Question 1

Use an associative property to complete the statement.
-$( 8 x + 6 y ) + 9 z =$

Accepted Answer

A)  $8 x + 6 y + 9 z$ 
B)  $8 x + ( 6 y + 9 z )$ 
C)  $( 6 y + 8 x ) + 9 z$ 
D)  $( 8 x + 6 y + 9 z )$ 
A)  $8 x + 6 y + 9 z$ 
B)  $8 x + ( 6 y + 9 z )$ 
C)  $( 6 y + 8 x ) + 9 z$ 
D)  $( 8 x + 6 y + 9 z )$

Question 2

Simplify the expression. (Remember the order of operations.)
-$- 17 + 20 - ( - 6 ) - 3$

Accepted Answer

A)  $- 40$ 
B)  6 
C)  0 
D)  12 
A)  $- 40$ 
B)  6 
C)  0 
D)  12

Question 3

Multiply or divide as indicated. Write the answer in lowest terms.
-$\frac { 1 } { 7 } \cdot \frac { 1 } { 2 }$

Accepted Answer

A)  $\frac { 1 } { 14 }$ 
B)  $\frac { 2 } { 9 }$ 
C)  $\frac { 7 } { 2 }$ 
D)  14 
A)  $\frac { 1 } { 14 }$ 
B)  $\frac { 2 } { 9 }$ 
C)  $\frac { 7 } { 2 }$ 
D)  14

Question 4

Simplify the expression.
-$\frac { 1 } { 4 } - \frac { 5 } { 8 }$

Accepted Answer

A)  $- \frac { 1 } { 2 }$ 
B)  $\frac { 7 } { 8 }$ 
C)  $- \frac { 3 } { 4 }$ 
D)  $- \frac { 3 } { 8 }$ 
A)  $- \frac { 1 } { 2 }$ 
B)  $\frac { 7 } { 8 }$ 
C)  $- \frac { 3 } { 4 }$ 
D)  $- \frac { 3 } { 8 }$

Question 5

Perform the indicated operations.
-$( - 6 ) ( 1 ) - ( - 16 ) ( 3 )$

Accepted Answer

A)  42 
B)  $- 54$ 
C)  8 
D)  $- 42$ 
A)  42 
B)  $- 54$ 
C)  8 
D)  $- 42$

Question 6

Evaluate.
-$- 1 ^ { 4 }$

Accepted Answer

A)  0 
B)  $- 4$ 
C)  1 
D)  $- 1$ 
A)  0 
B)  $- 4$ 
C)  1 
D)  $- 1$

Question 7

Evaluate.
-$- 3^3$

Accepted Answer

A)  9 
B)  27 
C)  $- 27$ 
D)  $- 9$ 
A)  9 
B)  27 
C)  $- 27$ 
D)  $- 9$

Question 8

Simplify the expression. (Remember the order of operations.)
-$- 6 - ( - 11 ) + ( - 19 )$

Accepted Answer

A)  2 
B)  $- 14$ 
C)  $- 36$ 
D)  14 
A)  2 
B)  $- 14$ 
C)  $- 36$ 
D)  14

Question 9

Which of these is NOT an end-of-chapter component designed to help you understand the concepts of the chapter?

Accepted Answer

A)  Chapter Highlights 
B)  Chapter Tests 
C)  Vocabulary Checks 
D)  Calculator Exercises 
A)  Chapter Highlights 
B)  Chapter Tests 
C)  Vocabulary Checks 
D)  Calculator Exercises

Question 10

Write the sentence as an equation or inequality. Use x to represent any unknown number.
-The quotient of 14 and a number is $\frac { 2 } { 3 }$.

Accepted Answer

A)  $\frac { 2 } { 3 } x = 14$ 
B)  $14 x = \frac { 2 } { 3 }$ 
C)  $\frac { 14 } { x } = \frac { 2 } { 3 }$ 
D)  $\frac { x } { 14 } = \frac { 2 } { 3 }$ 
A)  $\frac { 2 } { 3 } x = 14$ 
B)  $14 x = \frac { 2 } { 3 }$ 
C)  $\frac { 14 } { x } = \frac { 2 } { 3 }$ 
D)  $\frac { x } { 14 } = \frac { 2 } { 3 }$

Question 11

Find the area of the figure below. (The area of a rectangle is the product of its length and width. The area of a triangle is $$\frac { 1 } { 2 } \text { the product of its base and height.) }$$
-

Accepted Answer

A)  $11 \frac { 7 } { 8 } \mathrm { sq } \mathrm { cm }$ 
B)  $5 \frac { 15 } { 16 } \mathrm { sq } \mathrm { cm }$ 
C)  $4 \frac { 7 } { 8 } \mathrm { sq } \mathrm { cm }$ 
D)  $2 \frac { 31 } { 32 } \mathrm { sq } \mathrm { cm }$ 
A)  $11 \frac { 7 } { 8 } \mathrm { sq } \mathrm { cm }$ 
B)  $5 \frac { 15 } { 16 } \mathrm { sq } \mathrm { cm }$ 
C)  $4 \frac { 7 } { 8 } \mathrm { sq } \mathrm { cm }$ 
D)  $2 \frac { 31 } { 32 } \mathrm { sq } \mathrm { cm }$

Question 12

Which of these is listed as one of several steps in preparing for an exam?

Accepted Answer

A)  Review your class notes, and skip reviewing previous homework assignments. 
B)  Practice working out exercises by working the Chapter Review. 
C)  Skip the concepts and definitions in the Chapter Highlights at the end of the chapter. 
D)  Leave for the exam as late as possible to increase your amount of study time. 
A)  Review your class notes, and skip reviewing previous homework assignments. 
B)  Practice working out exercises by working the Chapter Review. 
C)  Skip the concepts and definitions in the Chapter Highlights at the end of the chapter. 
D)  Leave for the exam as late as possible to increase your amount of study time.

Question 13

Write the phrase as an algebraic expression. Let x represent the unknown number.
-Six more than a number

Accepted Answer

A)  $\frac { x } { 6 }$ 
B)  $x + 6$ 
C)  $x - 6$ 
D)  $6 x$ 
A)  $\frac { x } { 6 }$ 
B)  $x + 6$ 
C)  $x - 6$ 
D)  $6 x$

Question 14

Translate the phrase to an expression and simplify.
-Decrease 5 by 8.

Accepted Answer

A)  13 
B)  -3 
C)  3 
D)  -13 
A)  13 
B)  -3 
C)  3 
D)  -13

Question 15

Simplify the expression.
-$( 10 ) ( - 2 )$

Accepted Answer

A)  $- 200$ 
B)  $- 30$ 
C)  $- 120$ 
D)  $- 20$ 
A)  $- 200$ 
B)  $- 30$ 
C)  $- 120$ 
D)  $- 20$

Question 16

Multiply or divide as indicated. Write the answer in lowest terms.
-$2 \frac { 1 } { 7 } \cdot \frac { 1 } { 5 }$

Accepted Answer

A) $\frac { 3 } { 7 }$ 
B) $1 \frac { 3 } { 7 }$ 
C) $\frac { 1 } { 7 }$ 
D) $2 \frac { 1 } { 35 }$ 
A) $\frac { 3 } { 7 }$ 
B) $1 \frac { 3 } { 7 }$ 
C) $\frac { 1 } { 7 }$ 
D) $2 \frac { 1 } { 35 }$

Question 17

Simplify the expression.
-$- 12 - ( - 6 )$

Accepted Answer

A)  18 
B)  6 
C)  $- 18$ 
D)  $- 6$ 
A)  18 
B)  6 
C)  $- 18$ 
D)  $- 6$

Question 18

Multiply or divide as indicated. Write the answer in lowest terms.
-$5 \frac { 2 } { 9 } \div \frac { 1 } { 9 }$

Accepted Answer

A)  48 
B)  47 
C)  46 
D)  $45 \frac { 1 } { 2 }$ 
A)  48 
B)  47 
C)  46 
D)  $45 \frac { 1 } { 2 }$

Question 19

Name the property illustrated by the statement.
-$2 + 5 = 5 + 2$

Accepted Answer

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

Question 20

Solve. Simplify the answer.
-The total length of a boat race is $\frac { 6 } { 11 }$ of a mile. Chloe has completed $\frac { 5 } { 11 }$ of a mile. How much does she have left to complete?

Accepted Answer

A)  $\frac { 6 } { 11 } \mathrm { mi }$ 
B)  $\frac { 1 } { 11 } \mathrm { mi }$ 
C)  $\frac { 5 } { 11 } \mathrm { mi }$ 
D)  $1 \mathrm { mi }$ 
A)  $\frac { 6 } { 11 } \mathrm { mi }$ 
B)  $\frac { 1 } { 11 } \mathrm { mi }$ 
C)  $\frac { 5 } { 11 } \mathrm { mi }$ 
D)  $1 \mathrm { mi }$

Use an associative property to complete the statement. - $( 8 x + 6 y ) + 9 z =$

Simplify the expression. (Remember the order of operations.) - $- 17 + 20 - ( - 6 ) - 3$

Multiply or divide as indicated. Write the answer in lowest terms. - $\frac { 1 } { 7 } \cdot \frac { 1 } { 2 }$

Simplify the expression. - $\frac { 1 } { 4 } - \frac { 5 } { 8 }$

Perform the indicated operations. - $( - 6 ) ( 1 ) - ( - 16 ) ( 3 )$

Evaluate. - $- 1 ^ { 4 }$

Evaluate. - $- 3^3$

Simplify the expression. (Remember the order of operations.) - $- 6 - ( - 11 ) + ( - 19 )$

Which of these is NOT an end-of-chapter component designed to help you understand the concepts of the chapter?

Write the sentence as an equation or inequality. Use x to represent any unknown number. -The quotient of 14 and a number is $\frac { 2 } { 3 }$ .

Which of these is listed as one of several steps in preparing for an exam?

Write the phrase as an algebraic expression. Let x represent the unknown number. -Six more than a number

Translate the phrase to an expression and simplify. -Decrease 5 by 8.

Simplify the expression. - $( 10 ) ( - 2 )$

Multiply or divide as indicated. Write the answer in lowest terms. - $2 \frac { 1 } { 7 } \cdot \frac { 1 } { 5 }$

Simplify the expression. - $- 12 - ( - 6 )$

Multiply or divide as indicated. Write the answer in lowest terms. - $5 \frac { 2 } { 9 } \div \frac { 1 } { 9 }$

Name the property illustrated by the statement. - $2 + 5 = 5 + 2$

Solve. Simplify the answer. -The total length of a boat race is $\frac { 6 } { 11 }$ of a mile. Chloe has completed $\frac { 5 } { 11 }$ of a mile. How much does she have left to complete?

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

Use an associative property to complete the statement. - (8x+6y)+9z=( 8 x + 6 y ) + 9 z =(8x+6y)+9z=

Simplify the expression. (Remember the order of operations.) - −17+20−(−6)−3- 17 + 20 - ( - 6 ) - 3−17+20−(−6)−3

Multiply or divide as indicated. Write the answer in lowest terms. - 17⋅12\frac { 1 } { 7 } \cdot \frac { 1 } { 2 }71​⋅21​

Simplify the expression. - 14−58\frac { 1 } { 4 } - \frac { 5 } { 8 }41​−85​

Perform the indicated operations. - (−6)(1)−(−16)(3)( - 6 ) ( 1 ) - ( - 16 ) ( 3 )(−6)(1)−(−16)(3)

Evaluate. - −14- 1 ^ { 4 }−14

Evaluate. - −33- 3^3−33

Simplify the expression. (Remember the order of operations.) - −6−(−11)+(−19)- 6 - ( - 11 ) + ( - 19 )−6−(−11)+(−19)

Which of these is NOT an end-of-chapter component designed to help you understand the concepts of the chapter?

Write the sentence as an equation or inequality. Use x to represent any unknown number. -The quotient of 14 and a number is 23\frac { 2 } { 3 }32​ .

Find the area of the figure below. (The area of a rectangle is the product of its length and width. The area of a triangle is 12 the product of its base and height.) \frac { 1 } { 2 } \text { the product of its base and height.) }21​ the product of its base and height.) -

Which of these is listed as one of several steps in preparing for an exam?

Write the phrase as an algebraic expression. Let x represent the unknown number. -Six more than a number

Translate the phrase to an expression and simplify. -Decrease 5 by 8.

Simplify the expression. - (10)(−2)( 10 ) ( - 2 )(10)(−2)

Multiply or divide as indicated. Write the answer in lowest terms. - 217⋅152 \frac { 1 } { 7 } \cdot \frac { 1 } { 5 }271​⋅51​

Simplify the expression. - −12−(−6)- 12 - ( - 6 )−12−(−6)

Multiply or divide as indicated. Write the answer in lowest terms. - 529÷195 \frac { 2 } { 9 } \div \frac { 1 } { 9 }592​÷91​

Name the property illustrated by the statement. - 2+5=5+22 + 5 = 5 + 22+5=5+2

Solve. Simplify the answer. -The total length of a boat race is 611\frac { 6 } { 11 }116​ of a mile. Chloe has completed 511\frac { 5 } { 11 }115​ of a mile. How much does she have left to complete?

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

Use an associative property to complete the statement. - $( 8 x + 6 y ) + 9 z =$

Simplify the expression. (Remember the order of operations.) - $- 17 + 20 - ( - 6 ) - 3$

Multiply or divide as indicated. Write the answer in lowest terms. - $\frac { 1 } { 7 } \cdot \frac { 1 } { 2 }$

Simplify the expression. - $\frac { 1 } { 4 } - \frac { 5 } { 8 }$

Perform the indicated operations. - $( - 6 ) ( 1 ) - ( - 16 ) ( 3 )$

Evaluate. - $- 1 ^ { 4 }$

Evaluate. - $- 3^3$

Simplify the expression. (Remember the order of operations.) - $- 6 - ( - 11 ) + ( - 19 )$

Write the sentence as an equation or inequality. Use x to represent any unknown number. -The quotient of 14 and a number is $\frac { 2 } { 3 }$ .

Simplify the expression. - $( 10 ) ( - 2 )$

Multiply or divide as indicated. Write the answer in lowest terms. - $2 \frac { 1 } { 7 } \cdot \frac { 1 } { 5 }$

Simplify the expression. - $- 12 - ( - 6 )$

Multiply or divide as indicated. Write the answer in lowest terms. - $5 \frac { 2 } { 9 } \div \frac { 1 } { 9 }$

Name the property illustrated by the statement. - $2 + 5 = 5 + 2$

Solve. Simplify the answer. -The total length of a boat race is $\frac { 6 } { 11 }$ of a mile. Chloe has completed $\frac { 5 } { 11 }$ of a mile. How much does she have left to complete?