Complete the statement with < or >.
$c <1> $a @
qu.3.2.blank.1=%3c@
qu.3.2.extra=@
qu.3.2.format.input=text@
qu.4.topic=2_1 Greater/Less Multiple Select@
qu.4.1.mode=Multiple Selection@
qu.4.1.name=1 Correct@
qu.4.1.comment=The only correct statement is:
$e > $d
All other statements are false. @
qu.4.1.editing=useHTML@
qu.4.1.algorithm=$a=range(-100,-60,1);
$b=range(-59,-20,1);
$c=range(-19,-10,1);
$d=range(-9, -1, 1);
$e=range(1,9,1);
$f=range(10,19,1);
$g=range(20,50,1);
$h=range(51,100,1);@
qu.4.1.question=Check the box beside each statement which is correct.@
qu.4.1.answer=3@
qu.4.1.choice.1=$a > $b @
qu.4.1.choice.2=$b > $c @
qu.4.1.choice.3=$e > $d @
qu.4.1.choice.4=$d < $c @
qu.4.2.mode=Multiple Selection@
qu.4.2.name=2 Correct@
qu.4.2.comment=
The correct statements are:
$b < $c
$c < $e
All other statements are false.\@@
qu.4.2.editing=useHTML@
qu.4.2.algorithm=$a=range(-100,-60,1);
$b=range(-59,-20,1);
$c=range(-19,-10,1);
$d=range(-9, -1, 1);
$e=range(1,9,1);
$f=range(10,19,1);
$g=range(20,50,1);
$h=range(51,100,1);@
qu.4.2.question=Check the box beside each statement which is correct.@
qu.4.2.answer=2, 3@
qu.4.2.choice.1=$a > $b @
qu.4.2.choice.2=$b < $c @
qu.4.2.choice.3=$c < $e @
qu.4.2.choice.4=$d > $f @
qu.4.3.mode=Multiple Selection@
qu.4.3.name=3 Correct@
qu.4.3.comment=
The correct statements are:
$c < $d
$d < $e
$c > $b
All other statements are false.@
qu.4.3.editing=useHTML@
qu.4.3.algorithm=$a=range(-100,-60,1);
$b=range(-59,-20,1);
$c=range(-19,-10,1);
$d=range(-9, -1, 1);
$e=range(1,9,1);
$f=range(10,19,1);
$g=range(20,50,1);
$h=range(51,100,1);@
qu.4.3.question=Check the box beside each statement which is correct.@
qu.4.3.answer=1, 2, 3@
qu.4.3.choice.1=$c > $b @
qu.4.3.choice.2=$c < $d @
qu.4.3.choice.3=$d < $e @
qu.4.3.choice.4=$d > $f @
qu.4.4.mode=Multiple Selection@
qu.4.4.name=4 Correct@
qu.4.4.comment=
All statements are correct:
$c > $a
$d < $e
$c < $e
$g > $f@
qu.4.4.editing=useHTML@
qu.4.4.algorithm=$a=range(-100,-60,1);
$b=range(-59,-20,1);
$c=range(-19,-10,1);
$d=range(-9, -1, 1);
$e=range(1,9,1);
$f=range(10,19,1);
$g=range(20,50,1);
$h=range(51,100,1);@
qu.4.4.question=Check the box beside each statement which is correct.@
qu.4.4.answer=1, 2, 3, 4@
qu.4.4.choice.1=$c > $a @
qu.4.4.choice.2=$d < $e @
qu.4.4.choice.3=$c < $e @
qu.4.4.choice.4=$g > $f @
qu.5.topic=2_2 Sum of 2 numbers(12 Max)@
qu.5.1.question=Find the sum.
$a + $b =@
qu.5.1.answer.num=$ans@
qu.5.1.answer.units=@
qu.5.1.showUnits=false@
qu.5.1.grading=exact_value@
qu.5.1.negStyle=minus@
qu.5.1.numStyle=thousands scientific dollars arithmetic@
qu.5.1.mode=Numeric@
qu.5.1.name=Pos + Pos(12 max)@
qu.5.1.comment=
Find the sum.
$a + $b =
Both numbers are positive.
Add the numbers.
$a + $b = $ans
@
qu.5.1.editing=useHTML@
qu.5.1.algorithm=$a=range(1,12,1);
$b=range(1,12,1);
$ans=$a+$b;@
qu.5.2.question=Find the sum.
$a + ($b) =@
qu.5.2.answer.num=$ans@
qu.5.2.answer.units=@
qu.5.2.showUnits=false@
qu.5.2.grading=exact_value@
qu.5.2.negStyle=minus@
qu.5.2.numStyle=thousands scientific dollars arithmetic@
qu.5.2.mode=Numeric@
qu.5.2.name=Neg + Neg(12 max)@
qu.5.2.comment=The numbers are both negative.
Add the absolute value of the numbers and use the negative sign.
-(${abs($a)} + ${abs($b)}) =
$ans@
qu.5.2.editing=useHTML@
qu.5.2.algorithm=$a=range(-12,-1,1);
$b=range(-12,-1,1);
$ans=$a+$b;@
qu.5.3.question=Find the sum.
$a + $b =@
qu.5.3.answer.num=$ans@
qu.5.3.answer.units=@
qu.5.3.showUnits=false@
qu.5.3.grading=exact_value@
qu.5.3.negStyle=minus@
qu.5.3.numStyle=thousands scientific dollars arithmetic@
qu.5.3.mode=Numeric@
qu.5.3.name=Neg + Pos(12 max)@
qu.5.3.comment=Find the sum.
$a + $b =
The numbers are different signs.
Subtract the smaller absolute value from the larger absolute value.
Use the sign of the larger absolute value number.
${if(gt($l,0),"+","-")}(${abs($l)} − ${abs($s)})
$ans
@
qu.5.3.editing=useHTML@
qu.5.3.algorithm=$a=range(-12,-1,1);
$b=range(1,12,1);
$ans=$a+$b;
$l=if(gt(abs($a),abs($b)),$a,$b);
$s=if(gt(abs($a),abs($b)),$b,$a);@
qu.5.4.question=Find the sum.
$a + ($b) =@
qu.5.4.answer.num=$ans@
qu.5.4.answer.units=@
qu.5.4.showUnits=false@
qu.5.4.grading=exact_value@
qu.5.4.negStyle=minus@
qu.5.4.numStyle=thousands scientific dollars arithmetic@
qu.5.4.mode=Numeric@
qu.5.4.name=Pos + Neg(12 max)@
qu.5.4.comment=Find the sum.
$a + ($b) =
The numbers are different signs.
Subtract the smaller absolute value from the larger absolute value.
Use the sign of the larger absolute value number.
${if(gt($l,0),"+","-")}(${abs($l)} − ${abs($s)})
$ans
@
qu.5.4.editing=useHTML@
qu.5.4.algorithm=$b=range(-12,-1,1);
$a=range(1,12,1);
$ans=$a+$b;
$l=if(gt(abs($a),abs($b)),$a,$b);
$s=if(gt(abs($a),abs($b)),$b,$a);@
qu.6.topic=2_2 Sum of 3 numbers (12 max)@
qu.6.1.question=Find the sum.
$a + $b + ($c) =@
qu.6.1.answer.num=$ans@
qu.6.1.answer.units=@
qu.6.1.showUnits=false@
qu.6.1.grading=exact_value@
qu.6.1.negStyle=minus@
qu.6.1.numStyle=thousands scientific dollars arithmetic@
qu.6.1.mode=Numeric@
qu.6.1.name=Neg + Pos + Neg(12 max)@
qu.6.1.comment=Find the sum.
$a + $b + ($c) =
Add from left to right. Add the first two numbers $a + $b.
$ab + ($c) =
$ans
@
qu.6.1.editing=useHTML@
qu.6.1.algorithm=$a=range(-12,-1,1);
$b=range(0,12,1);
$ab=$a+$b;
$c=range(-12,-1,1);
$ans=$a+$b+$c;@
qu.6.2.question=Find the sum.
$a + ($b) + $c =@
qu.6.2.answer.num=$ans@
qu.6.2.answer.units=@
qu.6.2.showUnits=false@
qu.6.2.grading=exact_value@
qu.6.2.negStyle=minus@
qu.6.2.numStyle=thousands scientific dollars arithmetic@
qu.6.2.mode=Numeric@
qu.6.2.name=Pos + Neg + Pos (12 max)@
qu.6.2.comment=Find the sum.
$a + ($b) + $c =
Add from left to right. Add the first two numbers $a + ($b).
$ab + $c =
$ans
@
qu.6.2.editing=useHTML@
qu.6.2.algorithm=$a=range(1,12,1);
$b=range(-12,-1,1);
$ab=$a+$b;
$c=range(1,12,1);
$ans=$a+$b+$c;@
qu.6.3.question=Find the sum.
$a + ($b) + ($c) =@
qu.6.3.answer.num=$ans@
qu.6.3.answer.units=@
qu.6.3.showUnits=false@
qu.6.3.grading=exact_value@
qu.6.3.negStyle=minus@
qu.6.3.numStyle=thousands scientific dollars arithmetic@
qu.6.3.mode=Numeric@
qu.6.3.name=Pos + Neg + Neg (12 max)@
qu.6.3.comment=Find the sum.
$a + ($b) + ($c) =
Add from left to right. Add the first two numbers $a + ($b).
$ab + ($c) =
$ans
@
qu.6.3.editing=useHTML@
qu.6.3.algorithm=$a=range(1,12,1);
$b=range(-12,-1,1);
$ab=$a+$b;
$c=range(-12,-1,1);
$ans=$a+$b+$c;@
qu.6.4.question=Find the sum.
$a + $b + $c =@
qu.6.4.answer.num=$ans@
qu.6.4.answer.units=@
qu.6.4.showUnits=false@
qu.6.4.grading=exact_value@
qu.6.4.negStyle=minus@
qu.6.4.numStyle=thousands scientific dollars arithmetic@
qu.6.4.mode=Numeric@
qu.6.4.name=Neg + Pos + Pos(12 max)@
qu.6.4.comment=Find the sum.
$a + $b + $c =
Add from left to right. Add the first two numbers $a + $b.
$ab + $c =
$ans
@
qu.6.4.editing=useHTML@
qu.6.4.algorithm=$a=range(-12,-1,1);
$b=range(0,12,1);
$ab=$a+$b;
$c=range(1,12,1);
$ans=$a+$b+$c;@
qu.6.5.question=Find the sum.
$a + ($b) + ($c) =@
qu.6.5.answer.num=$ans@
qu.6.5.answer.units=@
qu.6.5.showUnits=false@
qu.6.5.grading=exact_value@
qu.6.5.negStyle=minus@
qu.6.5.numStyle=thousands scientific dollars arithmetic@
qu.6.5.mode=Numeric@
qu.6.5.name=Neg + Neg + Neg (12 max)@
qu.6.5.comment=Find the sum.
$a + ($b) + ($c) =
Add from left to right. Add the first two numbers $a + ($b).
$ab + ($c) =
$ans
@
qu.6.5.editing=useHTML@
qu.6.5.algorithm=$a=range(-12,-1,1);
$b=range(-12,-1,1);
$ab=$a+$b;
$c=range(-12,-1,1);
$ans=$a+$b+$c;@
qu.7.topic=2_2 Sum of 2 numbers(110 Max)@
qu.7.1.question=Find the sum.
$a + $b =@
qu.7.1.answer.num=$ans@
qu.7.1.answer.units=@
qu.7.1.showUnits=false@
qu.7.1.grading=exact_value@
qu.7.1.negStyle=minus@
qu.7.1.numStyle=thousands scientific dollars arithmetic@
qu.7.1.mode=Numeric@
qu.7.1.name=Pos + Pos(110 max)@
qu.7.1.comment=Find the sum.
$a + $b =
Both numbers are positive.
Add the numbers.
$a + $b = $ans
@
qu.7.1.editing=useHTML@
qu.7.1.algorithm=$a=range(1,110,1);
$b=range(1,110,1);
$ans=$a+$b;@
qu.7.2.question=Find the sum.
$a + ($b) =@
qu.7.2.answer.num=$ans@
qu.7.2.answer.units=@
qu.7.2.showUnits=false@
qu.7.2.grading=exact_value@
qu.7.2.negStyle=minus@
qu.7.2.numStyle=thousands scientific dollars arithmetic@
qu.7.2.mode=Numeric@
qu.7.2.name=Neg + Neg(110 max)@
qu.7.2.comment=The numbers are both negative.
Add the absolute value of the numbers and use the negative sign.
-(${abs($a)} + ${abs($b)}) =
$ans@
qu.7.2.editing=useHTML@
qu.7.2.algorithm=$a=range(-110,-1,1);
$b=range(-110,-1,1);
$ans=$a+$b;@
qu.7.3.question=Find the sum.
$a + $b =@
qu.7.3.answer.num=$ans@
qu.7.3.answer.units=@
qu.7.3.showUnits=false@
qu.7.3.grading=exact_value@
qu.7.3.negStyle=minus@
qu.7.3.numStyle=thousands scientific dollars arithmetic@
qu.7.3.mode=Numeric@
qu.7.3.name=Neg + Pos(110 max)@
qu.7.3.comment=Find the sum.
$a + $b =
The numbers are different signs.
Subtract the smaller absolute value from the larger absolute value.
Use the sign of the larger absolute value number.
${if(gt($l,0),"+","-")}(${abs($l)} − ${abs($s)})
$ans
@
qu.7.3.editing=useHTML@
qu.7.3.algorithm=$a=range(-110,-1,1);
$b=range(1,110,1);
$ans=$a+$b;
$l=if(gt(abs($a),abs($b)),$a,$b);
$s=if(gt(abs($a),abs($b)),$b,$a);@
qu.7.4.question=Find the sum.
$a + ($b) =@
qu.7.4.answer.num=$ans@
qu.7.4.answer.units=@
qu.7.4.showUnits=false@
qu.7.4.grading=exact_value@
qu.7.4.negStyle=minus@
qu.7.4.numStyle=thousands scientific dollars arithmetic@
qu.7.4.mode=Numeric@
qu.7.4.name=Pos + Neg(110 max)@
qu.7.4.comment=Find the sum.
$a + ($b) =
The numbers are different signs.
Subtract the smaller absolute value from the larger absolute value.
Use the sign of the larger absolute value number.
${if(gt($l,0),"+","-")}(${abs($l)} − ${abs($s)})
$ans
@
qu.7.4.editing=useHTML@
qu.7.4.algorithm=$b=range(-110,-1,1);
$a=range(1,110,1);
$ans=$a+$b;
$l=if(gt(abs($a),abs($b)),$a,$b);
$s=if(gt(abs($a),abs($b)),$b,$a);@
qu.8.topic=2_2 Sum of 3 numbers (110 max)@
qu.8.1.question=Find the sum.
$a + $b + ($c) =@
qu.8.1.answer.num=$ans@
qu.8.1.answer.units=@
qu.8.1.showUnits=false@
qu.8.1.grading=exact_value@
qu.8.1.negStyle=minus@
qu.8.1.numStyle=thousands scientific dollars arithmetic@
qu.8.1.mode=Numeric@
qu.8.1.name=Neg + Pos + Neg(110 max)@
qu.8.1.comment=Find the sum.
$a + $b + ($c) =
Add from left to right. Add the first two numbers $a + $b.
$ab + ($c) =
$ans
@
qu.8.1.editing=useHTML@
qu.8.1.algorithm=$a=range(-110,-1,1);
$b=range(0,110,1);
$ab=$a+$b;
$c=range(-110,-1,1);
$ans=$a+$b+$c;@
qu.8.2.question=Find the sum.
$a + ($b) + $c =@
qu.8.2.answer.num=$ans@
qu.8.2.answer.units=@
qu.8.2.showUnits=false@
qu.8.2.grading=exact_value@
qu.8.2.negStyle=minus@
qu.8.2.numStyle=thousands scientific dollars arithmetic@
qu.8.2.mode=Numeric@
qu.8.2.name=Pos + Neg + Pos (110 max)@
qu.8.2.comment=Find the sum.
$a + ($b) + $c =
Add from left to right. Add the first two numbers $a + ($b).
$ab + $c =
$ans
@
qu.8.2.editing=useHTML@
qu.8.2.algorithm=$a=range(1,110,1);
$b=range(-110,-1,1);
$ab=$a+$b;
$c=range(1,110,1);
$ans=$a+$b+$c;@
qu.8.3.question=Find the sum.
$a + ($b) + ($c) =@
qu.8.3.answer.num=$ans@
qu.8.3.answer.units=@
qu.8.3.showUnits=false@
qu.8.3.grading=exact_value@
qu.8.3.negStyle=minus@
qu.8.3.numStyle=thousands scientific dollars arithmetic@
qu.8.3.mode=Numeric@
qu.8.3.name=Pos + Neg + Neg (110 max)@
qu.8.3.comment=Find the sum.
$a + ($b) + ($c) =
Add from left to right. Add the first two numbers $a + ($b).
$ab + ($c) =
$ans
@
qu.8.3.editing=useHTML@
qu.8.3.algorithm=$a=range(1,110,1);
$b=range(-110,-1,1);
$ab=$a+$b;
$c=range(-110,-1,1);
$ans=$a+$b+$c;@
qu.8.4.question=Find the sum.
$a + $b + $c =@
qu.8.4.answer.num=$ans@
qu.8.4.answer.units=@
qu.8.4.showUnits=false@
qu.8.4.grading=exact_value@
qu.8.4.negStyle=minus@
qu.8.4.numStyle=thousands scientific dollars arithmetic@
qu.8.4.mode=Numeric@
qu.8.4.name=Neg + Pos + Pos(110 max)@
qu.8.4.comment=Find the sum.
$a + $b + $c =
Add from left to right. Add the first two numbers $a + $b.
$ab + $c =
$ans
@
qu.8.4.editing=useHTML@
qu.8.4.algorithm=$a=range(-110,-1,1);
$b=range(0,110,1);
$ab=$a+$b;
$c=range(1,110,1);
$ans=$a+$b+$c;@
qu.8.5.question=Find the sum.
$a + ($b) + ($c) =@
qu.8.5.answer.num=$ans@
qu.8.5.answer.units=@
qu.8.5.showUnits=false@
qu.8.5.grading=exact_value@
qu.8.5.negStyle=minus@
qu.8.5.numStyle=thousands scientific dollars arithmetic@
qu.8.5.mode=Numeric@
qu.8.5.name=Neg + Neg + Neg (110 max)@
qu.8.5.comment=Find the sum.
$a + ($b) + ($c) =
Add from left to right. Add the first two numbers $a + ($b).
$ab + ($c) =
$ans
@
qu.8.5.editing=useHTML@
qu.8.5.algorithm=$a=range(-110,-1,1);
$b=range(-110,-1,1);
$ab=$a+$b;
$c=range(-110,-1,1);
$ans=$a+$b+$c;@
qu.9.topic=2_3 Subtract 2 numbers(12 Max)@
qu.9.1.question=Find the difference.
$a − $b =@
qu.9.1.answer.num=$ans@
qu.9.1.answer.units=@
qu.9.1.showUnits=false@
qu.9.1.grading=exact_value@
qu.9.1.negStyle=minus@
qu.9.1.numStyle=thousands scientific dollars arithmetic@
qu.9.1.mode=Numeric@
qu.9.1.name=Pos. - Pos(12 max)@
qu.9.1.comment=Find the difference.
$a − $b =
Change the subtraction to addition by adding the opposite.
Use the rules of addition.
$a + ($nb) =
$ans
@
qu.9.1.editing=useHTML@
qu.9.1.algorithm=$a=range(1,12,1);
$b=range(1,12,1);
$nb=-1*$b;
$ans=$a-$b;@
qu.9.2.question=Find the sum.
$a − ($b) =@
qu.9.2.answer.num=$ans@
qu.9.2.answer.units=@
qu.9.2.showUnits=false@
qu.9.2.grading=exact_value@
qu.9.2.negStyle=minus@
qu.9.2.numStyle=thousands scientific dollars arithmetic@
qu.9.2.mode=Numeric@
qu.9.2.name=Pos. - Neg(12 max)@
qu.9.2.comment=$a − ($b) =
Change the subtraction to addition by adding the opposite.
Use the rules of addition.
$a + $nb =
$ans
@
qu.9.2.editing=useHTML@
qu.9.2.algorithm=$a=range(1,12,1);
$b=range(-12,-1,1);
$nb=-1*$b;
$ans=$a-$b;@
qu.9.3.question=Find the difference.
$a − $b =@
qu.9.3.answer.num=$ans@
qu.9.3.answer.units=@
qu.9.3.showUnits=false@
qu.9.3.grading=exact_value@
qu.9.3.negStyle=minus@
qu.9.3.numStyle=thousands scientific dollars arithmetic@
qu.9.3.mode=Numeric@
qu.9.3.name=Neg. - Pos(12 max)@
qu.9.3.comment=Find the difference.
$a − $b =
Change the subtraction to addition by adding the opposite.
Use the rules of addition.
$a + ($nb) =
$ans
@
qu.9.3.editing=useHTML@
qu.9.3.algorithm=$a=range(-12,-1,1);
$b=range(1,12,1);
$nb=-1*$b;
$ans=$a-$b;@
qu.9.4.question=Find the sum.
$a − ($b) =@
qu.9.4.answer.num=$ans@
qu.9.4.answer.units=@
qu.9.4.showUnits=false@
qu.9.4.grading=exact_value@
qu.9.4.negStyle=minus@
qu.9.4.numStyle=thousands scientific dollars arithmetic@
qu.9.4.mode=Numeric@
qu.9.4.name=Neg. - Neg(12 max)@
qu.9.4.comment=$a − ($b) =
Change the subtraction to addition by adding the opposite.
Use the rules of addition.
$a + $nb =
$ans
@
qu.9.4.editing=useHTML@
qu.9.4.algorithm=$a=range(-12,-1,1);
$b=range(-12,-1,1);
$nb=-1*$b;
$ans=$a-$b;@
qu.10.topic=2_3 Subtract 2 numbers(50 Max)@
qu.10.1.question=Find the difference.
$a − $b =@
qu.10.1.answer.num=$ans@
qu.10.1.answer.units=@
qu.10.1.showUnits=false@
qu.10.1.grading=exact_value@
qu.10.1.negStyle=minus@
qu.10.1.numStyle=thousands scientific dollars arithmetic@
qu.10.1.mode=Numeric@
qu.10.1.name=Pos. - Pos(50 max)@
qu.10.1.comment=Find the difference.
$a − $b =
Change the subtraction to addition by adding the opposite.
Use the rules of addition.
$a + ($nb) =
$ans
@
qu.10.1.editing=useHTML@
qu.10.1.algorithm=$a=range(1,50,1);
$b=range(1,50,1);
$nb=-1*$b;
$ans=$a-$b;@
qu.10.2.question=Find the sum.
$a − ($b) =@
qu.10.2.answer.num=$ans@
qu.10.2.answer.units=@
qu.10.2.showUnits=false@
qu.10.2.grading=exact_value@
qu.10.2.negStyle=minus@
qu.10.2.numStyle=thousands scientific dollars arithmetic@
qu.10.2.mode=Numeric@
qu.10.2.name=Pos. - Neg(50 max)@
qu.10.2.comment=$a − ($b) =
Change the subtraction to addition by adding the opposite.
Use the rules of addition.
$a + $nb =
$ans
@
qu.10.2.editing=useHTML@
qu.10.2.algorithm=$a=range(1,50,1);
$b=range(-50,-1,1);
$nb=-1*$b;
$ans=$a-$b;@
qu.10.3.question=Find the difference.
$a − $b =@
qu.10.3.answer.num=$ans@
qu.10.3.answer.units=@
qu.10.3.showUnits=false@
qu.10.3.grading=exact_value@
qu.10.3.negStyle=minus@
qu.10.3.numStyle=thousands scientific dollars arithmetic@
qu.10.3.mode=Numeric@
qu.10.3.name=Neg. - Pos(50 max)@
qu.10.3.comment=Find the difference.
$a − $b =
Change the subtraction to addition by adding the opposite.
Use the rules of addition.
$a + ($nb) =
$ans
@
qu.10.3.editing=useHTML@
qu.10.3.algorithm=$a=range(-50,-1,1);
$b=range(1,50,1);
$nb=-1*$b;
$ans=$a-$b;@
qu.10.4.question=Find the sum.
$a − ($b) =@
qu.10.4.answer.num=$ans@
qu.10.4.answer.units=@
qu.10.4.showUnits=false@
qu.10.4.grading=exact_value@
qu.10.4.negStyle=minus@
qu.10.4.numStyle=thousands scientific dollars arithmetic@
qu.10.4.mode=Numeric@
qu.10.4.name=Neg. - Neg(50 max)@
qu.10.4.comment=$a − ($b) =
Change the subtraction to addition by adding the opposite.
Use the rules of addition.
$a + $nb =
$ans
@
qu.10.4.editing=useHTML@
qu.10.4.algorithm=$a=range(-50,-1,1);
$b=range(-50,-1,1);
$nb=-1*$b;
$ans=$a-$b;@
qu.11.topic=2_3 Subtract 3 numbers(12 max)@
qu.11.1.question=Find the sum.
$a − $b − ($c) =@
qu.11.1.answer.num=$ans@
qu.11.1.answer.units=@
qu.11.1.showUnits=false@
qu.11.1.grading=exact_value@
qu.11.1.negStyle=minus@
qu.11.1.numStyle=thousands scientific dollars arithmetic@
qu.11.1.mode=Numeric@
qu.11.1.name=Pos. - Pos - Neg(12 max)@
qu.11.1.comment=
$a − $b − ($c) =
Change subtraction to addition by adding the opposite.
Follow the rules of addition.
$a + ($nb) + $nc =
$amb + $nc =
$ans
@
qu.11.1.editing=useHTML@
qu.11.1.algorithm=$a=range(1,12,1);
$b=range(1,12,1);
$nb=-1*$b;
$amb=$a-$b;
$c=range(-12,-1,1);
$nc=-1*$c;
$ans=$a-$b-$c;@
qu.11.2.question=Find the sum.
$a − ($b) − $c =@
qu.11.2.answer.num=$ans@
qu.11.2.answer.units=@
qu.11.2.showUnits=false@
qu.11.2.grading=exact_value@
qu.11.2.negStyle=minus@
qu.11.2.numStyle=thousands scientific dollars arithmetic@
qu.11.2.mode=Numeric@
qu.11.2.name=Pos. - Neg - Pos (12 max)@
qu.11.2.comment=$a − ($b) − $c =
Change subtraction to addition by adding the opposite.
Follow the rules of addition.
$a + $nb + ($nc) =
$amb + ($nc) =
$ans
@
qu.11.2.editing=useHTML@
qu.11.2.algorithm=$a=range(1,12,1);
$b=range(-12,-1,1);
$amb=$a-$b;
$c=range(1,12,1);
$nb=-1*$b;
$nc=-1*$c;
$ans=$a-$b-$c;@
qu.11.3.question=Find the sum.
$a − ($b) − ($c) =@
qu.11.3.answer.num=$ans@
qu.11.3.answer.units=@
qu.11.3.showUnits=false@
qu.11.3.grading=exact_value@
qu.11.3.negStyle=minus@
qu.11.3.numStyle=thousands scientific dollars arithmetic@
qu.11.3.mode=Numeric@
qu.11.3.name=Pos. - Neg - Neg (12 max)@
qu.11.3.comment=$a − ($b) − ($c) =
Change subtraction to addition by adding the opposite.
Use the rules of addition.
$a + $nb + $nc =
$amb + $nc =
$ans
@
qu.11.3.editing=useHTML@
qu.11.3.algorithm=$a=range(1,12,1);
$b=range(-12,-1,1);
$amb=$a-$b;
$c=range(-12,-1,1);
$nb=-1*$b;
$nc=-1*$c;
$ans=$a-$b-$c;@
qu.11.4.question=Find the sum.
$a − $b − ($c) =@
qu.11.4.answer.num=$ans@
qu.11.4.answer.units=@
qu.11.4.showUnits=false@
qu.11.4.grading=exact_value@
qu.11.4.negStyle=minus@
qu.11.4.numStyle=thousands scientific dollars arithmetic@
qu.11.4.mode=Numeric@
qu.11.4.name=Neg. - Pos - Neg(12 max)@
qu.11.4.comment=
$a − $b − ($c) =
Change subtraction to addition by adding the opposite.
Follow the rules of addition.
$a + ($nb) + $nc =
$amb + $nc =
$ans
@
qu.11.4.editing=useHTML@
qu.11.4.algorithm=$a=range(-12,-1,1);
$b=range(1,12,1);
$nb=-1*$b;
$amb=$a-$b;
$c=range(-12,-1,1);
$nc=-1*$c;
$ans=$a-$b-$c;@
qu.11.5.question=Find the sum.
$a − ($b) − $c =@
qu.11.5.answer.num=$ans@
qu.11.5.answer.units=@
qu.11.5.showUnits=false@
qu.11.5.grading=exact_value@
qu.11.5.negStyle=minus@
qu.11.5.numStyle=thousands scientific dollars arithmetic@
qu.11.5.mode=Numeric@
qu.11.5.name=Neg. - Neg - Pos (12 max)@
qu.11.5.comment=$a − ($b) − $c =
Change subtraction to addition by adding the opposite.
Follow the rules of addition.
$a + $nb + ($nc) =
$amb + ($nc) =
$ans
@
qu.11.5.editing=useHTML@
qu.11.5.algorithm=$a=range(-12,-1,1);
$b=range(-12,-1,1);
$amb=$a-$b;
$c=range(1,12,1);
$nb=-1*$b;
$nc=-1*$c;
$ans=$a-$b-$c;@
qu.11.6.question=Find the sum.
$a − ($b) − ($c) =@
qu.11.6.answer.num=$ans@
qu.11.6.answer.units=@
qu.11.6.showUnits=false@
qu.11.6.grading=exact_value@
qu.11.6.negStyle=minus@
qu.11.6.numStyle=thousands scientific dollars arithmetic@
qu.11.6.mode=Numeric@
qu.11.6.name=Neg. - Neg - Neg (12 max)@
qu.11.6.comment=$a − ($b) − ($c) =
Change subtraction to addition by adding the opposite.
Use the rules of addition.
$a + $nb + $nc =
$amb + $nc =
$ans
@
qu.11.6.editing=useHTML@
qu.11.6.algorithm=$a=range(-12,-1,1);
$b=range(-12,-1,1);
$amb=$a-$b;
$c=range(-12,-1,1);
$nb=-1*$b;
$nc=-1*$c;
$ans=$a-$b-$c;@
qu.12.topic=2_3 Subtract 3 numbers(50 max)@
qu.12.1.question=Find the sum.
$a − $b − ($c) =@
qu.12.1.answer.num=$ans@
qu.12.1.answer.units=@
qu.12.1.showUnits=false@
qu.12.1.grading=exact_value@
qu.12.1.negStyle=minus@
qu.12.1.numStyle=thousands scientific dollars arithmetic@
qu.12.1.mode=Numeric@
qu.12.1.name=Pos. - Pos - Neg(50 max)@
qu.12.1.comment=
$a − $b − ($c) =
Change subtraction to addition by adding the opposite.
Follow the rules of addition.
$a + ($nb) + $nc =
$amb + $nc =
$ans
@
qu.12.1.editing=useHTML@
qu.12.1.algorithm=$a=range(1,50,1);
$b=range(1,50,1);
$nb=-1*$b;
$amb=$a-$b;
$c=range(-50,-1,1);
$nc=-1*$c;
$ans=$a-$b-$c;@
qu.12.2.question=Find the sum.
$a − ($b) − $c =@
qu.12.2.answer.num=$ans@
qu.12.2.answer.units=@
qu.12.2.showUnits=false@
qu.12.2.grading=exact_value@
qu.12.2.negStyle=minus@
qu.12.2.numStyle=thousands scientific dollars arithmetic@
qu.12.2.mode=Numeric@
qu.12.2.name=Pos. - Neg - Pos (50 max)@
qu.12.2.comment=$a − ($b) − $c =
Change subtraction to addition by adding the opposite.
Follow the rules of addition.
$a + $nb + ($nc) =
$amb + ($nc) =
$ans
@
qu.12.2.editing=useHTML@
qu.12.2.algorithm=$a=range(1,50,1);
$b=range(-50,-1,1);
$amb=$a-$b;
$c=range(1,50,1);
$nb=-1*$b;
$nc=-1*$c;
$ans=$a-$b-$c;@
qu.12.3.question=Find the sum.
$a − ($b) − ($c) =@
qu.12.3.answer.num=$ans@
qu.12.3.answer.units=@
qu.12.3.showUnits=false@
qu.12.3.grading=exact_value@
qu.12.3.negStyle=minus@
qu.12.3.numStyle=thousands scientific dollars arithmetic@
qu.12.3.mode=Numeric@
qu.12.3.name=Pos. - Neg - Neg (50 max)@
qu.12.3.comment=$a − ($b) − ($c) =
Change subtraction to addition by adding the opposite.
Use the rules of addition.
$a + $nb + $nc =
$amb + $nc =
$ans
@
qu.12.3.editing=useHTML@
qu.12.3.algorithm=$a=range(1,50,1);
$b=range(-50,-1,1);
$amb=$a-$b;
$c=range(-50,-1,1);
$nb=-1*$b;
$nc=-1*$c;
$ans=$a-$b-$c;@
qu.12.4.question=Find the sum.
$a − $b − ($c) =@
qu.12.4.answer.num=$ans@
qu.12.4.answer.units=@
qu.12.4.showUnits=false@
qu.12.4.grading=exact_value@
qu.12.4.negStyle=minus@
qu.12.4.numStyle=thousands scientific dollars arithmetic@
qu.12.4.mode=Numeric@
qu.12.4.name=Neg. - Pos - Neg(50 max)@
qu.12.4.comment=
$a − $b − ($c) =
Change subtraction to addition by adding the opposite.
Follow the rules of addition.
$a + ($nb) + $nc =
$amb + $nc =
$ans
@
qu.12.4.editing=useHTML@
qu.12.4.algorithm=$a=range(-50,-1,1);
$b=range(1,50,1);
$nb=-1*$b;
$amb=$a-$b;
$c=range(-50,-1,1);
$nc=-1*$c;
$ans=$a-$b-$c;@
qu.12.5.question=Find the sum.
$a − ($b) − $c =@
qu.12.5.answer.num=$ans@
qu.12.5.answer.units=@
qu.12.5.showUnits=false@
qu.12.5.grading=exact_value@
qu.12.5.negStyle=minus@
qu.12.5.numStyle=thousands scientific dollars arithmetic@
qu.12.5.mode=Numeric@
qu.12.5.name=Neg. - Neg - Pos (50 max)@
qu.12.5.comment=$a − ($b) − $c =
Change subtraction to addition by adding the opposite.
Follow the rules of addition.
$a + $nb + ($nc) =
$amb + ($nc) =
$ans
@
qu.12.5.editing=useHTML@
qu.12.5.algorithm=$a=range(-50,-1,1);
$b=range(-50,-1,1);
$amb=$a-$b;
$c=range(1,50,1);
$nb=-1*$b;
$nc=-1*$c;
$ans=$a-$b-$c;@
qu.12.6.question=Find the sum.
$a − ($b) − ($c) =@
qu.12.6.answer.num=$ans@
qu.12.6.answer.units=@
qu.12.6.showUnits=false@
qu.12.6.grading=exact_value@
qu.12.6.negStyle=minus@
qu.12.6.numStyle=thousands scientific dollars arithmetic@
qu.12.6.mode=Numeric@
qu.12.6.name=Neg. - Neg - Neg (50 max)@
qu.12.6.comment=$a − ($b) − ($c) =
Change subtraction to addition by adding the opposite.
Use the rules of addition.
$a + $nb + $nc =
$amb + $nc =
$ans
@
qu.12.6.editing=useHTML@
qu.12.6.algorithm=$a=range(-50,-1,1);
$b=range(-50,-1,1);
$amb=$a-$b;
$c=range(-50,-1,1);
$nb=-1*$b;
$nc=-1*$c;
$ans=$a-$b-$c;@
qu.13.topic=2_3 Eval Var Exp@
qu.13.1.question=Evaluate the expression when x = $x and y =
$y.
$c − x − y@
qu.13.1.answer.num=$ans@
qu.13.1.answer.units=@
qu.13.1.showUnits=false@
qu.13.1.grading=exact_value@
qu.13.1.negStyle=minus@
qu.13.1.numStyle=thousands scientific dollars arithmetic@
qu.13.1.mode=Numeric@
qu.13.1.name=7 - x - y@
qu.13.1.comment=$c − x − y =
$c − ($x) − $y =
$c + $nx + ($ny) =
$cnx + ($ny) =
$ans@
qu.13.1.editing=useHTML@
qu.13.1.algorithm=$x=range(-9,-1,1);
$y=range(1,8,1);
$nx=-1*$x;
$ny=-1*$y;
$c=range(2,7,1);
$cnx=$c+$nx;
$ans=$cnx+$ny@
qu.13.2.question=Evaluate the expression when x = $x and y =
$y.
x − $c − y@
qu.13.2.answer.num=$ans@
qu.13.2.answer.units=@
qu.13.2.showUnits=false@
qu.13.2.grading=exact_value@
qu.13.2.negStyle=minus@
qu.13.2.numStyle=thousands scientific dollars arithmetic@
qu.13.2.mode=Numeric@
qu.13.2.name=x - 11 - y@
qu.13.2.comment=x − $c − y =
$x − $c − $y =
$x + ($nc) + ($ny) =
$xnc + ($ny) =
$ans@
qu.13.2.editing=useHTML@
qu.13.2.algorithm=$x=range(-9,-1,1);
$y=range(1,8,1);
$nx=-1*$x;
$ny=-1*$y;
$c=range(2,7,1);
$nc=-1*$c;
$xnc=$nc+$x;
$ans=$xnc+$ny@
qu.13.3.question=Evaluate the expression when x = $x and y =
$y.
x − y − $c − $d@
qu.13.3.answer.num=$ans@
qu.13.3.answer.units=@
qu.13.3.showUnits=false@
qu.13.3.grading=exact_value@
qu.13.3.negStyle=minus@
qu.13.3.numStyle=thousands scientific dollars arithmetic@
qu.13.3.mode=Numeric@
qu.13.3.name=x - y - 5 - 11@
qu.13.3.comment=x − y − $c − $d=
$x − $y − $c − $d=
$x + ($ny) + ($nc) + ($nd) =
$xny + ($nc) + ($nd) =
$xnync + ($nd) =
$ans@
qu.13.3.editing=useHTML@
qu.13.3.algorithm=$x=range(-9,-1,1);
$y=range(1,8,1);
$nx=-1*$x;
$ny=-1*$y;
$c=range(1,7,1);
$d=range(2,9,1);
$nd=-1*$d;
$nc=-1*$c;
$xny=$ny+$x;
$xnync=$xny+$nc;
$ans=$xnync+$nd@
qu.13.4.question=a = $a, b = $b, and c = $c
Evaluate the
expression: a − b − $d@
qu.13.4.answer.num=$ans@
qu.13.4.answer.units=@
qu.13.4.showUnits=false@
qu.13.4.grading=exact_value@
qu.13.4.negStyle=minus@
qu.13.4.numStyle=thousands scientific dollars arithmetic@
qu.13.4.mode=Numeric@
qu.13.4.name=a - b - 9@
qu.13.4.comment=a − b − $d =
$a − $b − $d =
$a + ($nb) + ($nd) =
$anb + ($nd) =
$ans@
qu.13.4.editing=useHTML@
qu.13.4.algorithm=$a=range(-6,-2,1);
$b=range(4,12,1);
$c=range(-8,-1,1);
$d=range(4,9,1);
$na=-1*$a;
$nb=-1*$b;
$nc=-1*$c;
$nd=-1*$d;
$anb=$nb+$a;
$ans=$anb+$nd@
qu.13.5.question=a = $a, b = $b, and c = $c
Evaluate the
expression: b − c + a@
qu.13.5.answer.num=$ans@
qu.13.5.answer.units=@
qu.13.5.showUnits=false@
qu.13.5.grading=exact_value@
qu.13.5.negStyle=minus@
qu.13.5.numStyle=thousands scientific dollars arithmetic@
qu.13.5.mode=Numeric@
qu.13.5.name=b - c + a@
qu.13.5.comment=b − c + a =
$b − ($c) + ($a) =
$b + $nc + ($a) =
$bnc + ($a) =
$ans@
qu.13.5.editing=useHTML@
qu.13.5.algorithm=$a=range(-6,-2,1);
$b=range(4,12,1);
$c=range(-8,-1,1);
$d=range(4,9,1);
$na=-1*$a;
$nb=-1*$b;
$nc=-1*$c;
$nd=-1*$d;
$bnc=$nc+$b;
$ans=$bnc+$a@
qu.13.6.question=a = $a, b = $b, and c = $c
Evaluate the
expression: b − $d − c@
qu.13.6.answer.num=$ans@
qu.13.6.answer.units=@
qu.13.6.showUnits=false@
qu.13.6.grading=exact_value@
qu.13.6.negStyle=minus@
qu.13.6.numStyle=thousands scientific dollars arithmetic@
qu.13.6.mode=Numeric@
qu.13.6.name=b - 8 - c@
qu.13.6.comment=b − $d − c =
$b − $d − ($c) =
$b + ($nd) + $nc =
$bnd + ($nc) =
$ans@
qu.13.6.editing=useHTML@
qu.13.6.algorithm=$a=range(-6,-2,1);
$b=range(4,12,1);
$c=range(-8,-1,1);
$d=range(4,9,1);
$na=-1*$a;
$nb=-1*$b;
$nc=-1*$c;
$nd=-1*$d;
$bnd=$nd+$b;
$ans=$bnd+$nc@
qu.13.7.question=a = $a, b = $b, and c = $c
Evaluate the
expression: c − $d − a@
qu.13.7.answer.num=$ans@
qu.13.7.answer.units=@
qu.13.7.showUnits=false@
qu.13.7.grading=exact_value@
qu.13.7.negStyle=minus@
qu.13.7.numStyle=thousands scientific dollars arithmetic@
qu.13.7.mode=Numeric@
qu.13.7.name=c - 6 - a@
qu.13.7.comment=c − $d − a =
$c − $d − ($a) =
$c + ($nd) + $na =
$cnd + ($na) =
$ans@
qu.13.7.editing=useHTML@
qu.13.7.algorithm=$a=range(-6,-2,1);
$b=range(4,12,1);
$c=range(-8,-1,1);
$d=range(4,9,1);
$na=-1*$a;
$nb=-1*$b;
$nc=-1*$c;
$nd=-1*$d;
$cnd=$nd+$c;
$ans=$cnd+$na@
qu.13.8.question=a = $a, b = $b, and c = $c
Evaluate the
expression: c − $d + b@
qu.13.8.answer.num=$ans@
qu.13.8.answer.units=@
qu.13.8.showUnits=false@
qu.13.8.grading=exact_value@
qu.13.8.negStyle=minus@
qu.13.8.numStyle=thousands scientific dollars arithmetic@
qu.13.8.mode=Numeric@
qu.13.8.name=c - 9 + b@
qu.13.8.comment=c − $d + b =
$c − $d + $b =
$c + ($nd) + $b =
$cnd + $b =
$ans@
qu.13.8.editing=useHTML@
qu.13.8.algorithm=$a=range(-6,-2,1);
$b=range(4,12,1);
$c=range(-8,-1,1);
$d=range(4,9,1);
$na=-1*$a;
$nb=-1*$b;
$nc=-1*$c;
$nd=-1*$d;
$cnd=$nd+$c;
$ans=$cnd+$b@
qu.13.9.question=a = $a, b = $b, and c = $c
Evaluate the expression: a − b − c@
qu.13.9.answer.num=$ans@
qu.13.9.answer.units=@
qu.13.9.showUnits=false@
qu.13.9.grading=exact_value@
qu.13.9.negStyle=minus@
qu.13.9.numStyle=thousands scientific dollars arithmetic@
qu.13.9.mode=Numeric@
qu.13.9.name=a - b - c@
qu.13.9.comment=a − b − c =
$a − $b − ($c) =
$a + ($nb) + $nc =
$anb + $nc =
$ans@
qu.13.9.editing=useHTML@
qu.13.9.algorithm=$a=range(-6,-2,1);
$b=range(4,12,1);
$c=range(-8,-1,1);
$d=range(4,9,1);
$na=-1*$a;
$nb=-1*$b;
$nc=-1*$c;
$nd=-1*$d;
$anb=$nb+$a;
$ans=$anb+$nc@
qu.14.topic=2_4 Multiply Integers@
qu.14.1.question=Find the product.
$a • $b =@
qu.14.1.answer.num=$ans@
qu.14.1.answer.units=@
qu.14.1.showUnits=false@
qu.14.1.grading=exact_value@
qu.14.1.negStyle=minus@
qu.14.1.numStyle=thousands scientific dollars arithmetic@
qu.14.1.mode=Numeric@
qu.14.1.name=Pos x Pos (Max=9)@
qu.14.1.comment=Find the product.
$a • $b =
The product of two numbers with the same sign is a positive number.
$a • $b = $ans
@
qu.14.1.editing=useHTML@
qu.14.1.algorithm=$a=range(1,9,1);
$b=range(0,9,1);
$ans=$a*$b;@
qu.14.2.question=Find the product.
$a • ($b) =@
qu.14.2.answer.num=$ans@
qu.14.2.answer.units=@
qu.14.2.showUnits=false@
qu.14.2.grading=exact_value@
qu.14.2.negStyle=minus@
qu.14.2.numStyle=thousands scientific dollars arithmetic@
qu.14.2.mode=Numeric@
qu.14.2.name=Pos x Neg (Max=9)@
qu.14.2.comment=Find the product.
$a • ($b) =
The product of two numbers with opposite signs is a negative number.
$a • ($b) = $ans
@
qu.14.2.editing=useHTML@
qu.14.2.algorithm=$a=range(1,9,1);
$b=range(-9,-1,1);
$ans=$a*$b;@
qu.14.3.question=Find the product.
$a • $b =@
qu.14.3.answer.num=$ans@
qu.14.3.answer.units=@
qu.14.3.showUnits=false@
qu.14.3.grading=exact_value@
qu.14.3.negStyle=minus@
qu.14.3.numStyle=thousands scientific dollars arithmetic@
qu.14.3.mode=Numeric@
qu.14.3.name=Neg x Pos (Max=9)@
qu.14.3.comment=Find the product.
$a • $b =
The product of two numbers with opposite signs is a negative number.
$a • $b = $ans
@
qu.14.3.editing=useHTML@
qu.14.3.algorithm=$a=range(-9,-1,1);
$b=range(1,9,1);
$ans=$a*$b;@
qu.14.4.question=Find the product.
$a • ($b) =@
qu.14.4.answer.num=$ans@
qu.14.4.answer.units=@
qu.14.4.showUnits=false@
qu.14.4.grading=exact_value@
qu.14.4.negStyle=minus@
qu.14.4.numStyle=thousands scientific dollars arithmetic@
qu.14.4.mode=Numeric@
qu.14.4.name=Neg x Neg (Max=9)@
qu.14.4.comment=Find the product.
$a • ($b) =
The product of two numbers with the same sign is a positive number.
$a • ($b) = $ans
@
qu.14.4.editing=useHTML@
qu.14.4.algorithm=$a=range(-9,-1,1);
$b=range(-9,-1,1);
$ans=$a*$b;@
qu.15.topic=2_4 Multiply 3 Integers@
qu.15.1.question=Find the product.
$a • ($b) • ($c) =@
qu.15.1.answer.num=$ans@
qu.15.1.answer.units=@
qu.15.1.showUnits=false@
qu.15.1.grading=exact_value@
qu.15.1.negStyle=minus@
qu.15.1.numStyle=thousands scientific dollars arithmetic@
qu.15.1.mode=Numeric@
qu.15.1.name=Pos x Neg x Neg (Max=9)@
qu.15.1.comment=Multiply from left to right.
The product of two numbers with the same sign is a positive number.
The product of two numbers with opposite signs is a negative number.
$a • ($b) • ($c) =
$ab • ($c) =
$ans
@
qu.15.1.editing=useHTML@
qu.15.1.algorithm=$a=range(1,9,1);
$b=range(-9,-1,1);
$ab=$a*$b;
$c=range(-9,-1,1);
$ans=$a*$b*$c;@
qu.15.2.question=Find the product.
$a • ($b) • $c =@
qu.15.2.answer.num=$ans@
qu.15.2.answer.units=@
qu.15.2.showUnits=false@
qu.15.2.grading=exact_value@
qu.15.2.negStyle=minus@
qu.15.2.numStyle=thousands scientific dollars arithmetic@
qu.15.2.mode=Numeric@
qu.15.2.name=Pos x Neg x Pos (Max=9)@
qu.15.2.comment=Multiply from left to right.
The product of two numbers with the same sign is a positive number.
The product of two numbers with opposite signs is a negative number.
$a • ($b) • $c =
$ab • $c =
$ans
@
qu.15.2.editing=useHTML@
qu.15.2.algorithm=$a=range(1,9,1);
$b=range(-9,-1,1);
$ab=$a*$b;
$c=range(1,9,1);
$ans=$a*$b*$c;@
qu.15.3.question=Find the product.
$a • ($b) • ($c) =@
qu.15.3.answer.num=$ans@
qu.15.3.answer.units=@
qu.15.3.showUnits=false@
qu.15.3.grading=exact_value@
qu.15.3.negStyle=minus@
qu.15.3.numStyle=thousands scientific dollars arithmetic@
qu.15.3.mode=Numeric@
qu.15.3.name=Neg x Neg x Neg (Max=9)@
qu.15.3.comment=Multiply from left to right.
The product of two numbers with the same sign is a positive number.
The product of two numbers with opposite signs is a negative number.
$a • ($b) • ($c) =
$ab • ($c) =
$ans
@
qu.15.3.editing=useHTML@
qu.15.3.algorithm=$a=range(-9,-1,1);
$b=range(-9,-1,1);
$ab=$a*$b;
$c=range(-9,-1,1);
$ans=$a*$b*$c;@
qu.15.4.question=Find the product.
$a • $b • ($c) =@
qu.15.4.answer.num=$ans@
qu.15.4.answer.units=@
qu.15.4.showUnits=false@
qu.15.4.grading=exact_value@
qu.15.4.negStyle=minus@
qu.15.4.numStyle=thousands scientific dollars arithmetic@
qu.15.4.mode=Numeric@
qu.15.4.name=Neg x Pos x Neg (Max=9)@
qu.15.4.comment=Multiply from left to right.
The product of two numbers with the same sign is a positive number.
The product of two numbers with opposite signs is a negative number.
$a • $b • ($c) =
$ab • ($c) =
$ans
@
qu.15.4.editing=useHTML@
qu.15.4.algorithm=$a=range(-9,-1,1);
$b=range(1,9,1);
$ab=$a*$b;
$c=range(-9,-1,1);
$ans=$a*$b*$c;@
qu.16.topic=2_4 Multiply var expressions A@
qu.16.1.question=x = $x and y = $y
Evaluate the expression: ${$d}xy@
qu.16.1.answer.num=$ans@
qu.16.1.answer.units=@
qu.16.1.showUnits=false@
qu.16.1.grading=exact_value@
qu.16.1.negStyle=minus@
qu.16.1.numStyle=thousands scientific dollars arithmetic@
qu.16.1.mode=Numeric@
qu.16.1.name=2xy@
qu.16.1.comment=${$d}xy =
($d) • ($x) • ($y) =
($dx) • ($y) =
$ans@
qu.16.1.editing=useHTML@
qu.16.1.algorithm=$x=range(-9,-2,1);
$y=range(-8,-1,1);
$z=range(-10,-1,1);
$d=range(-6,6,1);
$nx=-1*$x;
$ny=-1*$y;
$nz=-1*$z;
$nd=-1*$d;
$dx=$d*$x;
$ans=$dx*$y@
qu.16.2.question=x = $x, y = $y, and z = $z
Evaluate the expression: ${$d}xyz@
qu.16.2.answer.num=$ans@
qu.16.2.answer.units=@
qu.16.2.showUnits=false@
qu.16.2.grading=exact_value@
qu.16.2.negStyle=minus@
qu.16.2.numStyle=thousands scientific dollars arithmetic@
qu.16.2.mode=Numeric@
qu.16.2.name=2xyz@
qu.16.2.comment=${$d}xyz =
($d) • ($x) • ($y) • ($z)=
($dx) • ($y) • ($z)=
($dxy) • ($z)=
$ans@
qu.16.2.editing=useHTML@
qu.16.2.algorithm=$x=range(-6,-2,1);
$y=range(-6,-1,1);
$z=range(-6,-1,1);
$d=range(-6,6,1);
$nx=-1*$x;
$ny=-1*$y;
$nz=-1*$z;
$nd=-1*$d;
$dx=$d*$x;
$dxy=$dx*$y;
$ans=$dxy*$z@
qu.16.3.question=x = $x, y = $y, and z = $z
Evaluate the expression: yz − ${$d}x@
qu.16.3.answer.num=$ans@
qu.16.3.answer.units=@
qu.16.3.showUnits=false@
qu.16.3.grading=exact_value@
qu.16.3.negStyle=minus@
qu.16.3.numStyle=thousands scientific dollars arithmetic@
qu.16.3.mode=Numeric@
qu.16.3.name=yz - 4x@
qu.16.3.comment=yz − ${$d}x =
($y)•($z) − ($d)•($x)=
($yz) − ($dx)=
($yz) + ($ndx)=
$ans@
qu.16.3.editing=useHTML@
qu.16.3.algorithm=$x=range(-6,-2,1);
$y=range(-6,-1,1);
$z=range(-6,-1,1);
$d=range(1,6,1);
condition: ne($d,0);
$nx=-1*$x;
$ny=-1*$y;
$nz=-1*$z;
$nd=-1*$d;
$yz=$y*$z;
$dx=$d*$x;
$ndx=-1*$dx;
$ans=$yz-$dx@
qu.16.4.question=x = $x, y = $y, and z = $z
Evaluate the expression: yz − ${$d}xy@
qu.16.4.answer.num=$ans@
qu.16.4.answer.units=@
qu.16.4.showUnits=false@
qu.16.4.grading=exact_value@
qu.16.4.negStyle=minus@
qu.16.4.numStyle=thousands scientific dollars arithmetic@
qu.16.4.mode=Numeric@
qu.16.4.name=yz - 4xy@
qu.16.4.comment=yz − ${$d}xy =
($y)•($z) − ($d)•($x)•($y)=
($yz) − ($dx)•($y)=
($yz) − ($dxy)=
$ans@
qu.16.4.editing=useHTML@
qu.16.4.algorithm=$x=range(-6,-2,1);
$y=range(-6,-1,1);
$z=range(-6,-1,1);
$d=range(1,6,1);
condition: ne($d,0);
$nx=-1*$x;
$ny=-1*$y;
$nz=-1*$z;
$nd=-1*$d;
$yz=$y*$z;
$dx=$d*$x;
$dxy=$d*$x*$y;
$ndx=-1*$dx;
$ndxy=$ndx*$y;
$ans=$yz-$dx*$y;@
qu.17.topic=2_4 Multiply Var Express Powers B@
qu.17.1.question=Evaluate the expression when x = $x
x2 − ${$b}x
@
qu.17.1.answer.num=$ans@
qu.17.1.answer.units=@
qu.17.1.showUnits=false@
qu.17.1.grading=exact_value@
qu.17.1.negStyle=minus@
qu.17.1.numStyle=thousands scientific dollars arithmetic@
qu.17.1.mode=Numeric@
qu.17.1.name=x^2 - 3x (x pos max 9)@
qu.17.1.comment=Evaluate the expression when x = $x
x2 − ${$b}x
($x)2 - ($b) • ($x) =
($x) • ($x) - ($b) • ($x) =
$x2 − $bx =
$ans
@
qu.17.1.editing=useHTML@
qu.17.1.algorithm=$x=range(2,9,1);
$x2=$x*$x;
$b=range(2,9,1);
$bx=$b*$x;
$ans=$x^2-$b*$x;@
qu.17.2.question=Evaluate the expression when x = $x
x2 − ${$b}x
@
qu.17.2.answer.num=$ans@
qu.17.2.answer.units=@
qu.17.2.showUnits=false@
qu.17.2.grading=exact_value@
qu.17.2.negStyle=minus@
qu.17.2.numStyle=thousands scientific dollars arithmetic@
qu.17.2.mode=Numeric@
qu.17.2.name=x^2 - 3x (x neg max 9)@
qu.17.2.comment=Evaluate the expression when x = $x
x2 − ${$b}x
($x)2 - ($b) • ($x) =
($x) • ($x) - ($b) • ($x) =
$x2 − ($bx) =
$x2 + $nbx =
$ans
@
qu.17.2.editing=useHTML@
qu.17.2.algorithm=$x=range(-9,-2,1);
$x2=$x*$x;
$b=range(2,9,1);
$bx=$b*$x;
$nbx=-1*$bx;
$ans=$x^2-$b*$x;@
qu.17.3.question=Evaluate the expression when x = $x
x2 + ${$b}x
@
qu.17.3.answer.num=$ans@
qu.17.3.answer.units=@
qu.17.3.showUnits=false@
qu.17.3.grading=exact_value@
qu.17.3.negStyle=minus@
qu.17.3.numStyle=thousands scientific dollars arithmetic@
qu.17.3.mode=Numeric@
qu.17.3.name=x^2 + 3x (x neg max 9)@
qu.17.3.comment=Evaluate the expression when x = $x
x2 + ${$b}x
($x)2 + ($b) • ($x) =
($x) • ($x) + ($b) • ($x) =
$x2 + ($bx) =
$ans
@
qu.17.3.editing=useHTML@
qu.17.3.algorithm=$x=range(-9,-2,1);
$x2=$x*$x;
$b=range(2,9,1);
$bx=$b*$x;
$nbx=-1*$bx;
$ans=$x^2+$b*$x;@
qu.18.topic=2_5 Dividing Integers@
qu.18.1.question=Divide:
@
qu.18.1.answer.num=$ans@
qu.18.1.answer.units=@
qu.18.1.showUnits=false@
qu.18.1.grading=exact_value@
qu.18.1.negStyle=minus@
qu.18.1.numStyle=thousands scientific dollars arithmetic@
qu.18.1.mode=Numeric@
qu.18.1.name=Pos / Pos@
qu.18.1.comment=Divide:
Dividing with the same sign is a positive quotient.
Dividing with opposite signs is a negative quotient.
@
qu.18.1.editing=useHTML@
qu.18.1.algorithm=$d=range(2,9,1);
$ans=range(2,9,1);
$n=$d*$ans;@
qu.18.2.question=Divide:
@
qu.18.2.answer.num=$ans@
qu.18.2.answer.units=@
qu.18.2.showUnits=false@
qu.18.2.grading=exact_value@
qu.18.2.negStyle=minus@
qu.18.2.numStyle=thousands scientific dollars arithmetic@
qu.18.2.mode=Numeric@
qu.18.2.name=Neg / Pos@
qu.18.2.comment=Divide:
Dividing with the same sign is a positive quotient.
Dividing with opposite signs is a negative quotient.
@
qu.18.2.editing=useHTML@
qu.18.2.algorithm=$d=range(2,9,1);
$ans=range(-9,-2,1);
$n=$d*$ans;@
qu.18.3.question=Divide:
@
qu.18.3.answer.num=$ans@
qu.18.3.answer.units=@
qu.18.3.showUnits=false@
qu.18.3.grading=exact_value@
qu.18.3.negStyle=minus@
qu.18.3.numStyle=thousands scientific dollars arithmetic@
qu.18.3.mode=Numeric@
qu.18.3.name=Pos / Neg@
qu.18.3.comment=Divide:
Dividing with the same sign is a positive quotient.
Dividing with opposite signs is a negative quotient.
@
qu.18.3.editing=useHTML@
qu.18.3.algorithm=$d=range(-9,-2,1);
$ans=range(-9,-2,1);
$n=$d*$ans;@
qu.18.4.question=Divide:
@
qu.18.4.answer.num=$ans@
qu.18.4.answer.units=@
qu.18.4.showUnits=false@
qu.18.4.grading=exact_value@
qu.18.4.negStyle=minus@
qu.18.4.numStyle=thousands scientific dollars arithmetic@
qu.18.4.mode=Numeric@
qu.18.4.name=Neg / Neg@
qu.18.4.comment=Divide:
Dividing with the same sign is a positive quotient.
Dividing with opposite signs is a negative quotient.
@
qu.18.4.editing=useHTML@
qu.18.4.algorithm=$ans=range(2,9,1);
$d=range(-9,-2,1);
$n=$d*$ans;@
qu.19.topic=2_5 Mean@
qu.19.1.question=Find the mean of the data:
$a, $b, $c, $d
@
qu.19.1.answer.num=$ans@
qu.19.1.answer.units=@
qu.19.1.showUnits=false@
qu.19.1.grading=exact_value@
qu.19.1.negStyle=minus@
qu.19.1.numStyle=thousands scientific dollars arithmetic@
qu.19.1.mode=Numeric@
qu.19.1.name=4 numbers@
qu.19.1.comment=Find the mean of the data:
$a, $b, $c, $d
The mean or average is the sum of the values divided by the number of values.
$a + $b + ($c) + ($d) = $sum
@
qu.19.1.editing=useHTML@
qu.19.1.algorithm=$a=range(-12,-1,1);
$b=range(1,12,1);
$c=range(-12,-1,1);
$f=range(-12,-1,1);
$e=range(1,12,1);
$d1=range(-12,-1,1);
$q=int(($a+$b+$c+$d1)/4);
$r=($a+$b+$c+$d1)-$q*4;
$d=$d1-$r;
$sum=$a+$b+$c+$d;
$ans=$sum/4;
condition:ne($ans,0);@
qu.19.2.question=Find the mean of the data:
$a, $b, $c, $d, $e
@
qu.19.2.answer.num=$ans@
qu.19.2.answer.units=@
qu.19.2.showUnits=false@
qu.19.2.grading=exact_value@
qu.19.2.negStyle=minus@
qu.19.2.numStyle=thousands scientific dollars arithmetic@
qu.19.2.mode=Numeric@
qu.19.2.name=5 numbers@
qu.19.2.comment=Find the mean of the data:
$a, $b, $c, $d, $e
The mean or average is the sum of the values divided by the number of values.
$a + $b + ($c) + ($d) + $e = $sum
@
qu.19.2.editing=useHTML@
qu.19.2.algorithm=$a=range(-12,-1,1);
$b=range(1,12,1);
$c=range(-12,-1,1);
$f=range(-12,-1,1);
$e=range(1,12,1);
$d1=range(-12,-1,1);
$q=int(($a+$b+$c+$d1+$e)/5);
$r=($a+$b+$c+$d1+$e)-$q*5;
$d=$d1-$r;
$sum=$a+$b+$c+$d+$e;
$ans=$sum/5;
condition:ne($ans,0);@
qu.19.3.question=Find the mean of the data:
$a, $b, $c, $d, $e, $f
@
qu.19.3.answer.num=$ans@
qu.19.3.answer.units=@
qu.19.3.showUnits=false@
qu.19.3.grading=exact_value@
qu.19.3.negStyle=minus@
qu.19.3.numStyle=thousands scientific dollars arithmetic@
qu.19.3.mode=Numeric@
qu.19.3.name=6 numbers@
qu.19.3.comment=Find the mean of the data:
$a, $b, $c, $d, $e, $f
The mean or average is the sum of the values divided by the number of values.
$a + $b + ($c) + ($d) + $e + ($f) = $sum
@
qu.19.3.editing=useHTML@
qu.19.3.algorithm=$a=range(-12,-1,1);
$b=range(1,12,1);
$c=range(-12,-1,1);
$f=range(-12,-1,1);
$e=range(1,12,1);
$d1=range(-12,-1,1);
$q=int(($a+$b+$c+$d1+$e+$f)/6);
$r=($a+$b+$c+$d1+$e+$f)-$q*6;
$d=$d1-$r;
$sum=$a+$b+$c+$d+$e+$f;
$ans=$sum/6;
condition:ne($ans,0);@
qu.19.4.question=Find the mean of the data:
$a, $b, $c, $d, $e, $f, $g
@
qu.19.4.answer.num=$ans@
qu.19.4.answer.units=@
qu.19.4.showUnits=false@
qu.19.4.grading=exact_value@
qu.19.4.negStyle=minus@
qu.19.4.numStyle=thousands scientific dollars arithmetic@
qu.19.4.mode=Numeric@
qu.19.4.name=7 numbers@
qu.19.4.comment=Find the mean of the data:
$a, $b, $c, $d, $e, $f, $g
The mean or average is the sum of the values divided by the number of values.
$a + $b + ($c) + ($d) + $e + ($f) + $g = $sum
@
qu.19.4.editing=useHTML@
qu.19.4.algorithm=$a=range(-12,-1,1);
$b=range(1,16,1);
$c=range(-12,-1,1);
$f=range(-12,-1,1);
$e=range(1,16,1);
$d1=range(-12,-1,1);
$g=range(1,16,1);
$q=int(($a+$b+$c+$d1+$e+$f+$g)/7);
$r=($a+$b+$c+$d1+$e+$f+$g)-$q*7;
$d=$d1-$r;
$sum=$a+$b+$c+$d+$e+$f+$g;
$ans=$sum/7;
condition:ne($ans,0);@
qu.20.topic=2_5 Divide Var Expressions@
qu.20.1.question=Evaluate the expression when x = $n and y = $d.
@
qu.20.1.answer.num=$ans@
qu.20.1.answer.units=@
qu.20.1.showUnits=false@
qu.20.1.grading=exact_value@
qu.20.1.negStyle=minus@
qu.20.1.numStyle=thousands scientific dollars arithmetic@
qu.20.1.mode=Numeric@
qu.20.1.name=x/y@
qu.20.1.comment=Evaluate the expression when x = $n and y = $d.
@
qu.20.1.editing=useHTML@
qu.20.1.algorithm=$d=range(-10,10,1);
condition:ne($d,0);
$ans=range(-10,10,1);
condition:ne($ans,0);
$n=$ans*$d;@
qu.20.2.question=Evaluate the expression when x = $x and y = $y.
@
qu.20.2.answer.num=$ans@
qu.20.2.answer.units=@
qu.20.2.showUnits=false@
qu.20.2.grading=exact_value@
qu.20.2.negStyle=minus@
qu.20.2.numStyle=thousands scientific dollars arithmetic@
qu.20.2.mode=Numeric@
qu.20.2.name=x^2/y@
qu.20.2.comment=Evaluate the expression when x = $x and y = $y.
@
qu.20.2.editing=useHTML@
qu.20.2.algorithm=$y=range(-5,5,1);
condition:ne($y,0);
$x=range(2,5,1)*$y;
$ans=$x^2/$y@
qu.20.3.question=Evaluate the expression when x = $x and y = $y.
@
qu.20.3.answer.num=$ans@
qu.20.3.answer.units=@
qu.20.3.showUnits=false@
qu.20.3.grading=exact_value@
qu.20.3.negStyle=minus@
qu.20.3.numStyle=thousands scientific dollars arithmetic@
qu.20.3.mode=Numeric@
qu.20.3.name=x/y^2@
qu.20.3.comment=Evaluate the expression when x = $x and y = $y.
@
qu.20.3.editing=useHTML@
qu.20.3.algorithm=$y=range(-5,5,1);
condition:gt(abs($y),1);
$ans=range(-10,10,1);
condition:gt(abs($ans),1);
$x=$ans*$y^2;@
qu.20.4.question=Evaluate the expression when x = $x, y = $y and z = $z.
@
qu.20.4.answer.num=$ans@
qu.20.4.answer.units=@
qu.20.4.showUnits=false@
qu.20.4.grading=exact_value@
qu.20.4.negStyle=minus@
qu.20.4.numStyle=thousands scientific dollars arithmetic@
qu.20.4.mode=Numeric@
qu.20.4.name=(x+y)/z@
qu.20.4.comment=Evaluate the expression when x = $x, y = $y and z = $z.
@
qu.20.4.editing=useHTML@
qu.20.4.algorithm=$y=range(5,20,1);
$z=range(-6,6,1);
$ans=range(-10,10,1);
condition:gt(abs($ans),1);
condition:gt(abs($z),1);
$x=$z*$ans-$y;@
qu.21.topic=2_6 Property Matching@
qu.21.1.mode=Matching@
qu.21.1.name=Match Properties@
qu.21.1.comment=Commutative properties are a change in the order of operations. Example: a + b = b + a.
Associative properties are a change in the group. Example: (a + b) + c = a + (b + c)
The additive identity is 0. a + 0 = a
The multiplicative identity is 1. b • 1 = b
@
qu.21.1.editing=useHTML@
qu.21.1.algorithm=$a=range(-20,20,1);
condition:gt(abs($a),1);
$b=range(-12,-2,1);
$c=range(-30,-5,1);
$e=range(5,8,1);
$d=range(-8,-3,1);
$f=range(11,19,1);@
qu.21.1.format.columns=2@
qu.21.1.question=Match each of the numbered items in the list with the numbers in the drop-down menus:@
qu.21.1.term.1=Identity property of addition@
qu.21.1.term.1.def.1=$a + 0 = $a@
qu.21.1.term.2=Commutative property of addition@
qu.21.1.term.2.def.1=$c + m = m + ($c)@
qu.21.1.term.3=Associative property of addition@
qu.21.1.term.3.def.1=(p + $e) + $f = p + ($e + $f)@
qu.21.1.term.4=Identity property of multiplication@
qu.21.1.term.4.def.1=$d • 1 = $d@
qu.21.1.term.5=Associative property of multiplication@
qu.21.1.term.5.def.1=($d • $e)z = $d(${$e}z)@
qu.21.1.term.6=Commutative property of multiplication@
qu.21.1.term.6.def.1=y • ($b) = ${$b}y@
qu.22.topic=2_6 Using Add. Properties@
qu.22.1.question=Evaluate the expression:
$a + $b + $c
@
qu.22.1.answer.num=$ans@
qu.22.1.answer.units=@
qu.22.1.showUnits=false@
qu.22.1.grading=exact_value@
qu.22.1.negStyle=minus@
qu.22.1.numStyle=thousands scientific dollars arithmetic@
qu.22.1.mode=Numeric@
qu.22.1.name=(a)+b+(c)@
qu.22.1.comment=Evaluate the expression:
$a + $b + $c
Use the commutative property of addition
$a + $c + $b =
${$a+$c} + $b =
$ans
@
qu.22.1.editing=useHTML@
qu.22.1.algorithm=$d=range(20,60,10);
$a=range(5,$d/2,1);
$c=$d-$a;
$b=range(5,25,1);
$ans=$a+$b+$c;@
qu.22.2.question=Evaluate the expression:
$a + ($b + $c)
@
qu.22.2.answer.num=$ans@
qu.22.2.answer.units=@
qu.22.2.showUnits=false@
qu.22.2.grading=exact_value@
qu.22.2.negStyle=minus@
qu.22.2.numStyle=thousands scientific dollars arithmetic@
qu.22.2.mode=Numeric@
qu.22.2.name=(a) + [(b) + c]@
qu.22.2.comment=Evaluate the expression:
$a + ($b + $c)
Use the associative property of addition
($a + $b) + $c =
${$a+$b} + $c =
$ans
@
qu.22.2.editing=useHTML@
qu.22.2.algorithm=$d=range(-60,-20,10);
$a=range($d/2,-5,1);
$b=$d-$a;
$c=range(5,25,1);
$ans=$a+$b+$c;@
qu.22.3.question=Evaluate the expression:
$a + ($b) − $nc
@
qu.22.3.answer.num=$ans@
qu.22.3.answer.units=@
qu.22.3.showUnits=false@
qu.22.3.grading=exact_value@
qu.22.3.negStyle=minus@
qu.22.3.numStyle=thousands scientific dollars arithmetic@
qu.22.3.mode=Numeric@
qu.22.3.name=a+(b)+(c)@
qu.22.3.comment=Evaluate the expression:
$a + ($b) − $nc
Change subtraction to adding the opposite.
$a + ($b) + ($c) =
Use the associative property of addition to group the last two terms.
$a + [($b) + ($c)] =
$a + (${$b+$c}) =
$ans
@
qu.22.3.editing=useHTML@
qu.22.3.algorithm=$d=range(-60,-20,10);
$b=range($d/2,-5,1);
$c=$d-$b;
$nc=-1*$c;
$a=range(5,25,1);
$ans=$a+$b+$c;@
qu.23.topic=2_6 Using Mult Properties@
qu.23.1.question=Evaluate the expression:
5 • ${if(lt($b,0),"(","")}$b${if(lt($b,0),")","")} • ${if(lt($c,0),"(","")}$c${if(lt($c,0),")","")}
@
qu.23.1.answer.num=$ans@
qu.23.1.answer.units=@
qu.23.1.showUnits=false@
qu.23.1.grading=exact_value@
qu.23.1.negStyle=minus@
qu.23.1.numStyle=thousands scientific dollars arithmetic@
qu.23.1.mode=Numeric@
qu.23.1.name=5*a*m2@
qu.23.1.comment=Evaluate the expression:
5 • ${if(lt($b,0),"(","")}$b${if(lt($b,0),")","")} • ${if(lt($c,0),"(","")}$c${if(lt($c,0),")","")}
Change the order of the multiplication using the commutative property.
5 • ${if(lt($c,0),"(","")}$c${if(lt($c,0),")","")} • ${if(lt($b,0),"(","")}$b${if(lt($b,0),")","")}
${if(lt($c5,0),"(","")}$c5${if(lt($c5,0),")","")} • ${if(lt($b,0),"(","")}$b${if(lt($b,0),")","")}
$ans
@
qu.23.1.editing=useHTML@
qu.23.1.algorithm=$b1=range(7,19,2);
$c1=range(2,6,2);
$b=range(-1,1,2)*$b1;
$c=range(-1,1,2)*$c1;
$c5=5*$c;
$ans=5*$b*$c;@
qu.23.2.question=Evaluate the expression:
$a • ${if(lt($b,0),"(","")}$b${if(lt($b,0),")","")} • ${if(lt($c,0),"(","")}$c${if(lt($c,0),")","")}
@
qu.23.2.answer.num=$ans@
qu.23.2.answer.units=@
qu.23.2.showUnits=false@
qu.23.2.grading=exact_value@
qu.23.2.negStyle=minus@
qu.23.2.numStyle=thousands scientific dollars arithmetic@
qu.23.2.mode=Numeric@
qu.23.2.name=5*a*20@
qu.23.2.comment=Evaluate the expression:
$a • ${if(lt($b,0),"(","")}$b${if(lt($b,0),")","")} • ${if(lt($c,0),"(","")}$c${if(lt($c,0),")","")}
Change the order of the multiplication using the commutative property.
$a • ${if(lt($c,0),"(","")}$c${if(lt($c,0),")","")} • ${if(lt($b,0),"(","")}$b${if(lt($b,0),")","")}
${if(lt($ac,0),"(","")}$ac${if(lt($ac,0),")","")} • ${if(lt($b,0),"(","")}$b${if(lt($b,0),")","")}
$ans
@
qu.23.2.editing=useHTML@
qu.23.2.algorithm=$a1=range(2,5,1);
condition:ne($a1,3);
$a=range(-1,1,2)*$a1;
$c1=100/$a1;
$c=range(-1,1,2)*$c1;
$ac=$a*$c;
$b1=range(5,12,1);
$b=range(-1,1,2)*$b1;
$ans=$a*$b*$c;@
qu.23.3.question=Evaluate the expression:
$a($b • $c)
@
qu.23.3.answer.num=$ans@
qu.23.3.answer.units=@
qu.23.3.showUnits=false@
qu.23.3.grading=exact_value@
qu.23.3.negStyle=minus@
qu.23.3.numStyle=thousands scientific dollars arithmetic@
qu.23.3.mode=Numeric@
qu.23.3.name=5*(a*20)@
qu.23.3.comment=Evaluate the expression:
$a($b • $c)
Change the order using the commutative property.
Change the grouping using the associative property.
($a • $c) • $b
$ac • $b
$ans
@
qu.23.3.editing=useHTML@
qu.23.3.algorithm=$a=range(-5,-2,1);
condition:ne($a,-3);
$c=-100/$a;
$ac=$a*$c;
$b=range(5,12,1);
$ans=$a*$b*$c;@
qu.24.topic=2_7 Distributive Prop A@
qu.24.1.mode=Formula@
qu.24.1.name=a(x + b) [a pos]@
qu.24.1.comment=Use the distributive property to simplify the expression:
$a(x + $b)
${$a}x + ($a)($b)
${$a}x + $ab
@
qu.24.1.editing=useHTML@
qu.24.1.algorithm=$a=range(3,8,1);
$b=range(2,7,1);
$ab=$a*$b;@
qu.24.1.question=Use the distributive property to simplify the expression:
$a(x + $b)
@
qu.24.1.answer=${a}x + $ab@
qu.24.2.mode=Formula@
qu.24.2.name=a(x - b) [a pos]@
qu.24.2.comment=Use the distributive property to simplify the expression:
$a(x − $b)
${$a}x − ($a)($b)
${$a}x − $ab
@
qu.24.2.editing=useHTML@
qu.24.2.algorithm=$a=range(3,8,1);
$b=range(2,7,1);
$ab=$a*$b;@
qu.24.2.question=Use the distributive property to simplify the expression:
$a(x − $b)
@
qu.24.2.answer=${a}x - $ab@
qu.24.3.mode=Formula@
qu.24.3.name=a(x + b) [a neg]@
qu.24.3.comment=Use the distributive property to simplify the expression:
$a(x + $b)
${$a}x + ($a)($b)
${$a}x + (${$a*$b})
${$a}x − $ab
@
qu.24.3.editing=useHTML@
qu.24.3.algorithm=$a=-1*range(3,8,1);
$b=range(2,7,1);
$ab=abs($a*$b);@
qu.24.3.question=Use the distributive property to simplify the expression:
$a(x + $b)
@
qu.24.3.answer=${a}x - $ab@
qu.24.4.mode=Formula@
qu.24.4.name=a(x - b) [a neg]@
qu.24.4.comment=Use the distributive property to simplify the expression:
$a(x − $b)
${$a}x − ($a)($b)
${$a}x − (${$a*$b})
${$a}x + $ab
@
qu.24.4.editing=useHTML@
qu.24.4.algorithm=$a=-1*range(3,8,1);
$b=range(2,7,1);
$ab=abs($a*$b);@
qu.24.4.question=Use the distributive property to simplify the expression:
$a(x − $b)
@
qu.24.4.answer=${a}x + $ab@
qu.25.topic=2_7 Combine Like Terms A@
qu.25.1.mode=Formula@
qu.25.1.name=ax + bx (a pos)@
qu.25.1.comment=Simplify by combining like terms:
${$a}x + ${$b}x
($a + $b)x
${$ans}x
@
qu.25.1.editing=useHTML@
qu.25.1.algorithm=$a=range(2,8,1);
condition:gt(abs($a),1);
$b=range(2,8,1);
$ans=$a+$b;
condition:ne($ans,0);@
qu.25.1.question=Simplify by combining like terms:
${$a}x + ${$b}x
@
qu.25.1.answer=${$ans}x@
qu.25.2.mode=Formula@
qu.25.2.name=ax - bx (a pos)@
qu.25.2.comment=Simplify by combining like terms:
${$a}x − ${$b}x
($a − $b)x
($a + (-$b))x
${$ans}x
@
qu.25.2.editing=useHTML@
qu.25.2.algorithm=$a=range(2,8,1);
condition:gt(abs($a),1);
$b=range(2,8,1);
$ans=$a-$b;
condition:ne($ans,0);@
qu.25.2.question=Simplify by combining like terms:
${$a}x − ${$b}x
@
qu.25.2.answer=${$ans}x@
qu.25.3.mode=Formula@
qu.25.3.name=ax + bx (a neg)@
qu.25.3.comment=Simplify by combining like terms:
${$a}x + ${$b}x
($a + $b)x
${$ans}x
@
qu.25.3.editing=useHTML@
qu.25.3.algorithm=$a=range(-8,-2,1);
$b=range(2,8,1);
$ans=$a+$b;
condition:ne($ans,0);@
qu.25.3.question=Simplify by combining like terms:
${$a}x + ${$b}x
@
qu.25.3.answer=${$ans}x@
qu.25.4.mode=Formula@
qu.25.4.name=ax - bx (a neg)@
qu.25.4.comment=Simplify by combining like terms:
${$a}x − ${$b}x
($a − $b)x
($a + (-$b))x
${$ans}x
@
qu.25.4.editing=useHTML@
qu.25.4.algorithm=$a=range(-8,-2,1);
condition:gt(abs($a),1);
$b=range(2,8,1);
$ans=$a-$b;
condition:ne($ans,0);@
qu.25.4.question=Simplify by combining like terms:
${$a}x − ${$b}x
@
qu.25.4.answer=${$ans}x@
qu.26.topic=2_7 Combine Like Terms B@
qu.26.1.mode=Formula@
qu.26.1.name=az + b + cz - d@
qu.26.1.comment=Simplify each expression:
${$a}z + $b + ${$c}z − $d
Combine like terms.
${$a}z + ${$c}z + $b − $d
${$ac}z − $bd
@
qu.26.1.editing=useHTML@
qu.26.1.algorithm=$a=range(2,8,1);
$b=range(2,8,1);
$c=range(2,8,1);
$d=range(2,8,1);
condition:lt($b,$d);
$ac=$a+$c;
$bd=abs($b-$d);@
qu.26.1.question=Simplify each expression:
${$a}z + $b + ${$c}z − $d
@
qu.26.1.answer=${$ac}z - $bd@
qu.26.2.mode=Formula@
qu.26.2.name=az + b - cz - d@
qu.26.2.comment=Simplify each expression:
${$a}z + $b − ${$c}z − $d
Combine like terms.
${$a}z − ${$c}z + $b − $d
${$ac}z + $bd
@
qu.26.2.editing=useHTML@
qu.26.2.algorithm=$a=range(2,8,1);
$b=range(2,8,1);
$c=range(2,8,1);
$d=range(2,8,1);
condition:gt($b,$d);
$ac=$a-$c;
condition:ne($ac,0);
$bd=abs($b-$d);@
qu.26.2.question=Simplify each expression:
${$a}z + $b − ${$c}z − $d
@
qu.26.2.answer=${$ac}z + $bd@
qu.26.3.mode=Formula@
qu.26.3.name=am + b + cm - dm@
qu.26.3.comment=Simplify each expression:
${$a}m + $b + ${$c}m − ${$d}m
Combine like terms.
${$a}m + ${$c}m − ${$d}m + $b
($a + $c − $d)m + $b
${$acd}m + $b
@
qu.26.3.editing=useHTML@
qu.26.3.algorithm=$a=range(2,8,1);
$b=range(2,8,1);
$c=range(2,8,1);
$d=range(2,8,1);
$acd=$a+$c-$d;
condition:ne($acd,0);@
qu.26.3.question=Simplify each expression:
${$a}m + $b + ${$c}m − ${$d}m
@
qu.26.3.answer=${$acd}m + $b@
qu.26.4.mode=Formula@
qu.26.4.name=az + b + cz - d@
qu.26.4.comment=Simplify each expression:
${$a}z + $b + ${$c}z − $d
Combine like terms.
${$a}z + ${$c}z + $b − $d
${$ac}z − $bd
@
qu.26.4.editing=useHTML@
qu.26.4.algorithm=$a=range(2,8,1);
$b=range(2,8,1);
$c=range(2,8,1);
$d=range(2,8,1);
condition:lt($b,$d);
$ac=$a+$c;
$bd=abs($b-$d);@
qu.26.4.question=Simplify each expression:
${$a}z + $b + ${$c}z − $d
@
qu.26.4.answer=${$ac}z - $bd@
qu.26.5.mode=Formula@
qu.26.5.name=az + bw - cz - dw@
qu.26.5.comment=Simplify each expression:
${$a}z + ${$b}w − ${$c}z − ${$d}w
Combine like terms.
${$a}z − ${$c}z + ${$b}w − ${$d}w
${$ac}z + ${$bd}w
@
qu.26.5.editing=useHTML@
qu.26.5.algorithm=$a=range(2,8,1);
$b=range(2,8,1);
$c=range(2,8,1);
$d=range(2,8,1);
condition:gt($b,$d);
$ac=$a-$c;
condition:ne($ac,0);
$bd=abs($b-$d);@
qu.26.5.question=Simplify each expression:
${$a}z + ${$b}w − ${$c}z − ${$d}w
@
qu.26.5.answer=${$ac}z + ${$bd}w@
qu.26.6.mode=Formula@
qu.26.6.name=ar - bs - cr - ds@
qu.26.6.comment=Simplify each expression:
${$a}r − ${$b}s − ${$c}r − ${$d }s
Combine like terms.
${$a}r − ${$c}r − ${$b}s − ${ $d}s
${$ac}r − ${$bd}s
@
qu.26.6.editing=useHTML@
qu.26.6.algorithm=$a=range(2,8,1);
$b=range(2,8,1);
$c=range(2,8,1);
$d=range(2,8,1);
$ac=$a-$c;
condition:ne($ac,0);
$bd=abs($b+$d);@
qu.26.6.question=Simplify each expression:
${$a}r − ${$b}s − ${$c}r − ${$d }s
@
qu.26.6.answer=${$ac}r - ${$bd}s@
qu.27.topic=2_7 Dist and Comb Like Terms C@
qu.27.1.mode=Formula@
qu.27.1.name=a(x + b) - cx (a pos)@
qu.27.1.comment=Simplify each expression:
$a(x + $b) − ${$c}x
Distribute.
${$a}x + $ab − ${$c}x
Combine like terms.
${$ac}x + $ab
@
qu.27.1.editing=useHTML@
qu.27.1.algorithm=$a=range(3,8,1);
$b=range(2,9,1);
$c=range(3,8,1);
condition:ne($a,$c);
$ac=$a-$c;
$ab=$a*$b;@
qu.27.1.question=Simplify each expression:
$a(x + $b) − ${$c}x
@
qu.27.1.answer=${$ac}x + $ab@
qu.27.2.mode=Formula@
qu.27.2.name=a(x + b) - cx (a neg)@
qu.27.2.comment=Simplify each expression:
$a(x + $b) − ${$c}x
Distribute.
${$a}x − $ab − ${$c}x
Combine like terms.
${$ac}x − $ab
@
qu.27.2.editing=useHTML@
qu.27.2.algorithm=$a=range(-8,-3,1);
$b=range(2,9,1);
$c=range(3,8,1);
condition:ne($a,$c);
$ac=$a-$c;
$ab=abs($a*$b);@
qu.27.2.question=Simplify each expression:
$a(x + $b) − ${$c}x
@
qu.27.2.answer=${$ac}x - $ab@
qu.27.3.mode=Formula@
qu.27.3.name=a(x - b) - c (a pos)@
qu.27.3.comment=Simplify each expression:
$a(x − $b) − $c
Distribute.
${$a}x − $ab − $c
Combine like terms.
${$a}x − $abc
@
qu.27.3.editing=useHTML@
qu.27.3.algorithm=$a=range(3,8,1);
$b=range(2,9,1);
$c=range(3,8,1);
condition:ne($b,$c);
$ab=abs($a*$b);
$abc=$ab+$c;@
qu.27.3.question=Simplify each expression:
$a(x − $b) − $c
@
qu.27.3.answer=${$a}x - $abc@
qu.27.4.mode=Formula@
qu.27.4.name=a(x + b) + cx - d (a pos)@
qu.27.4.comment=Simplify each expression:
$a(x + $b) + ${$c}x − $d
Distribute.
${$a}x + $ab + ${$c}x − $d
Combine like terms.
${$ac}x + $abd
@
qu.27.4.editing=useHTML@
qu.27.4.algorithm=$a=range(3,8,1);
$b=range(2,9,1);
$c=range(3,8,1);
$d=range(5,12,1);
$ac=$a+$c;
$ab=abs($a*$b);
condition:ne($ab,$d);
$abd=$ab-$d;@
qu.27.4.question=Simplify each expression:
$a(x + $b) + ${$c}x − $d
@
qu.27.4.answer=${$ac}x + $abd@
qu.27.5.mode=Formula@
qu.27.5.name=a(x + b) + cx + d (a neg)@
qu.27.5.comment=Simplify each expression:
$a(x + $b) + ${$c}x + $d
Distribute.
${$a}x − $ab + ${$c}x + $d
Combine like terms.
${$ac}x − $abd
@
qu.27.5.editing=useHTML@
qu.27.5.algorithm=$a=range(-8,-3,1);
$b=range(2,9,1);
$c=range(3,8,1);
$d=range(5,12,1);
$ac=$a+$c;
condition:ne($ac,0);
$ab=abs($a*$b);
$abd=$ab-$d;
condition:gt($ab,$d);@
qu.27.5.question=Simplify each expression:
$a(x + $b) + ${$c}x + $d
@
qu.27.5.answer=${$ac}x - $abd@
qu.27.6.mode=Formula@
qu.27.6.name=cx + a(x + b) - d (a pos)@
qu.27.6.comment=Simplify each expression:
${$c}x + $a(x + $b) − $d
Distribute.
${$c}x + ${$a}x + $ab − $d
Combine like terms.
${$ac}x + $abd
@
qu.27.6.editing=useHTML@
qu.27.6.algorithm=$a=range(3,8,1);
$b=range(2,9,1);
$c=range(3,8,1);
$d=range(5,12,1);
$ac=$a+$c;
$ab=abs($a*$b);
condition:ne($ab,$d);
$abd=$ab-$d;@
qu.27.6.question=Simplify each expression:
${$c}x + $a(x + $b) − $d
@
qu.27.6.answer=${$ac}x + $abd@
qu.28.topic=2_8 Match Coordinate Points@
qu.28.1.mode=Matching@
qu.28.1.name=Matching1@
qu.28.1.editing=useHTML@
qu.28.1.format.columns=3@
qu.28.1.question=Match each ordered pair with the point on the graph below:
@
qu.28.1.term.1=A@
qu.28.1.term.1.def.1=(-5, 4)@
qu.28.1.term.2=B@
qu.28.1.term.2.def.1=(0, 4)@
qu.28.1.term.3=C@
qu.28.1.term.3.def.1=(3, 2)@
qu.28.1.term.4=D@
qu.28.1.term.4.def.1=(2, -5)@
qu.28.1.term.5=E@
qu.28.1.term.5.def.1=(-3, -1)@
qu.28.1.term.6=F@
qu.28.1.term.6.def.1=(-1, 0)@
qu.28.2.mode=Matching@
qu.28.2.name=Matching2@
qu.28.2.editing=useHTML@
qu.28.2.format.columns=3@
qu.28.2.question=Match each ordered pair with the point on the graph below:
@
qu.28.2.term.1=A@
qu.28.2.term.1.def.1=(4, 5)@
qu.28.2.term.2=B@
qu.28.2.term.2.def.1=(0, -1)@
qu.28.2.term.3=C@
qu.28.2.term.3.def.1=(3, -2)@
qu.28.2.term.4=D@
qu.28.2.term.4.def.1=(-2, -4)@
qu.28.2.term.5=E@
qu.28.2.term.5.def.1=(-4, 1)@
qu.28.2.term.6=F@
qu.28.2.term.6.def.1=(2, 0)@
qu.29.topic=2_8 Find Coordinate Points@
qu.29.1.mode=Ntuple@
qu.29.1.name=Graph 1 Point A@
qu.29.1.editing=useHTML@
qu.29.1.question=
Write the coordinates for point A on the graph.@
qu.29.1.answer=(-5, 4)@
qu.29.2.mode=Ntuple@
qu.29.2.name=Graph 1 Point B@
qu.29.2.editing=useHTML@
qu.29.2.question=
Write the coordinates for point B on the graph.@
qu.29.2.answer=(0, 4)@
qu.29.3.mode=Ntuple@
qu.29.3.name=Graph 1 Point C@
qu.29.3.editing=useHTML@
qu.29.3.question=
Write the coordinates for point C on the graph.@
qu.29.3.answer=(3, 2)@
qu.29.4.mode=Ntuple@
qu.29.4.name=Graph 1 Point D@
qu.29.4.editing=useHTML@
qu.29.4.question=
Write the coordinates for point D on the graph.@
qu.29.4.answer=(2, -5)@
qu.29.5.mode=Ntuple@
qu.29.5.name=Graph 1 Point E@
qu.29.5.editing=useHTML@
qu.29.5.question=
Write the coordinates for point E on the graph.@
qu.29.5.answer=(-3, -1)@
qu.29.6.mode=Ntuple@
qu.29.6.name=Graph 1 Point F@
qu.29.6.editing=useHTML@
qu.29.6.question=
Write the coordinates for point F on the graph.@
qu.29.6.answer=(-1, 0)@
qu.29.7.mode=Ntuple@
qu.29.7.name=Graph 2 Point A@
qu.29.7.editing=useHTML@
qu.29.7.question=
Write the coordinates for point A on the graph.@
qu.29.7.answer=(4, 5)@
qu.29.8.mode=Ntuple@
qu.29.8.name=Graph 2 Point B@
qu.29.8.editing=useHTML@
qu.29.8.question=
Write the coordinates for point B on the graph.@
qu.29.8.answer=(0, -1)@
qu.29.9.mode=Ntuple@
qu.29.9.name=Graph 2 Point C@
qu.29.9.editing=useHTML@
qu.29.9.question=
Write the coordinates for point C on the graph.@
qu.29.9.answer=(3, -2)@
qu.29.10.mode=Ntuple@
qu.29.10.name=Graph 2 Point D@
qu.29.10.editing=useHTML@
qu.29.10.question=
Write the coordinates for point D on the graph.@
qu.29.10.answer=(-2, -4)@
qu.29.11.mode=Ntuple@
qu.29.11.name=Graph 2 Point E@
qu.29.11.editing=useHTML@
qu.29.11.question=
Write the coordinates for point E on the graph.@
qu.29.11.answer=(-4, 1)@
qu.29.12.mode=Ntuple@
qu.29.12.name=Graph 2 Point F@
qu.29.12.editing=useHTML@
qu.29.12.question=
Write the coordinates for point F on the graph.@
qu.29.12.answer=(2, 0)@
