Question 1

Add or subtract as indicated.
-$\frac { 1 } { 10 } - \left( - \frac { 1 } { 2 } \right)$

Accepted Answer

A)  $- \frac { 2 } { 5 }$ 
B)  $\frac { 2 } { 5 }$ 
C)  $- \frac { 3 } { 5 }$ 
D)  $\frac { 3 } { 5 }$ 
A)  $- \frac { 2 } { 5 }$ 
B)  $\frac { 2 } { 5 }$ 
C)  $- \frac { 3 } { 5 }$ 
D)  $\frac { 3 } { 5 }$

Question 2

Write the sentence as an equation.
-The quotient of 99 and  x  amounts to 11 .

Accepted Answer

A)   99x=11 
B)   $\frac { x } { 99 }$=11 
C)   99-x=11 
D)   $\frac { 99 } { x }$=11 
A)   99x=11 
B)   $\frac { x } { 99 }$=11 
C)   99-x=11 
D)   $\frac { 99 } { x }$=11

Question 3

Write the set in roster form.
-$\{ x \mid x$ is an integer greater than  -6} .

Accepted Answer

A)   {-7,-8,-9} 
B)   {-5,-4,-3,-2} 
C)   {-5,-4,-3, ...} 
D)   {-7,-8,-9, ...} 
A)   {-7,-8,-9} 
B)   {-5,-4,-3,-2} 
C)   {-5,-4,-3, ...} 
D)   {-7,-8,-9, ...}

Question 4

Simplify the expression.
-$\frac { | 3 ( - 2 ) | - | 1 - 12 | } { - 110 }$

Accepted Answer

A)  $- \frac { 1 } { 22 }$ 
B)   $\frac { 17 } { 110 }$ 
C)  $\frac { 1 } { 22 }$ 
D)  $- \frac { 17 } { 110 }$ 
A)  $- \frac { 1 } { 22 }$ 
B)   $\frac { 17 } { 110 }$ 
C)  $\frac { 1 } { 22 }$ 
D)  $- \frac { 17 } { 110 }$

Question 5

Use the product rule to simplify the expression.
-$( - 2 ) ^ { 7 } \cdot ( - 2 ) ^ { 4 }$

Accepted Answer

A)  $211$ 
B)  $4 ^ { 11 }$ 
C)  $( - 2 ) ^ { 11 }$ 
D)  $- 428$ 
A)  $211$ 
B)  $4 ^ { 11 }$ 
C)  $( - 2 ) ^ { 11 }$ 
D)  $- 428$

Question 6

Multiply or divide as indicated.
- -7(-9)

Accepted Answer

A)   -72 
B)  72 
C)  63 
D)   -63 
A)   -72 
B)  72 
C)  63 
D)   -63

Question 7

Multiply or divide as indicated.
- -3(-7)(4)

Accepted Answer

A)   -84 
B)  184 
C)  84 
D)  74 
A)   -84 
B)  184 
C)  84 
D)  74

Question 8

Determine whether the statement is true or false.
-$( - 4 ) ( 8 ) ( 0 ) = \frac { ( - 8 ) } { 0 }$

Accepted Answer

A) True 
 B)False

Question 9

Simplify the expression.
-$| 7 ( - 1 ) | - | 1 - 6 |$

Accepted Answer

A)  2 
B)  12 
C)   -12 
D)   -2 
A)  2 
B)  12 
C)   -12 
D)   -2

Question 10

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l } 
\text { distributive } & \text { absolute value } & \text { inequality } & \text { algebraic expression } \
\text { real } & \text { opposite } & \text { commutative } & \text { exponent } \
\text { recinrocals } & \text { associative } & \text { whole } & \text { variable }
\end{array}$$
-If a number corresponds to a point on the number line, we know that number is a(n) ______ number.

Accepted Answer

A)  variable 
B)  whole 
C)  real 
D)  absolute value 
A)  variable 
B)  whole 
C)  real 
D)  absolute value

Question 11

Find the value of the expression.
-$( - 2 ) ^ { 3 }$

Accepted Answer

A)  8 
B)   -6 
C)   -4 
D)   -8 
A)  8 
B)   -6 
C)   -4 
D)   -8

Question 12

Simplify the expression.
-$( \sqrt [ 3 ] { 27 } ) ( - 9 ) - ( \sqrt { 25 } ) ( - 4 )$

Accepted Answer

A)  2 
B)   -47 
C)  7 
D)   -7 
A)  2 
B)   -47 
C)  7 
D)   -7

Question 13

Simplify the expression.
-44 ÷ 2(10 - 5)

Accepted Answer

A)  110 
B)  4400 
C)  34 
D)  19 
A)  110 
B)  4400 
C)  34 
D)  19

Question 14

Simplify. Write the answer using positive exponents only.
-$\left( x ^ { - 1 } y ^ { 4 } \right) ^ { - 2 }$

Accepted Answer

A)  $\frac { x ^ { 2 } } { y ^ { 8 } }$ 
B)  $\frac { y ^ { 2 } } { x ^ { - 3 } }$ 
C)  $\frac { 1 } { x ^ { 2 } y ^ { 8 } }$ 
D)  $\frac { x ^ { - 3 } } { y ^ { 2 } }$ 
A)  $\frac { x ^ { 2 } } { y ^ { 8 } }$ 
B)  $\frac { y ^ { 2 } } { x ^ { - 3 } }$ 
C)  $\frac { 1 } { x ^ { 2 } y ^ { 8 } }$ 
D)  $\frac { x ^ { - 3 } } { y ^ { 2 } }$

Question 15

Simplify and write with positive exponents only.
-$\frac { 3 x ^ { - 6 } } { x ^ { 3 } }$

Accepted Answer

A)  $\frac { 1 } { 3 x ^ { 3 } }$ 
B)  $3 x ^ { 9 }$ 
C)  $\frac { 1 } { 3 \times ^ { 18 } }$ 
D)  $\frac { 3 } { x ^ { 9 } }$ 
A)  $\frac { 1 } { 3 x ^ { 3 } }$ 
B)  $3 x ^ { 9 }$ 
C)  $\frac { 1 } { 3 \times ^ { 18 } }$ 
D)  $\frac { 3 } { x ^ { 9 } }$

Question 16

Evaluate the expression for the given values.
-$- x ^ { 2 } - 3 y$ when  x=-2  and  y=-4

Accepted Answer

A)  10 
B)   -16 
C)   -8 
D)  8 
A)  10 
B)   -16 
C)   -8 
D)  8

Question 17

Use an associative property to write an equivalent expression.
-$( 8 t ) \cdot m$

Accepted Answer

A)  $\mathrm { m } \cdot ( 8 \mathrm { t } )$ 
B)  $m \cdot ( t \cdot 8 )$ 
C)  $( t \cdot 8 ) \cdot m$ 
D)  $8 ( t \cdot m )$ 
A)  $\mathrm { m } \cdot ( 8 \mathrm { t } )$ 
B)  $m \cdot ( t \cdot 8 )$ 
C)  $( t \cdot 8 ) \cdot m$ 
D)  $8 ( t \cdot m )$

Question 18

Simplify the expression.
-$- 8 + 60 \div ( - 4 )$

Accepted Answer

A)   -23 
B)   -13 
C)  23 
D)  13 
A)   -23 
B)   -13 
C)  23 
D)  13

Question 19

Simplify. Write the answer using positive exponents only.
-$\left( \frac { 4 y ^ { - 2 } } { x ^ { 6 } } \right) ^ { 2 } \left( \frac { 4 x ^ { - 6 } } { y ^ { - 1 } } \right) ^ { - 1 }$

Accepted Answer

A)  $\frac { 4 x ^ { 6 } } { y ^ { 5 } }$ 
B)  $\frac { 4 } { y ^ { 5 } }$ 
C)  $\frac { 4 } { x ^ { 6 } y ^ { 5 } }$ 
D)  $\frac { 4 y ^ { 5 } } { x ^ { 6 } }$ 
A)  $\frac { 4 x ^ { 6 } } { y ^ { 5 } }$ 
B)  $\frac { 4 } { y ^ { 5 } }$ 
C)  $\frac { 4 } { x ^ { 6 } y ^ { 5 } }$ 
D)  $\frac { 4 y ^ { 5 } } { x ^ { 6 } }$

Question 20

Use the product rule to simplify the expression.
-$y \cdot y ^ { 9 }$

Accepted Answer

A)  $2 \mathrm { y } ^ { 10 }$ 
B)  $2 \mathrm { y } ^ { 9 }$ 
C)  $y ^ { 9 }$ 
D)  $y ^ { 10 }$ 
A)  $2 \mathrm { y } ^ { 10 }$ 
B)  $2 \mathrm { y } ^ { 9 }$ 
C)  $y ^ { 9 }$ 
D)  $y ^ { 10 }$

Add or subtract as indicated. - $\frac { 1 } { 10 } - \left( - \frac { 1 } { 2 } \right)$

Write the sentence as an equation. -The quotient of 99 and x amounts to 11 .

Write the set in roster form. - $\{ x \mid x$ is an integer greater than -6} .

Simplify the expression. - $\frac { | 3 ( - 2 ) | - | 1 - 12 | } { - 110 }$

Use the product rule to simplify the expression. - $( - 2 ) ^ { 7 } \cdot ( - 2 ) ^ { 4 }$

Multiply or divide as indicated. - -7(-9)

Multiply or divide as indicated. - -3(-7)(4)

Determine whether the statement is true or false. - $( - 4 ) ( 8 ) ( 0 ) = \frac { ( - 8 ) } { 0 }$

Simplify the expression. - $| 7 ( - 1 ) | - | 1 - 6 |$

Fill in the blank with one of the words or phrases listed below. distributive absolute value inequality algebraic expression real opposite commutative exponent recinrocals associative whole variable -If a number corresponds to a point on the number line, we know that number is a(n) ______ number.

Find the value of the expression. - $( - 2 ) ^ { 3 }$

Simplify the expression. - $( \sqrt [ 3 ] { 27 } ) ( - 9 ) - ( \sqrt { 25 } ) ( - 4 )$

Simplify the expression. -44 ÷ 2(10 - 5)

Simplify. Write the answer using positive exponents only. - $\left( x ^ { - 1 } y ^ { 4 } \right) ^ { - 2 }$

Simplify and write with positive exponents only. - $\frac { 3 x ^ { - 6 } } { x ^ { 3 } }$

Evaluate the expression for the given values. - $- x ^ { 2 } - 3 y$ when x=-2 and y=-4

Use an associative property to write an equivalent expression. - $( 8 t ) \cdot m$

Simplify the expression. - $- 8 + 60 \div ( - 4 )$

Simplify. Write the answer using positive exponents only. - $\left( \frac { 4 y ^ { - 2 } } { x ^ { 6 } } \right) ^ { 2 } \left( \frac { 4 x ^ { - 6 } } { y ^ { - 1 } } \right) ^ { - 1 }$

Use the product rule to simplify the expression. - $y \cdot y ^ { 9 }$

Equations, Inequalities, and Problem Solving

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Fractions

Filters

Exam 1: Real Numbers and Algebraic Expressions

Add or subtract as indicated. - 110−(−12)\frac { 1 } { 10 } - \left( - \frac { 1 } { 2 } \right)101​−(−21​)

Write the sentence as an equation. -The quotient of 99 and x amounts to 11 .

Write the set in roster form. - {x∣x\{ x \mid x{x∣x is an integer greater than -6} .

Simplify the expression. - ∣3(−2)∣−∣1−12∣−110\frac { | 3 ( - 2 ) | - | 1 - 12 | } { - 110 }−110∣3(−2)∣−∣1−12∣​

Use the product rule to simplify the expression. - (−2)7⋅(−2)4( - 2 ) ^ { 7 } \cdot ( - 2 ) ^ { 4 }(−2)7⋅(−2)4