algebra_2005_2006.zip

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) 1 0BrbPbwCMz Unit ES_04, Section ES_04-1 EG4-FIXED 1 3(x+2) = 15 2005-09-09 12:24:35.0 2005-09-09 12:24:49.0 2005-09-09 12:25:15.0 2005-09-09 12:25:15.0 40 40 0 2 3 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}] 1 2 0BrbPbwCMz Unit ES_04, Section ES_04-1 EG4-FIXED 1 x+2 = 5 2005-09-09 12:25:15.0 2005-09-09 12:25:31.0 2005-09-09 12:25:31.0 2005-09-09 12:25:31.0 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 positive; x+a=b, positive] 1~~1 3 0BrbPbwCMz Unit ES_04, Section ES_04-1 EG40 1 2-8y = -4 2005-09-09 12:25:36.0 2005-09-09 12:25:43.0 2005-09-09 12:26:12.0 2005-09-09 12:26:12.0 36 36 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}] 2 4 0BrbPbwCMz Unit ES_04, Section ES_04-1 EG40 1 -8y = -6 2005-09-09 12:26:12.0 2005-09-09 12:26:34.0 2005-09-09 12:26:34.0 2005-09-09 12:26:34.0 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}]~~[SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] 1~~1 5 0BrbPbwCMz Unit ES_04, Section ES_04-1 EG40 2 -7y-5 = -4 2005-09-09 12:26:38.0 2005-09-09 12:28:36.0 2005-09-09 12:28:36.0 2005-09-09 12:28:36.0 118 118 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] 3~~1 6 0BrbPbwCMz Unit ES_04, Section ES_04-1 EG40 2 -7y = 1 2005-09-09 12:28:36.0 2005-09-09 12:28:43.0 2005-09-09 12:28:51.0 2005-09-09 12:28:51.0 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}] 2~~2 7 0BrbPbwCMz Unit ES_04, Section ES_04-1 EG40 3 7y+4 = 7 2005-09-09 12:28:57.0 2005-09-09 12:29:09.0 2005-09-09 12:29:09.0 2005-09-09 12:29:09.0 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}] 4 8 0BrbPbwCMz Unit ES_04, Section ES_04-1 EG40 3 7y = 3 2005-09-09 12:29:09.0 2005-09-09 12:29:14.0 2005-09-09 12:29:14.0 2005-09-09 12:29:14.0 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}] 1~~3 9 0BrbPbwCMz Unit ES_04, Section ES_04-1 EG40 4 -5+9y = -6 2005-09-09 12:29:19.0 2005-09-09 12:29:31.0 2005-09-09 12:29:31.0 2005-09-09 12:29:31.0 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: ax+b=c, negative; ax+b=c, negative] 5~~2 10 0BrbPbwCMz Unit ES_04, Section ES_04-1 EG40 4 9y = -1 2005-09-09 12:29:31.0 2005-09-09 12:29:36.0 2005-09-09 12:29:36.0 2005-09-09 12:29:36.0 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}] 2~~4 11 0BrbPbwCMz Unit ES_04, Section ES_04-2 EG40 1 -7-3x = -2 2005-09-09 12:29:41.0 2005-09-09 12:30:27.0 2005-09-09 12:30:27.0 2005-09-09 12:30:27.0 46 46 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] 6~~3 12 0BrbPbwCMz Unit ES_04, Section ES_04-2 EG40 1 -7-3x+7 = -2+7 2005-09-09 12:30:27.0 2005-09-09 12:30:34.0 2005-09-09 12:30:45.0 2005-09-09 12:30:49.0 22 22 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}]] 1 13 0BrbPbwCMz Unit ES_04, Section ES_04-2 EG40 1 -3x = 5 2005-09-09 12:30:49.0 2005-09-09 12:31:04.0 2005-09-09 12:31:04.0 2005-09-09 12:31:04.0 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}] 5~~3 14 0BrbPbwCMz Unit ES_04, Section ES_04-2 EG40 1 -3x/-3 = 5/-3 2005-09-09 12:31:04.0 2005-09-09 12:31:07.0 2005-09-09 12:31:07.0 2005-09-09 12:31:12.0 8 8 1 0 0 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] 1 15 0BrbPbwCMz Unit ES_04, Section ES_04-2 EG40 2 -9 = 8y+9 2005-09-09 12:31:16.0 2005-09-09 12:31:29.0 2005-09-09 12:31:29.0 2005-09-09 12:31:29.0 13 13 1 0 0 1 [SkillRu