qu.env.lastSaved= Jul 26, 2005 11:39:48 AM @ qu.env.validTest= true @ qu.1.topic=1_2_Order_of_Operations_A@ qu.1.1.question=

Evaluate the expression:

$a + $b − $c

@ qu.1.1.answer.num=$ans@ qu.1.1.answer.units=@ qu.1.1.showUnits=false@ qu.1.1.grading=exact_value@ qu.1.1.negStyle=minus@ qu.1.1.numStyle=thousands scientific dollars arithmetic@ qu.1.1.mode=Numeric@ qu.1.1.name=a+b-c@ qu.1.1.comment=

Evaluate the expression:

$a + $b − $c

Addition and subtraction is completed in order from left to right.
$a + $b − $c =
${$a+$b} − $c =
${$a+$b-$c}

@ qu.1.1.editing=useHTML@ qu.1.1.algorithm=$a=range(10,17,1); $b=range(3,9,1); $c=range(2,9,1); condition:gt($a+$b,$c); condition:not(eq($b,$c)); $ans=$a+$b-$c;@ qu.1.2.question=

Evaluate the expression:

$a − $b + $c

@ qu.1.2.answer.num=$ans@ qu.1.2.answer.units=@ qu.1.2.showUnits=false@ qu.1.2.grading=exact_value@ qu.1.2.negStyle=minus@ qu.1.2.numStyle=thousands scientific dollars arithmetic@ qu.1.2.mode=Numeric@ qu.1.2.name=a-b+c@ qu.1.2.comment=

Evaluate the expression:

$a − $b + $c

Addition and subtraction is completed in order from left to right.
$a − $b + $c =
${$a-$b} + $c =
${$a-$b+$c}

@ qu.1.2.editing=useHTML@ qu.1.2.algorithm=$a=range(10,17,1); $b=range(3,9,1); $c=range(2,9,1); $ans=$a-$b+$c@ qu.1.3.question=

Simplify the expression:

$a $b + $c − $d

@ qu.1.3.answer.num=$ans@ qu.1.3.answer.units=@ qu.1.3.showUnits=false@ qu.1.3.grading=exact_value@ qu.1.3.negStyle=minus@ qu.1.3.numStyle=thousands scientific dollars arithmetic@ qu.1.3.mode=Numeric@ qu.1.3.name=a*b+c-d@ qu.1.3.comment=

Simplify the expression:

$a $b + $c − $d

First, multiply and divide left to right.
Second, add and subtract left to right.
${$a*$b} + $c − $d
${$a*$b+$c} − $d
$ans

@ qu.1.3.editing=useHTML@ qu.1.3.algorithm=$a=range(2,5,1); $b=range(3,6,1); condition:not(eq($a,$b)); $c=range(5,8,1); $d=range(2,10,1); $ans=$a*$b+$c-$d; condition:gt($ans,0);@ qu.1.4.question=

Simplify the expression:

$c + $a $b − $d

@ qu.1.4.answer.num=$ans@ qu.1.4.answer.units=@ qu.1.4.showUnits=false@ qu.1.4.grading=exact_value@ qu.1.4.negStyle=minus@ qu.1.4.numStyle=thousands scientific dollars arithmetic@ qu.1.4.mode=Numeric@ qu.1.4.name=c+a*b-d@ qu.1.4.comment=

Simplify the expression:

$c + $a $b − $d

First, multiply and divide left to right.
Second, add and subtract left to right.
$c + ${$a*$b} − $d
${$a*$b+$c} − $d
$ans

@ qu.1.4.editing=useHTML@ qu.1.4.algorithm=$a=range(2,5,1); $b=range(3,6,1); condition:not(eq($a,$b)); $c=range(5,8,1); $d=range(2,10,1); $ans=$a*$b+$c-$d; condition:gt($ans,0);@ qu.1.5.question=

Simplify the expression:

$c + $a • $b − $d

@ qu.1.5.answer.num=$ans@ qu.1.5.answer.units=@ qu.1.5.showUnits=false@ qu.1.5.grading=exact_value@ qu.1.5.negStyle=minus@ qu.1.5.numStyle=thousands scientific dollars arithmetic@ qu.1.5.mode=Numeric@ qu.1.5.name=c+a*b-d@ qu.1.5.comment=

Simplify the expression:

$c + $a • $b − $d

First, multiply and divide left to right.
Second, add and subtract left to right.
$c + ${$a*$b} − $d
${$a*$b+$c} − $d
$ans

@ qu.1.5.editing=useHTML@ qu.1.5.algorithm=$a=range(2,5,1); $b=range(3,6,1); condition:not(eq($a,$b)); $c=range(5,8,1); $d=range(2,10,1); $ans=$a*$b+$c-$d; condition:gt($ans,0);@ qu.1.6.question=

Simplify the expression:

$c − $d + $a • $b

@ qu.1.6.answer.num=$ans@ qu.1.6.answer.units=@ qu.1.6.showUnits=false@ qu.1.6.grading=exact_value@ qu.1.6.negStyle=minus@ qu.1.6.numStyle=thousands scientific dollars arithmetic@ qu.1.6.mode=Numeric@ qu.1.6.name=c-d+a*b@ qu.1.6.comment=

Simplify the expression:

$c − $d + $a • $b

First, multiply and divide left to right.
Second, add and subtract left to right.
$c -$d + ${$a*$b}
${$c-$d} + ${$a*$b}
$ans

@ qu.1.6.editing=useHTML@ qu.1.6.algorithm=$a=range(2,5,1); $b=range(3,6,1); condition:not(eq($a,$b)); $c=range(6,12,1); $d=range(2,10,1); condition:not(eq($c,$d)); $ans=$a*$b+$c-$d; condition:gt($c-$d,0);@ qu.1.7.question=

Simplify the expression:

$a ÷ $b + $c − $d

@ qu.1.7.answer.num=$ans@ qu.1.7.answer.units=@ qu.1.7.showUnits=false@ qu.1.7.grading=exact_value@ qu.1.7.negStyle=minus@ qu.1.7.numStyle=thousands scientific dollars arithmetic@ qu.1.7.mode=Numeric@ qu.1.7.name=a/b+c-d@ qu.1.7.comment=

Simplify the expression:

$a ÷ $b + $c − $d

First, multiply and divide left to right.
Second, add and subtract left to right.
${$a/$b} + $c − $d
${$a/$b+$c} − $d
$ans

@ qu.1.7.editing=useHTML@ qu.1.7.algorithm=$b=range(3,6,1); $a=range(2,4,1)*$b; $c=range(5,8,1); $d=range(2,10,1); $ans=$a/$b+$c-$d; condition:gt($ans,0);@ qu.1.8.question=

Simplify the expression:

$a ÷ $b + $c − $d

@ qu.1.8.answer.num=$ans@ qu.1.8.answer.units=@ qu.1.8.showUnits=false@ qu.1.8.grading=exact_value@ qu.1.8.negStyle=minus@ qu.1.8.numStyle=thousands scientific dollars arithmetic@ qu.1.8.mode=Numeric@ qu.1.8.name=a/b+c-d@ qu.1.8.comment=

Simplify the expression:

$a ÷ $b + $c − $d

First, multiply and divide left to right.
Second, add and subtract left to right.
${$a/$b} + $c − $d
${$a/$b+$c} − $d
$ans

@ qu.1.8.editing=useHTML@ qu.1.8.algorithm=$b=range(3,6,1); $a=range(2,4,1)*$b; $c=range(5,8,1); $d=range(2,10,1); $ans=$a/$b+$c-$d; condition:gt($ans,0);@ qu.1.9.question=

Simplify the expression:

$c + $a ÷ $b − $d

@ qu.1.9.answer.num=$ans@ qu.1.9.answer.units=@ qu.1.9.showUnits=false@ qu.1.9.grading=exact_value@ qu.1.9.negStyle=minus@ qu.1.9.numStyle=thousands scientific dollars arithmetic@ qu.1.9.mode=Numeric@ qu.1.9.name=c+a/b-d@ qu.1.9.comment=

Simplify the expression:

$c + $a ÷ $b − $d

First, multiply and divide left to right.
Second, add and subtract left to right.
$c + ${$a/$b} − $d
${$a/$b+$c} − $d
$ans

@ qu.1.9.editing=useHTML@ qu.1.9.algorithm=$b=range(3,6,1); $a=range(2,4,1)*$b; $c=range(5,8,1); $d=range(2,10,1); $ans=$a/$b+$c-$d; condition:gt($ans,0);@ qu.1.10.question=

Simplify the expression:

$c − $d − $a ÷ $b

@ qu.1.10.answer.num=$ans@ qu.1.10.answer.units=@ qu.1.10.showUnits=false@ qu.1.10.grading=exact_value@ qu.1.10.negStyle=minus@ qu.1.10.numStyle=thousands scientific dollars arithmetic@ qu.1.10.mode=Numeric@ qu.1.10.name=c-d-a/b@ qu.1.10.comment=

Simplify the expression:

$c − $d − $a ÷ $b

First, multiply and divide left to right.
Second, add and subtract left to right.
$c − $d − ${$a/$b}
${$c-$d} − ${$a/$b}
$ans

@ qu.1.10.editing=useHTML@ qu.1.10.algorithm=$b=range(3,6,1); $a=range(2,4,1)*$b; $c=range(12,19,1); $d=range(2,10,1); $ans=$c-$d-$a/$b; condition:gt($ans,0);@ qu.2.topic=1_2_Order_of_Operations_B@ qu.2.1.question=

Evaluate the expression:

$a + $b ($c − $d)

@ qu.2.1.answer.num=$ans@ qu.2.1.answer.units=@ qu.2.1.showUnits=false@ qu.2.1.grading=exact_value@ qu.2.1.negStyle=minus@ qu.2.1.numStyle=thousands scientific dollars arithmetic@ qu.2.1.mode=Numeric@ qu.2.1.name=a+b*(c-d)@ qu.2.1.comment=

Evaluate the expression:

$a + $b ($c − $d)

First, perform operations in parenthesis ( ).
Second, multiplication and division from left to right.
Finally, addition and subtraction from left to right.
$a + $b ${$c-$d}
$a + ${$b*($c-$d)}
$ans

@ qu.2.1.editing=useHTML@ qu.2.1.algorithm=$c=range(5,9,1); $d=range(2,4,1); $a=range(3,8,1); $b=range(2,4,1); $ans=$a+$b*($c-$d); condition:gt($ans,0);@ qu.2.2.question=

Evaluate the expression:

$b • ($c − $d) + $a

@ qu.2.2.answer.num=$ans@ qu.2.2.answer.units=@ qu.2.2.showUnits=false@ qu.2.2.grading=exact_value@ qu.2.2.negStyle=minus@ qu.2.2.numStyle=thousands scientific dollars arithmetic@ qu.2.2.mode=Numeric@ qu.2.2.name=b*(c-d)+a@ qu.2.2.comment=

Evaluate the expression:

$b ($c − $d) + $a

First, perform operations in parenthesis ( ).
Second, multiplication and division from left to right.
Finally, addition and subtraction from left to right.
$b • ${$c-$d} + $a
${$b*($c-$d)} + $a
$ans

@ qu.2.2.editing=useHTML@ qu.2.2.algorithm=$c=range(5,9,1); $d=range(2,4,1); $a=range(3,8,1); $b=range(2,4,1); $ans=$a+$b*($c-$d); condition:gt($ans,0);@ qu.2.3.question=

Evaluate the expression:

$a − $b ($c − $d)

@ qu.2.3.answer.num=$ans@ qu.2.3.answer.units=@ qu.2.3.showUnits=false@ qu.2.3.grading=exact_value@ qu.2.3.negStyle=minus@ qu.2.3.numStyle=thousands scientific dollars arithmetic@ qu.2.3.mode=Numeric@ qu.2.3.name=a-b*(c-d)@ qu.2.3.comment=

Evaluate the expression:

$a − $b ($c − $d)

First, perform operations in parenthesis ( ).
Second, multiplication and division from left to right.
Finally, addition and subtraction from left to right.
$a − $b ${$c-$d}
$a − ${$b*($c-$d)}
$ans

@ qu.2.3.editing=useHTML@ qu.2.3.algorithm=$c=range(5,9,1); $d=range(2,4,1); $a=range(12,25,1); $b=range(2,4,1); $ans=$a-$b*($c-$d); condition:gt($ans,0);@ qu.2.4.question=

Evaluate the expression:

$b • ($c − $d) − $a

@ qu.2.4.answer.num=$ans@ qu.2.4.answer.units=@ qu.2.4.showUnits=false@ qu.2.4.grading=exact_value@ qu.2.4.negStyle=minus@ qu.2.4.numStyle=thousands scientific dollars arithmetic@ qu.2.4.mode=Numeric@ qu.2.4.name=b*(c-d)-a@ qu.2.4.comment=

Evaluate the expression:

$b • ($c − $d) − $a

First, perform operations in parenthesis ( ).
Second, multiplication and division from left to right.
Finally, addition and subtraction from left to right.
$b • ${$c-$d} − $a
${$b*($c-$d)} − $a
$ans

@ qu.2.4.editing=useHTML@ qu.2.4.algorithm=$c=range(5,9,1); $d=range(2,4,1); $a=range(3,8,1); $b=range(2,4,1); $ans=$b*($c-$d)-$a; condition:gt($ans,0);@ qu.2.5.question=

Evaluate the expression:

$a − $b ÷ ($c − $d)

@ qu.2.5.answer.num=$ans@ qu.2.5.answer.units=@ qu.2.5.showUnits=false@ qu.2.5.grading=exact_value@ qu.2.5.negStyle=minus@ qu.2.5.numStyle=thousands scientific dollars arithmetic@ qu.2.5.mode=Numeric@ qu.2.5.name=a-b/(c-d)@ qu.2.5.comment=

Evaluate the expression:

$a − $b ÷ ($c − $d)

First, perform operations in parenthesis ( ).
Second, multiplication and division from left to right.
Finally, addition and subtraction from left to right.
$a − $b ÷ ${$c-$d}
$a − ${$b/($c-$d)}
$ans

@ qu.2.5.editing=useHTML@ qu.2.5.algorithm=$c=range(5,9,1); $d=range(2,4,1); $a=range(12,25,1); $b=($c-$d)*range(2,5,1); $ans=$a-$b/($c-$d); condition:gt($ans,0);@ qu.2.6.question=

Evaluate the expression:

$a • [$b − ($c − $d)]

@ qu.2.6.answer.num=$ans@ qu.2.6.answer.units=@ qu.2.6.showUnits=false@ qu.2.6.grading=exact_value@ qu.2.6.negStyle=minus@ qu.2.6.numStyle=thousands scientific dollars arithmetic@ qu.2.6.mode=Numeric@ qu.2.6.name=a*[b-(c-d)]@ qu.2.6.comment=

Evaluate the expression:

$a • [$b − ($c − $d)]

First, perform operations in inner parenthesis ( ) followed by outer [ ]'s.
Second, multiplication and division from left to right.
Finally, addition and subtraction from left to right.
$a • [$b − ${$c-$d}]
$a • ${$b-($c-$d)}
$ans

@ qu.2.6.editing=useHTML@ qu.2.6.algorithm=$c=range(5,9,1); $d=range(2,4,1); $a=range(3,8,1); $b=range(2,7,1)+($c-$d); $ans=$a*($b-($c-$d)); condition:gt($ans,0);@ qu.3.topic=1_2_Order_of_Operations_C@ qu.3.1.question=

Evaluate the expression:

($a − $b) • $c

@ qu.3.1.answer.num=$ans@ qu.3.1.answer.units=@ qu.3.1.showUnits=false@ qu.3.1.grading=exact_value@ qu.3.1.negStyle=minus@ qu.3.1.numStyle=thousands scientific dollars arithmetic@ qu.3.1.mode=Numeric@ qu.3.1.name=Decimals (a - b) * c@ qu.3.1.comment=

Evaluate the expression:

($a − $b) • $c

First, perform the operations in the parenthesis.
Second, multiply and divide from left to right.
${$a-$b} • $c
$ans@ qu.3.1.editing=useHTML@ qu.3.1.algorithm=$a=range(7.1,9.5,.1); $b=range(2.1,6.9,.1); $c=range(3,7,1); $ans=($a-$b)*$c;@ qu.3.2.question=

Evaluate the expression:

($a − $b) ÷ $c

@ qu.3.2.answer.num=$ans@ qu.3.2.answer.units=@ qu.3.2.showUnits=false@ qu.3.2.grading=exact_value@ qu.3.2.negStyle=minus@ qu.3.2.numStyle=thousands scientific dollars arithmetic@ qu.3.2.mode=Numeric@ qu.3.2.name=Decimals (a - b) / c@ qu.3.2.comment=

Evaluate the expression:

($a − $b) ÷ $c

First, perform the operations in the parenthesis.
Second, multiply and divide from left to right.
${$a-$b} ÷ $c
$ans@ qu.3.2.editing=useHTML@ qu.3.2.algorithm=$ans=range(3,6,.1); $a=range(15.5,21.5,.1); $c=range(3,7,1); $b=$a-$ans*$c; condition:gt($b,0);@ qu.3.3.question=

Evaluate the expression:

$a + $b ÷ $c

@ qu.3.3.answer.num=$ans@ qu.3.3.answer.units=@ qu.3.3.showUnits=false@ qu.3.3.grading=exact_value@ qu.3.3.negStyle=minus@ qu.3.3.numStyle=thousands scientific dollars arithmetic@ qu.3.3.mode=Numeric@ qu.3.3.name=Decimals a + b / c@ qu.3.3.comment=

Evaluate the expression:

$a + $b ÷ $c

First, perform the operations in the parenthesis.
Second, multiply and divide from left to right.
Third, add and subtract from left to right.
$a + ${$b/$c}
$ans@ qu.3.3.editing=useHTML@ qu.3.3.algorithm=$c=range(3,8,1); $b=range(3.1,7.5,.1)*$c; $a=range(3.5,6.5,1)+$b/$c; $ans=$a+$b/$c;@ qu.3.4.question=

Evaluate the expression:

$a − $b ÷ $c

@ qu.3.4.answer.num=$ans@ qu.3.4.answer.units=@ qu.3.4.showUnits=false@ qu.3.4.grading=exact_value@ qu.3.4.negStyle=minus@ qu.3.4.numStyle=thousands scientific dollars arithmetic@ qu.3.4.mode=Numeric@ qu.3.4.name=Decimals a - b / c@ qu.3.4.comment=

Evaluate the expression:

$a − $b ÷ $c

First, perform the operations in the parenthesis.
Second, multiply and divide from left to right.
Third, add and subtract from left to right.
$a − ${$b/$c}
$ans@ qu.3.4.editing=useHTML@ qu.3.4.algorithm=$c=range(3,8,1); $b=range(3.1,7.5,.1)*$c; $a=range(3.5,6.5,1)+$b/$c; $ans=$a-$b/$c; condition:gt($ans,0);@ qu.4.topic=1_3_Evaluate_A@ qu.4.1.question=

Evaluate the expression for the given variable(s):
${$a}x + $b, x = $x

@ qu.4.1.answer.num=$ans@ qu.4.1.answer.units=@ qu.4.1.showUnits=false@ qu.4.1.grading=exact_value@ qu.4.1.negStyle=minus@ qu.4.1.numStyle=thousands scientific dollars arithmetic@ qu.4.1.mode=Numeric@ qu.4.1.name=ax + b given x@ qu.4.1.comment=

Evaluate the expression for the given variable(s):
${$a}x + $b, x = $x

Substitute $x for x
$a • $x + $b
Evaluate using the rules of order.
${$a*$x} + $b
$ans@ qu.4.1.editing=useHTML@ qu.4.1.algorithm=$a=range(3,8,1); $b=range(5,12,1); $x=range(3,9,1); $ans=$a*$x+$b;@ qu.4.2.question=

Evaluate the expression for the given variable(s):
${$a}z − $b, z = $x

@ qu.4.2.answer.num=$ans@ qu.4.2.answer.units=@ qu.4.2.showUnits=false@ qu.4.2.grading=exact_value@ qu.4.2.negStyle=minus@ qu.4.2.numStyle=thousands scientific dollars arithmetic@ qu.4.2.mode=Numeric@ qu.4.2.name=az - b given z@ qu.4.2.comment=

Evaluate the expression for the given variable(s):
${$a}z + $b, z = $x

Substitute $x for z
$a • $x − $b
Evaluate using the rules of order.
${$a*$x} − $b
$ans@ qu.4.2.editing=useHTML@ qu.4.2.algorithm=$a=range(3,8,1); $b=range(5,12,1); $x=range(3,9,1); $ans=$a*$x-$b; condition:gt($ans,0);@ qu.4.3.question=

Evaluate the expression for the given variable(s):
$b − ${$a}y, y = $x

@ qu.4.3.answer.num=$ans@ qu.4.3.answer.units=@ qu.4.3.showUnits=false@ qu.4.3.grading=exact_value@ qu.4.3.negStyle=minus@ qu.4.3.numStyle=thousands scientific dollars arithmetic@ qu.4.3.mode=Numeric@ qu.4.3.name=b - ay given y@ qu.4.3.comment=

Evaluate the expression for the given variable(s):
$b − ${$a}y, y = $x

Substitute $x for y
$b − $a • $x
Evaluate using the rules of order.
$b − ${$a*$x}
$ans@ qu.4.3.editing=useHTML@ qu.4.3.algorithm=$a=range(3,8,1); $b=range(25,65,1); $x=range(3,9,1); $ans=$b-$a*$x; condition:gt($ans,0);@ qu.5.topic=1_3_Evaluate_B@ qu.5.1.question=

Evaluate the expression for the given variables:
${$a}x + ${$b}y, x = $x, y = $y

@ 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=ax + by for x,y@ qu.5.1.comment=

Evaluate the expression for the given variables:
${$a}x + ${$b}y, x = $x, y = $y

Substitute for both variables.
$a • $x + $b • $y
Evaluate using the order of operations.
${$a*$x} + ${$b*$y}
$ans@ qu.5.1.editing=useHTML@ qu.5.1.algorithm=$a=range(3,7,2); $b=range(4,8,2); $x=range(4,8,2); $y=range(3,7,2); $ans=$a*$x+$b*$y;@ qu.5.2.question=

Evaluate the expression for the given variables:
${$a}m − ${$b}n, m = $x, n = $y

@ 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=am - bn for m,n@ qu.5.2.comment=

Evaluate the expression for the given variables:
${$a}m − ${$b}n, m = $x, n = $y

Substitute for both variables.
$a • $x − $b • $y
Evaluate using the order of operations.
${$a*$x} − ${$b*$y}
$ans@ qu.5.2.editing=useHTML@ qu.5.2.algorithm=$a=range(5,9,2); $b=range(4,8,2); $x=range(6,10,2); $y=range(3,7,2); $ans=$a*$x-$b*$y; condition:gt($ans,0);@ qu.6.topic=1_3_Write_A@ qu.6.1.mode=Formula@ qu.6.1.name=ax@ qu.6.1.comment=

Write a variable expression using x as the variable for:
the product of $a and a number.

Product means to multiply, so the expression is $a times a number or ${$a}x.@ qu.6.1.editing=useHTML@ qu.6.1.algorithm=$a=range(3,15,1);@ qu.6.1.question=

Write a variable expression using x as the variable for:
the product of $a and a number.

@ qu.6.1.answer=${$a}x@ qu.6.2.mode=Formula@ qu.6.2.name=a/x@ qu.6.2.comment=

Write a variable expression using x as the variable for:
the quotient of $a and a number.

Quotient means to divide, so the expression is $a divided a number or ${$a}/x.@ qu.6.2.editing=useHTML@ qu.6.2.algorithm=$a=range(3,15,1);@ qu.6.2.question=

Write a variable expression using x as the variable for:
the quotient of $a and a number.

@ qu.6.2.answer=${$a}/x@ qu.6.3.mode=Formula@ qu.6.3.name=x/a@ qu.6.3.comment=

Write a variable expression using x as the variable for:
the quotient of a number and $a.

Quotient means to divide, so the expression is x divided by $a or x/${$a}.@ qu.6.3.editing=useHTML@ qu.6.3.algorithm=$a=range(3,15,1);@ qu.6.3.question=

Write a variable expression using x as the variable for:
the quotient of a number and $a.

@ qu.6.3.answer=x/${$a}@ qu.6.4.mode=Formula@ qu.6.4.name=a + x@ qu.6.4.comment=

Write a variable expression using x as the variable for:
$a increased by a number.

Increased by means to add, so the expression is $a plus x or $a + x.@ qu.6.4.editing=useHTML@ qu.6.4.algorithm=$a=range(3,15,1);@ qu.6.4.question=

Write a variable expression using x as the variable for:
$a increased by a number.

@ qu.6.4.answer=${$a}+x@ qu.6.5.mode=Formula@ qu.6.5.name=a - x@ qu.6.5.comment=

Write a variable expression using x as the variable for:
$a decreased by a number.

Decreased by means to subtract, so the expression is $a minus x or $a − x.@ qu.6.5.editing=useHTML@ qu.6.5.algorithm=$a=range(3,15,1);@ qu.6.5.question=

Write a variable expression using x as the variable for:
$a decreased by a number.

@ qu.6.5.answer=${$a}-x@ qu.6.6.mode=Formula@ qu.6.6.name=x - a@ qu.6.6.comment=

Write a variable expression using x as the variable for:
a number decreased by $a.

Decreased by means to subtract, so the expression is x minus $a or x − $a.@ qu.6.6.editing=useHTML@ qu.6.6.algorithm=$a=range(3,15,1);@ qu.6.6.question=

Write a variable expression using x as the variable for:
a number decreased by $a.

@ qu.6.6.answer=x - ${$a}@ qu.7.topic=1_3_Write_B@ qu.7.1.mode=Formula@ qu.7.1.name=ax+b@ qu.7.1.comment=

Write a variable expression using x as the variable for:
the product of $a and a number is increased by $b.

Product means multiply and increased by means to add.
The expression is ${$a}x + $b.

@ qu.7.1.editing=useHTML@ qu.7.1.algorithm=$a=range(3,9,2); $b=range(2,8,2);@ qu.7.1.question=

Write a variable expression using x as the variable for:
the product of $a and a number is increased by $b.

@ qu.7.1.answer=${$a}x + $b@ qu.7.2.mode=Formula@ qu.7.2.name=ax - b@ qu.7.2.comment=

Write a variable expression using x as the variable for:
the product of $a and a number is decreased by $b.

Product means multiply and decreased by means to subtract.
The expression is ${$a}x − $b.

@ qu.7.2.editing=useHTML@ qu.7.2.algorithm=$a=range(3,9,2); $b=range(2,8,2);@ qu.7.2.question=

Write a variable expression using x as the variable for:
the product of $a and a number is decreased by $b.

@ qu.7.2.answer=${$a}x - $b@ qu.7.3.mode=Formula@ qu.7.3.name=b - ax@ qu.7.3.comment=

Write a variable expression using x as the variable for:
$b is decreased by the product of $a and a number.

Product means multiply and decreased by means to subtract.
The expression is $b − ${$a}x.

@ qu.7.3.editing=useHTML@ qu.7.3.algorithm=$a=range(3,9,2); $b=range(2,8,2);@ qu.7.3.question=

Write a variable expression using x as the variable for:
$b is decreased by the product of $a and a number.

@ qu.7.3.answer=$b - ${$a}x@ qu.8.topic=1_3_Write_C@ qu.8.1.mode=Formula@ qu.8.1.name=CDs@ qu.8.1.comment=

Write an expression for the cost of n CD's if each CD costs $c dollars plus $s dollars for shipping all CD's.

The cost of n CD's is the price multiplied by the number of CD's plus the cost of shipping or ${$c}n + $s.@ qu.8.1.editing=useHTML@ qu.8.1.algorithm=$s=range(3,6,1); $c=range(13,17,1);@ qu.8.1.question=

Write an expression for the cost of n CD's if each CD costs $c dollars plus $s dollars for shipping all CD's.

@ qu.8.1.answer=${$c}n + $s@ qu.8.2.mode=Formula@ qu.8.2.name=Students@ qu.8.2.comment=

Student caucus currently has $s members. Membership is growing by $c students every week. Write an expression for the number of student members in week w.

The amount of membership growth times the number of weeks added to the current membership is the expression ${$c}w + $s.@ qu.8.2.editing=useHTML@ qu.8.2.algorithm=$c=range(2,6,1); $s=range(13,35,1);@ qu.8.2.question=

Student caucus currently has $s members. Membership is growing by $c students every week. Write an expression for the number of student members in week w.

@ qu.8.2.answer=${$c}w + $s@ qu.8.3.mode=Formula@ qu.8.3.name=Roads@ qu.8.3.comment=

The town of Welkerville currently has $s miles of paved streets. The amount of paved streets increases by $c miles every year. Write an expression for the amount of paved streets at the end of y years.

The amount paving increases per year times the number of years added to the current amount of paved street is expression ${$c}y + $s.@ qu.8.3.editing=useHTML@ qu.8.3.algorithm=$c=range(1.1,3.9,.1); $s=range(13,35,.1);@ qu.8.3.question=

@ qu.8.3.answer=${$c}y + $s@ qu.8.4.mode=Formula@ qu.8.4.name=Saving@ qu.8.4.comment=

Xuan currently has $s dollars in a savings account. Xuan saves $c dollars every month. Write an expression for the amount of dollars Xuan has after m months.

The amount of money saved every month times the number of months added to the current amount of savings is expression ${$c}m + $s.@ qu.8.4.editing=useHTML@ qu.8.4.algorithm=$c=range(10,30,5); $s=range(100,300,5);@ qu.8.4.question=

Xuan currently has $s dollars in a savings account. Xuan saves $c dollars every month. Write an expression for the amount of dollars Xuan has after m months.

@ qu.8.4.answer=${$c}m + $s@ qu.9.topic=1_3_Write_Solve_D@ qu.9.1.question=

Write an expression for the cost of n CD's if each CD costs $c dollars plus $s dollars for shipping all CD's. Find the cost of $x CD's.

@ 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=CDs@ qu.9.1.comment=

Write an expression for the cost of n CD's if each CD costs $c dollars plus $s dollars for shipping all CD's. Find the cost of $x CD's.

The cost of n CD's is the price multiplied by the number of CD's plus the cost of shipping or ${$c}n + $s. Substituting $x for n, $c • $x + $s = ${$c*$x} + $s = $ans.@ qu.9.1.editing=useHTML@ qu.9.1.algorithm=$s=range(3,6,1); $c=range(13,17,1); $x=range(2,7,1); $ans=$c*$x+$s;@ qu.9.2.question=

Student caucus currently has $s members. Membership is growing by $c students every week. Write an expression for the number of student members in week w. Find the number of students after $x weeks.

@ 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=Students@ qu.9.2.comment=

Student caucus currently has $s members. Membership is growing by $c students every week. Write an expression for the number of student members in week w. Find the number of students after $x weeks.

The amount of membership growth times the number of weeks added to the current membership is the expression ${$c}w + $s.. Substituting $x for w, $c • $x + $s = ${$c*$x} + $s = $ans.@ qu.9.2.editing=useHTML@ qu.9.2.algorithm=$c=range(2,6,1); $s=range(13,35,1); $x=range(8,15,1); $ans=$c*$x+$s;@ qu.9.3.question=

@ 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=Roads@ qu.9.3.comment=

The amount paving increases per year times the number of years added to the current amount of paved street is expression ${$c}y + $s. Substituting $x for y, $c • $x + $s = ${$c*$x} + $s = $ans.@ qu.9.3.editing=useHTML@ qu.9.3.algorithm=$c=range(1.1,3.9,.1); $s=range(13,35,.1); $x=range(5,10,1); $ans=$c*$x+$s;@ qu.9.4.question=

Xuan currently has $s dollars in a savings account. Xuan saves $c dollars every month. Write an expression for the amount of dollars Xuan has after m months. Find the amount in the savings account after $x months.

@ 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=Saving@ qu.9.4.comment=

The amount of money saved every month times the number of months added to the current amount of savings is expression ${$c}m + $s. Substituting $x for m, $c • $x + $s = ${$c*$x} + $s = $ans.@ qu.9.4.editing=useHTML@ qu.9.4.algorithm=$c=range(10,30,5); $s=range(100,300,5); $x=range(6,12,1); $ans=$c*$x+$s;@ qu.10.topic=1_4_Powers_Matching_A@ qu.10.1.mode=Matching@ qu.10.1.name=Matching1@ qu.10.1.comment=

$a times itself n times is $aⁿ.
Therefore $a • $a • $a • $a is $a⁴.
Cubed means times itself 3 times or $a³.
Squared means times itself 2 times or $a².

@ qu.10.1.editing=useHTML@ qu.10.1.algorithm=$a=range(2,12,1);@ qu.10.1.format.columns=3@ qu.10.1.question=Match each of the numbered items in the list with the numbers in the drop-down menus:@ qu.10.1.term.1=$a⁵@ qu.10.1.term.1.def.1= $a • $a • $a • $a • $a @ qu.10.1.term.2=$a⁶@ qu.10.1.term.2.def.1= $a • $a • $a • $a • $a • $a @ qu.10.1.term.3=$a cubed@ qu.10.1.term.3.def.1= $a • $a • $a @ qu.10.1.term.4=$a squared@ qu.10.1.term.4.def.1= $a • $a @ qu.10.1.term.5=$a to the fourth@ qu.10.1.term.5.def.1= $a • $a • $a • $a @ qu.10.2.mode=Matching@ qu.10.2.name=Matching2@ qu.10.2.comment=

$a times itself n times is $aⁿ.
Therefore $a • $a • $a • $a is $a⁴.
Cubed means times itself 3 times or $a³.
Squared means times itself 2 times or $a².

@ qu.10.2.editing=useHTML@ qu.10.2.algorithm=$a=range(2,12,1);@ qu.10.2.format.columns=3@ qu.10.2.question=Match each of the numbered items in the list with the numbers in the drop-down menus:@ qu.10.2.term.1=$a⁵@ qu.10.2.term.1.def.1= $a • $a • $a • $a • $a @ qu.10.2.term.2=$a⁶@ qu.10.2.term.2.def.1= $a • $a • $a • $a • $a • $a @ qu.10.2.term.3=$a cubed@ qu.10.2.term.3.def.1= $a • $a • $a @ qu.10.2.term.4=$a squared@ qu.10.2.term.4.def.1= $a • $a @ qu.10.2.term.5=$a to the fifth@ qu.10.2.term.5.def.1= $a • $a • $a • $a • $a @ qu.11.topic=1_4_Powers_Evaluate_B@ qu.11.1.question=

Evaluate:

$a³

@ 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=Power3@ qu.11.1.comment=

Evaluate:

$a³

$a³ means $a times itself 3 times or $a • $a • $a which equals $ans.

@ qu.11.1.editing=useHTML@ qu.11.1.algorithm=$a=range(2,10,1); $ans=$a^3;@ qu.11.2.question=

Evaluate:

$a⁴

@ 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=Power4@ qu.11.2.comment=

Evaluate:

$a⁴

$a⁴ means $a times itself 4 times or $a • $a • $a • $a which equals $ans.

@ qu.11.2.editing=useHTML@ qu.11.2.algorithm=$a=range(2,10,1); $ans=$a^4;@ qu.11.3.question=

Evaluate:

$a⁵

@ 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=Power5@ qu.11.3.comment=

Evaluate:

$a⁵

$a⁵ means $a times itself 5 times or $a • $a • $a • $a •$a which equals $ans.

@ qu.11.3.editing=useHTML@ qu.11.3.algorithm=$a=range(2,10,1); $ans=$a^5;@ qu.11.4.question=

Evaluate:

$a⁶

@ 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=Power6@ qu.11.4.comment=

Evaluate:

$a⁶

$a⁶ means $a times itself 6 times or $a • $a • $a • $a • $a • $a which equals $ans.

@ qu.11.4.editing=useHTML@ qu.11.4.algorithm=$a=range(2,10,1); $ans=$a^6;@ qu.12.topic=1_4_Powers_Evaluate_C@ qu.12.1.question=

Evaluate:

($a − $b)^$p − $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=(a - b)^p + c@ qu.12.1.comment=

Evaluate:

($a − $b)^$p − $c

Perform operations in the parenthesis first.
Second, do the powers.
Third, multiplication and division left to right.
Fourth, addition and subtraction left to right.
($a − $b)^$p − $c =
${$a-$b}^$p − $c =
${($a-$b)^$p} − $c =
$ans

@ qu.12.1.editing=useHTML@ qu.12.1.algorithm=$a=range(6,9,1); $b=range(2,4,1); $p=range(3,7,1); $c=range(3,50,1); $ans=($a-$b)^$p-$c; condition:gt($ans,0);@ qu.12.2.question=

Evaluate:

($a $b)^$p − $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=(a * b)^p + c@ qu.12.2.comment=

Evaluate:

($a $b)^$p − $c

Perform operations in the parenthesis first.
Second, do the powers.
Third, multiplication and division left to right.
Fourth, addition and subtraction left to right.
($a $b)^$p − $c =
${$a*$b}^$p − $c =
${($a*$b)^$p} − $c =
$ans

@ qu.12.2.editing=useHTML@ qu.12.2.algorithm=$a=range(2,5,1); $b=range(2,4,1); $p=range(3,7,1); $c=range(3,50,1); $ans=($a*$b)^$p-$c; condition:gt($ans,0);@ qu.12.3.question=

Evaluate:

$c ÷ ($a + $b)^$p

@ 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=c / (a + b)^p@ qu.12.3.comment=

Evaluate:

$c ÷ ($a + $b)^$p

Perform operations in the parenthesis first.
Second, do the powers.
Third, multiplication and division left to right.
Fourth, addition and subtraction left to right.
$c ÷ ($a + $b)^$p =
$c ÷ ${$a + $b}^$p =
$c ÷ ${($a + $b)^$p} =
$ans

@ qu.12.3.editing=useHTML@ qu.12.3.algorithm=$a=range(2,5,1); $b=range(2,4,1); $p=range(3,5,1); $c=range(3,15,1)*($a+$b)^$p; $ans=$c/($a+$b)^$p; condition:gt($ans,0);@ qu.12.4.question=

Evaluate:

$c ÷ ($a − $b)^$p

@ 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=c / (a - b)^p@ qu.12.4.comment=

Evaluate:

$c ÷ ($a − $b)^$p

Perform operations in the parenthesis first.
Second, do the powers.
Third, multiplication and division left to right.
Fourth, addition and subtraction left to right.
$c ÷ ($a − $b)^$p =
$c ÷ ${$a-$b}^$p =
$c ÷ ${($a-$b)^$p} =
$ans

@ qu.12.4.editing=useHTML@ qu.12.4.algorithm=$a=range(6,9,1); $b=range(2,4,1); $p=range(3,5,1); $c=range(3,15,1)*($a-$b)^$p; $ans=$c/($a-$b)^$p; condition:gt($ans,0);@ qu.13.topic=1_6_Area_Image@ qu.13.1.question=

Find the area of the rectangle or square.


			$w in

	$l in

Enter units. To enter a square such as m², use the ^ key as m^2.

@ qu.13.1.answer.num=$area@ qu.13.1.answer.units=in^2@ qu.13.1.showUnits=true@ 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=Rectangle@ qu.13.1.comment=

Find the area of the rectangle or square.


			$w in

	$l in

Enter units. To enter a square such as m², use the ^ key as m^2.

Area = Length • Width
Area = $l in • $w in.
Area = $area in² entered as $area in^2

@ qu.13.1.editing=useHTML@ qu.13.1.algorithm=$l=range(8,15,1); $w=range(5,10,1); condition:lt($w,$l); $area=$l*$w;@ qu.13.2.question=

Find the area of the rectangle or square.


			$s cm

	$s cm

Enter units. To enter a square such as m², use the ^ key as m^2.

@ qu.13.2.answer.num=$area@ qu.13.2.answer.units=cm^2@ qu.13.2.showUnits=true@ 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=Square@ qu.13.2.comment=

Find the area of the rectangle or square.


			$s cm

	$s cm

Enter units. To enter a square such as m², use the ^ key as m^2.

The area of a square is side • side or s².
Area = ($s cm)²
Area = $area cm² entered as $area cm^2

@ qu.13.2.editing=useHTML@ qu.13.2.algorithm=$s=range(10,25,1); $area=$s^2;@ qu.14.topic=1_6_Perimeter_Image@ qu.14.1.question=

Find the perimeter of the rectangle or square.


			$w in

	$l in

Enter units. To enter a square such as m², use the ^ key as m^2.

@ qu.14.1.answer.num=$perimeter@ qu.14.1.answer.units=in@ qu.14.1.showUnits=true@ 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=Rectangle@ qu.14.1.comment=

Find the perimeter of the rectangle or square.


			$w in

	$l in

Enter units. To enter a square such as m², use the ^ key as m^2.

The perimeter of a rectangle is 2L + 2W.
P = 2•$l in + 2•$w in
P = ${2*$l} in + ${2*$w} in
P = $perimeter in

@ qu.14.1.editing=useHTML@ qu.14.1.algorithm=$l=range(8,15,1); $w=range(5,10,1); condition:lt($w,$l); $perimeter=2($l+$w);@ qu.14.2.question=

Find the perimeter of the rectangle or square.


			$s cm

	$s cm

Enter units. To enter a square such as m², use the ^ key as m^2.

@ qu.14.2.answer.num=$perimeter@ qu.14.2.answer.units=cm@ qu.14.2.showUnits=true@ 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=Square@ qu.14.2.comment=

Find the perimeter of the rectangle or square.


			$s cm

	$s cm

Enter units. To enter a square such as m², use the ^ key as m^2.

The perimeter of a square is 2L + 2W.
P = 2•$s cm + 2•$s cm
P = ${2*$s} cm + ${2*$s} cm
P = $perimeter cm

@ qu.14.2.editing=useHTML@ qu.14.2.algorithm=$s=range(10,25,1); $perimeter=4*$s;@ qu.15.topic=1_6_Area_Perimeter_B@ qu.15.1.question=

Find the area of the rectangle or square.

The length = $l ft and the width = $w ft.

Enter units. To enter a square such as m², use the ^ key as m^2.

@ qu.15.1.answer.num=$area@ qu.15.1.answer.units=ft^2@ qu.15.1.showUnits=true@ 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=Rectangle Area@ qu.15.1.comment=

Find the area of the rectangle or square.

The length = $l ft and the width = $w ft.

Enter units. To enter a square such as m², use the ^ key as m^2.

Area = Length • Width
Area = $l ft • $w ft.
Area = $area ft² entered as $area ft^2

@ qu.15.1.editing=useHTML@ qu.15.1.algorithm=$l=range(8,15,1); $w=range(5,10,1); condition:lt($w,$l); $area=$l*$w;@ qu.15.2.question=

Find the area of the rectangle or square.

The side length = $s m.

Enter units. To enter a square such as m², use the ^ key as m^2.

@ qu.15.2.answer.num=$area@ qu.15.2.answer.units=m^2@ qu.15.2.showUnits=true@ 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=Square Area@ qu.15.2.comment=

Find the area of the rectangle or square.

The side length = $s m.

Enter units. To enter a square such as m², use the ^ key as m^2.

The area of a square is side • side or s².
Area = ($s m)²
Area = $area m² entered as $area m^2

@ qu.15.2.editing=useHTML@ qu.15.2.algorithm=$s=range(10,25,1); $area=$s^2;@ qu.15.3.question=

Find the perimeter of the rectangle or square.

The length is $l yds and the width is $w yds.

Enter units. To enter a square such as m², use the ^ key as m^2.

@ qu.15.3.answer.num=$perimeter@ qu.15.3.answer.units=yds@ qu.15.3.showUnits=true@ 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=Rectangle Perimeter@ qu.15.3.comment=

Find the perimeter of the rectangle or square.

The length is $l yds and the width is $w yds.

Enter units. To enter a square such as m², use the ^ key as m^2.

The perimeter of a rectangle is 2L + 2W.
P = 2•$l yds + 2•$w yds
P = ${2*$l} yds + ${2*$w} yds
P = $perimeter yds

@ qu.15.3.editing=useHTML@ qu.15.3.algorithm=$l=range(8,15,1); $w=range(5,10,1); condition:lt($w,$l); $perimeter=2($l+$w);@ qu.15.4.question=

Find the perimeter of the rectangle or square.

The side length is $s ft.

Enter units. To enter a square such as m², use the ^ key as m^2.

@ qu.15.4.answer.num=$perimeter@ qu.15.4.answer.units=ft@ qu.15.4.showUnits=true@ 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=Square Perimeter@ qu.15.4.comment=

Find the perimeter of the rectangle or square.

The side length is $s ft.

Enter units. To enter a square such as m², use the ^ key as m^2.

The perimeter of a square is 2L + 2W.
P = 2•$s ft + 2•$s ft
P = ${2*$s} ft + ${2*$s} ft
P = $perimeter ft

@ qu.15.4.editing=useHTML@ qu.15.4.algorithm=$s=range(10,25,1); $perimeter=4*$s;@ qu.16.topic=1_6_Distance_A@ qu.16.1.question=

Use the distance formula to find the unknown value.

d = ?, r = $r mi/hr, t = $t hr

@ qu.16.1.answer.num=$d@ qu.16.1.answer.units=mi@ qu.16.1.showUnits=true@ 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=find d@ qu.16.1.comment=

Use the distance formula to find the unknown value.

d = ?, r = $r mi/hr, t = $t hr

d = r • t
d = $r mi/hr • $t hr
d = $d mi

@ qu.16.1.editing=useHTML@ qu.16.1.algorithm=$r=range(50,75,5); $t=range(1.5,6,.5); $d=$r*$t;@ qu.16.2.question=

Use the distance formula to find the unknown value.

d = $d ft, r = ?, t = $t sec

@ qu.16.2.answer.num=$r@ qu.16.2.answer.units=ft/sec@ qu.16.2.showUnits=true@ 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=find r@ qu.16.2.comment=

Use the distance formula to find the unknown value.

d = $d ft, r = ?, t = $t sec

d = r • t
$d ft = r • $t sec
Divide both sides by $t sec.

$d ft		= r

$t sec

r = $r ft/sec

@ qu.16.2.editing=useHTML@ qu.16.2.algorithm=$r=range(50,75,5); $t=range(1.5,6,.5); $d=$r*$t;@ qu.16.3.question=

Use the distance formula to find the unknown value.

d = $d km, r = $r km/hr, t = ?

@ qu.16.3.answer.num=$t@ qu.16.3.answer.units=hr@ qu.16.3.showUnits=true@ 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=find t@ qu.16.3.comment=

Use the distance formula to find the unknown value.

d = $d km, r = $r km/hr, t = ?

d = r • t
$d km = $r km/hr • t
Divide both sides by $r km/hr

$d km		= t

$r km/hr

t = $t hr

@ qu.16.3.editing=useHTML@ qu.16.3.algorithm=$r=range(50,75,5); $t=range(1.5,6,.5); $d=$r*$t;@ qu.17.topic=1_6_Distance_B@ qu.17.1.question=A car is driving across I-80 in Nebraska at $r miles/hr. If the trip takes $t hours, how many miles will the car travel?@ qu.17.1.answer.num=$d@ qu.17.1.answer.units=miles@ qu.17.1.showUnits=true@ 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=find d@ qu.17.1.comment=

A car is driving across I-80 in Nebraska at $r miles/hr. If the trip takes $t hours, how many miles will the car travel?

d = r • t
d = $r miles/hr • $t hr
d = $d miles

@ qu.17.1.editing=useHTML@ qu.17.1.algorithm=$r=range(60,80,5); $t=range(3,10,.5); $d=$r*$t;@ qu.17.2.question=A truck is traveling U.S. Highway 81 across Nebraska. The trucker drives $d miles in $t hours. Find the speed of the truck in miles/hour. @ qu.17.2.answer.num=$r@ qu.17.2.answer.units=miles/hour@ qu.17.2.showUnits=true@ 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=find r@ qu.17.2.comment=

A truck is traveling U.S. Highway 81 across Nebraska. The trucker drives $d miles in $t hours. Find the speed of the truck in miles/hour.

d = r • t
$d miles = r • $t hours
Divide both sides by $t hours

$d miles		= r

$t hours

r = $r miles/hour

@ qu.17.2.editing=useHTML@ qu.17.2.algorithm=$r=range(40,60,5); $t=range(3,10,.5); $d=$r*$t;@ qu.17.3.question=A Welkerville Airlines pilot is flying $d miles between Welkerville and Lincoln, NE at a speed of $r miles/hour. How long will it take to fly between the two airports. @ qu.17.3.answer.num=$t@ qu.17.3.answer.units=hours@ qu.17.3.showUnits=true@ 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=find t@ qu.17.3.comment=

A Welkerville Airlines pilot is flying $d miles between Welkerville and Lincoln, NE at a speed of $r miles/hour. How long will it take to fly between the two airports.

d = r • t
$d miles = $r miles/hour • t
Divide both sides by $r miles/hour

$d miles		= t

$r miles/hour

t = $t hours

@ qu.17.3.editing=useHTML@ qu.17.3.algorithm=$r=range(200,400,10); $t=range(1.5,3.5,.1); $d=$r*$t;@