Question 1

Evaluate the expression when x = 2, y = 1, and z = 4.
-$3 z ^ { 2 }$

Accepted Answer

A)  24 
B)  48 
C)  18 
D)  19 
A)  24 
B)  48 
C)  18 
D)  19

Question 2

Translate the phrase to an expression and simplify.
-Subtract 3 from -7.

Accepted Answer

A)  -10 
B)  4 
C)  -4 
D)  10 
A)  -10 
B)  4 
C)  -4 
D)  10

Question 3

Write the fraction in lowest terms.
-$\frac { 30 } { 75 }$

Accepted Answer

A)  $\frac { 2 } { 5 }$ 
B)  $\frac { 2 } { 15 }$ 
C)  $\frac { 30 } { 75 }$ 
D)  $\frac { 15 } { 5 }$ 
A)  $\frac { 2 } { 5 }$ 
B)  $\frac { 2 } { 15 }$ 
C)  $\frac { 30 } { 75 }$ 
D)  $\frac { 15 } { 5 }$

Question 4

Add.
-$3 + ( - 14 )$

Accepted Answer

A)  $- 11$ 
B)  17 
C)  $- 17$ 
D)  11 
A)  $- 11$ 
B)  17 
C)  $- 17$ 
D)  11

Question 5

Use the distributive property to write the sum as a product.
-$( - 1 ) \cdot 6 + ( - 1 ) \cdot \mathrm { c }$

Accepted Answer

A)  $1 ( 6 + c )$ 
B)  $- 1 ( 6 c )$ 
C)  $- 1 ( 6 - c )$ 
D)  $- 1 ( 6 + c )$ 
A)  $1 ( 6 + c )$ 
B)  $- 1 ( 6 c )$ 
C)  $- 1 ( 6 - c )$ 
D)  $- 1 ( 6 + c )$

Question 6

Decide whether the given number is a solution of the given equation.
-Is 2 a solution of 9x + 9 = 29?

Accepted Answer

A) True 
 B)False

Question 7

Solve. Simplify the answer.
-The circle graph shows the fraction of books read by grades one through five. What fraction of books was NOT read by the fifth and third grades?

Accepted Answer

A)  $\frac { 19 } { 25 }$ 
B)  $\frac { 4 } { 5 }$ 
C)  $\frac { 11 } { 25 }$ 
D)  $\frac { 14 } { 25 }$ 
A)  $\frac { 19 } { 25 }$ 
B)  $\frac { 4 } { 5 }$ 
C)  $\frac { 11 } { 25 }$ 
D)  $\frac { 14 } { 25 }$

Question 8

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$2 ( 7 \mathrm { r } + 2 + 7 \mathrm {~s} )$

Accepted Answer

A)  $14 \mathrm { r } + 2 + 7 \mathrm {~s}$ 
B)  $14 \mathrm { r } + 4 + 14 \mathrm {~s}$ 
C)  $14 \mathrm { r } + 4 + 7 \mathrm {~s}$ 
D)  $14 \mathrm { r } + 2 + 14 \mathrm {~s}$ 
A)  $14 \mathrm { r } + 2 + 7 \mathrm {~s}$ 
B)  $14 \mathrm { r } + 4 + 14 \mathrm {~s}$ 
C)  $14 \mathrm { r } + 4 + 7 \mathrm {~s}$ 
D)  $14 \mathrm { r } + 2 + 14 \mathrm {~s}$

Question 9

Write the fraction in lowest terms.
-$\frac { 11 } { 23 }$

Accepted Answer

A)  $\frac { 11 } { 5 }$ 
B)  $\frac { 5 } { 11 }$ 
C)  $\frac { 1 } { 23 }$ 
D)  $\frac { 11 } { 23 }$ 
A)  $\frac { 11 } { 5 }$ 
B)  $\frac { 5 } { 11 }$ 
C)  $\frac { 1 } { 23 }$ 
D)  $\frac { 11 } { 23 }$

Question 10

Find the opposite (additive inverse), and the reciprocal (multiplicative inverse). Assume that the value of an expression is
not 0.
-Expression: -m Opposite:----Reciprocal:----

Accepted Answer

A)  Opposite: $\frac { 1 } { \mathrm {~m} }$
Reciprocal: m 
B)  Opposite: $m$
Reciprocal: $\frac { 1 } { \mathrm {~m} }$ 
C)  Opposite: $- \frac { 1 } { m }$
Reciprocal: m 
D)  Opposite: m
Reciprocal: $- \frac { 1 } { \mathrm {~m} }$ 
A)  Opposite: $\frac { 1 } { \mathrm {~m} }$
Reciprocal: m 
B)  Opposite: $m$
Reciprocal: $\frac { 1 } { \mathrm {~m} }$ 
C)  Opposite: $- \frac { 1 } { m }$
Reciprocal: m 
D)  Opposite: m
Reciprocal: $- \frac { 1 } { \mathrm {~m} }$

Question 11

Insert , or = to make the statement true.
-- | - 20 |___ | - 32 |

Accepted Answer

A)   
C)  $=$ 
A)   
C)  $=$

Question 12

Find the additive inverse or opposite.
-$\frac { 5 } { 7 }$

Accepted Answer

A)  $- \frac { 7 } { 5 }$ 
B)  $\frac { 7 } { 5 }$ 
C)  $- \frac { 5 } { 7 }$ 
D)  $\frac { 5 } { 7 }$ 
A)  $- \frac { 7 } { 5 }$ 
B)  $\frac { 7 } { 5 }$ 
C)  $- \frac { 5 } { 7 }$ 
D)  $\frac { 5 } { 7 }$

Question 13

$21 > 25$

Accepted Answer

A) True 
 B)False

Question 14

Insert  , or = to make the statement true.
-

Accepted Answer

A) = 
B)  
A) = 
B)

Question 15

Evaluate.
-$9 ^ { 3 }$

Accepted Answer

A)  512 
B)  27 
C)  729 
D)  19,683 
A)  512 
B)  27 
C)  729 
D)  19,683

Question 16

Add or subtract as indicated. Write the answer in lowest terms.
-$\frac { 5 } { 8 } + \frac { 4 } { 7 }$

Accepted Answer

A)  $\frac { 9 } { 56 }$ 
B)  $\frac { 67 } { 56 }$ 
C)  $\frac { 3 } { 5 }$ 
D)  $\frac { 17 } { 14 }$ 
A)  $\frac { 9 } { 56 }$ 
B)  $\frac { 67 } { 56 }$ 
C)  $\frac { 3 } { 5 }$ 
D)  $\frac { 17 } { 14 }$

Question 17

Write the sentence as a mathematical statement.
-Nine is greater than or equal to three.

Accepted Answer

A)  $9 = 3$ 
B)  $9 \geq 3$ 
C)  $9 \leq 3$ 
D)  $9 > 3$ 
A)  $9 = 3$ 
B)  $9 \geq 3$ 
C)  $9 \leq 3$ 
D)  $9 > 3$

Question 18

Multiply or divide as indicated. Write the answer in lowest terms.
-$\frac { 5 } { 3 } \div 20$

Accepted Answer

A)  $33 \frac { 1 } { 3 }$ 
B)  $\frac { 1 } { 12 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  12 
A)  $33 \frac { 1 } { 3 }$ 
B)  $\frac { 1 } { 12 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  12

Question 19

Add.
-$| - 17 | + 28$

Accepted Answer

A)  11 
B)  $- 45$ 
C)  $- 11$ 
D)  45 
A)  11 
B)  $- 45$ 
C)  $- 11$ 
D)  45

Question 20

Use the commutative and associative properties to simplify the expression.
-$- \frac { 3 } { 5 } ( - 10 y )$

Accepted Answer

A)  $- 6 y$ 
B)  $- 15 y$ 
C)  $6 y$ 
D)  $2 \mathrm { y }$ 
A)  $- 6 y$ 
B)  $- 15 y$ 
C)  $6 y$ 
D)  $2 \mathrm { y }$

Evaluate the expression when x = 2, y = 1, and z = 4. - $3 z ^ { 2 }$

Translate the phrase to an expression and simplify. -Subtract 3 from -7.

Write the fraction in lowest terms. - $\frac { 30 } { 75 }$

Add. - $3 + ( - 14 )$

Use the distributive property to write the sum as a product. - $( - 1 ) \cdot 6 + ( - 1 ) \cdot \mathrm { c }$

Decide whether the given number is a solution of the given equation. -Is 2 a solution of 9x + 9 = 29?

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $2 ( 7 \mathrm { r } + 2 + 7 \mathrm {~s} )$

Write the fraction in lowest terms. - $\frac { 11 } { 23 }$

Find the opposite (additive inverse), and the reciprocal (multiplicative inverse). Assume that the value of an expression is not 0. -Expression: -m Opposite:----Reciprocal:----

Insert <, >, or = to make the statement true. -- | - 20 |___ | - 32 |

Find the additive inverse or opposite. - $\frac { 5 } { 7 }$

$21 > 25$

Insert $< , >$ , or = to make the statement true. -

Evaluate. - $9 ^ { 3 }$

Add or subtract as indicated. Write the answer in lowest terms. - $\frac { 5 } { 8 } + \frac { 4 } { 7 }$

Write the sentence as a mathematical statement. -Nine is greater than or equal to three.

Multiply or divide as indicated. Write the answer in lowest terms. - $\frac { 5 } { 3 } \div 20$

Add. - $| - 17 | + 28$

Use the commutative and associative properties to simplify the expression. - $- \frac { 3 } { 5 } ( - 10 y )$

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 1: Review of Real Numbers

Evaluate the expression when x = 2, y = 1, and z = 4. - 3z23 z ^ { 2 }3z2

Translate the phrase to an expression and simplify. -Subtract 3 from -7.

Write the fraction in lowest terms. - 3075\frac { 30 } { 75 }7530​

Add. - 3+(−14)3 + ( - 14 )3+(−14)

Use the distributive property to write the sum as a product. - (−1)⋅6+(−1)⋅c( - 1 ) \cdot 6 + ( - 1 ) \cdot \mathrm { c }(−1)⋅6+(−1)⋅c

Decide whether the given number is a solution of the given equation. -Is 2 a solution of 9x + 9 = 29?

Solve. Simplify the answer. -The circle graph shows the fraction of books read by grades one through five. What fraction of books was NOT read by the fifth and third grades?

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - 2(7r+2+7 s)2 ( 7 \mathrm { r } + 2 + 7 \mathrm {~s} )2(7r+2+7 s)

Write the fraction in lowest terms. - 1123\frac { 11 } { 23 }2311​

Find the opposite (additive inverse), and the reciprocal (multiplicative inverse). Assume that the value of an expression is not 0. -Expression: -m Opposite:----Reciprocal:----

Insert <, >, or = to make the statement true. -- | - 20 |___ | - 32 |

Find the additive inverse or opposite. - 57\frac { 5 } { 7 }75​

21>2521 > 2521>25

Insert <,>< , ><,> , or = to make the statement true. -

Evaluate. - 939 ^ { 3 }93

Add or subtract as indicated. Write the answer in lowest terms. - 58+47\frac { 5 } { 8 } + \frac { 4 } { 7 }85​+74​

Write the sentence as a mathematical statement. -Nine is greater than or equal to three.

Multiply or divide as indicated. Write the answer in lowest terms. - 53÷20\frac { 5 } { 3 } \div 2035​÷20

Add. - ∣−17∣+28| - 17 | + 28∣−17∣+28

Use the commutative and associative properties to simplify the expression. - −35(−10y)- \frac { 3 } { 5 } ( - 10 y )−53​(−10y)

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Evaluate the expression when x = 2, y = 1, and z = 4. - $3 z ^ { 2 }$

Write the fraction in lowest terms. - $\frac { 30 } { 75 }$

Add. - $3 + ( - 14 )$

Use the distributive property to write the sum as a product. - $( - 1 ) \cdot 6 + ( - 1 ) \cdot \mathrm { c }$

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $2 ( 7 \mathrm { r } + 2 + 7 \mathrm {~s} )$

Write the fraction in lowest terms. - $\frac { 11 } { 23 }$

Find the additive inverse or opposite. - $\frac { 5 } { 7 }$

$21 > 25$

Insert $< , >$ , or = to make the statement true. -

Evaluate. - $9 ^ { 3 }$

Add or subtract as indicated. Write the answer in lowest terms. - $\frac { 5 } { 8 } + \frac { 4 } { 7 }$

Multiply or divide as indicated. Write the answer in lowest terms. - $\frac { 5 } { 3 } \div 20$

Add. - $| - 17 | + 28$

Use the commutative and associative properties to simplify the expression. - $- \frac { 3 } { 5 } ( - 10 y )$