.0 5 5 1 0 0 1 Define Variable 4 974086 55jl7IFg3z Unit ES_05, Section ES_05-8 EG61 2 4.36+7.02 = -7.02+5.23y+7.02 2006-02-23 14:13:42.0 2006-02-23 14:13:49.0 2006-02-23 14:13:49.0 2006-02-23 14:13:57.0 15 15 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 16 974383 55jl7IFg3z Unit CTA1_14, Section CTA1_14-3 2PTS08 1 495+15D = 720 2006-03-09 14:21:17.0 2006-03-09 14:21:30.0 2006-03-09 14:21:30.0 2006-03-09 14:21:30.0 13 13 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 65 974706 55jl7IFg3z Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT5X+12 1 Formula 1 Coeff 1 2006-03-27 13:52:34.0 2006-03-27 13:52:49.0 2006-03-27 13:52:49.0 2006-03-27 13:52:49.0 15 15 1 0 0 1 Placing coordinate point 28 974856 55jl7IFg3z Unit CTA1_15, Section CTA1_15-3 SYSFB10 1 R1C3 2006-04-03 13:46:50.0 2006-04-03 13:47:10.0 2006-04-03 13:47:10.0 2006-04-03 13:47:10.0 20 20 1 0 0 1 975060 55jl7IFg3z Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE4TRE 1 R7C1 2006-04-20 13:57:08.0 2006-04-20 13:58:19.0 2006-04-20 13:58:19.0 2006-04-20 13:58:19.0 71 71 1 0 0 1 Entering a computed linear value 13 975199 562xzTNuI6 Unit CTA1_04, Section CTA1_04-4 BH1T47A 1 R6C1 2006-02-21 13:38:26.0 2006-02-21 13:38:53.0 2006-02-21 13:40:15.0 2006-02-21 13:40:15.0 52 52 0 0 4 1 Using simple numbers~~Using small numbers~~Find X, negative slope 2~~20~~3 975472 562xzTNuI6 Unit ES_02, Section ES_02-8 EG41 6 8-(-6) = -6+y/5-(-6) 2006-02-23 10:54:09.0 2006-02-23 10:54:14.0 2006-02-23 10:54:14.0 2006-02-23 10:54:26.0 17 17 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 9 975614 562xzTNuI6 Unit CTA1_13, Section CTA1_13-1 PROP01 1 R7C2 2006-02-28 09:02:56.0 2006-02-28 09:03:02.0 2006-02-28 09:03:02.0 2006-02-28 09:03:02.0 6 6 1 0 0 1 Entering a given 55 976224 562xzTNuI6 Unit CTA1_06, Section CTA1_06-4 BH1T51 1 R6C1 2006-03-17 13:51:47.0 2006-03-17 13:51:59.0 2006-03-17 13:52:06.0 2006-03-17 13:52:06.0 19 19 0 1 0 1 Entering a given~~Convert unit, standard 161~~13 976725 562xzTNuI6 Unit ES_03, Section ES_03-7 LIT8 1 w+r = 7 2006-04-20 13:59:52.0 2006-04-20 14:00:14.0 2006-04-20 14:00:14.0 2006-04-20 14:00:14.0 22 22 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 90~~2 977133 562xzTNuI6 Unit CTA1_08, Section CTA1_08-3 REAL37 1 Intercept Field 1 2006-05-15 13:35:51.0 2006-05-15 13:35:56.0 2006-05-15 13:35:56.0 2006-05-15 13:35:56.0 5 5 1 0 0 1 Entering the y-intercept 21 977294 562xzTNuI6 Unit ES_04, Section ES_04-6 EG55A 1 13.3x = 9.5-34.58 2006-05-18 09:29:31.0 2006-05-18 09:29:36.0 2006-05-18 09:29:36.0 2006-05-18 09:29:36.0 5 5 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 120 977396 6e1627evYc Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 R7C2 2006-03-02 14:11:48.0 2006-03-02 14:12:19.0 2006-03-02 14:12:19.0 2006-03-02 14:12:19.0 31 31 1 0 0 1 Entering a given 16 977643 6e1627evYc Unit ES_03, Section ES_03-6 EG53 3 x2R1 2006-03-23 13:57:39.0 2006-03-23 13:57:43.0 2006-03-23 13:57:43.0 2006-03-23 13:57:43.0 4 4 1 0 0 1 977897 6e1627evYc Unit CTA1_08, Section CTA1_08-3 PERCENT12 1 R3C2 2006-04-20 13:34:09.0 2006-04-20 13:34:57.0 2006-04-20 13:35:50.0 2006-04-20 13:35:50.0 101 101 0 3 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 26~~11~~14 978196 6e1627evYc Unit ES_04, Section ES_04-12 EG58 2 yR2 2006-05-08 13:57:20.0 2006-05-08 13:57:29.0 2006-05-08 13:57:29.0 2006-05-08 13:57:29.0 9 9 1 0 0 1 978956 GVw1FC32GS Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 R5C1 2006-04-20 13:51:50.0 2006-04-20 13:52:08.0 2006-04-20 13:56:01.0 2006-04-20 13:56:01.0 30 30 0 2 0 1 Using small numbers~~Find X, negative slope~~Using difficult numbers 65~~14~~36 979107 GVw1FC32GS Unit ES_03, Section ES_03-5 EG52 1 3.2-0.8 = 4.3x+0.8-0.8 2006-05-01 13:43:21.0 2006-05-01 13:43:32.0 2006-05-01 13:43:32.0 2006-05-01 13:43:32.0 11 11 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 22 979310 i0FfLG15di Unit CTA1_06, Section CTA1_06-4 BH1T52 1 R4C1 2006-03-13 13:46:10.0 2006-03-13 13:46:16.0 2006-03-13 13:46:16.0 2006-03-13 13:46:16.0 6 6 1 0 0 1 Using simple numbers~~Using small numbers~~Find X, negative slope 15~~14~~3 979650 i0FfLG15di Unit ES_03, Section ES_03-7 LIT7 1 g = u/(-b) 2006-04-20 13:44:38.0 2006-04-20 13:44:41.0 2006-04-20 13:44:41.0 2006-04-20 13:44:41.0 3 3 1 0 0 1 979858 i0FfLG15di Unit CTA1_08, Section CTA1_08-3 NOV13 1 XLabel 2006-05-05 14:08:16.0 2006-05-05 14:08:27.0 2006-05-05 14:08:27.0 2006-05-05 14:08:27.0 11 11 1 0 0 1 Labelling the axes 58 979970 i0FfLG15di Unit ES_04, Section ES_04-6 EG55 2 -7.9(y+1.8) = 0 2006-05-15 13:44:02.0 2006-05-15 13:44:05.0 2006-05-15 13:44:05.0 2006-05-15 13:44:05.0 3 3 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 14 980216 merKN5i5Of Unit ES_02, Section ES_02-10 EG44 3 row3-N-constant factors 2006-02-27 13:50:56.0 2006-02-27 13:50:59.0 2006-02-27 13:50:59.0 2006-02-27 13:52:27.0 6 6 1 0 0 2 980832 OCmTg4ha6w Unit CTA1_06, Section CTA1_06-4 L6FB18 1 R6C2 2006-03-17 13:40:33.0 2006-03-17 13:40:39.0 2006-03-17 13:40:39.0 2006-03-17 13:40:39.0 6 6 1 0 0 1 Entering a given 91 981291 OCmTg4ha6w Unit ES_03, Section ES_03-4 EG49 1 -2 = y+2.5y 2006-03-27 13:36:58.0 2006-03-27 13:37:01.0 2006-03-27 13:37:01.0 2006-03-27 13:37:01.0 3 3 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 31 981731 OCmTg4ha6w Unit CTA1_08, Section CTA1_08-3 NOV13 1 YUnit 2006-04-28 08:49:17.0 2006-04-28 08:49:29.0 2006-04-28 08:49:29.0 2006-04-28 08:49:29.0 12 12 1 0 0 1 981918 st945Ucdi6 Unit CTA1_06, Section CTA1_06-5 FBSMR3 2 XLabel 2006-03-02 13:56:30.0 2006-03-02 13:56:50.0 2006-03-02 13:56:50.0 2006-03-02 13:56:50.0 20 20 1 0 0 1 Labelling the axes 16 982186 st945Ucdi6 Unit ES_03, Section ES_03-7 LIT10 1 -f = 0-a 2006-03-13 13:37:23.0 2006-03-13 13:37:26.0 2006-03-13 13:37:26.0 2006-03-13 13:37:26.0 3 3 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 31 982475 st945Ucdi6 Unit CTA1_08, Section CTA1_08-3 REAL10 1 R3C1 2006-03-28 13:48:03.0 2006-03-28 13:48:07.0 2006-03-28 13:48:07.0 2006-03-28 13:48:07.0 4 4 1 0 0 1 Define Variable 25 982743 st945Ucdi6 Unit ES_04, Section ES_04-12 EG58A 1 constant factors2R1 2006-04-20 14:08:57.0 2006-04-20 14:09:09.0 2006-04-20 14:09:09.0 2006-04-20 14:09:09.0 12 12 1 0 0 1 982968 u08WLS2awz Unit ES_01, Section ES_01-10 EG27 4 -y*-1 = 2*-1 2006-03-08 12:25:04.0 2006-03-08 12:25:10.0 2006-03-08 12:25:10.0 2006-03-08 12:25:10.0 6 6 1 0 0 1 982992 u08WLS2awz Unit ES_02, Section ES_02-1 EG28 1 5+0 2006-03-08 12:36:53.0 2006-03-08 12:36:58.0 2006-03-08 12:36:58.0 2006-03-08 12:36:58.0 5 5 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 4 983429 1793z4bHHR Unit CTA1_06, Section CTA1_06-4 BH1T52 1 -80000X = -1600000 2006-04-03 08:48:16.0 2006-04-03 08:48:37.0 2006-04-03 08:48:37.0 2006-04-03 08:48:37.0 21 21 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 6~~5 983781 1793z4bHHR Unit ES_03, Section ES_03-6 EG52A 1 44x/44 = 7.4/44 2006-04-06 09:06:26.0 2006-04-06 09:06:31.0 2006-04-06 09:06:31.0 2006-04-06 09:06:53.0 27 27 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 11 984013 1793z4bHHR Unit CTA1_08, Section CTA1_08-2 FEB02 1 XLabel 2006-04-20 09:28:37.0 2006-04-20 09:28:41.0 2006-04-20 09:28:41.0 2006-04-20 09:28:41.0 4 4 1 0 0 1 Labelling the axes 78 984342 1793z4bHHR Unit ES_04, Section ES_04-12 EG58 1 constant terms1R1 2006-04-27 08:38:39.0 2006-04-27 08:38:49.0 2006-04-27 08:38:49.0 2006-04-27 08:38:49.0 10 10 1 0 0 1 984653 1793z4bHHR Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 R5C2 2006-05-16 09:06:22.0 2006-05-16 09:07:21.0 2006-05-16 09:07:21.0 59 59 0 1 0 0 Using simple numbers~~Using large numbers~~Find Y, positive slope 85~~46~~6 985277 1wJ0kz1I0l Unit CTA1_06, Section CTA1_06-4 L6FB18 1 ValidEquations 2006-04-06 09:30:29.0 2006-04-06 09:30:56.0 2006-04-06 09:30:56.0 2006-04-06 09:32:18.0 37 37 1 0 0 3 985653 1wJ0kz1I0l Unit ES_03, Section ES_03-2 EG45A 2 FinalAnswer 2006-04-27 09:39:50.0 2006-04-27 09:39:58.0 2006-04-27 09:39:58.0 2006-04-27 09:42:03.0 22 22 1 0 0 3 simplify-fractions-sp~~combine-like-terms-sp 9~~9 985745 694Y3fju01 Unit ES_04, Section ES_04-16 LIT59A 1 c+s*y+s*z-(c+s*y) = w-t-(c+s*y) 2006-02-21 08:42:25.0 2006-02-21 08:42:30.0 2006-02-21 08:42:30.0 2006-02-21 08:42:54.0 29 29 1 1 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 1 986046 694Y3fju01 Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 R5C1 2006-03-17 08:48:47.0 2006-03-17 08:49:13.0 2006-03-17 08:49:13.0 2006-03-17 08:49:13.0 26 26 1 0 0 1 Entering a given 63 986243 694Y3fju01 Unit ES_07, Section ES_07-4 LIT65A 1 k*(-m-s)/(-m-s) = (n*t-h*q)/(-m-s) 2006-04-04 08:47:15.0 2006-04-04 08:47:19.0 2006-04-04 08:47:19.0 2006-04-04 08:47:39.0 24 24 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 11 986639 694Y3fju01 Unit CTA1_12, Section CTA1_12-6 SYSFB03 1 R2C1 2006-04-06 09:24:08.0 2006-04-06 09:24:12.0 2006-04-06 09:24:12.0 2006-04-06 09:24:12.0 4 4 1 0 0 1 Identifying units 58 986765 694Y3fju01 Unit ES_05, Section ES_05-8 EG61 1 -9.64+(-1.06y) = 7.4 2006-04-19 08:59:40.0 2006-04-19 08:59:50.0 2006-04-19 08:59:50.0 2006-04-19 08:59:50.0 10 10 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 106~~25 987187 694Y3fju01 Unit CTA1_14, Section CTA1_14-4 IPCTURDUCKEN 1 25-(4/10)*D = 0 2006-04-25 08:44:47.0 2006-04-25 08:44:52.0 2006-04-25 08:44:52.0 2006-04-25 08:44:52.0 5 5 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 159 987653 694Y3fju01 Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YGT5X+12 1 XCoordinate1_2 2006-04-27 08:58:23.0 2006-04-27 08:58:27.0 2006-04-27 08:58:27.0 2006-04-27 08:58:27.0 4 4 1 0 0 1 Positive Constants, SIF 14 987834 694Y3fju01 Unit CTA1_15, Section CTA1_15-2 SYSFB14 1 R1C2 2006-04-27 09:33:03.0 2006-04-27 09:33:14.0 2006-04-27 09:33:14.0 2006-04-27 09:33:14.0 11 11 1 0 0 1 987998 6A16l70g5Q Unit CTA1_10, Section CTA1_10-6 DISTFB10_SP 1 R6C2 2006-02-21 09:20:40.0 2006-02-21 09:20:44.0 2006-02-21 09:20:49.0 2006-02-21 09:20:49.0 9 9 0 1 0 1 Entering a given 47 988132 6A16l70g5Q Unit ES_07, Section ES_07-5 LIT72 1 m+n = b*r 2006-02-23 09:28:00.0 2006-02-23 09:28:04.0 2006-02-23 09:28:04.0 2006-02-23 09:28:04.0 4 4 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 13 988168 6A16l70g5Q Unit CTA1_12, Section CTA1_12-1 LDEMO_SYS 1 Intersection 1 X 2006-02-23 09:38:04.0 2006-02-23 09:38:44.0 2006-02-23 09:39:02.0 2006-02-23 09:39:02.0 58 58 0 0 3 1 Labelling point of intersection 1 988347 6A16l70g5Q Unit ES_05, Section ES_05-12 LIT84 1 7y/7 = (5-2x)/7 2006-03-17 08:58:08.0 2006-03-17 08:58:10.0 2006-03-17 08:58:10.0 2006-03-17 08:58:17.0 9 9 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 32 988772 6A16l70g5Q Unit CTA1_14, Section CTA1_14-4 TPH11 1 R5C1 2006-04-04 09:31:04.0 2006-04-04 09:31:09.0 2006-04-04 09:31:09.0 2006-04-04 09:31:09.0 5 5 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 79~~49~~42 988983 6A16l70g5Q Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-3X-YLT6 1 Formula 1 XIntercept 2006-04-06 08:51:39.0 2006-04-06 08:51:44.0 2006-04-06 08:51:44.0 2006-04-06 08:51:44.0 5 5 1 0 0 1 Placing coordinate point 32 989363 6A16l70g5Q Unit CTA1_15, Section CTA1_15-3 SYS07 1 R7C1 2006-04-19 08:59:38.0 2006-04-19 08:59:40.0 2006-04-19 08:59:40.0 2006-04-19 08:59:40.0 2 2 1 0 0 1 989558 6A16l70g5Q Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE8TRE 1 R8C2 2006-04-20 09:25:35.0 2006-04-20 09:25:51.0 2006-04-20 09:25:51.0 2006-04-20 09:25:51.0 16 16 1 0 0 1 Entering a computed linear value 36 989834 6A16l70g5Q Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR49 1 2x^2+5x+3 2006-04-25 08:36:01.0 2006-04-25 08:36:05.0 2006-04-25 08:36:05.0 2006-04-25 08:36:05.0 4 4 1 0 0 1 990196 6A16l70g5Q Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR07 1 (-9-sqrt(81-80))/2 = x 2006-04-25 09:22:31.0 2006-04-25 09:22:34.0 2006-04-25 09:22:34.0 2006-04-25 09:22:34.0 3 3 1 0 0 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 74 990393 6A16l70g5Q Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD6TRE 1 R10C2 2006-04-27 09:13:07.0 2006-04-27 09:13:13.0 2006-04-27 09:13:13.0 2006-04-27 09:19:15.0 6 6 1 0 0 2 Entering a given~~Entering a given quadratic value 264~~35 990591 6A16l70g5Q Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 x1R1 2006-05-23 09:19:12.0 2006-05-23 09:19:13.0 2006-05-23 09:19:13.0 2006-05-23 09:19:13.0 1 1 1 0 0 1 990600 6A16l70g5Q Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-1 EG-EQS04-FIXED 1 row3-D-x 2006-05-23 09:20:54.0 2006-05-23 09:20:57.0 2006-05-23 09:21:26.0 2006-05-23 09:21:26.0 32 32 0 4 1 1 990717 971l4W5kQs Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 YUnit 2006-02-21 09:16:04.0 2006-02-21 09:16:06.0 2006-02-21 09:16:06.0 2006-02-21 09:16:06.0 2 2 1 0 0 1 991032 971l4W5kQs Unit ES_03, Section ES_03-8 LIT1A 1 t+s-s = u-s 2006-04-04 08:35:42.0 2006-04-04 08:35:45.0 2006-04-04 08:35:45.0 2006-04-04 08:35:49.0 7 7 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 17 991319 971l4W5kQs Unit CTA1_08, Section CTA1_08-3 JAN12 2 YUnit 2006-04-06 08:29:13.0 2006-04-06 08:29:16.0 2006-04-06 08:29:16.0 2006-04-06 08:29:16.0 3 3 1 0 0 1 991600 971l4W5kQs Unit ES_04, Section ES_04-14 LIT29A 1 2/t+v = z 2006-04-19 08:46:38.0 2006-04-19 08:46:43.0 2006-04-19 08:46:43.0 2006-04-19 08:46:43.0 5 5 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 89 991969 971l4W5kQs Unit CTA1_10, Section CTA1_10-6 DISTFB10_SP 1 R2C2 2006-04-25 08:57:38.0 2006-04-25 08:57:40.0 2006-04-25 08:57:40.0 2006-04-25 08:57:40.0 2 2 1 0 0 1 Identifying units 60 992110 971l4W5kQs Unit ES_07, Section ES_07-3 LIT69 2 y*t+y*f = 16m+m*h 2006-04-27 09:04:15.0 2006-04-27 09:04:40.0 2006-04-27 09:05:15.0 2006-04-27 09:05:15.0 60 60 0 3 0 1 [SkillRule: Extract to consolidate vars; {factor; factorb; factorc; factord}] 23 992217 971l4W5kQs Unit CTA1_12, Section CTA1_12-1 LDEMO_SYS 1 yMin 2006-04-27 09:36:09.0 2006-04-27 09:36:21.0 2006-04-27 09:36:21.0 2006-04-27 09:36:21.0 12 12 1 0 0 1 Changing axis bounds 73 992441 9Ydzn1ubPe Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 R5C1 2006-03-17 08:51:00.0 2006-03-17 08:51:25.0 2006-03-17 08:51:25.0 2006-03-17 08:51:25.0 25 25 1 0 0 1 Using small numbers~~Find X, negative slope~~Using difficult numbers 18~~7~~10 992684 9Ydzn1ubPe Unit ES_03, Section ES_03-7 LIT17 1 -y/-1 = q/-1 2006-04-04 08:46:38.0 2006-04-04 08:46:47.0 2006-04-04 08:46:47.0 2006-04-04 08:46:47.0 9 9 1 0 0 1 992989 9Ydzn1ubPe Unit CTA1_08, Section CTA1_08-3 JAN12 1 Formula 1 Coeff 0 2006-04-06 09:11:26.0 2006-04-06 09:11:36.0 2006-04-06 09:11:36.0 2006-04-06 09:11:36.0 10 10 1 0 0 1 Setting the y-intercept 19 993293 9Ydzn1ubPe Unit ES_04, Section ES_04-13 LIT36 1 -n/z*z = 6z 2006-04-20 09:16:57.0 2006-04-20 09:17:10.0 2006-04-20 09:17:10.0 2006-04-20 09:17:10.0 13 13 1 0 0 1 993597 9Ydzn1ubPe Unit CTA1_10, Section CTA1_10-4 DISTFB07_SP 1 R4C1 2006-04-27 08:48:10.0 2006-04-27 08:48:17.0 2006-04-27 08:48:17.0 2006-04-27 08:48:17.0 7 7 1 0 0 1 Entering a given 84 993744 9Ydzn1ubPe Unit ES_07, Section ES_07-3 LIT66 1 w*(-y+r) = s*m+b*g 2006-04-27 09:33:15.0 2006-04-27 09:33:26.0 2006-04-27 09:33:26.0 2006-04-27 09:33:26.0 11 11 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 127 993922 D4md1bS6DC Unit CTA1_06, Section CTA1_06-4 L6FB18 1 R6C2 2006-02-23 08:51:52.0 2006-02-23 08:52:00.0 2006-02-23 08:52:00.0 2006-02-23 08:52:00.0 8 8 1 0 0 1 Entering a given 30 994249 D4md1bS6DC Unit ES_03, Section ES_03-7 LIT2 1 -b/-1 = (x-y)/-1 2006-03-17 09:02:07.0 2006-03-17 09:02:16.0 2006-03-17 09:02:16.0 2006-03-17 09:02:16.0 9 9 1 0 0 1 994553 D4md1bS6DC Unit CTA1_08, Section CTA1_08-3 NOV13 1 XLabel 2006-04-04 08:49:09.0 2006-04-04 08:49:12.0 2006-04-04 08:49:12.0 2006-04-04 08:49:12.0 3 3 1 0 0 1 Labelling the axes 52 995096 D4md1bS6DC Unit ES_04, Section ES_04-16 LIT57A 1 pm-r-num-node 2006-04-25 08:50:44.0 2006-04-25 08:50:52.0 2006-04-25 08:51:12.0 2006-04-25 08:52:15.0 35 35 0 0 1 2 995274 D4md1bS6DC Unit CTA1_10, Section CTA1_10-4 DISTFB07_SP 1 R1C1 2006-04-27 09:11:45.0 2006-04-27 09:11:58.0 2006-04-27 09:11:58.0 2006-04-27 09:11:58.0 13 13 1 0 0 1 995460 D4md1bS6DC Unit ES_07, Section ES_07-4 LIT63A 1 n*t-h*r-z*n = c*j 2006-05-25 09:19:57.0 2006-05-25 09:20:29.0 2006-05-25 09:20:29.0 2006-05-25 09:20:29.0 32 32 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 140 995495 dN4g3pRdSO Unit CTA1_06, Section CTA1_06-4 JAN09 1 R6C1 2006-02-21 08:48:50.0 2006-02-21 08:48:55.0 2006-02-21 08:48:55.0 2006-02-21 08:48:55.0 5 5 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 4~~6~~4 995711 dN4g3pRdSO Unit ES_03, Section ES_03-8 LIT2A 1 z-c = y 2006-03-06 08:29:58.0 2006-03-06 08:31:18.0 2006-03-06 08:31:18.0 2006-03-06 08:31:18.0 80 80 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 27 995908 dN4g3pRdSO Unit CTA1_08, Section CTA1_08-3 NOV13 1 Formula 1 Coeff 0 2006-04-03 08:35:37.0 2006-04-03 08:35:45.0 2006-04-03 08:35:45.0 2006-04-03 08:35:45.0 8 8 1 0 0 1 Setting the y-intercept 14 996171 dN4g3pRdSO Unit ES_04, Section ES_04-12 EG58 2 -43y+60 = 2 2006-04-06 08:54:26.0 2006-04-06 08:54:33.0 2006-04-06 08:54:33.0 2006-04-06 08:54:33.0 7 7 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 68 996599 dN4g3pRdSO Unit CTA1_10, Section CTA1_10-5 DIST05_SP 1 R3C1 2006-04-24 08:55:09.0 2006-04-24 08:55:10.0 2006-04-24 08:55:10.0 2006-04-24 08:55:10.0 1 1 1 0 0 1 Define Variable 41 996762 dN4g3pRdSO Unit ES_07, Section ES_07-4 LIT66A 1 -c*h-t*n = x*(-s+z) 2006-04-27 08:33:00.0 2006-04-27 08:33:15.0 2006-04-27 08:33:15.0 2006-04-27 08:33:15.0 15 15 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 165 996887 dN4g3pRdSO Unit CTA1_12, Section CTA1_12-2 SYS04 1 R1C1 2006-05-16 08:37:17.0 2006-05-16 08:38:24.0 2006-05-16 08:38:24.0 2006-05-16 08:38:24.0 67 67 1 0 0 1 997084 N6wWxh9CL4 Unit ES_02, Section ES_02-8 EG41 7 6 = y/9-3 2006-03-06 08:39:18.0 2006-03-06 08:42:53.0 2006-03-06 08:42:53.0 2006-03-06 08:42:53.0 215 215 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 6 997265 N6wWxh9CL4 Unit CTA1_13, Section CTA1_13-1 PROP12 1 3X = 150000 2006-03-27 08:58:57.0 2006-03-27 08:59:01.0 2006-03-27 08:59:17.0 2006-03-27 08:59:17.0 20 20 0 0 3 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 8~~24 997717 N6wWxh9CL4 Unit CTA1_06, Section CTA1_06-3 BH1T43 1 R5C1 2006-04-20 09:01:57.0 2006-04-20 09:02:02.0 2006-04-20 09:02:02.0 2006-04-20 09:02:02.0 5 5 1 0 0 1 Using simple numbers~~Using small numbers~~Find X, positive slope 35~~62~~28 998134 N6wWxh9CL4 Unit ES_03, Section ES_03-5 EG52A 1 -27.7x = -37.4-4.1 2006-04-27 08:47:23.0 2006-04-27 08:47:28.0 2006-04-27 08:47:28.0 2006-04-27 08:47:28.0 5 5 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 39 998358 N6wWxh9CL4 Unit CTA1_08, Section CTA1_08-3 NOV13 1 R1C1 2006-04-27 12:42:41.0 2006-04-27 12:42:45.0 2006-04-27 12:42:45.0 2006-04-27 12:42:45.0 4 4 1 0 0 1 998598 N6wWxh9CL4 Unit ES_04, Section ES_04-14 LIT25A 1 k*c+r-r = 7-r 2006-05-09 22:41:38.0 2006-05-09 22:41:51.0 2006-05-09 22:41:51.0 2006-05-09 22:42:08.0 30 30 1 1 0 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]]~~[SkillRule: Consolidate vars with coeff; CLT] 40~~67 998854 QUcO70Q91P Unit ES_03, Section ES_03-7 LIT1 1 s+r = t 2006-02-23 08:49:55.0 2006-02-23 08:50:06.0 2006-02-23 08:50:06.0 2006-02-23 08:50:06.0 11 11 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 17~~3 999034 QUcO70Q91P Unit CTA1_08, Section CTA1_08-2 FEB09 1 Formula 1 Coeff 0 2006-03-17 08:54:17.0 2006-03-17 08:54:24.0 2006-03-17 08:54:36.0 2006-03-17 08:54:36.0 19 19 0 3 1 1 Setting the y-intercept 11 999608 QUcO70Q91P Unit ES_04, Section ES_04-16 LIT57A 1 n+3-3 = (b-c)/j-3 2006-04-24 08:52:01.0 2006-04-24 08:52:07.0 2006-04-24 08:52:07.0 2006-04-24 08:52:18.0 17 17 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 48 999780 QUcO70Q91P Unit CTA1_10, Section CTA1_10-3 DISTFB04_SP 1 160 = 1.25X 2006-04-25 08:58:32.0 2006-04-25 08:58:38.0 2006-04-25 08:58:38.0 2006-04-25 08:58:38.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 47~~110 999953 QUcO70Q91P Unit ES_07, Section ES_07-1 LIT52 1 (g*r+5n)/(y+r) = f*(y+r)/(y+r) 2006-05-16 09:00:25.0 2006-05-16 09:00:31.0 2006-05-16 09:00:31.0 2006-05-16 09:00:31.0 6 6 1 0 0 1 1000076 zBpW3sqPf6 Unit CTA1_06, Section CTA1_06-4 L6FB19 1 R4C1 2006-02-23 08:42:11.0 2006-02-23 08:42:30.0 2006-02-23 08:42:30.0 2006-02-23 08:42:30.0 19 19 1 0 0 1 Entering a given 23 1000474 zBpW3sqPf6 Unit ES_03, Section ES_03-7 LIT2 1 -b/-1 = (x-y)/-1 2006-04-03 08:59:22.0 2006-04-03 08:59:34.0 2006-04-03 08:59:34.0 2006-04-03 08:59:34.0 12 12 1 0 0 1 1000744 zBpW3sqPf6 Unit CTA1_08, Section CTA1_08-2 FEB02 1 R1C2 2006-04-06 09:23:25.0 2006-04-06 09:23:36.0 2006-04-06 09:23:36.0 2006-04-06 09:23:36.0 11 11 1 0 0 1 1001448 zBpW3sqPf6 Unit ES_04, Section ES_04-14 LIT37A 1 row3-N-u 2006-05-16 09:18:40.0 2006-05-16 09:18:48.0 2006-05-16 09:19:00.0 2006-05-16 09:19:00.0 20 20 0 0 1 1 1001653 Zl09dc50NB Unit CTA1_06, Section CTA1_06-4 L6FB18 1 xMax 2006-02-21 09:42:22.0 2006-02-21 09:42:28.0 2006-02-21 09:42:28.0 2006-02-21 09:42:28.0 6 6 1 0 0 1 Changing axis bounds 14 1001941 Zl09dc50NB Unit ES_03, Section ES_03-8 LIT11A 1 2-n = t 2006-04-03 08:55:47.0 2006-04-03 08:55:53.0 2006-04-03 08:55:53.0 2006-04-03 08:55:53.0 6 6 1 0 0 1 1002153 Zl09dc50NB Unit CTA1_08, Section CTA1_08-3 NOV13 2 Formula 1 Coeff 1 2006-04-19 08:32:01.0 2006-04-19 08:32:09.0 2006-04-19 08:32:35.0 2006-04-19 08:32:35.0 34 34 0 2 0 1 Setting the slope 14 1002553 Zl09dc50NB Unit ES_04, Section ES_04-15 LIT60 1 n*b*q/(n*b) = (c*w-n*b*u)/(n*b) 2006-04-27 08:57:29.0 2006-04-27 08:57:34.0 2006-04-27 08:57:34.0 2006-04-27 08:57:34.0 5 5 1 0 0 1 1002791 Zl09dc50NB Unit CTA1_10, Section CTA1_10-3 DISTFB06_SP 1 0.3D = 232500 2006-05-16 08:39:56.0 2006-05-16 08:40:03.0 2006-05-16 08:40:03.0 2006-05-16 08:40:03.0 7 7 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 55~~129 1003198 zUlk9c7UEv Unit CTA1_06, Section CTA1_06-4 L6FB07 2 6.44T+325 = 2500 2006-03-29 10:29:10.0 2006-03-29 10:29:19.0 2006-03-29 10:29:19.0 2006-03-29 10:29:19.0 9 9 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 18 1003712 zUlk9c7UEv Unit ES_03, Section ES_03-7 LIT4 1 a*h/a = w/a 2006-04-19 10:08:06.0 2006-04-19 10:08:12.0 2006-04-19 10:08:12.0 2006-04-19 10:08:12.0 6 6 1 0 0 1 1003937 zUlk9c7UEv Unit CTA1_08, Section CTA1_08-3 NOV13 1 XLabel 2006-04-24 08:44:56.0 2006-04-24 08:44:58.0 2006-04-24 08:44:58.0 2006-04-24 08:44:58.0 2 2 1 0 0 1 Labelling the axes 68 1004265 zUlk9c7UEv Unit ES_04, Section ES_04-13 LIT46 1 3/n*n = -5h*n 2006-04-27 08:32:56.0 2006-04-27 08:33:07.0 2006-04-27 08:33:21.0 2006-04-27 08:33:21.0 25 25 0 1 2 1 1004444 zUlk9c7UEv Unit CTA1_10, Section CTA1_10-2 DIST09_SP 1 R5C1 2006-04-27 09:29:59.0 2006-04-27 09:30:03.0 2006-04-27 09:30:03.0 2006-04-27 09:30:03.0 4 4 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 55~~31~~35 1004550 pXs7s2k8Jv Unit ES_02, Section ES_02-6 EG40 6 row2constant factors 2006-03-07 14:09:59.0 2006-03-07 14:10:04.0 2006-03-07 14:10:04.0 2006-03-07 14:10:04.0 5 5 1 0 0 1 1004613 XkcoMK8tfF Unit ES_02, Section ES_02-5 EG40 4 8y/8 = 0/8 2006-03-07 12:32:36.0 2006-03-07 12:32:44.0 2006-03-07 12:32:44.0 2006-03-07 12:32:44.0 8 8 1 0 0 1 1004673 zStzz3DlD1 Unit ES_02, Section ES_02-10 EG44 2 -4 = -3/x 2006-03-07 13:44:31.0 2006-03-07 13:44:58.0 2006-03-07 13:44:58.0 2006-03-07 13:44:58.0 27 27 1 0 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 6 1004817 1k3GIfwBw6 Unit ES_04, Section ES_04-14 LIT30A 1 INNERn1 2006-03-01 09:36:24.0 2006-03-01 09:36:34.0 2006-03-01 09:36:34.0 2006-03-01 09:36:34.0 10 10 1 0 0 1 1005225 1k3GIfwBw6 Unit CTA1_10, Section CTA1_10-6 DISTFB12_SP 1 R4C1 2006-03-24 09:26:37.0 2006-03-24 09:26:43.0 2006-03-24 09:26:43.0 2006-03-24 09:26:43.0 6 6 1 0 0 1 Entering a given 71 1005457 1k3GIfwBw6 Unit ES_07, Section ES_07-4 LIT63A 2 n*t-h*r+h*r = c*j+z*n+h*r 2006-05-05 09:13:30.0 2006-05-05 09:13:34.0 2006-05-05 09:13:34.0 2006-05-05 09:13:42.0 12 12 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 49 1005501 1k3GIfwBw6 Unit CTA1_12, Section CTA1_12-1 LDEMO_SYS 1 R4C1 2006-05-05 09:25:05.0 2006-05-05 09:25:09.0 2006-05-05 09:25:09.0 2006-05-05 09:25:09.0 4 4 1 0 0 1 Entering a given 73 1005662 1k3GIfwBw6 Unit ES_05, Section ES_05-9 EG62A 3 1016.09y = -8267.12 2006-05-22 09:22:04.0 2006-05-22 09:22:15.0 2006-05-22 09:22:15.0 2006-05-22 09:22:15.0 11 11 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 64~~163 1005775 1k3GIfwBw6 Unit CTA1_14, Section CTA1_14-2 1PTFB11 1 -5M = -1,260 2006-05-24 09:28:37.0 2006-05-24 09:28:44.0 2006-05-24 09:28:44.0 2006-05-24 09:28:44.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 181~~30 1005833 3v8ytbUoc6 Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 R1C2 2006-03-01 08:52:40.0 2006-03-01 08:53:33.0 2006-03-01 08:53:33.0 2006-03-01 08:53:33.0 53 53 1 0 0 1 1005976 3v8ytbUoc6 Unit ES_03, Section ES_03-6 EG51 1 0.7 = 3.4x+2.4x-4.6 2006-03-03 09:01:37.0 2006-03-03 09:01:43.0 2006-03-03 09:01:43.0 2006-03-03 09:01:43.0 6 6 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 27 1006206 3v8ytbUoc6 Unit CTA1_08, Section CTA1_08-3 DEC04 1 yScale 2006-03-22 09:30:36.0 2006-03-22 09:30:40.0 2006-03-22 09:30:40.0 2006-03-22 09:30:58.0 22 22 1 0 0 3 Changing axis intervals 8 1006472 3v8ytbUoc6 Unit ES_04, Section ES_04-10 EG57A 2 11y = -212.0004 2006-05-05 09:31:26.0 2006-05-05 09:32:08.0 2006-05-05 09:32:08.0 2006-05-05 09:32:08.0 42 42 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 30~~77 1006822 7tV3w3qB6t Unit CTA1_06, Section CTA1_06-3 FOR05 1 yMax 2006-05-05 09:13:21.0 2006-05-05 09:13:26.0 2006-05-05 09:13:26.0 2006-05-05 09:13:26.0 5 5 1 0 0 1 Changing axis bounds 41 1006949 ctVOdq1wnp Unit CTA1_13, Section CTA1_13-1 PROP01 1 R1C1 2006-03-01 09:25:09.0 2006-03-01 09:25:28.0 2006-03-01 09:26:13.0 2006-03-01 09:26:13.0 64 64 0 1 0 1 1007413 ctVOdq1wnp Unit CTA1_06, Section CTA1_06-3 BH1T42 2 R4C1 2006-05-10 08:51:14.0 2006-05-10 08:51:26.0 2006-05-10 08:53:13.0 2006-05-10 08:53:13.0 44 44 0 0 4 1 Using simple numbers~~Using small numbers~~Find X, positive slope 44~~71~~34 1007923 DykSLZf35a Unit ES_04, Section ES_04-12 EG58A 15 yR2 2006-05-10 08:52:46.0 2006-05-10 08:52:51.0 2006-05-10 08:52:51.0 2006-05-10 08:54:58.0 25 25 1 0 0 2 perform-mult-row2-sp 34 1008076 F9WJ1RKM4L Unit CTA1_08, Section CTA1_08-3 DEC04 1 yMax 2006-03-01 09:36:49.0 2006-03-01 09:37:22.0 2006-03-01 09:37:22.0 2006-03-01 09:37:22.0 33 33 1 0 0 1 Changing axis bounds 6 1008454 F9WJ1RKM4L Unit ES_04, Section ES_04-16 LIT58A 1 7+z*(c+q)-7 = s+g-7 2006-04-12 09:03:45.0 2006-04-12 09:04:08.0 2006-04-12 09:04:08.0 2006-04-12 09:04:22.0 37 37 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 32 1008550 F9WJ1RKM4L Unit CTA1_10, Section CTA1_10-2 DIST03_SP 1 R2C2 2006-05-22 09:18:36.0 2006-05-22 09:18:56.0 2006-05-22 09:18:56.0 2006-05-22 09:18:56.0 20 20 1 0 0 1 Identifying units 17 1008702 hgivhSMgnH Unit CTA1_06, Section CTA1_06-4 L6FB07 1 6.44T+325 = 2500 2006-05-10 09:31:14.0 2006-05-10 09:31:46.0 2006-05-10 09:31:46.0 2006-05-10 09:31:46.0 32 32 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 5 1008903 i5Y9A05Ph8 Unit ES_03, Section ES_03-8 LIT2A 1 c1R1 2006-03-01 09:18:38.0 2006-03-01 09:18:43.0 2006-03-01 09:18:43.0 2006-03-01 09:18:43.0 5 5 1 0 0 1 1009082 i5Y9A05Ph8 Unit CTA1_08, Section CTA1_08-2 FEB02 1 R3C1 2006-03-03 09:21:48.0 2006-03-03 09:21:51.0 2006-03-03 09:21:51.0 2006-03-03 09:21:51.0 3 3 1 0 0 1 Define Variable 11 1009434 i5Y9A05Ph8 Unit ES_04, Section ES_04-13 LIT28 1 h/b+2 = z 2006-03-22 08:46:01.0 2006-03-22 08:46:20.0 2006-03-22 08:46:20.0 2006-03-22 08:46:20.0 19 19 1 0 0 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 2 1009799 i5Y9A05Ph8 Unit CTA1_10, Section CTA1_10-3 DISTFB06_SP 1 0.3D = 232500 2006-05-05 08:48:47.0 2006-05-05 08:48:53.0 2006-05-05 08:48:53.0 2006-05-05 08:48:53.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 44~~122 1010117 i5Y9A05Ph8 Unit ES_07, Section ES_07-4 LIT66A 1 -x*z+x*s = t*n+c*h 2006-05-19 09:13:37.0 2006-05-19 09:13:48.0 2006-05-19 09:13:48.0 2006-05-19 09:13:48.0 11 11 1 0 0 1 [SkillRule: Extract to consolidate vars; {factor; factorb; factorc; factord}] 23 1010204 i5Y9A05Ph8 Unit ES_05, Section ES_05-4 EG59A 1 -68/-114 = -114y/-114 2006-05-22 09:33:31.0 2006-05-22 09:33:35.0 2006-05-22 09:33:35.0 2006-05-22 09:33:42.0 11 11 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 69 1010296 j0D7C5VG29 Unit ES_03, Section ES_03-7 LIT2 1 -b/-1 = (x-y)/-1 2006-03-03 08:48:01.0 2006-03-03 08:48:09.0 2006-03-03 08:48:09.0 2006-03-03 08:48:09.0 8 8 1 0 0 1 1010536 j0D7C5VG29 Unit CTA1_08, Section CTA1_08-3 REAL10 1 YLabel 2006-03-22 09:09:39.0 2006-03-22 09:09:52.0 2006-03-22 09:09:52.0 2006-03-22 09:09:52.0 13 13 1 0 0 1 Labelling the axes 28 1010759 j0D7C5VG29 Unit ES_04, Section ES_04-13 LIT46 1 3/n*n = -5h*n 2006-03-24 09:20:52.0 2006-03-24 09:20:59.0 2006-03-24 09:21:33.0 2006-03-24 09:21:33.0 41 41 0 2 2 1 1011004 j0D7C5VG29 Unit CTA1_10, Section CTA1_10-2 DIST09_SP 1 R7C2 2006-05-10 10:40:27.0 2006-05-10 10:40:32.0 2006-05-10 10:40:32.0 2006-05-10 10:40:32.0 5 5 1 0 0 1 Entering a given 20 1011275 k4gaj1r2bT Unit ES_03, Section ES_03-8 LIT10A 1 b1R1 2006-03-01 09:38:22.0 2006-03-01 09:38:27.0 2006-03-01 09:38:27.0 2006-03-01 09:38:27.0 5 5 1 0 0 1 1011539 k4gaj1r2bT Unit CTA1_08, Section CTA1_08-3 L5FB02 1 Intercept Field 1 2006-03-20 09:22:30.0 2006-03-20 09:22:46.0 2006-03-20 09:22:50.0 2006-03-20 09:22:50.0 20 20 0 1 0 1 Entering the y-intercept 16 1012045 k4gaj1r2bT Unit ES_04, Section ES_04-16 LIT59A 1 (c+S*Y+S*Z)/S = (w-t)/S 2006-04-12 09:02:30.0 2006-04-12 09:02:53.0 2006-04-12 09:05:09.0 2006-04-12 09:06:21.0 231 231 0 7 2 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 59 1012389 k4gaj1r2bT Unit CTA1_10, Section CTA1_10-6 DISTFB10_SP 1 ValidEquations 2006-05-10 08:57:35.0 2006-05-10 08:57:56.0 2006-05-10 08:57:56.0 2006-05-10 08:57:56.0 21 21 1 0 0 2 1012512 k4gaj1r2bT Unit ES_07, Section ES_07-4 LIT64A 1 z*u-g*x = j*c+g*x-y*j-g*x 2006-05-10 09:32:50.0 2006-05-10 09:32:59.0 2006-05-10 09:32:59.0 2006-05-10 09:33:05.0 15 15 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 66 1012607 LjgZcY49TV Unit CTA1_12, Section CTA1_12-1 LDEMO_SYS 1 R2C1 2006-03-01 08:29:34.0 2006-03-01 08:29:50.0 2006-03-01 08:29:50.0 2006-03-01 08:29:50.0 16 16 1 0 0 1 Identifying units 1 1012886 LjgZcY49TV Unit ES_05, Section ES_05-12 LIT87 1 12y = 1-a*x 2006-03-03 09:33:48.0 2006-03-03 09:33:54.0 2006-03-03 09:33:54.0 2006-03-03 09:33:54.0 6 6 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 60 1013271 LjgZcY49TV Unit CTA1_14, Section CTA1_14-4 2PTFB16 1 R3C1 2006-03-24 09:33:36.0 2006-03-24 09:33:39.0 2006-03-24 09:33:39.0 2006-03-24 09:33:39.0 3 3 1 0 0 1 Define Variable 26 1013537 LjgZcY49TV Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE5TRE 1 R7C1 2006-05-05 09:18:28.0 2006-05-05 09:18:36.0 2006-05-05 09:18:36.0 2006-05-05 09:18:36.0 8 8 1 0 0 1 Entering a computed linear value 41 1013665 LjgZcY49TV Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR41 1 FQTryAgainButton 2006-05-10 08:46:26.0 2006-05-10 08:46:34.0 2006-05-10 08:46:34.0 2006-05-10 08:51:46.0 26 26 1 0 0 7 1014007 LjgZcY49TV Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR16 1 num1-factor-node 2006-05-24 08:48:44.0 2006-05-24 08:48:46.0 2006-05-24 08:48:46.0 2006-05-24 08:48:46.0 2 2 1 0 0 1 qft-num1-sp 13 1014123 m5MmtPWHdr Unit CTA1_13, Section CTA1_13-1 PROP04 1 R7C1 2006-03-03 08:29:52.0 2006-03-03 08:33:24.0 2006-03-03 08:33:24.0 212 212 0 1 0 0 Using small numbers~~Find X, Simple~~Using difficult numbers 1~~1~~1 1014124 m5MmtPWHdr Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR06 1 num2-factor-node 2006-03-03 08:33:24.0 2006-03-03 08:36:42.0 2006-03-03 08:38:07.0 283 283 0 0 4 0 1014180 m5MmtPWHdr Unit CTA1_13, Section CTA1_13-1 PROP01 1 R1C1 2006-03-20 09:26:34.0 2006-03-20 09:27:05.0 2006-03-20 09:27:05.0 2006-03-20 09:27:05.0 31 31 1 0 0 1 1014267 m5MmtPWHdr Unit CTA1_06, Section CTA1_06-2 L5FB16 1 R4C1 2006-03-22 09:28:06.0 2006-03-22 09:28:25.0 2006-03-22 09:32:49.0 2006-03-22 09:32:49.0 21 21 0 1 0 1 Entering a given 45 1014519 Q0Fp6Da7G1 Unit CTA1_08, Section CTA1_08-3 FEB08 1 R2C2 2006-03-03 09:25:01.0 2006-03-03 09:25:03.0 2006-03-03 09:25:03.0 2006-03-03 09:25:03.0 2 2 1 0 0 1 Identifying units 20 1014735 Q0Fp6Da7G1 Unit ES_04, Section ES_04-13 LIT29 1 2/s+u = y 2006-03-24 09:23:33.0 2006-03-24 09:23:50.0 2006-03-24 09:24:10.0 2006-03-24 09:25:44.0 131 131 0 1 0 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] 40~~1 1015067 Q0Fp6Da7G1 Unit CTA1_10, Section CTA1_10-4 DIST02_SP 1 R4C2 2006-05-10 09:03:44.0 2006-05-10 09:03:50.0 2006-05-10 09:03:52.0 8 8 0 0 2 0 Using simple numbers~~Using large numbers~~Find Y, any form 27~~17~~6 1015269 rE6U5574qn Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 R4C1 2006-03-01 09:22:39.0 2006-03-01 09:22:44.0 2006-03-01 09:22:44.0 2006-03-01 09:22:44.0 5 5 1 0 0 1 Entering a given 11 1015518 rE6U5574qn Unit ES_03, Section ES_03-8 LIT10A 1 constant terms1R1 2006-03-20 09:20:27.0 2006-03-20 09:20:32.0 2006-03-20 09:20:32.0 2006-03-20 09:20:32.0 5 5 1 0 0 1 1015785 rE6U5574qn Unit CTA1_08, Section CTA1_08-3 JAN12 1 Intercept Field 1 2006-03-22 09:37:36.0 2006-03-22 09:37:53.0 2006-03-22 09:37:59.0 2006-03-22 09:37:59.0 23 23 0 1 0 1 Entering the y-intercept 18 1015993 rE6U5574qn Unit ES_04, Section ES_04-14 LIT27A 1 6r/6 = (90-g)/6 2006-04-12 08:41:51.0 2006-04-12 08:42:11.0 2006-04-12 08:42:11.0 2006-04-12 08:42:15.0 24 24 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 33 1016258 rE6U5574qn Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 R3C2 2006-05-10 08:35:05.0 2006-05-10 08:36:37.0 2006-05-10 08:36:37.0 2006-05-10 08:36:37.0 92 92 1 0 0 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 35~~31~~22 1016388 rE6U5574qn Unit ES_07, Section ES_07-4 LIT66A 1 -x*z-c*h+x*s+c*h = t*n+c*h 2006-05-10 09:34:38.0 2006-05-10 09:34:50.0 2006-05-10 09:34:50.0 2006-05-10 09:35:01.0 23 23 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 49 1016464 rE6U5574qn Unit CTA1_12, Section CTA1_12-1 LDEMO_SYS 1 xMax 2006-05-19 08:57:06.0 2006-05-19 08:57:27.0 2006-05-19 08:57:27.0 2006-05-19 08:57:27.0 21 21 1 0 0 1 Changing axis bounds 48 1016580 rE6U5574qn Unit ES_05, Section ES_05-9 EG62A 1 9033.71-489.11y = -93.36y-3033.95 2006-05-24 08:43:38.0 2006-05-24 08:43:58.0 2006-05-24 08:43:58.0 2006-05-24 08:43:58.0 20 20 1 0 0 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 25 1016597 Rl6LafSUXj Unit ES_02, Section ES_02-10 EG44 1 row2x 2006-02-21 09:55:44.0 2006-02-21 09:55:46.0 2006-02-21 09:55:51.0 2006-02-21 09:55:51.0 7 7 0 1 0 1 1016712 Rl6LafSUXj Unit CTA1_13, Section CTA1_13-1 PROP13 1 R2C1 2006-03-03 08:49:20.0 2006-03-03 08:49:29.0 2006-03-03 08:49:29.0 2006-03-03 08:49:29.0 9 9 1 0 0 1 Identifying units 5 1017329 Rl6LafSUXj Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 R2C1 2006-05-11 09:58:57.0 2006-05-11 09:59:05.0 2006-05-11 09:59:05.0 2006-05-11 09:59:05.0 8 8 1 0 0 1 Identifying units 46 1017521 Rl6LafSUXj Unit ES_03, Section ES_03-5 EG51 1 0.1y = 8.4 2006-05-19 08:57:18.0 2006-05-19 08:57:24.0 2006-05-19 08:57:24.0 2006-05-19 08:57:24.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 38~~63 1017857 TAw598sUia Unit CTA1_06, Section CTA1_06-4 L6FB19 1 243 = 1.8B 2006-03-22 09:10:36.0 2006-03-22 09:10:43.0 2006-03-22 09:10:43.0 2006-03-22 09:10:43.0 7 7 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 15~~17 1018208 TAw598sUia Unit ES_03, Section ES_03-7 LIT17 1 -y/-1 = q/-1 2006-05-09 10:51:54.0 2006-05-09 10:52:00.0 2006-05-09 10:52:00.0 2006-05-09 10:52:00.0 6 6 1 0 0 1 1018397 TAw598sUia Unit CTA1_08, Section CTA1_08-2 BH1T04 1 Slope Field 1 2006-05-10 09:27:20.0 2006-05-10 09:27:24.0 2006-05-10 09:27:24.0 2006-05-10 09:27:24.0 4 4 1 0 0 1 Entering the slope 11 1018553 TAw598sUia Unit ES_04, Section ES_04-5 EG55 1 -7.6x = 39.72 2006-05-16 10:46:31.0 2006-05-16 10:46:39.0 2006-05-16 10:46:39.0 2006-05-16 10:46:39.0 8 8 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 90~~39 1018648 zb6H17h1Dc Unit ES_02, Section ES_02-9 EG44 2 6x = 4 2006-03-08 08:44:41.0 2006-03-08 08:44:49.0 2006-03-08 08:44:49.0 2006-03-08 08:44:49.0 8 8 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 9~~15 1018756 zb6H17h1Dc Unit CTA1_13, Section CTA1_13-1 PROP10 1 R1C1 2006-03-08 09:21:44.0 2006-03-08 09:21:55.0 2006-03-08 09:21:55.0 2006-03-08 09:21:55.0 11 11 1 0 0 1 1018870 zb6H17h1Dc Unit CTA1_06, Section CTA1_06-2 L5FB16 1 YLabel 2006-05-22 09:22:39.0 2006-05-22 09:23:03.0 2006-05-22 09:23:15.0 2006-05-22 09:23:15.0 36 36 0 1 0 1 Labelling the axes 7 1019081 233EMC2k7k Unit CTA1_08, Section CTA1_08-3 REAL10 1 Slope Field 1 2006-03-01 08:54:34.0 2006-03-01 08:54:43.0 2006-03-01 09:01:38.0 2006-03-01 09:01:38.0 424 424 0 2 9 1 Entering the slope 16 1019641 233EMC2k7k Unit ES_04, Section ES_04-12 EG58A 2 constant factors1R1 2006-05-05 09:10:43.0 2006-05-05 09:10:47.0 2006-05-05 09:10:47.0 2006-05-05 09:10:47.0 4 4 1 0 0 1 1020097 2kb387yOiG Unit ES_02, Section ES_02-10 EG44 6 row1-N-constant factors 2006-02-24 08:57:54.0 2006-02-24 08:57:56.0 2006-02-24 08:57:56.0 2006-02-24 08:57:56.0 2 2 1 0 0 1 1020163 2kb387yOiG Unit CTA1_13, Section CTA1_13-1 PROP12 1 R5C1 2006-02-24 09:14:26.0 2006-02-24 09:14:33.0 2006-02-24 09:14:33.0 2006-02-24 09:14:33.0 7 7 1 0 0 1 Entering a given 22 1020764 2kb387yOiG Unit CTA1_06, Section CTA1_06-4 L6FB19 1 R4C1 2006-03-29 08:57:56.0 2006-03-29 08:58:03.0 2006-03-29 08:58:03.0 2006-03-29 08:58:03.0 7 7 1 0 0 1 Entering a given 114 1021253 2kb387yOiG Unit ES_03, Section ES_03-6 EG52 1 17.3/9.1 = 9.1x/9.1 2006-04-12 08:56:11.0 2006-04-12 08:56:18.0 2006-04-12 08:56:18.0 2006-04-12 08:56:30.0 19 19 1 0 0 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 29 1021667 2kb387yOiG Unit CTA1_08, Section CTA1_08-3 JAN12 1 Intercept Field 1 2006-05-05 09:32:20.0 2006-05-05 09:32:21.0 2006-05-05 09:32:21.0 1 1 0 0 1 0 Entering the y-intercept 4 1022713 2kb387yOiG Unit ES_04, Section ES_04-16 LIT58A 1 row1-N-z 2006-05-24 09:19:05.0 2006-05-24 09:19:07.0 2006-05-24 09:19:07.0 2006-05-24 09:19:07.0 2 2 1 0 0 1 1022813 2kb387yOiG Unit CTA1_10, Section CTA1_10-2 REAL18_SP 1 R5C1 2006-05-24 09:36:11.0 2006-05-24 09:36:16.0 2006-05-24 09:36:16.0 2006-05-24 09:36:16.0 5 5 1 0 0 1 Entering a given 145 1023439 38a8p8Zl0z Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 YLabel 2006-04-26 08:38:52.0 2006-04-26 08:39:08.0 2006-04-26 08:39:08.0 2006-04-26 08:39:08.0 16 16 1 0 0 1 Labelling the axes 46 1023816 38a8p8Zl0z Unit ES_03, Section ES_03-6 EG52 1 -7.9-2.7 = 5.5x+2.7-2.7 2006-05-05 09:16:31.0 2006-05-05 09:16:36.0 2006-05-05 09:16:36.0 2006-05-05 09:16:53.0 22 22 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 9 1023996 38a8p8Zl0z Unit CTA1_08, Section CTA1_08-2 REAL30 1 R3C1 2006-05-24 09:12:58.0 2006-05-24 09:13:00.0 2006-05-24 09:13:08.0 2006-05-24 09:13:08.0 10 10 0 0 3 1 Define Variable 26 1024184 3g1Pl94peh Unit CTA1_06, Section CTA1_06-4 L6FB07 5 xMin 2006-05-01 09:28:19.0 2006-05-01 09:29:54.0 2006-05-01 09:29:54.0 2006-05-01 09:29:54.0 95 95 1 0 0 1 Changing axis bounds 29 1024501 4u483r4C0S Unit CTA1_06, Section CTA1_06-3 JAN05 1 R3C2 2006-04-12 08:54:18.0 2006-04-12 08:54:24.0 2006-04-12 08:54:59.0 2006-04-12 08:54:59.0 41 41 0 0 5 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 19~~11~~7 1024789 4u483r4C0S Unit ES_03, Section ES_03-1 EG46A 1 25+46x+x-25 = 10-25 2006-05-24 09:32:35.0 2006-05-24 09:32:39.0 2006-05-24 09:32:39.0 2006-05-24 09:32:39.0 4 4 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 3 1024900 7cEjwssz1R Unit ES_05, Section ES_05-10 EG62A 3 -179.26y+9620.07-737.85y = -3918.85 2006-02-24 09:13:55.0 2006-02-24 09:13:59.0 2006-02-24 09:13:59.0 2006-02-24 09:13:59.0 4 4 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 30 1025277 7cEjwssz1R Unit CTA1_14, Section CTA1_14-4 IPCCHEF 1 R5C1 2006-03-24 09:18:55.0 2006-03-24 09:18:58.0 2006-03-24 09:18:58.0 2006-03-24 09:18:58.0 3 3 1 0 0 1 Entering a given 82 1025610 7cEjwssz1R Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 YLEX+7 1 Formula 1 Coeff 0 2006-03-29 09:15:55.0 2006-03-29 09:15:57.0 2006-03-29 09:15:57.0 2006-03-29 09:15:57.0 2 2 1 0 0 1 Placing coordinate point 37 1025940 7cEjwssz1R Unit CTA1_15, Section CTA1_15-3 SYS07 1 4000-160S = 2500 2006-04-12 09:31:37.0 2006-04-12 09:31:41.0 2006-04-12 09:31:41.0 2006-04-12 09:31:41.0 4 4 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 96 1026221 7cEjwssz1R Unit QUAD-ADD-AREA-ALG1, Section QUAD-ADD-AREA-ALG1-1 NEWSQUARE3TRE 1 xScale 2006-05-05 08:33:44.0 2006-05-05 08:33:47.0 2006-05-05 08:33:47.0 2006-05-05 08:33:47.0 3 3 1 0 0 1 Changing axis intervals 33 1026316 7cEjwssz1R Unit QUADRATICS-FACTORING_ES, Section QUADRATICS-FACTORING_ES-2 EG-FACTOR38 1 FinalAnswer 2006-05-05 09:02:36.0 2006-05-05 09:02:43.0 2006-05-05 09:02:43.0 2006-05-05 09:02:43.0 7 7 1 0 0 1 factor-sp 3 1026690 7cEjwssz1R Unit QUADRATICS-SOLVING_ES, Section QUADRATICS-SOLVING_ES-1 EG-S-FACTOR05 1 (-10-sqrt(64))/2 = x 2006-05-10 08:43:28.0 2006-05-10 08:43:36.0 2006-05-10 08:43:41.0 2006-05-10 08:43:41.0 13 13 0 1 0 1 [SkillRule: Apply Exponent; {Expand Exponents; eval radical; Expand Exponents, radical}] 46 1026778 7cEjwssz1R Unit QUAD-VERTICAL-MOTION, Section QUAD-VERTICAL-MOTION-1 NEWQUAD2TRE 1 Point 1.7 2006-05-10 09:31:18.0 2006-05-10 09:31:30.0 2006-05-10 09:31:32.0 14 14 0 0 2 0 Correctly placing points 5 1027026 7N07jFgyQJ Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 R4C1 2006-03-01 08:49:25.0 2006-03-01 08:49:35.0 2006-03-01 08:49:35.0 2006-03-01 08:49:35.0 10 10 1 0 0 1 Entering a given 28 1027350 7N07jFgyQJ Unit ES_03, Section ES_03-6 EG51A 2 FinalAnswer 2006-03-29 09:19:35.0 2006-03-29 09:19:45.0 2006-03-29 09:19:45.0 2006-03-29 09:19:45.0 10 10 1 0 0 1 combine-like-terms-sp 26 1027661 7N07jFgyQJ Unit CTA1_08, Section CTA1_08-3 DEC04 3 YUnit 2006-05-22 09:13:42.0 2006-05-22 09:13:46.0 2006-05-22 09:13:46.0 2006-05-22 09:13:46.0 4 4 1 0 0 1 1027730 9Bj19ocQBw Unit CTA1_13, Section CTA1_13-1 PROP13 1 R6C1 2006-02-24 09:05:26.0 2006-02-24 09:05:46.0 2006-02-24 09:05:46.0 2006-02-24 09:05:46.0 20 20 1 0 0 1 Entering a given~~Convert unit, standard 11~~3 1028136 9Bj19ocQBw Unit CTA1_06, Section CTA1_06-4 L6FB07 1 xMax 2006-04-26 09:06:08.0 2006-04-26 09:06:21.0 2006-04-26 09:06:21.0 2006-04-26 09:06:21.0 13 13 1 0 0 1 Changing axis bounds 68 1028828 doWQeQ3VZC Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 R7C1 2006-05-01 09:32:54.0 2006-05-01 09:33:01.0 2006-05-01 09:33:01.0 2006-05-01 09:33:01.0 7 7 1 0 0 1 Entering a given 91 1028907 doWQeQ3VZC Unit ES_03, Section ES_03-2 EG46 1 9-10 = 2y 2006-05-24 09:40:40.0 2006-05-24 09:40:48.0 2006-05-24 09:40:48.0 2006-05-24 09:40:48.0 8 8 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 18 1029094 jdT9cZAxyb Unit ES_05, Section ES_05-12 LIT39 1 y = m*x+b 2006-02-24 09:28:33.0 2006-02-24 09:28:39.0 2006-02-24 09:28:39.0 2006-02-24 09:28:39.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 39 1029531 jdT9cZAxyb Unit CTA1_14, Section CTA1_14-4 2PTFB14 1 R1C1 2006-04-10 09:10:08.0 2006-04-10 09:10:37.0 2006-04-10 09:10:37.0 2006-04-10 09:10:37.0 29 29 1 0 0 1 1029896 jdT9cZAxyb Unit LINEAR-INEQUALITY-GRAPHING, Section LINEAR-INEQUALITY-GRAPHING-2 P-3X-YLT6 1 XCoordinate1_1 2006-04-26 08:41:27.0 2006-04-26 08:41:29.0 2006-04-26 08:41:29.0 2006-04-26 08:41:29.0 2 2 1 0 0 1 Negative Constant, GLF 24 1030273 jdT9cZAxyb Unit CTA1_15, Section CTA1_15-3 SYS06 1 xScale 2006-05-22 09:22:25.0 2006-05-22 09:22:28.0 2006-05-22 09:22:28.0 2006-05-22 09:22:28.0 3 3 1 0 0 1 Changing axis intervals 13 1030688 JL3J46dUrn Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 R6C2 2006-04-26 08:49:05.0 2006-04-26 08:49:14.0 2006-04-26 08:49:14.0 2006-04-26 08:49:14.0 9 9 1 0 0 1 Entering a given 55 1030897 JL3J46dUrn Unit ES_03, Section ES_03-5 EG51A 1 0.48148148 = 21.6x/21.6 2006-05-19 08:35:21.0 2006-05-19 08:35:25.0 2006-05-19 08:35:25.0 2006-05-19 08:35:25.0 4 4 1 0 0 1 1031008 rA9d62o2bb Unit ES_03, Section ES_03-8 LIT10A 1 row1-D-constant factors 2006-02-24 08:49:22.0 2006-02-24 08:49:29.0 2006-02-24 08:49:29.0 2006-02-24 08:49:29.0 7 7 1 0 0 1 1031267 rA9d62o2bb Unit CTA1_08, Section CTA1_08-3 L5FB02 1 Formula 1 Coeff 1 2006-03-01 09:00:08.0 2006-03-01 09:00:12.0 2006-03-01 09:01:32.0 2006-03-01 09:01:32.0 24 24 0 4 5 1 Setting the slope 17 1031808 rA9d62o2bb Unit ES_04, Section ES_04-15 LIT57 1 h*(m+3)/h = (a-b)/h 2006-04-12 09:02:24.0 2006-04-12 09:02:29.0 2006-04-12 09:02:29.0 2006-04-12 09:02:29.0 5 5 1 0 0 1 1032138 rA9d62o2bb Unit CTA1_10, Section CTA1_10-6 DISTFB11_SP 2 R5C1 2006-05-05 08:29:37.0 2006-05-05 08:29:45.0 2006-05-05 08:30:26.0 2006-05-05 08:30:26.0 49 49 0 1 0 1 Entering a given 67 1032449 rA9d62o2bb Unit ES_07, Section ES_07-6 LIT72A 1 (n+q)/s = c 2006-05-10 09:23:10.0 2006-05-10 09:23:19.0 2006-05-10 09:23:19.0 2006-05-10 09:23:19.0 9 9 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 73~~130 1032623 rA9d62o2bb Unit CTA1_12, Section CTA1_12-2 SYSFB17 1 -250M+8500 = 5280 2006-05-19 09:36:11.0 2006-05-19 09:37:00.0 2006-05-19 09:37:00.0 2006-05-19 09:37:00.0 49 49 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 167 1032713 uz40H610bF Unit ES_03, Section ES_03-8 LIT5A 2 n/r*r = y*r 2006-02-24 08:53:56.0 2006-02-24 08:54:01.0 2006-02-24 08:54:01.0 2006-02-24 08:54:05.0 9 9 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 1 1032935 uz40H610bF Unit CTA1_08, Section CTA1_08-3 PERCENT12 1 yMin 2006-03-01 08:53:08.0 2006-03-01 08:53:12.0 2006-03-01 08:53:12.0 2006-03-01 08:53:12.0 4 4 1 0 0 1 Changing axis bounds 25 1033537 uz40H610bF Unit ES_04, Section ES_04-14 LIT37A 1 z/(-u) = -u*y/(-u) 2006-04-12 08:57:34.0 2006-04-12 08:57:36.0 2006-04-12 08:57:36.0 2006-04-12 08:57:45.0 11 11 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 40 1033793 uz40H610bF Unit CTA1_10, Section CTA1_10-4 FOR08_SP 1 R1C1 2006-05-01 09:31:14.0 2006-05-01 09:32:16.0 2006-05-01 09:32:16.0 2006-05-01 09:32:16.0 62 62 1 0 0 1 1034190 uz40H610bF Unit ES_07, Section ES_07-5 LIT73 1 d = r*t 2006-05-10 09:04:14.0 2006-05-10 09:04:18.0 2006-05-10 09:04:18.0 2006-05-10 09:04:18.0 4 4 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 138 1034494 W0f661D7Zp Unit ES_02, Section ES_02-9 EG44 4 -9 = 3y 2006-03-24 08:50:51.0 2006-03-24 08:50:54.0 2006-03-24 08:51:03.0 2006-03-24 08:51:03.0 12 12 0 1 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 8~~25 1034612 W0f661D7Zp Unit CTA1_13, Section CTA1_13-1 PROP09 1 ValidEquations 2006-04-10 09:24:45.0 2006-04-10 09:25:08.0 2006-04-10 09:25:08.0 2006-04-10 09:25:08.0 23 23 1 0 0 2 1034876 W0f661D7Zp Unit CTA1_06, Section CTA1_06-2 FEB01 1 YLabel 2006-05-10 08:58:25.0 2006-05-10 09:03:08.0 2006-05-10 09:03:08.0 2006-05-10 09:03:08.0 283 283 1 0 0 1 Labelling the axes 18 1034959 wwSQeRjs22 Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 yMin 2006-03-24 09:02:03.0 2006-03-24 09:02:15.0 2006-03-24 09:02:58.0 2006-03-24 09:02:58.0 22 22 0 2 0 1 Changing axis bounds 14 1035167 wwSQeRjs22 Unit ES_03, Section ES_03-6 EG51 1 FinalAnswer 2006-03-29 08:45:45.0 2006-03-29 08:45:56.0 2006-03-29 08:45:56.0 2006-03-29 08:45:56.0 11 11 1 0 0 1 combine-like-terms-sp 17 1035474 wwSQeRjs22 Unit CTA1_08, Section CTA1_08-3 NOV13 1 R2C1 2006-04-12 09:03:03.0 2006-04-12 09:03:06.0 2006-04-12 09:03:06.0 2006-04-12 09:03:06.0 3 3 1 0 0 1 Identifying units 24 1035856 wwSQeRjs22 Unit ES_04, Section ES_04-13 LIT31 1 t/k*k = -g*k 2006-04-26 09:33:06.0 2006-04-26 09:33:09.0 2006-04-26 09:33:09.0 2006-04-26 09:33:09.0 3 3 1 0 0 1 1036228 wwSQeRjs22 Unit CTA1_10, Section CTA1_10-3 DISTFB06_SP 1 J-100000 = 3333333.33333333 2006-05-22 09:30:44.0 2006-05-22 09:30:57.0 2006-05-22 09:30:57.0 2006-05-22 09:30:57.0 13 13 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 141~~18 1036885 wz0V4oY4Z2 Unit CTA1_06, Section CTA1_06-5 FBSMR3 2 0.99-0.05P = 0.44 2006-04-26 08:32:59.0 2006-04-26 08:33:10.0 2006-04-26 08:33:32.0 2006-04-26 08:33:32.0 33 33 0 2 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 36 1037261 wz0V4oY4Z2 Unit ES_03, Section ES_03-8 LIT11A 1 n1R1 2006-05-24 09:22:47.0 2006-05-24 09:22:53.0 2006-05-24 09:23:03.0 2006-05-24 09:23:03.0 9 9 0 1 0 1 1037446 y2Z0J1858D Unit ES_03, Section ES_03-8 LIT8A 1 x+s-x = 7-x 2006-03-24 09:00:10.0 2006-03-24 09:00:14.0 2006-03-24 09:00:14.0 2006-03-24 09:00:18.0 8 8 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 11 1037666 y2Z0J1858D Unit CTA1_08, Section CTA1_08-3 REAL10 1 R1C2 2006-04-26 09:12:57.0 2006-04-26 09:13:13.0 2006-04-26 09:13:13.0 2006-04-26 09:13:13.0 16 16 1 0 0 1 1037775 y2Z0J1858D Unit ES_04, Section ES_04-6 EG55 2 FinalAnswer 2006-05-01 09:27:00.0 2006-05-01 09:27:02.0 2006-05-01 09:27:13.0 2006-05-01 09:27:13.0 13 13 0 0 1 1 combine-like-terms-sp 16 1038209 Y5XkapASsg Unit CTA1_06, Section CTA1_06-4 BH1T48 1 -4050000S = -500000000 2006-04-12 09:08:39.0 2006-04-12 09:09:00.0 2006-04-12 09:09:00.0 2006-04-12 09:09:00.0 21 21 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 17~~2 1038573 Y5XkapASsg Unit ES_03, Section ES_03-6 EG51A 1 -12.4y+13.2-13.2 = -16-13.2 2006-05-19 09:26:07.0 2006-05-19 09:26:18.0 2006-05-19 09:26:25.0 2006-05-19 09:27:03.0 56 56 0 1 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 7 1038675 YoXjDl010q Unit CTA1_02, Section CTA1_02-4 BH1T29B 1 R2C2 2006-04-26 08:48:43.0 2006-04-26 08:48:45.0 2006-04-26 08:48:55.0 2006-04-26 08:48:55.0 12 12 0 2 0 1 Identifying units 4 1038778 1hQzlO49di Unit CTA1_13, Section CTA1_13-1 PROP06 1 R3C2 2006-02-22 10:38:07.0 2006-02-22 10:41:02.0 2006-02-22 10:41:02.0 2006-02-22 10:41:02.0 175 175 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 14~~7~~14 1038996 1hQzlO49di Unit CTA1_06, Section CTA1_06-3 BH1T44 1 R2C1 2006-05-19 09:56:21.0 2006-05-19 09:56:29.0 2006-05-19 09:56:29.0 2006-05-19 09:56:29.0 8 8 1 0 0 1 Identifying units 19 1039199 1Nf2932GeH Unit CTA1_04, Section CTA1_04-4 L5FB04C 1 R2C1 2006-03-31 10:57:14.0 2006-03-31 10:57:18.0 2006-03-31 10:57:33.0 2006-03-31 10:57:33.0 19 19 0 1 0 1 Identifying units 13 1039417 1Nf2932GeH Unit ES_02, Section ES_02-5 EG40 10 -2x+3 = -7 2006-05-12 10:24:12.0 2006-05-12 10:24:22.0 2006-05-12 10:24:22.0 2006-05-12 10:24:22.0 10 10 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 25 1039713 7a0Ziet39H Unit CTA1_06, Section CTA1_06-3 FEB04 1 R3C1 2006-03-31 10:04:06.0 2006-03-31 10:04:10.0 2006-03-31 10:04:10.0 2006-03-31 10:04:10.0 4 4 1 0 0 1 Define Variable 8 1040011 7XQtQA55O7 Unit ES_01, Section ES_01-11 EG27 3 -3 = -x 2006-05-03 10:18:32.0 2006-05-03 10:18:39.0 2006-05-03 10:18:39.0 2006-05-03 10:18:39.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}]~~[SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 18~~14~~7 1040207 7XQtQA55O7 Unit CTA1_04, Section CTA1_04-3 L2FB15C 1 R1C2 2006-05-19 10:30:42.0 2006-05-19 10:30:53.0 2006-05-19 10:30:53.0 2006-05-19 10:30:53.0 11 11 1 0 0 1 1040414 9TvPity5px Unit ES_03, Section ES_03-8 LIT10A 1 b-g+G = 0+G 2006-02-22 10:08:09.0 2006-02-22 10:08:15.0 2006-02-22 10:08:15.0 2006-02-22 10:09:19.0 29 29 1 0 0 4 [SkillRule: Consolidate vars, no coeff; CLT] 24 1040768 9TvPity5px Unit CTA1_08, Section CTA1_08-3 FEB08 1 R3C1 2006-03-03 10:49:11.0 2006-03-03 10:49:13.0 2006-03-03 10:49:13.0 2006-03-03 10:49:13.0 2 2 1 0 0 1 Define Variable 20 1041534 9TvPity5px Unit ES_04, Section ES_04-15 LIT55 1 ((y-3)-m*-7)/m = m*x/m 2006-04-28 10:21:07.0 2006-04-28 10:21:10.0 2006-04-28 10:21:18.0 2006-04-28 10:21:18.0 11 11 0 1 0 1 1041731 9TvPity5px Unit CTA1_10, Section CTA1_10-2 DIST03_SP 1 70000+3500B = 217000 2006-05-17 10:50:50.0 2006-05-17 10:51:00.0 2006-05-17 10:51:00.0 2006-05-17 10:51:00.0 10 10 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 116 1041774 a43DzeQWut Unit CTA1_06, Section CTA1_06-5 FBSMR2 1 YUnit 2006-02-22 10:04:15.0 2006-02-22 10:04:23.0 2006-02-22 10:04:23.0 2006-02-22 10:04:23.0 8 8 1 0 0 1 1041905 a43DzeQWut Unit ES_03, Section ES_03-6 EG51 1 -0.9y = 1.1 2006-02-22 10:54:26.0 2006-02-22 10:54:34.0 2006-02-22 10:54:34.0 2006-02-22 10:54:34.0 8 8 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 24~~14 1042153 a43DzeQWut Unit CTA1_08, Section CTA1_08-2 FEB02 1 YUnit 2006-03-22 10:37:30.0 2006-03-22 10:37:33.0 2006-03-22 10:37:33.0 2006-03-22 10:37:33.0 3 3 1 0 0 1 1042485 a43DzeQWut Unit ES_04, Section ES_04-10 EG57 2 -72-(-2) = -4x-2-(-2) 2006-04-28 10:42:48.0 2006-04-28 10:42:55.0 2006-04-28 10:42:55.0 2006-04-28 10:42:59.0 11 11 1 0 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 41 1042738 a43DzeQWut Unit CTA1_10, Section CTA1_10-2 DIST09_SP 1 T*12000 = 60000 2006-05-12 10:56:26.0 2006-05-12 10:56:35.0 2006-05-12 10:56:35.0 2006-05-12 10:56:35.0 9 9 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 36~~121 1042880 Fm7ESoRh9v Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 15X = 11025 2006-02-22 10:06:29.0 2006-02-22 10:06:36.0 2006-02-22 10:06:36.0 2006-02-22 10:06:36.0 7 7 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 1~~2 1043031 Fm7ESoRh9v Unit ES_07, Section ES_07-4 LIT64A 2 di-expr 2006-03-08 09:53:37.0 2006-03-08 09:53:41.0 2006-03-08 09:53:41.0 2006-03-08 09:53:41.0 4 4 1 0 0 1 1043138 Fm7ESoRh9v Unit CTA1_12, Section CTA1_12-2 SYS03 1 ValidEquations 2006-03-31 10:20:26.0 2006-03-31 10:20:54.0 2006-03-31 10:21:30.0 2006-03-31 10:23:41.0 118 118 0 3 0 2 1043260 Fm7ESoRh9v Unit ES_05, Section ES_05-8 EG61 4 -12.77 = 0.21y 2006-04-21 09:54:14.0 2006-04-21 09:54:22.0 2006-04-21 09:54:22.0 2006-04-21 09:54:22.0 8 8 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 29~~66 1043486 Fm7ESoRh9v Unit CTA1_14, Section CTA1_14-2 1PTFB13 1 60X = 100 2006-05-15 10:57:54.0 2006-05-15 10:58:00.0 2006-05-15 10:58:00.0 2006-05-15 10:58:00.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 48~~100 1043706 lKsX609E6x Unit ES_03, Section ES_03-8 LIT2A 1 0+z = y+c 2006-03-03 09:53:47.0 2006-03-03 09:53:59.0 2006-03-03 09:54:04.0 2006-03-03 09:54:25.0 38 38 0 1 2 2 [SkillRule: Consolidate vars, no coeff; CLT] 18 1043832 lKsX609E6x Unit CTA1_08, Section CTA1_08-2 FEB03 1 Formula 1 Coeff 1 2006-03-08 10:00:19.0 2006-03-08 10:00:31.0 2006-03-08 10:00:31.0 2006-03-08 10:00:31.0 12 12 1 0 0 1 Setting the slope 7 1044358 lKsX609E6x Unit ES_04, Section ES_04-15 LIT54 1 x+t-t = b/k-t 2006-04-21 10:13:52.0 2006-04-21 10:13:55.0 2006-04-21 10:13:55.0 2006-04-21 10:13:55.0 3 3 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 27 1044537 lKsX609E6x Unit CTA1_10, Section CTA1_10-3 DISTFB05_SP 3 ValidEquations 2006-05-15 10:33:47.0 2006-05-15 10:34:14.0 2006-05-15 10:34:14.0 2006-05-15 10:35:37.0 37 37 1 0 0 3 1044831 o2mSq0vQ50 Unit CTA1_06, Section CTA1_06-4 L6FB07 1 R4C1 2006-03-22 10:41:07.0 2006-03-22 10:41:23.0 2006-03-22 10:41:23.0 2006-03-22 10:41:23.0 16 16 1 0 0 1 Entering a given 33 1045150 o2mSq0vQ50 Unit ES_03, Section ES_03-4 EG49 1 2/-5.6 = -5.6y/-5.6 2006-05-19 10:07:33.0 2006-05-19 10:07:38.0 2006-05-19 10:07:38.0 2006-05-19 10:08:07.0 34 34 1 1 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 9 1045707 oWh48s12mR Unit ES_04, Section ES_04-16 LIT60A 2 q*c*(v+r) = d*x 2006-05-15 10:30:02.0 2006-05-15 10:30:19.0 2006-05-15 10:30:19.0 2006-05-15 10:30:19.0 17 17 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 62 1045855 oWh48s12mR Unit CTA1_10, Section CTA1_10-3 DISTFB03_SP 1 R5C2 2006-05-19 10:23:35.0 2006-05-19 10:23:49.0 2006-05-19 10:25:20.0 2006-05-19 10:25:20.0 105 105 0 1 0 1 Entering a given 26 1046013 PrH19Z5q87 Unit CTA1_04, Section CTA1_04-3 L2FB15C 1 R3C2 2006-02-22 09:53:47.0 2006-02-22 09:54:29.0 2006-02-22 09:54:29.0 2006-02-22 09:54:29.0 42 42 1 0 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 15~~5~~15 1046363 PrH19Z5q87 Unit ES_02, Section ES_02-10 EG44 2 3x = 5 2006-03-31 10:58:48.0 2006-03-31 10:58:54.0 2006-03-31 10:58:54.0 2006-03-31 10:58:54.0 6 6 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 26~~51 1046465 PrH19Z5q87 Unit CTA1_13, Section CTA1_13-1 PROP02 1 R3C1 2006-05-12 10:07:04.0 2006-05-12 10:07:07.0 2006-05-12 10:07:07.0 2006-05-12 10:07:07.0 3 3 1 0 0 1 Define Variable 15 1046652 PrH19Z5q87 Unit CTA1_06, Section CTA1_06-2 L6FB06 1 R7C1 2006-05-22 10:56:29.0 2006-05-22 10:56:35.0 2006-05-22 10:58:12.0 2006-05-22 10:58:12.0 60 60 0 2 4 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 71~~14~~61 1046861 PUH9Se529L Unit CTA1_04, Section CTA1_04-3 PERCENT14B 1 R1C1 2006-04-21 10:32:44.0 2006-04-21 10:34:02.0 2006-04-21 10:34:02.0 2006-04-21 10:34:02.0 78 78 1 0 0 1 1047131 PUH9Se529L Unit ES_02, Section ES_02-10 EG44 2 -10x = 7/x*x 2006-05-17 10:46:31.0 2006-05-17 10:46:35.0 2006-05-17 10:46:35.0 2006-05-17 10:47:41.0 70 70 1 1 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 10 1047238 PUH9Se529L Unit CTA1_13, Section CTA1_13-1 PROP06 1 R5C1 2006-05-19 10:34:37.0 2006-05-19 10:34:42.0 2006-05-19 10:34:42.0 2006-05-19 10:34:42.0 5 5 1 0 0 1 Entering a given 104 1047315 PUH9Se529L Unit CTA1_06, Section CTA1_06-2 BH1T20 1 yMin 2006-05-22 10:41:56.0 2006-05-22 10:42:46.0 2006-05-22 10:42:46.0 2006-05-22 10:42:46.0 50 50 1 0 0 1 Changing axis bounds 7 1048001 PUu32klgfP Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 Point 1.3 2006-05-15 10:54:22.0 2006-05-15 10:55:03.0 2006-05-15 10:55:18.0 56 56 0 0 2 0 Correctly placing points 17 1048111 PUu32klgfP Unit ES_03, Section ES_03-3 EG48 1 -10x-1.8x = 6 2006-05-22 10:38:11.0 2006-05-22 10:39:05.0 2006-05-22 10:39:05.0 2006-05-22 10:39:05.0 54 54 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 16 1048197 S833Nk9r71 Unit ES_01, Section ES_01-6 EG21 3 -4-7 = 7+x-7 2006-02-22 10:07:29.0 2006-02-22 10:07:35.0 2006-02-22 10:07:35.0 2006-02-22 10:07:35.0 6 6 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 17 1048393 Un24RpQEWg Unit ES_04, Section ES_04-15 LIT55 1 (y-3) = m*(x-7) 2006-02-22 10:20:22.0 2006-02-22 10:20:39.0 2006-02-22 10:20:39.0 2006-02-22 10:20:39.0 17 17 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] 35~~3 1048689 Un24RpQEWg Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 (56+X)/4 = 64 2006-03-31 10:29:05.0 2006-03-31 10:29:16.0 2006-03-31 10:29:16.0 2006-03-31 10:29:16.0 11 11 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 48~~46 1048872 Un24RpQEWg Unit ES_07, Section ES_07-6 LIT77A 1 zR2 2006-04-28 10:00:24.0 2006-04-28 10:00:25.0 2006-04-28 10:00:25.0 1 1 0 1 0 0 1049003 Un24RpQEWg Unit CTA1_12, Section CTA1_12-2 SYS04 1 R1C2 2006-05-03 10:26:56.0 2006-05-03 10:27:14.0 2006-05-03 10:27:26.0 2006-05-03 10:27:26.0 30 30 0 1 0 1 1049098 0ZroSLGL09 Unit CTA1_02, Section CTA1_02-4 REAL28 1 R3C2 2006-02-28 09:02:19.0 2006-02-28 09:04:23.0 2006-02-28 09:04:37.0 2006-02-28 09:04:37.0 138 138 0 1 0 1 Using simple numbers~~Using small numbers~~Write expression, negative slope 1~~1~~1 1049215 0ZroSLGL09 Unit ES_01, Section ES_01-8 EG25 2 y/8 = 5 2006-02-28 09:24:20.0 2006-02-28 09:24:27.0 2006-02-28 09:24:27.0 2006-02-28 09:24:27.0 7 7 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 3~~5 1049403 0ZroSLGL09 Unit CTA1_08, Section CTA1_08-3 DEC04 1 R3C2 2006-03-23 09:09:58.0 2006-03-23 09:10:36.0 2006-03-23 09:12:03.0 2006-03-23 09:12:03.0 125 125 0 2 0 1 Using small numbers~~Using difficult numbers~~Write expression, initial and change 13~~7~~1 1049559 0ZroSLGL09 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 1 constant factors1R1 2006-05-04 09:18:12.0 2006-05-04 09:18:16.0 2006-05-04 09:18:16.0 2006-05-04 09:18:16.0 4 4 1 0 0 1 1049639 0ZroSLGL09 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01 3 row1-D-y 2006-05-09 09:34:40.0 2006-05-09 09:34:47.0 2006-05-09 09:34:47.0 2006-05-09 09:34:47.0 7 7 1 0 0 1 1049684 3Whv9UbPsR Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01 5 (3(x^2)(y^3))/(2(x^5)(y^4)) 2006-03-20 08:47:38.0 2006-03-20 08:47:50.0 2006-03-20 08:47:50.0 2006-03-20 08:47:50.0 12 12 1 0 0 1 1049691 3Whv9UbPsR Unit CTA1_20, Section CTA1_20-1 2PTS03 1 R1C2 2006-03-20 08:51:03.0 2006-03-20 08:51:33.0 2006-03-20 08:51:33.0 2006-03-20 08:51:33.0 30 30 1 0 0 1 1049743 3Whv9UbPsR Unit CTA1_24, Section CTA1_24-1 PERCENT07 1 R4C1 2006-05-23 09:20:53.0 2006-05-23 09:21:00.0 2006-05-23 09:21:00.0 2006-05-23 09:21:00.0 7 7 1 0 0 1 Entering a given 17 1049837 7d9J30iOq8 Unit CTA1_01, Section CTA1_01-4 L1FB12 1 R4C1 2006-03-20 08:34:15.0 2006-03-20 08:34:20.0 2006-03-20 08:34:20.0 2006-03-20 08:34:20.0 5 5 1 0 0 1 Entering a given 15 1049998 7d9J30iOq8 Unit CTA1_02, Section CTA1_02-3 L3NOV10C 1 R2C2 2006-05-12 09:03:09.0 2006-05-12 09:03:14.0 2006-05-12 09:03:14.0 2006-05-12 09:03:14.0 5 5 1 0 0 1 Identifying units 28 1050107 7d9J30iOq8 Unit CTA1_08, Section CTA1_08-1 LDEMO_MBGRPH 1 YLabel 2006-05-23 09:09:13.0 2006-05-23 09:09:47.0 2006-05-23 09:09:47.0 2006-05-23 09:09:47.0 34 34 1 0 0 1 Labelling the axes 24 1050135 8mKdvKlPOw Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 1 FinalAnswer 2006-05-04 08:36:24.0 2006-05-04 08:37:08.0 2006-05-04 08:37:08.0 2006-05-04 08:37:08.0 44 44 1 0 0 1 perform-mult-sp 11 1050190 8mKdvKlPOw Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 3 FinalAnswer 2006-05-04 08:58:02.0 2006-05-04 08:58:13.0 2006-05-04 08:58:13.0 2006-05-04 08:58:13.0 11 11 1 0 0 1 simplify-fractions-sp 22 1050267 cx5L3UEvoR Unit CTA1_01, Section CTA1_01-2 BH1T26C 1 R5C2 2006-04-10 08:51:55.0 2006-04-10 08:52:13.0 2006-04-10 08:52:13.0 2006-04-10 08:52:13.0 18 18 1 0 0 1 Find Y, Simple~~Using simple numbers~~Using large numbers 15~~21~~6 1050313 k71nQKqIB3 Unit CTA1_02, Section CTA1_02-2 BH1T21A 1 R1C1 2006-05-17 10:53:42.0 2006-05-17 10:54:01.0 2006-05-17 10:54:01.0 2006-05-17 10:54:01.0 19 19 1 0 0 1 1050381 LQm0n9F5e0 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01-FIXED 1 x1R1 2006-03-02 08:53:26.0 2006-03-02 08:53:30.0 2006-03-02 08:53:30.0 2006-03-02 08:53:30.0 4 4 1 0 0 1 1050529 LQm0n9F5e0 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01 1 row2constant factors 2006-03-20 08:31:01.0 2006-03-20 08:31:15.0 2006-03-20 08:31:15.0 2006-03-20 08:31:15.0 14 14 1 0 0 1 1050569 LQm0n9F5e0 Unit CTA1_20, Section CTA1_20-1 1PTB05 1 R3C1 2006-03-20 08:41:36.0 2006-03-20 08:41:38.0 2006-03-20 08:41:38.0 2006-03-20 08:41:38.0 2 2 1 0 0 1 Define Variable 1 1050786 Mhc6xUn6X1 Unit CTA1_08, Section CTA1_08-3 L5FB02 1 R3C1 2006-03-20 08:54:09.0 2006-03-20 08:54:53.0 2006-03-20 08:54:53.0 2006-03-20 08:54:53.0 44 44 1 0 0 1 Define Variable 16 1050885 Mhc6xUn6X1 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01-FIXED 1 FinalAnswer 2006-03-23 09:17:13.0 2006-03-23 09:17:50.0 2006-03-23 09:17:50.0 2006-03-23 09:17:50.0 37 37 1 0 0 1 perform-mult-sp 9 1050961 Mhc6xUn6X1 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 8 FinalAnswer 2006-05-04 08:49:07.0 2006-05-04 08:49:17.0 2006-05-04 08:49:29.0 2006-05-04 08:49:29.0 22 22 0 1 0 1 simplify-fractions-sp 24 1051008 Mhc6xUn6X1 Unit CTA1_20, Section CTA1_20-1 IPCSWIMMING 1 R1C1 2006-05-04 09:15:37.0 2006-05-04 09:16:01.0 2006-05-04 09:18:12.0 2006-05-04 09:18:12.0 137 137 0 5 3 1 1051198 O4YDV4XPTd Unit CTA1_08, Section CTA1_08-3 NOV13 1 R1C1 2006-03-23 09:24:06.0 2006-03-23 09:24:09.0 2006-03-23 09:24:09.0 2006-03-23 09:24:09.0 3 3 1 0 0 1 1051322 O4YDV4XPTd Unit ES_04, Section ES_04-1 EG40 3 8x-8 = -2 2006-04-11 08:35:22.0 2006-04-11 08:35:29.0 2006-04-11 08:35:29.0 2006-04-11 08:35:29.0 7 7 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 3 1051355 O4YDV4XPTd Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS07 2 (3y^4)(y^6) 2006-05-04 09:13:23.0 2006-05-04 09:13:29.0 2006-05-04 09:13:29.0 2006-05-04 09:13:29.0 6 6 1 0 0 1 1051472 O4YDV4XPTd Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01 1 (4(x^2)(y^4))/(2(x^6)(y^5)) 2006-05-18 09:07:04.0 2006-05-18 09:07:09.0 2006-05-18 09:07:09.0 2006-05-18 09:07:09.0 5 5 1 0 0 1 1051519 On0ILT6rt5 Unit ES_02, Section ES_02-4 EG35B 1 4*-53 = x 2006-03-02 09:07:44.0 2006-03-02 09:07:55.0 2006-03-02 09:07:55.0 2006-03-02 09:07:55.0 11 11 1 0 0 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] 2 1051647 On0ILT6rt5 Unit CTA1_01, Section CTA1_01-3 BH1T28 1 R3C2 2006-05-04 09:22:30.0 2006-05-04 09:24:23.0 2006-05-04 09:25:07.0 2006-05-04 09:25:07.0 157 157 0 2 0 1 Using simple numbers~~Using large numbers~~Write expression, negative slope 36~~21~~1 1051716 oSV25Eb2y9 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS09 1 FinalAnswer 2006-03-02 08:52:03.0 2006-03-02 08:52:12.0 2006-03-02 08:52:12.0 2006-03-02 08:52:12.0 9 9 1 0 0 1 perform-mult-sp 11 1051796 oSV25Eb2y9 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS02 3 (5(x^6)(y^5))/y^2 2006-03-23 08:29:24.0 2006-03-23 08:29:40.0 2006-03-23 08:29:40.0 2006-03-23 08:29:40.0 16 16 1 0 0 1 1051828 oSV25Eb2y9 Unit CTA1_24, Section CTA1_24-1 REAL06 1 R7C2 2006-05-04 08:40:19.0 2006-05-04 08:40:35.0 2006-05-04 08:40:35.0 2006-05-04 08:40:35.0 16 16 1 0 0 1 Entering a given 8 1051858 QjpdTxl6ce Unit CTA1_25, Section CTA1_25-1 FOR01 1 R6C1 2006-02-28 08:58:59.0 2006-02-28 08:59:05.0 2006-02-28 08:59:05.0 2006-02-28 08:59:05.0 6 6 1 0 0 1 Entering a given 7 1051949 QjpdTxl6ce Unit CTA1_26, Section CTA1_26-1 BH1T06 1 yMax 2006-02-28 09:15:16.0 2006-02-28 09:15:29.0 2006-02-28 09:15:41.0 2006-02-28 09:15:41.0 25 25 0 2 0 2 Changing axis bounds 12 1052049 QjpdTxl6ce Unit CTA1_27, Section CTA1_27-1 PROP14 1 R4C1 2006-03-02 08:30:54.0 2006-03-02 08:31:01.0 2006-03-02 08:31:01.0 2006-03-02 08:31:01.0 7 7 1 0 0 1 Entering a given 27 1052213 Rz2qkM4015 Unit CTA1_01, Section CTA1_01-4 JAN13A 1 R4C1 2006-05-04 08:37:31.0 2006-05-04 08:37:37.0 2006-05-04 08:37:37.0 2006-05-04 08:37:37.0 6 6 1 0 0 1 Entering a given 26 1052359 Rz2qkM4015 Unit CTA1_02, Section CTA1_02-2 NEWS01C 1 R6C2 2006-05-18 09:36:17.0 2006-05-18 09:36:26.0 2006-05-18 09:36:26.0 2006-05-18 09:36:26.0 9 9 1 0 0 1 Find Y, Simple~~Using simple numbers~~Using small numbers 10~~75~~46 1052403 S7E3jvZbGG Unit CTA1_01, Section CTA1_01-4 L1FB12B 1 R1C1 2006-02-28 08:54:13.0 2006-02-28 08:56:17.0 2006-02-28 08:56:17.0 2006-02-28 08:56:17.0 124 124 1 0 0 1 1052601 S7E3jvZbGG Unit CTA1_02, Section CTA1_02-4 BH1T29B 1 XUnit 2006-03-02 09:06:43.0 2006-03-02 09:06:44.0 2006-03-02 09:06:44.0 2006-03-02 09:06:44.0 1 1 1 0 0 1 1052675 S7E3jvZbGG Unit ES_01, Section ES_01-2 EG3 2 (4+6)*4 2006-03-02 09:38:39.0 2006-03-02 09:38:42.0 2006-03-02 09:38:42.0 2006-03-02 09:38:42.0 3 3 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}]~~[SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] 6~~6 1052912 S7E3jvZbGG Unit CTA1_08, Section CTA1_08-3 REAL10 1 Intercept Field 1 2006-03-23 09:17:41.0 2006-03-23 09:17:45.0 2006-03-23 09:17:45.0 2006-03-23 09:17:45.0 4 4 1 0 0 1 Entering the y-intercept 17 1053022 S7E3jvZbGG Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 1 yR2 2006-04-10 08:50:37.0 2006-04-10 08:50:47.0 2006-04-10 08:50:47.0 2006-04-10 08:50:47.0 10 10 1 0 0 1 perform-mult-row2-sp 14 1053097 S7E3jvZbGG Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS02 1 FinalAnswer 2006-05-02 08:32:54.0 2006-05-02 08:33:11.0 2006-05-02 08:33:11.0 2006-05-02 08:33:11.0 17 17 1 0 0 1 simplify-fractions-sp 21 1053108 S7E3jvZbGG Unit CTA1_20, Section CTA1_20-1 2PTS03 1 R5C2 2006-05-02 08:37:40.0 2006-05-02 08:38:40.0 2006-05-02 08:42:00.0 2006-05-02 08:42:00.0 95 95 0 1 0 1 Using small numbers~~Find Y, positive slope~~Using difficult numbers 63~~27~~13 1053125 TQ0ahWNcZ9 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS09 2 (4y^6)(4y^3) 2006-03-23 08:36:19.0 2006-03-23 08:36:22.0 2006-03-23 08:36:22.0 2006-03-23 08:36:22.0 3 3 1 0 0 1 1053169 TQ0ahWNcZ9 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS07 3 (2y^4)/y^6 2006-03-23 08:48:27.0 2006-03-23 08:48:30.0 2006-03-23 08:48:30.0 2006-03-23 08:48:30.0 3 3 1 0 0 1 1053367 U50h3ZFmGt Unit CTA1_08, Section CTA1_08-3 NOV13 1 R1C2 2006-03-02 08:42:35.0 2006-03-02 08:42:45.0 2006-03-02 08:42:45.0 2006-03-02 08:42:45.0 10 10 1 0 0 1 1053487 U50h3ZFmGt Unit ES_04, Section ES_04-1 EG40 3 8-1y = 1 2006-03-02 09:38:01.0 2006-03-02 09:38:07.0 2006-03-02 09:38:07.0 2006-03-02 09:38:07.0 6 6 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 4 1053529 U50h3ZFmGt Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 1 yR2 2006-03-23 08:38:30.0 2006-03-23 08:38:37.0 2006-03-23 08:38:37.0 2006-03-23 08:39:08.0 9 9 1 0 0 2 perform-mult-row2-sp 14 1053651 U50h3ZFmGt Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS02 4 (2(x^5)(y^4))/y^2 2006-03-23 09:08:34.0 2006-03-23 09:08:38.0 2006-03-23 09:08:38.0 2006-03-23 09:08:38.0 4 4 1 0 0 1 1053712 wu58ARZBA2 Unit CTA1_01, Section CTA1_01-4 L1FB12C 1 R3C2 2006-05-04 21:14:24.0 2006-05-04 21:14:57.0 2006-05-04 21:16:13.0 2006-05-04 21:16:13.0 103 103 0 3 5 1 Using simple numbers~~Using small numbers~~Write expression, positive slope 19~~9~~3 1053831 wu58ARZBA2 Unit CTA1_02, Section CTA1_02-2 BH1T21A 1 R2C1 2006-05-23 09:11:03.0 2006-05-23 09:11:12.0 2006-05-23 09:11:12.0 2006-05-23 09:11:12.0 9 9 1 0 0 1 Identifying units 23 1053972 yA79w15tnU Unit ES_02, Section ES_02-7 EG41 5 y = -5*-4 2006-03-28 09:00:42.0 2006-03-28 09:00:48.0 2006-03-28 09:00:48.0 2006-03-28 09:00:48.0 6 6 1 0 0 1 1054029 yA79w15tnU Unit CTA1_13, Section CTA1_13-1 PROP04 1 R3C1 2006-03-30 08:38:02.0 2006-03-30 08:41:32.0 2006-03-30 08:41:32.0 2006-03-30 08:41:32.0 210 210 1 0 0 1 Define Variable 1 1054059 yA79w15tnU Unit CTA1_01, Section CTA1_01-2 RXMX1C 1 R3C1 2006-03-30 09:16:07.0 2006-03-30 09:16:39.0 2006-03-30 09:21:13.0 2006-03-30 09:21:13.0 298 298 0 2 0 1 Define Variable 4 1054284 YgQ57c2glM Unit CTA1_08, Section CTA1_08-3 REAL37 1 R2C1 2006-04-11 08:30:55.0 2006-04-11 08:31:03.0 2006-04-11 08:31:03.0 2006-04-11 08:31:03.0 8 8 1 0 0 1 Identifying units 17 1054368 YgQ57c2glM Unit ES_04, Section ES_04-4 EG54 3 X+2-2 = 2/9-2 2006-04-11 09:10:22.0 2006-04-11 09:10:26.0 2006-04-11 09:10:26.0 2006-04-11 09:11:13.0 51 51 1 1 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 6 1054416 YgQ57c2glM Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS09 2 (5y^4)(4y^2) 2006-05-01 08:39:22.0 2006-05-01 08:39:38.0 2006-05-01 08:39:38.0 2006-05-01 08:39:38.0 16 16 1 0 0 1 1054749 YgQ57c2glM Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 4 row3-D-y 2006-05-04 08:59:32.0 2006-05-04 08:59:34.0 2006-05-04 08:59:34.0 2006-05-04 08:59:34.0 2 2 1 0 0 1 1055187 5ZR29q8c56 Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 R4C1 2006-03-21 10:05:26.0 2006-03-21 10:05:45.0 2006-03-21 10:06:34.0 2006-03-21 10:06:34.0 68 68 0 1 3 1 Entering a given 68 1055382 5ZR29q8c56 Unit ES_03, Section ES_03-6 EG52A 1 -27.6y-46.7 = -46.9 2006-03-28 10:33:14.0 2006-03-28 10:33:30.0 2006-03-28 10:33:30.0 2006-03-28 10:33:30.0 16 16 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 20~~11 1055734 5ZR29q8c56 Unit CTA1_08, Section CTA1_08-3 FEB08 1 R1C1 2006-04-26 10:20:16.0 2006-04-26 10:20:28.0 2006-04-26 10:20:28.0 2006-04-26 10:20:28.0 12 12 1 0 0 1 1056018 5ZR29q8c56 Unit ES_04, Section ES_04-12 EG58A 5 FinalAnswer 2006-05-03 10:34:50.0 2006-05-03 10:35:45.0 2006-05-03 10:35:45.0 2006-05-03 10:36:36.0 69 69 1 0 0 2 distribute-sp~~combine-like-terms-sp 21~~22 1056264 5ZR29q8c56 Unit CTA1_10, Section CTA1_10-6 DISTFB10_SP 1 R2C2 2006-05-16 10:41:08.0 2006-05-16 10:41:13.0 2006-05-16 10:41:13.0 2006-05-16 10:41:13.0 5 5 1 0 0 1 Identifying units 83 1056370 5ZR29q8c56 Unit ES_05, Section ES_05-5 EG60 4 1 = -4y 2006-05-23 10:34:07.0 2006-05-23 10:34:22.0 2006-05-23 10:34:22.0 2006-05-23 10:34:22.0 15 15 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 118~~53 1056805 68gXsA3M68 Unit CTA1_06, Section CTA1_06-4 L6FB19 1 R1C2 2006-03-07 10:24:00.0 2006-03-07 10:24:30.0 2006-03-07 10:24:30.0 2006-03-07 10:24:30.0 30 30 1 0 0 1 1057145 68gXsA3M68 Unit ES_03, Section ES_03-6 EG52 2 constant terms1R1 2006-03-14 10:19:09.0 2006-03-14 10:19:13.0 2006-03-14 10:19:13.0 2006-03-14 10:20:11.0 8 8 1 0 0 2 1057529 68gXsA3M68 Unit CTA1_08, Section CTA1_08-3 JAN12 1 R3C2 2006-05-08 20:54:00.0 2006-05-08 20:54:04.0 2006-05-08 20:54:48.0 2006-05-08 20:54:48.0 48 48 0 0 5 1 Using small numbers~~Write expression, negative slope~~Using difficult numbers 59~~10~~34 1057728 68gXsA3M68 Unit ES_04, Section ES_04-6 EG55A 6 1114.84 = -73.2y 2006-05-18 10:32:04.0 2006-05-18 10:32:14.0 2006-05-18 10:32:14.0 2006-05-18 10:32:14.0 10 10 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 119~~49 1057803 6c2Im3PZdL Unit CTA1_04, Section CTA1_04-4 BH1T47 1 R4C1 2006-04-11 10:11:48.0 2006-04-11 10:11:56.0 2006-04-11 10:19:11.0 2006-04-11 10:19:11.0 443 443 0 2 0 1 Entering a given 14 1057965 6c2Im3PZdL Unit ES_02, Section ES_02-6 EG40 6 0 = 7x 2006-05-22 10:11:58.0 2006-05-22 10:12:09.0 2006-05-22 10:12:09.0 2006-05-22 10:12:09.0 11 11 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 12~~17 1058120 7o7172ufx2 Unit ES_03, Section ES_03-7 LIT17 1 -y/-1 = q/-1 2006-02-21 10:29:18.0 2006-02-21 10:29:25.0 2006-02-21 10:29:25.0 2006-02-21 10:29:25.0 7 7 1 0 0 1 1058336 7o7172ufx2 Unit CTA1_08, Section CTA1_08-3 JAN12 1 R3C2 2006-03-07 10:40:28.0 2006-03-07 10:40:42.0 2006-03-07 10:40:42.0 14 14 0 1 0 0 Using small numbers~~Write expression, negative slope~~Using difficult numbers 13~~3~~8 1058502 7o7172ufx2 Unit ES_04, Section ES_04-10 EG57A 1 (-42x+9)/-7*-7 = 25*-7 2006-03-28 10:36:04.0 2006-03-28 10:36:13.0 2006-03-28 10:36:13.0 2006-03-28 10:36:27.0 23 23 1 0 0 2 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] 2 1058722 7o7172ufx2 Unit CTA1_10, Section CTA1_10-6 DISTFB11_SP 1 R3C1 2006-05-18 10:42:23.0 2006-05-18 10:42:27.0 2006-05-18 10:42:27.0 2006-05-18 10:42:27.0 4 4 1 0 0 1 Define Variable 32 1058810 7o7172ufx2 Unit ES_05, Section ES_05-6 EG60 1 2x-8-2x = -3+8x-2x 2006-05-23 10:00:39.0 2006-05-23 10:00:43.0 2006-05-23 10:00:43.0 2006-05-23 10:01:53.0 74 74 1 1 0 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] 43 1059122 8cSO1GK90W Unit CTA1_06, Section CTA1_06-4 BH1T51 1 -200M = -2600 2006-02-28 10:56:43.0 2006-02-28 10:56:58.0 2006-02-28 10:56:58.0 2006-02-28 10:56:58.0 15 15 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 17~~5 1059491 8cSO1GK90W Unit ES_03, Section ES_03-7 LIT15 1 t/n*n = 10n 2006-04-11 10:07:37.0 2006-04-11 10:07:42.0 2006-04-11 10:07:56.0 2006-04-11 10:07:56.0 19 19 0 1 2 1 1059755 8cSO1GK90W Unit CTA1_08, Section CTA1_08-3 L5FB02 1 R2C2 2006-04-25 10:11:30.0 2006-04-25 10:11:34.0 2006-04-25 10:11:34.0 2006-04-25 10:11:34.0 4 4 1 0 0 1 Identifying units 47 1060003 8cSO1GK90W Unit ES_04, Section ES_04-11 EG58A 2 4 = 1598y+2162+47y 2006-05-02 10:34:16.0 2006-05-02 10:34:21.0 2006-05-02 10:34:21.0 2006-05-02 10:34:21.0 5 5 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 71 1060247 8cSO1GK90W Unit CTA1_10, Section CTA1_10-3 DISTFB04_SP 1 1.25C = 160 2006-05-09 10:44:21.0 2006-05-09 10:44:28.0 2006-05-09 10:44:28.0 2006-05-09 10:44:28.0 7 7 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 68~~136 1060687 8cSO1GK90W Unit ES_05, Section ES_05-11 LIT43 1 a*x+b*y = c 2006-05-23 10:45:59.0 2006-05-23 10:46:08.0 2006-05-23 10:46:08.0 2006-05-23 10:46:08.0 9 9 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 174 1060907 Axp5cwW7T8 Unit CTA1_08, Section CTA1_08-3 REAL37 1 R2C1 2006-02-21 10:36:52.0 2006-02-21 10:37:07.0 2006-02-21 10:37:07.0 2006-02-21 10:37:07.0 15 15 1 0 0 1 Identifying units 24 1061134 Axp5cwW7T8 Unit ES_04, Section ES_04-12 EG58A 2 constant terms2R1 2006-03-07 10:05:58.0 2006-03-07 10:06:02.0 2006-03-07 10:06:02.0 2006-03-07 10:06:02.0 4 4 1 0 0 1 1061553 Axp5cwW7T8 Unit CTA1_10, Section CTA1_10-6 DISTFB13_SP 1 R5C2 2006-03-21 10:47:41.0 2006-03-21 10:47:48.0 2006-03-21 10:47:48.0 2006-03-21 10:47:48.0 7 7 1 0 0 1 Entering a given 82 1061987 Axp5cwW7T8 Unit ES_05, Section ES_05-8 EG61 2 8.73y/8.73 = -8.62/8.73 2006-04-25 10:06:25.0 2006-04-25 10:06:28.0 2006-04-25 10:06:28.0 2006-04-25 10:06:41.0 16 16 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 50 1062392 Axp5cwW7T8 Unit CTA1_14, Section CTA1_14-3 2PTFB12 1 R5C1 2006-05-09 10:38:22.0 2006-05-09 10:38:26.0 2006-05-09 10:48:37.0 143 143 0 10 8 0 Using simple numbers~~Using small numbers~~Find X, positive slope 79~~81~~51 1062454 D08sSQFrq3 Unit ES_04, Section ES_04-16 LIT58A 1 z*c+z*q = s+g-7 2006-02-21 10:01:53.0 2006-02-21 10:02:12.0 2006-02-21 10:02:12.0 2006-02-21 10:02:12.0 19 19 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 7 1062688 D08sSQFrq3 Unit CTA1_10, Section CTA1_10-4 DIST02_SP 2 R5C1 2006-02-28 10:01:28.0 2006-02-28 10:01:34.0 2006-02-28 10:01:34.0 2006-02-28 10:01:34.0 6 6 1 0 0 1 Entering a given 49 1062899 D08sSQFrq3 Unit ES_07, Section ES_07-2 LIT49A 1 q*(3-x) = x 2006-03-21 10:24:12.0 2006-03-21 10:24:25.0 2006-03-21 10:24:25.0 2006-03-21 10:24:25.0 13 13 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 57 1063143 D08sSQFrq3 Unit ES_05, Section ES_05-10 EG62 3 -14.14y/-14.14 = -37.29/-14.14 2006-04-25 10:11:32.0 2006-04-25 10:11:36.0 2006-04-25 10:11:36.0 2006-04-25 10:11:45.0 13 13 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 42 1063372 D08sSQFrq3 Unit CTA1_14, Section CTA1_14-2 1PTB03 1 R3C2 2006-05-16 10:22:04.0 2006-05-16 10:24:10.0 2006-05-16 10:24:31.0 2006-05-16 10:24:31.0 147 147 0 1 5 1 Using small numbers~~Using difficult numbers~~Write expression, initial and point 54~~38~~6 1063604 J76B3lyQG9 Unit ES_04, Section ES_04-16 LIT55 1 (y-3) = m*(x-7) 2006-02-21 10:02:34.0 2006-02-21 10:02:46.0 2006-02-21 10:02:46.0 2006-02-21 10:02:46.0 12 12 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] 14~~6 1063769 J76B3lyQG9 Unit CTA1_10, Section CTA1_10-5 DIST04_SP 1 R4C2 2006-03-21 10:11:01.0 2006-03-21 10:11:16.0 2006-03-21 10:11:16.0 2006-03-21 10:11:16.0 15 15 1 0 0 1 Entering a given 57 1063955 J76B3lyQG9 Unit ES_05, Section ES_05-8 EG61 4 -1.54 = 12.67X+2.28 2006-04-25 10:34:35.0 2006-04-25 10:35:03.0 2006-04-25 10:35:03.0 2006-04-25 10:35:03.0 28 28 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 44 1064181 J76B3lyQG9 Unit CTA1_14, Section CTA1_14-3 2PTS02 1 R7C2 2006-05-16 10:51:49.0 2006-05-16 10:52:24.0 2006-05-16 10:52:24.0 2006-05-16 10:52:24.0 35 35 1 0 0 1 Entering a given 118 1064265 l0KpN7IKom Unit CTA1_04, Section CTA1_04-2 BH1T31 2 R5C1 2006-03-07 10:02:14.0 2006-03-07 10:02:59.0 2006-03-07 10:02:59.0 2006-03-07 10:02:59.0 45 45 1 0 0 1 Entering a given~~Convert unit, standard 20~~1 1064894 LmiEiGqx5x Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 R1C2 2006-04-19 10:11:31.0 2006-04-19 10:11:38.0 2006-04-19 10:11:38.0 2006-04-19 10:11:38.0 7 7 1 0 0 1 1065198 LmiEiGqx5x Unit ES_03, Section ES_03-6 EG52 1 -15.1 = 1.4y 2006-05-09 10:41:12.0 2006-05-09 10:41:20.0 2006-05-09 10:41:20.0 2006-05-09 10:41:20.0 8 8 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 45~~85 1065496 LmiEiGqx5x Unit CTA1_08, Section CTA1_08-3 DEC04 1 R1C1 2006-05-22 10:19:05.0 2006-05-22 10:19:25.0 2006-05-22 10:19:25.0 2006-05-22 10:19:25.0 20 20 1 0 0 1 1065680 LmiEiGqx5x Unit ES_04, Section ES_04-3 EG54 5 6(x-5) = 6 2006-05-23 10:52:44.0 2006-05-23 10:52:52.0 2006-05-23 10:52:52.0 2006-05-23 10:52:52.0 8 8 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 6 1065964 NX8N2fJ630 Unit CTA1_06, Section CTA1_06-4 L6FB18 2 R3C2 2006-03-09 20:17:43.0 2006-03-09 20:19:45.0 2006-03-09 20:20:42.0 2006-03-09 20:20:42.0 179 179 0 1 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 25~~12~~22 1066340 NX8N2fJ630 Unit ES_03, Section ES_03-6 EG51 1 constant terms1R1 2006-03-22 10:01:11.0 2006-03-22 10:01:15.0 2006-03-22 10:01:15.0 2006-03-22 10:01:15.0 4 4 1 0 0 1 1066510 NX8N2fJ630 Unit CTA1_08, Section CTA1_08-2 L3_DEMO 1 Formula 1 Coeff 0 2006-04-11 10:41:38.0 2006-04-11 10:41:51.0 2006-04-11 10:41:51.0 2006-04-11 10:41:51.0 13 13 1 0 0 1 Setting the y-intercept 9 1066731 OPY2Zd6SNl Unit CTA1_06, Section CTA1_06-2 FEB05 1 yScale 2006-05-09 09:56:25.0 2006-05-09 09:56:44.0 2006-05-09 09:56:44.0 2006-05-09 09:56:59.0 23 23 1 0 0 2 Changing axis intervals 8 1066892 SH1cSNDIA8 Unit CTA1_08, Section CTA1_08-3 FEB08 1 R3C2 2006-02-21 10:19:07.0 2006-02-21 10:19:28.0 2006-02-21 10:19:41.0 2006-02-21 10:19:41.0 34 34 0 1 0 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 4~~6~~1 1067036 SH1cSNDIA8 Unit ES_04, Section ES_04-7 EG56A 2 3266.41x+24096927.1879 = 6194.55 2006-02-28 10:07:07.0 2006-02-28 10:07:35.0 2006-02-28 10:07:35.0 2006-02-28 10:07:35.0 28 28 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 26 1067302 SH1cSNDIA8 Unit CTA1_10, Section CTA1_10-5 DISTFB08_SP 1 R6C2 2006-03-21 09:58:50.0 2006-03-21 09:59:30.0 2006-03-21 09:59:30.0 2006-03-21 09:59:30.0 40 40 1 0 0 1 Entering a given 54 1067482 SH1cSNDIA8 Unit ES_05, Section ES_05-8 EG61 1 10.03y = 2.13 2006-05-02 10:07:26.0 2006-05-02 10:07:38.0 2006-05-02 10:07:38.0 2006-05-02 10:07:38.0 12 12 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 36~~77 1067729 SH1cSNDIA8 Unit CTA1_14, Section CTA1_14-3 2PTS02 1 R3C2 2006-05-23 10:42:24.0 2006-05-23 10:42:43.0 2006-05-23 10:42:55.0 2006-05-23 10:42:55.0 31 31 0 1 0 1 Using simple numbers~~Using large numbers~~Write expression, two points 80~~54~~2 1067850 T4367PFG7C Unit CTA1_06, Section CTA1_06-5 FBSMR1 1 R5C2 2006-03-07 10:48:01.0 2006-03-07 10:48:13.0 2006-03-07 10:48:13.0 2006-03-07 10:48:13.0 12 12 1 0 0 1 Entering a given 26 1068156 T4367PFG7C Unit ES_03, Section ES_03-8 LIT16A 1 row1-D-z 2006-04-11 10:23:22.0 2006-04-11 10:23:25.0 2006-04-11 10:23:25.0 2006-04-11 10:23:25.0 3 3 1 0 0 1 1068354 T4367PFG7C Unit CTA1_08, Section CTA1_08-3 PERCENT12 1 R1C1 2006-05-09 10:38:01.0 2006-05-09 10:40:05.0 2006-05-09 10:40:05.0 2006-05-09 10:40:05.0 124 124 1 0 0 1 1068489 T4367PFG7C Unit ES_04, Section ES_04-6 EG55 1 9.6(x+5.6) = -9.5 2006-05-16 10:45:19.0 2006-05-16 10:45:29.0 2006-05-16 10:45:29.0 2006-05-16 10:45:29.0 10 10 1 0 0 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 12 1068705 U9iFacSl34 Unit CTA1_06, Section CTA1_06-5 FBSMR3 1 YLabel 2006-03-14 10:48:02.0 2006-03-14 10:48:20.0 2006-03-14 10:48:20.0 2006-03-14 10:48:20.0 18 18 1 0 0 1 Labelling the axes 22 1068934 U9iFacSl34 Unit ES_03, Section ES_03-6 EG51A 2 x1R1 2006-05-02 10:00:43.0 2006-05-02 10:00:55.0 2006-05-02 10:00:55.0 2006-05-02 10:00:55.0 12 12 1 0 0 1 1069161 U9iFacSl34 Unit CTA1_08, Section CTA1_08-2 BH1T04 1 Intercept Field 1 2006-05-09 10:48:34.0 2006-05-09 10:48:43.0 2006-05-09 10:48:43.0 2006-05-09 10:48:43.0 9 9 1 0 0 1 Entering the y-intercept 10 1069358 U9iFacSl34 Unit ES_04, Section ES_04-7 EG56A 2 -14.34245578 = y-1647.26 2006-05-18 10:51:06.0 2006-05-18 10:51:22.0 2006-05-18 10:51:22.0 2006-05-18 10:51:22.0 16 16 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate negative; x+a=b, negative] 49~~4 1069449 U9iFacSl34 Unit CTA1_10, Section CTA1_10-1 LDEMO_DIST_SP 1 R2C2 2006-05-23 10:39:46.0 2006-05-23 10:39:56.0 2006-05-23 10:39:56.0 2006-05-23 10:39:56.0 10 10 1 0 0 1 Identifying units 38 1069728 UEArk7W20r Unit CTA1_06, Section CTA1_06-3 BH1T43 1 R3C1 2006-04-06 17:24:19.0 2006-04-06 17:24:23.0 2006-04-06 17:24:23.0 2006-04-06 17:24:23.0 4 4 1 0 0 1 Define Variable 11 1070241 UEArk7W20r Unit ES_03, Section ES_03-8 LIT11A 1 2-n = t 2006-04-14 14:26:55.0 2006-04-14 14:27:12.0 2006-04-14 14:27:12.0 2006-04-14 14:27:12.0 17 17 1 0 0 1 1070466 UEArk7W20r Unit CTA1_08, Section CTA1_08-3 JAN12 1 XLabel 2006-04-14 17:06:21.0 2006-04-14 17:06:44.0 2006-04-14 17:06:44.0 2006-04-14 17:06:44.0 23 23 1 0 0 1 Labelling the axes 67 1070711 UEArk7W20r Unit ES_04, Section ES_04-10 EG57 4 row1-D-2y+2 2006-04-24 18:54:23.0 2006-04-24 18:54:26.0 2006-04-24 18:54:26.0 2006-04-24 18:54:26.0 3 3 1 0 0 1 1071133 UEArk7W20r Unit CTA1_10, Section CTA1_10-5 DIST05_SP 2 1/5*(B-200) = 160 2006-05-09 09:48:05.0 2006-05-09 09:48:35.0 2006-05-09 09:48:35.0 2006-05-09 09:48:35.0 30 30 1 0 0 1 1071411 UEArk7W20r Unit ES_05, Section ES_05-10 EG62 1 -0.790089y+0.1573426 = y 2006-05-18 10:35:07.0 2006-05-18 10:35:28.0 2006-05-18 10:38:35.0 2006-05-18 10:38:35.0 208 208 0 7 3 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] 22 1071701 UEArk7W20r Unit CTA1_14, Section CTA1_14-3 2PTFB12 1 60 = (4)(10)+b 2006-05-23 10:46:48.0 2006-05-23 10:46:55.0 2006-05-23 10:47:03.0 2006-05-23 10:47:03.0 15 15 0 1 0 1 1071719 verm1Wp12u Unit CTA1_04, Section CTA1_04-4 BH1T47B 2 R7C1 2006-02-28 10:40:38.0 2006-02-28 10:41:14.0 2006-03-14 10:18:13.0 2006-02-28 10:45:56.0 268 268 0 7 4 0 Using simple numbers~~Using small numbers~~Find X, negative slope 2~~2~~2 1071871 verm1Wp12u Unit ES_02, Section ES_02-8 EG41 4 4 = x/4 2006-03-21 10:13:55.0 2006-03-21 10:15:01.0 2006-03-21 10:15:01.0 2006-03-21 10:15:01.0 66 66 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 10~~15 1071931 verm1Wp12u Unit CTA1_13, Section CTA1_13-1 PROP08 1 R4C1 2006-03-21 10:28:02.0 2006-03-21 10:28:22.0 2006-03-21 10:28:22.0 2006-03-21 10:28:22.0 20 20 1 0 0 1 Entering a given 13 1072243 verm1Wp12u Unit CTA1_06, Section CTA1_06-4 L6FB19 1 R4C1 2006-04-11 10:21:39.0 2006-04-11 10:22:27.0 2006-04-11 10:22:27.0 2006-04-11 10:22:27.0 48 48 1 0 0 1 Entering a given 67 1072429 verm1Wp12u Unit ES_03, Section ES_03-5 EG53A 1 37.1y-28.5+28.5 = 20.6+28.5 2006-04-19 09:51:59.0 2006-04-19 09:52:05.0 2006-04-19 09:52:05.0 2006-04-19 09:52:05.0 6 6 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 43 1072700 verm1Wp12u Unit CTA1_08, Section CTA1_08-3 BH1T07 1 R1C2 2006-05-02 09:59:26.0 2006-05-02 09:59:37.0 2006-05-02 09:59:37.0 2006-05-02 09:59:37.0 11 11 1 0 0 1 1072966 verm1Wp12u Unit ES_04, Section ES_04-12 EG58 1 FinalAnswer 2006-05-23 10:25:26.0 2006-05-23 10:25:33.0 2006-05-23 10:25:39.0 2006-05-23 10:25:55.0 24 24 0 1 0 2 distribute-sp~~combine-like-terms-sp 13~~20 1073041 verm1Wp12u Unit CTA1_10, Section CTA1_10-2 REAL18_SP 1 R3C2 2006-05-23 10:44:51.0 2006-05-23 10:45:00.0 2006-05-23 10:45:24.0 2006-05-23 10:45:24.0 33 33 0 1 0 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 71~~39~~51 1073178 XGFd357i6u Unit ES_04, Section ES_04-15 LIT55 1 (y-3)/m+7 = x-7+7 2006-02-21 10:43:46.0 2006-02-21 10:43:50.0 2006-02-21 10:43:50.0 2006-02-21 10:43:50.0 4 4 1 0 0 1 [SkillRule: Consolidate vars, no coeff; CLT] 2 1073355 XGFd357i6u Unit CTA1_10, Section CTA1_10-4 DIST02_SP 1 R6C1 2006-04-11 10:16:09.0 2006-04-11 10:16:15.0 2006-04-11 10:16:15.0 2006-04-11 10:16:15.0 6 6 1 0 0 1 Entering a given 43 1073597 XGFd357i6u Unit ES_05, Section ES_05-9 EG62A 2 -5086.39 = 1172.18y-4475.69 2006-05-02 10:04:06.0 2006-05-02 10:04:16.0 2006-05-02 10:04:16.0 2006-05-02 10:04:16.0 10 10 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: ax+b=c, negative; ax+b=c, negative] 81~~24 1073863 XGFd357i6u Unit CTA1_14, Section CTA1_14-3 2PTS02 1 R3C2 2006-05-23 10:40:47.0 2006-05-23 10:40:59.0 2006-05-23 10:54:39.0 2006-05-23 10:54:39.0 832 832 0 10 19 1 Using simple numbers~~Using large numbers~~Write expression, two points 66~~44~~4 1073986 29U6L12O3k Unit CTA1_24, Section CTA1_24-1 L3REAL21 1 R4C1 2006-03-01 10:36:01.0 2006-03-01 10:36:08.0 2006-03-01 10:36:08.0 2006-03-01 10:36:08.0 7 7 1 0 0 1 Entering a given 37 1074026 29U6L12O3k Unit CTA1_25, Section CTA1_25-1 DEC07 1 R6C1 2006-03-01 10:48:52.0 2006-03-01 10:48:55.0 2006-03-01 10:48:55.0 2006-03-01 10:48:55.0 3 3 1 0 0 1 Using small numbers~~Find X, positive slope~~Using difficult numbers 26~~13~~23 1074095 2HCz3wr27b Unit CTA1_02, Section CTA1_02-3 BH1T39A 1 yScale 2006-03-22 10:44:43.0 2006-03-22 10:44:47.0 2006-03-22 10:44:47.0 2006-03-22 10:44:47.0 4 4 1 0 0 1 Changing axis intervals 5 1074230 42FRuGgL06 Unit CTA1_08, Section CTA1_08-2 L3_DEMO 1 Formula 1 Coeff 1 2006-03-03 10:33:39.0 2006-03-03 10:33:50.0 2006-03-03 10:33:55.0 2006-03-03 10:33:55.0 16 16 0 4 0 1 Setting the slope 8 1074305 42FRuGgL06 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS07 2 (4y^3)(y^4) 2006-03-24 10:00:27.0 2006-03-24 10:00:32.0 2006-03-24 10:00:32.0 2006-03-24 10:00:32.0 5 5 1 0 0 1 1074355 42FRuGgL06 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS02 3 (6(x^6)(y^4))/y^5 2006-03-24 10:13:11.0 2006-03-24 10:13:13.0 2006-03-24 10:13:13.0 2006-03-24 10:13:13.0 2 2 1 0 0 1 1074369 8a0vIMw4At Unit ES_01, Section ES_01-7 EG21 3 1 = 3+x 2006-03-01 09:19:03.0 2006-03-01 09:19:15.0 2006-03-01 09:19:28.0 2006-03-01 09:19:28.0 25 25 0 1 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}]~~[SkillRule: Isolate positive; x+a=b, positive] 6~~3 1074631 8a0vIMw4At Unit CTA1_08, Section CTA1_08-3 BH1T07 1 XUnit 2006-03-24 10:29:13.0 2006-03-24 10:29:16.0 2006-03-24 10:29:16.0 2006-03-24 10:29:16.0 3 3 1 0 0 1 1074713 8a0vIMw4At Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS09 3 FinalAnswer 2006-05-05 08:49:59.0 2006-05-05 08:50:06.0 2006-05-05 08:50:10.0 2006-05-05 08:50:10.0 11 11 0 1 0 1 perform-mult-sp 9 1074809 8a0vIMw4At Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS08 3 pm-r-num-node 2006-05-10 09:05:51.0 2006-05-10 09:05:56.0 2006-05-10 09:06:03.0 2006-05-10 09:06:03.0 12 12 0 2 0 1 1074935 8a0vIMw4At Unit CTA1_24, Section CTA1_24-1 PERCENT07 1 R3C1 2006-05-18 09:47:37.0 2006-05-18 09:47:40.0 2006-05-18 09:47:40.0 2006-05-18 09:47:40.0 3 3 1 0 0 1 Define Variable 29 1075034 C0qLCIhI0O Unit CTA1_08, Section CTA1_08-3 REAL37 2 R2C2 2006-03-01 10:12:37.0 2006-03-01 10:12:41.0 2006-03-01 10:12:41.0 2006-03-01 10:12:41.0 4 4 1 0 0 1 Identifying units 1 1075052 C0qLCIhI0O Unit ES_04, Section ES_04-1 EG40 2 10y = -1 2006-03-01 10:21:16.0 2006-03-01 10:21:23.0 2006-03-01 10:21:23.0 7 7 0 1 0 0 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 1~~2 1075098 C0qLCIhI0O Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 1 constant factors1R1 2006-03-01 10:48:02.0 2006-03-01 10:48:05.0 2006-03-01 10:48:05.0 2006-03-01 10:48:05.0 3 3 1 0 0 1 1075308 C0qLCIhI0O Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01 2 FinalAnswer 2006-03-22 10:07:54.0 2006-03-22 10:08:42.0 2006-03-22 10:08:42.0 2006-03-22 10:08:42.0 48 48 1 0 0 1 simplify-fractions-sp 29 1075314 C0qLCIhI0O Unit CTA1_24, Section CTA1_24-1 L5FB05 1 R4C2 2006-04-26 10:40:29.0 2006-04-26 10:40:36.0 2006-04-26 10:40:36.0 2006-04-26 10:40:36.0 7 7 1 0 0 1 Entering a given 1 1075320 cI0EPqbE61 Unit CTA1_08, Section CTA1_08-3 L5FB02 1 yMax 2006-03-01 09:47:23.0 2006-03-01 09:47:36.0 2006-03-01 09:48:16.0 2006-03-01 09:48:16.0 47 47 0 2 0 1 Changing axis bounds 2 1075348 cI0EPqbE61 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS07 2 FinalAnswer 2006-05-12 10:20:14.0 2006-05-12 10:21:03.0 2006-05-12 10:21:03.0 2006-05-12 10:21:03.0 49 49 1 0 0 1 perform-mult-sp 12 1075420 cI0EPqbE61 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01 1 row1-N-x 2006-05-12 10:46:51.0 2006-05-12 10:47:33.0 2006-05-12 10:47:40.0 2006-05-12 10:47:40.0 46 46 0 1 0 1 1075468 CsX7j87xZ7 Unit CTA1_01, Section CTA1_01-4 JAN04C 2 R5C1 2006-03-03 09:56:14.0 2006-03-03 09:56:38.0 2006-03-03 09:56:38.0 2006-03-03 09:56:38.0 24 24 1 0 0 1 Entering a given~~Convert unit, standard 6~~1 1075545 CsX7j87xZ7 Unit CTA1_02, Section CTA1_02-2 BH1T35C 1 Point 1.2 2006-03-03 10:43:02.0 2006-03-03 10:43:15.0 2006-03-03 10:43:15.0 13 13 0 0 1 0 Correctly placing points 2 1075779 DkXJps09H6 Unit CTA1_02, Section CTA1_02-4 REAL19B 1 R7C2 2006-02-21 10:40:55.0 2006-02-21 10:41:08.0 2006-02-21 10:41:08.0 2006-02-21 10:41:08.0 13 13 1 0 0 1 Using simple numbers~~Using large numbers~~Find Y, negative slope 49~~26~~7 1076056 DkXJps09H6 Unit ES_01, Section ES_01-8 EG23 3 5 = 2x 2006-02-22 09:07:27.0 2006-02-22 09:07:34.0 2006-02-22 09:07:34.0 2006-02-22 09:07:34.0 7 7 1 0 0 1 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 5~~10 1076131 DkXJps09H6 Unit CTA1_04, Section CTA1_04-2 REAL13A 1 R6C1 2006-02-22 09:42:07.0 2006-02-22 09:42:17.0 2006-02-22 09:42:17.0 2006-02-22 09:42:17.0 10 10 1 0 0 1 Using simple numbers~~Using large numbers~~Find X, positive slope 61~~33~~7 1076249 DkXJps09H6 Unit CTA1_08, Section CTA1_08-2 REAL00 1 Formula 1 Coeff 1 2006-05-05 10:28:12.0 2006-05-05 10:28:16.0 2006-05-05 10:28:21.0 2006-05-05 10:28:21.0 9 9 0 3 0 1 Setting the slope 9 1076381 DkXJps09H6 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-2 EG-EPS07 6 (3y^3)(y^4) 2006-05-10 10:08:19.0 2006-05-10 10:08:26.0 2006-05-10 10:08:26.0 2006-05-10 10:08:26.0 7 7 1 0 0 1 1076415 DkXJps09H6 Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS09 2 (4y^5)/(4y^2) 2006-05-10 10:26:34.0 2006-05-10 10:26:37.0 2006-05-10 10:26:37.0 2006-05-10 10:26:37.0 3 3 1 0 0 1 1076489 E1PaKK3181 Unit CTA1_02, Section CTA1_02-4 L2FB14C 1 xMax 2006-03-24 10:00:33.0 2006-03-24 10:00:58.0 2006-03-24 10:00:58.0 2006-03-24 10:00:58.0 25 25 1 0 0 1 Changing axis bounds 5 1076658 E1PaKK3181 Unit CTA1_08, Section CTA1_08-2 FEB09 1 Slope Field 1 2006-05-12 10:59:55.0 2006-05-12 11:00:03.0 2006-05-12 11:00:03.0 2006-05-12 11:00:03.0 8 8 1 0 0 1 Entering the slope 9 1076816 E1PaKK3181 Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01-FIXED 1 (4(x^2)(y^4))(3(x^3)(y^3)) 2006-05-22 10:32:04.0 2006-05-22 10:32:14.0 2006-05-22 10:32:14.0 2006-05-22 10:32:14.0 10 10 1 0 0 1 1076841 e95f4UtF4I Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01-FIXED 1 FinalAnswer 2006-03-22 09:50:01.0 2006-03-22 09:50:27.0 2006-03-22 09:50:27.0 2006-03-22 09:50:27.0 26 26 1 0 0 1 perform-mult-sp 11 1076862 e95f4UtF4I Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS08 1 2/1 2006-03-22 09:56:28.0 2006-03-22 09:56:36.0 2006-03-22 09:56:36.0 2006-03-22 09:56:36.0 8 8 1 0 0 1 1076891 e95f4UtF4I Unit CTA1_24, Section CTA1_24-1 PERCENT07 1 R6C2 2006-04-26 10:36:47.0 2006-04-26 10:36:55.0 2006-04-26 10:36:55.0 2006-04-26 10:36:55.0 8 8 1 0 0 1 Entering a given 6 1077074 emTkxI1340 Unit CTA1_08, Section CTA1_08-3 PERCENT12 1 R3C1 2006-05-12 10:42:53.0 2006-05-12 10:43:01.0 2006-05-12 10:43:01.0 2006-05-12 10:43:01.0 8 8 1 0 0 1 Define Variable 11 1077181 emTkxI1340 Unit ES_04, Section ES_04-1 EG4-FIXED 1 3(x+2) = 15 2006-05-19 10:49:04.0 2006-05-19 10:50:30.0 2006-05-19 10:54:15.0 311 311 0 6 0 0 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] 1 1077188 EWo6L00OAS Unit CTA1_04, Section CTA1_04-2 BH1T10C 1 R5C1 2006-02-24 08:18:08.0 2006-02-24 08:19:53.0 2006-02-24 08:19:53.0 2006-02-24 08:19:53.0 105 105 1 0 0 1 Entering a given 2 1077367 EWo6L00OAS Unit CTA1_08, Section CTA1_08-3 NOV13 1 R3C1 2006-03-03 10:23:37.0 2006-03-03 10:23:40.0 2006-03-03 10:23:40.0 2006-03-03 10:23:40.0 3 3 1 0 0 1 Define Variable 15 1077531 EWo6L00OAS Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 2 FinalAnswer 2006-03-22 10:31:20.0 2006-03-22 10:31:39.0 2006-03-22 10:31:39.0 2006-03-22 10:31:39.0 19 19 1 0 0 1 perform-mult-sp 27 1077804 EWo6L00OAS Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS01 1 (4(x^4)(y^2))/(4(x^4)(y^2)) 2006-05-10 09:56:58.0 2006-05-10 09:57:03.0 2006-05-10 09:57:03.0 2006-05-10 09:57:03.0 5 5 1 0 0 1 1077905 gv1l9iqcam Unit CTA1_02, Section CTA1_02-4 REAL28 1 XLabel 2006-03-03 09:29:01.0 2006-03-03 09:29:07.0 2006-03-03 09:29:07.0 2006-03-03 09:29:07.0 6 6 1 0 0 1 Labelling the axes 10 1077956 gv1l9iqcam Unit ES_01, Section ES_01-4 EG7 1 x = 13*8 2006-03-03 09:37:28.0 2006-03-03 09:37:38.0 2006-03-03 09:37:38.0 2006-03-03 09:37:38.0 10 10 1 0 0 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] 4 1078100 gv1l9iqcam Unit CTA1_08, Section CTA1_08-2 REAL31 1 Formula 1 Coeff 0 2006-03-22 10:11:00.0 2006-03-22 10:11:06.0 2006-03-22 10:11:06.0 2006-03-22 10:11:06.0 6 6 1 0 0 1 Setting the y-intercept 9 1078259 gv1l9iqcam Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 1 constant factorsR2 2006-03-24 10:11:06.0 2006-03-24 10:11:09.0 2006-03-24 10:11:09.0 2006-03-24 10:11:09.0 3 3 1 0 0 1 perform-mult-row2-sp 12 1078340 gv1l9iqcam Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS02 3 (4(x^2)(y^4))/y^6 2006-03-24 10:41:16.0 2006-03-24 10:41:19.0 2006-03-24 10:41:19.0 2006-03-24 10:41:19.0 3 3 1 0 0 1 1078373 HujcxU5LVb Unit CTA1_08, Section CTA1_08-3 BH1T07 1 Intercept Field 1 2006-03-01 10:29:27.0 2006-03-01 10:29:41.0 2006-03-01 10:30:09.0 2006-03-01 10:30:09.0 42 42 0 3 3 1 Entering the y-intercept 2 1078406 HujcxU5LVb Unit ES_04, Section ES_04-1 EG40 4 -5/3 = y+8/3 2006-03-01 10:39:19.0 2006-03-01 10:39:29.0 2006-03-01 10:39:29.0 2006-03-01 10:39:29.0 10 10 1 0 0 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] 5 1078449 HujcxU5LVb Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS03 1 (5(x^6)(y^4))(y^4) 2006-03-01 10:49:44.0 2006-03-01 10:49:49.0 2006-03-01 10:49:49.0 2006-03-01 10:49:49.0 5 5 1 0 0 1 1078772 HujcxU5LVb Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-3 EG-EQS03 3 FinalAnswer 2006-03-22 09:58:48.0 2006-03-22 09:59:08.0 2006-03-22 09:59:08.0 2006-03-22 09:59:08.0 20 20 1 0 0 1 simplify-fractions-sp 31 1078787 HujcxU5LVb Unit CTA1_20, Section CTA1_20-1 2PTS03 1 R1C1 2006-03-22 10:05:11.0 2006-03-22 10:06:34.0 2006-03-22 10:06:34.0 83 83 0 1 0 0 1078797 HujcxU5LVb Unit CTA1_24, Section CTA1_24-1 NOV05 1 R6C2 2006-04-26 10:35:56.0 2006-04-26 10:36:15.0 2006-04-26 10:36:15.0 2006-04-26 10:36:15.0 19 19 1 0 0 1 Entering a given 3 1078861 JP20cryBg8 Unit CTA1_24, Section CTA1_24-1 NOV05 1 R7C1 2006-04-12 10:21:07.0 2006-04-12 10:21:16.0 2006-04-12 10:22:17.0 2006-04-12 10:22:17.0 70 70 0 3 4 1 Entering a given~~Convert unit, standard 23~~2 1078981 N18G8VLF9v Unit CTA1_02, Section CTA1_02-4 L2FB14 1 YLabel 2006-03-01 10:11:25.0 2006-03-01 10:11:36.0 2006-03-01 10:11:36.0 2006-03-01 10:11:36.0 11 11 1 0 0 1 Labelling the axes 8 1079009 N18G8VLF9v Unit ES_01, Section ES_01-2 EG4 1 FinalAnswer 2006-03-01 10:21:21.0 2006-03-01 10:21:31.0 2006-03-01 10:21:31.0 2006-03-01 10:21:39.0 11 11 1 0 0 2 perform-mult-sp~~combine-like-terms-whole-sp 2~~2 1079224 N18G8VLF9v Unit CTA1_08, Section CTA1_08-3 PERCENT12 1 R3C2 2006-03-03 10:19:13.0 2006-03-03 10:19:23.0 2006-03-03 10:19:52.0 2006-03-03 10:19:52.0 39 39 0 1 5 1 Using small numbers~~Write expression, positive slope~~Using difficult numbers 14~~11~~8 1079365 N18G8VLF9v Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS02 2 (4(x^3)(y^4))(2y^5) 2006-03-22 10:36:34.0 2006-03-22 10:36:38.0 2006-03-22 10:36:38.0 2006-03-22 10:36:38.0 4 4 1 0 0 1 1079404 N18G8VLF9v Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS08 3 (5x^6)/(5x^5) 2006-03-24 09:55:00.0 2006-03-24 09:56:13.0 2006-03-24 09:56:13.0 2006-03-24 09:56:13.0 73 73 1 0 0 1 1079446 nA15DeLBE1 Unit CTA1_01, Section CTA1_01-4 JAN13C 1 R3C2 2006-03-01 09:52:11.0 2006-03-01 09:52:25.0 2006-03-01 09:52:25.0 2006-03-01 09:52:25.0 14 14 1 0 0 1 Using simple numbers~~Write expression, positive slope~~Using large numbers 7~~2~~7 1079562 nA15DeLBE1 Unit CTA1_02, Section CTA1_02-3 L3NOV12A 1 R2C2 2006-05-03 10:47:25.0 2006-05-03 10:47:29.0 2006-05-03 10:47:29.0 2006-05-03 10:47:29.0 4 4 1 0 0 1 Identifying units 12 1079734 pVG9cgOpCR Unit CTA1_08, Section CTA1_08-3 L5FB02 1 R2C2 2006-05-10 10:42:19.0 2006-05-10 10:42:23.0 2006-05-10 10:42:23.0 2006-05-10 10:42:23.0 4 4 1 0 0 1 Identifying units 15 1079778 pVG9cgOpCR Unit ES_04, Section ES_04-1 EG4-FIXED 1 3(x+2)/3 = 15/3 2006-05-12 10:24:23.0 2006-05-12 10:24:35.0 2006-05-12 10:24:35.0 2006-05-12 10:25:13.0 50 50 1 1 0 2 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] 1 1079814 pVG9cgOpCR Unit EXPT-PRODUCT-SIMP-A_ES, Section EXPT-PRODUCT-SIMPLIFYING-A_ES-3 EG-EPS01 2 (4(x^4)(y^3))(4(x^3)(y^6)) 2006-05-12 10:39:49.0 2006-05-12 10:39:54.0 2006-05-12 10:39:54.0 2006-05-12 10:39:54.0 5 5 1 0 0 1 1079843 pVG9cgOpCR Unit EXPT-QUOTIENT-SIMP-A_ES, Section EXPT-QUOTIENT-SIMPLIFYING-A_ES-2 EG-EQS08 2 FinalAnswer 2006-05-12 10:51:42.0 2006-05-12 10:51:48.0 2006-05-12 10:52:11.0 2006-05-12 10:52:11.0 29 29 0 2 0 1 simplify-fractions-sp 13 1080247 w0FMzJORlK Unit QuadLinearFuncTrans, Section QLFuncTrans8 TRANSFORMG052 1 ALGEBRAIC-TRANSFORMATIONS-a 2006-03-03 10:09:32.0 2006-03-03 10:09:35.0 2006-03-03 10:09:35.0 2006-03-03 10:09:35.0 1 1 1 0 0 1 Edit Algebraic a 19 1080531 1iPV6aca5w Unit ES_01, Section ES_01-9 EG24 1 -8x = 1 2006-03-09 10:18:50.0 2006-03-09 10:19:16.0 2006-03-09 10:19:16.0 2006-03-09 10:19:16.0 26 26 1 0 0 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 8~~4 1080590 66l1WHbu0M Unit ES_02, Section ES_02-5 EG40 6 3x = 5 2006-03-07 10:36:01.0 2006-03-07 10:36:09.0 2006-03-07 10:36:30.0 2006-03-07 10:37:11.0 52 52 0 2 6 2 [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}]~~[SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] 3~~8 1080617 IQQo3367x0 Unit ES_02, Section ES_02-5 EG40 5 -2+5x+2 = 8+2 2006-03-09 10:59:18.0 2006-03-09 10:59:25.0 2006-03-09 10:59:25.0 2006-03-09 10:59:25.0 7 7 1 0 0 1 [SkillRule: Consolidate vars with coeff; CLT] 7