Question 1

Identify the property illustrated by the expression.
-$9 \cdot 3 = 3 \cdot 9$

Accepted Answer

A)  commutative property of multiplication 
B)  associative property of multiplication 
C)  identity element for multiplication 
D)  distributive property 
A)  commutative property of multiplication 
B)  associative property of multiplication 
C)  identity element for multiplication 
D)  distributive property

Question 2

Multiply.
-$\frac { 17 } { 2 } ( - 12 )$

Accepted Answer

A)  29 
B)  - 102 
C)  204 
D)  $- \frac { 29 } { 2 }$ 
A)  29 
B)  - 102 
C)  204 
D)  $- \frac { 29 } { 2 }$

Question 3

Insert  , or = to make the statement true.
-$- 7$___-0

Accepted Answer

A) > B) = C) < A) > B) = C) <

Question 4

Add.
--2 + 5

Accepted Answer

A)  3 
B)  -7 
C)  7 
D)  -3 
A)  3 
B)  -7 
C)  7 
D)  -3

Question 5

Add.
-$\frac { 1 } { 8 } + \left( - \frac { 1 } { 8 } \right)$

Accepted Answer

A)  0 
B)  $- \frac { 1 } { 4 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 4 }$ 
A)  0 
B)  $- \frac { 1 } { 4 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 4 }$

Question 6

Multiply.
-$- 4 ( 3 )$

Accepted Answer

A)  $- 112$ 
B)  $- 120$ 
C)  $- 15$ 
D)  $- 12$ 
A)  $- 112$ 
B)  $- 120$ 
C)  $- 15$ 
D)  $- 12$

Question 7

Use an associative property to complete the statement.
-$9 \cdot ( \mathrm { yz } ) =$

Accepted Answer

A)  $9 \cdot ( \mathrm { zy } )$ 
B)  $( y z ) \cdot 9$ 
C)  $( 9 \mathrm { y } ) \cdot \mathrm { z }$ 
D)  $9 + ( y z )$ 
A)  $9 \cdot ( \mathrm { zy } )$ 
B)  $( y z ) \cdot 9$ 
C)  $( 9 \mathrm { y } ) \cdot \mathrm { z }$ 
D)  $9 + ( y z )$

Question 8

Solve.
-In four rounds of a card game, you get scores of 8, -2, -8, and 6. What is your final score?

Accepted Answer

A)  24 
B)  4 
C)  $- 24$ 
D)  $- 4$ 
A)  24 
B)  4 
C)  $- 24$ 
D)  $- 4$

Question 9

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.
-$0.1515 \ldots$

Accepted Answer

A)  real 
B)  natural, rational, real 
C)  irrational, real 
D)  rational, real 
A)  real 
B)  natural, rational, real 
C)  irrational, real 
D)  rational, real

Question 10

Solve.
-The price of a stock rose 9 points, fell 9 points, and again fell 10 points. What was the stock's total  change?

Accepted Answer

A)  -28 points 
B)  10 points 
C)  -10 points 
D)  28 points 
A)  -28 points 
B)  10 points 
C)  -10 points 
D)  28 points

Question 11

Evaluate.
-$\left( \frac { 1 } { 2 } \right) ^ { 4 }$

Accepted Answer

A)  2 
B)  $\frac { 1 } { 16 }$ 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 1 } { 6 }$ 
A)  2 
B)  $\frac { 1 } { 16 }$ 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 1 } { 6 }$

Question 12

Add.
-$[ 15 + ( - 2 ) ] + [ 2 + ( - 14 ) ]$

Accepted Answer

A)  25 
B)  33 
C)  $- 3$ 
D)  1 
A)  25 
B)  33 
C)  $- 3$ 
D)  1

Question 13

Multiply or divide as indicated. Write the answer in lowest terms.
-$3 \frac { 1 } { 3 } \cdot 1 \frac { 1 } { 5 }$

Accepted Answer

A)  5 
B)  $3 \frac { 2 } { 15 }$ 
C)  7 
D)  4 
A)  5 
B)  $3 \frac { 2 } { 15 }$ 
C)  7 
D)  4

Question 14

Add or subtract as indicated. Write the answer in lowest terms.
-$\frac { 46 } { 91 } - \frac { 38 } { 91 }$

Accepted Answer

A)  $\frac { 12 } { 13 }$ 
B)  $19 \frac { 19 } { 91 }$ 
C)  $\frac { 4 } { 91 }$ 
D)  $\frac { 8 } { 91 }$ 
A)  $\frac { 12 } { 13 }$ 
B)  $19 \frac { 19 } { 91 }$ 
C)  $\frac { 4 } { 91 }$ 
D)  $\frac { 8 } { 91 }$

Question 15

Multiply.
-$6 ( - 7 )$

Accepted Answer

A)  $- 42$ 
B)  $- 142$ 
C)  $- 420$ 
D)  $- 48$ 
A)  $- 42$ 
B)  $- 142$ 
C)  $- 420$ 
D)  $- 48$

Question 16

Name the property illustrated by the statement.
-$3 + ( - 3 ) = 0$

Accepted Answer

A)  identity element for addition 
B)  commutative property of addition 
C)  additive inverse property 
D)  associative property of addition 
A)  identity element for addition 
B)  commutative property of addition 
C)  additive inverse property 
D)  associative property of addition

Question 17

Solve. Simplify the answer.
-Chris rode her bicycle $11 \frac { 1 } { 2 }$ miles on Tuesday. On Thursday, she rode $6 \frac { 4 } { 9 }$ miles. What was her total biking distance for those two days?

Accepted Answer

A)  $17 \frac { 17 } { 18 } \mathrm { mi }$ 
B)  $18 \frac { 17 } { 18 } \mathrm { mi }$ 
C)  $16 \frac { 17 } { 18 } \mathrm { mi }$ 
D)  $11 \frac { 17 } { 18 } \mathrm { mi }$ 
A)  $17 \frac { 17 } { 18 } \mathrm { mi }$ 
B)  $18 \frac { 17 } { 18 } \mathrm { mi }$ 
C)  $16 \frac { 17 } { 18 } \mathrm { mi }$ 
D)  $11 \frac { 17 } { 18 } \mathrm { mi }$

Question 18

Decide whether the given number is a solution of the given equation.
-Is 9 a solution of $- 3 x + 2 = - 25$ ?

Accepted Answer

A) True 
 B)False

Question 19

Evaluate.
-$( - 6 ) ^ { 3 }$

Accepted Answer

A)  $- 216$ 
B)  18 
C)  216 
D)  $- 18$ 
A)  $- 216$ 
B)  18 
C)  216 
D)  $- 18$

Question 20

Find the opposite (additive inverse), and the reciprocal (multiplicative inverse). Assume that the value of an expression is
not 0.
-Expression: -16 Opposite: __ Reciprocal:

Accepted Answer

A)  Opposite: 16
Reciprocal: $\frac { 1 } { 16 }$ 
B)  Opposite: $- \frac { 1 } { 16 }$
Reciprocal: 16 
C)  Opposite: 16
Reciprocal: - $\frac { 1 } { 16 }$ 
D)  Opposite: $\frac { 1 } { 16 }$
Reciprocal: 16 
A)  Opposite: 16
Reciprocal: $\frac { 1 } { 16 }$ 
B)  Opposite: $- \frac { 1 } { 16 }$
Reciprocal: 16 
C)  Opposite: 16
Reciprocal: - $\frac { 1 } { 16 }$ 
D)  Opposite: $\frac { 1 } { 16 }$
Reciprocal: 16

Identify the property illustrated by the expression. - $9 \cdot 3 = 3 \cdot 9$

Multiply. - $\frac { 17 } { 2 } ( - 12 )$

Insert $< , >$ , or = to make the statement true. - $- 7$ ___-0

Add. --2 + 5

Add. - $\frac { 1 } { 8 } + \left( - \frac { 1 } { 8 } \right)$

Multiply. - $- 4 ( 3 )$

Use an associative property to complete the statement. - $9 \cdot ( \mathrm { yz } ) =$

Solve. -In four rounds of a card game, you get scores of 8, -2, -8, and 6. What is your final score?

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. - $0.1515 \ldots$

Solve. -The price of a stock rose 9 points, fell 9 points, and again fell 10 points. What was the stock's total change?

Evaluate. - $\left( \frac { 1 } { 2 } \right) ^ { 4 }$

Add. - $[ 15 + ( - 2 ) ] + [ 2 + ( - 14 ) ]$

Multiply or divide as indicated. Write the answer in lowest terms. - $3 \frac { 1 } { 3 } \cdot 1 \frac { 1 } { 5 }$

Add or subtract as indicated. Write the answer in lowest terms. - $\frac { 46 } { 91 } - \frac { 38 } { 91 }$

Multiply. - $6 ( - 7 )$

Name the property illustrated by the statement. - $3 + ( - 3 ) = 0$

Solve. Simplify the answer. -Chris rode her bicycle $11 \frac { 1 } { 2 }$ miles on Tuesday. On Thursday, she rode $6 \frac { 4 } { 9 }$ miles. What was her total biking distance for those two days?

Decide whether the given number is a solution of the given equation. -Is 9 a solution of $- 3 x + 2 = - 25$ ?

Evaluate. - $( - 6 ) ^ { 3 }$

Find the opposite (additive inverse), and the reciprocal (multiplicative inverse). Assume that the value of an expression is not 0. -Expression: -16 Opposite: __ Reciprocal:

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

Identify the property illustrated by the expression. - 9⋅3=3⋅99 \cdot 3 = 3 \cdot 99⋅3=3⋅9

Multiply. - 172(−12)\frac { 17 } { 2 } ( - 12 )217​(−12)

Insert <,>< , ><,> , or = to make the statement true. - −7- 7−7 ___-0