Question 1

Name the property illustrated by the statement.
-$9 ( x + 3 ) = 9 x + 9 \cdot 3$

Accepted Answer

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

Question 2

Divide.
-$\frac { - 56 } { - 4 }$

Accepted Answer

A)  $\frac { 1 } { 14 }$ 
B)  $- 14$ 
C)  4 
D)  14 
A)  $\frac { 1 } { 14 }$ 
B)  $- 14$ 
C)  4 
D)  14

Question 3

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$10 ( 3 n + 2 )$

Accepted Answer

A)  $30 n + 2$ 
B)  $30 n + 20$ 
C)  $50 n$ 
D)  $13 n + 12$ 
A)  $30 n + 2$ 
B)  $30 n + 20$ 
C)  $50 n$ 
D)  $13 n + 12$

Question 4

Write the sentence as an equation or inequality. Use x to represent any unknown number.
-The difference of twelve and three is greater than seven.

Accepted Answer

A)  $3 - 12 > 7$ 
B)  $12 - 3  7$ 
A)  $3 - 12 > 7$ 
B)  $12 - 3  7$

Question 5

Write the number as a product of primes.
-243

Accepted Answer

A)  $3 \cdot 3 \cdot 3 \cdot 5$ 
B)  $3 \cdot 3 \cdot 7$ 
C)  $3 \cdot 3 \cdot 3 \cdot 3$ 
D)  $3 \cdot 3 \cdot 3 \cdot 3 \cdot 3$ 
A)  $3 \cdot 3 \cdot 3 \cdot 5$ 
B)  $3 \cdot 3 \cdot 7$ 
C)  $3 \cdot 3 \cdot 3 \cdot 3$ 
D)  $3 \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Question 6

Solve the problem.
-An NFL football team was 39 yards from the goal when the following series of gains and losses occurred.

During which down did the greatest loss of yardage occur?

Accepted Answer

A)  third down 
B)  first down 
C)  fourth down 
D)  second down 
A)  third down 
B)  first down 
C)  fourth down 
D)  second down

Question 7

Use an associative property to complete the statement.
-$( - 8 \mathrm {~m} ) \cdot \mathrm { n } =$

Accepted Answer

A)  $n \cdot ( - 8 \mathrm {~m} )$ 
B)  $8 \cdot ( - \mathrm { mn } )$ 
C)  $( \mathrm { mn } ) \cdot ( - 8 )$ 
D)  $- 8 \cdot ( \mathrm { mn } )$ 
A)  $n \cdot ( - 8 \mathrm {~m} )$ 
B)  $8 \cdot ( - \mathrm { mn } )$ 
C)  $( \mathrm { mn } ) \cdot ( - 8 )$ 
D)  $- 8 \cdot ( \mathrm { mn } )$

Question 8

Decide whether the given number is a solution of the given equation.
-Is 8 a solution of x + 4 = 12?

Accepted Answer

A) True 
 B)False

Question 9

Insert  , or = to make the statement true.
-

Accepted Answer

A)  \) 
A)  \)

Question 10

Translate the phrase to an expression and simplify.
-Subtract -1 from 3.

Accepted Answer

A)  -2 
B)  4 
C)  -4 
D)  2 
A)  -2 
B)  4 
C)  -4 
D)  2

Question 11

Simplify the expression.
-$( 3 + 8 ) [ 6 + ( 6 + 6 ) ]$

Accepted Answer

A)  432 
B)  1008 
C)  83 
D)  198 
A)  432 
B)  1008 
C)  83 
D)  198

Question 12

Write the number as a product of primes.
-84

Accepted Answer

A)  $2 \cdot 2 \cdot 3 \cdot 7$ 
B)  $2 \cdot 2 \cdot 2 \cdot 3 \cdot 7$ 
C)  $2 \cdot 2 \cdot 3 \cdot 5$ 
D)  $2 \cdot 3 \cdot 7$ 
A)  $2 \cdot 2 \cdot 3 \cdot 7$ 
B)  $2 \cdot 2 \cdot 2 \cdot 3 \cdot 7$ 
C)  $2 \cdot 2 \cdot 3 \cdot 5$ 
D)  $2 \cdot 3 \cdot 7$

Question 13

$- 1 \leq 1$

Accepted Answer

A) True 
 B)False

Question 14

Solve the problem.
-At Relax Resort, the Beginner's Trail is 8 kilometers long. The Advanced Trail is 15 kilometers long. Write an inequality statement using $\leq$ or $\geq$ comparing the numbers 8 and 15 .

Accepted Answer

A)  $8 \leq 15$ 
B)  $8 \geq 15$ 
A)  $8 \leq 15$ 
B)  $8 \geq 15$

Question 15

Solve. Simplify the answer.
-June wants to work for $11 \frac { 1 } { 4 }$ hours at her part-time job this week. She has already worked $5 \frac { 1 } { 2 }$ hours. How many more hours does she need to work?

Accepted Answer

A)  $4 \frac { 3 } { 4 } \mathrm { hr }$ 
B)  $6 \frac { 3 } { 4 } \mathrm { hr }$ 
C)  $5 \mathrm { hr }$ 
D)  $5 \frac { 3 } { 4 } \mathrm { hr }$ 
A)  $4 \frac { 3 } { 4 } \mathrm { hr }$ 
B)  $6 \frac { 3 } { 4 } \mathrm { hr }$ 
C)  $5 \mathrm { hr }$ 
D)  $5 \frac { 3 } { 4 } \mathrm { hr }$

Question 16

Multiply or divide as indicated. Write the answer in lowest terms.
-$\frac { 5 } { 6 } \div \frac { 7 } { 3 }$

Accepted Answer

A)  $2 \frac { 4 } { 5 }$ 
B)  $1 \frac { 17 } { 18 }$ 
C)  $\frac { 18 } { 35 }$ 
D)  $\frac { 5 } { 14 }$ 
A)  $2 \frac { 4 } { 5 }$ 
B)  $1 \frac { 17 } { 18 }$ 
C)  $\frac { 18 } { 35 }$ 
D)  $\frac { 5 } { 14 }$

Question 17

Multiply.
-$- 6 ( - 9 )$

Accepted Answer

A)  54 
B)  108 
C)  64 
D)  $- 54$ 
A)  54 
B)  108 
C)  64 
D)  $- 54$

Question 18

Write the sentence as an equation or inequality. Use x to represent any unknown number.
-Four subtracted from a number is 0.

Accepted Answer

A)  $4 x = 0$ 
B)  $x + 4 = 0$ 
C)  $4 - x = 0$ 
D)  $x - 4 = 0$ 
A)  $4 x = 0$ 
B)  $x + 4 = 0$ 
C)  $4 - x = 0$ 
D)  $x - 4 = 0$

Question 19

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l l } 
\text { set } & \text { inequality symbols } & \text { opposites } & \text { absolute value } & \text { numerator } \
\text { denominator } & \text { grouping symbols } & \text { exponent } & \text { base } & \text { reciprocals } \
\text { variable } & \text { equation } & \text { solution } & &
\end{array}$$
-The number in a fraction above the fraction bar is called the .

Accepted Answer

A)  base 
B)  numerator 
C)  denominator 
D)  exponent 
A)  base 
B)  numerator 
C)  denominator 
D)  exponent

Question 20

Write the fraction in lowest terms.
-$\frac { 30 } { 80 }$

Accepted Answer

A)  $\frac { 3 } { 8 }$ 
B)  $\frac { 10 } { 8 }$ 
C)  $\frac { 3 } { 10 }$ 
D)  $\frac { 30 } { 80 }$ 
A)  $\frac { 3 } { 8 }$ 
B)  $\frac { 10 } { 8 }$ 
C)  $\frac { 3 } { 10 }$ 
D)  $\frac { 30 } { 80 }$

Name the property illustrated by the statement. - $9 ( x + 3 ) = 9 x + 9 \cdot 3$

Divide. - $\frac { - 56 } { - 4 }$

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $10 ( 3 n + 2 )$

Write the sentence as an equation or inequality. Use x to represent any unknown number. -The difference of twelve and three is greater than seven.

Write the number as a product of primes. -243

Solve the problem. -An NFL football team was 39 yards from the goal when the following series of gains and losses occurred. During which down did the greatest loss of yardage occur?

Use an associative property to complete the statement. - $( - 8 \mathrm {~m} ) \cdot \mathrm { n } =$

Decide whether the given number is a solution of the given equation. -Is 8 a solution of x + 4 = 12?

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

Translate the phrase to an expression and simplify. -Subtract -1 from 3.

Simplify the expression. - $( 3 + 8 ) [ 6 + ( 6 + 6 ) ]$

Write the number as a product of primes. -84

$- 1 \leq 1$

Solve the problem. -At Relax Resort, the Beginner's Trail is 8 kilometers long. The Advanced Trail is 15 kilometers long. Write an inequality statement using $\leq$ or $\geq$ comparing the numbers 8 and 15 .

Solve. Simplify the answer. -June wants to work for $11 \frac { 1 } { 4 }$ hours at her part-time job this week. She has already worked $5 \frac { 1 } { 2 }$ hours. How many more hours does she need to work?

Multiply or divide as indicated. Write the answer in lowest terms. - $\frac { 5 } { 6 } \div \frac { 7 } { 3 }$

Multiply. - $- 6 ( - 9 )$

Write the sentence as an equation or inequality. Use x to represent any unknown number. -Four subtracted from a number is 0.

Fill in the blank with one of the words or phrases listed below. set inequality symbols opposites absolute value numerator denominator grouping symbols exponent base reciprocals variable equation solution -The number in a fraction above the fraction bar is called the .

Write the fraction in lowest terms. - $\frac { 30 } { 80 }$

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

Name the property illustrated by the statement. - 9(x+3)=9x+9⋅39 ( x + 3 ) = 9 x + 9 \cdot 39(x+3)=9x+9⋅3

Divide. - −56−4\frac { - 56 } { - 4 }−4−56​

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - 10(3n+2)10 ( 3 n + 2 )10(3n+2)

Write the sentence as an equation or inequality. Use x to represent any unknown number. -The difference of twelve and three is greater than seven.

Write the number as a product of primes. -243

Solve the problem. -An NFL football team was 39 yards from the goal when the following series of gains and losses occurred. During which down did the greatest loss of yardage occur?

Use an associative property to complete the statement. - (−8 m)⋅n=( - 8 \mathrm {~m} ) \cdot \mathrm { n } =(−8 m)⋅n=

Decide whether the given number is a solution of the given equation. -Is 8 a solution of x + 4 = 12?

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

Translate the phrase to an expression and simplify. -Subtract -1 from 3.

Simplify the expression. - (3+8)[6+(6+6)]( 3 + 8 ) [ 6 + ( 6 + 6 ) ](3+8)[6+(6+6)]

Write the number as a product of primes. -84

−1≤1- 1 \leq 1−1≤1

Solve the problem. -At Relax Resort, the Beginner's Trail is 8 kilometers long. The Advanced Trail is 15 kilometers long. Write an inequality statement using ≤\leq≤ or ≥\geq≥ comparing the numbers 8 and 15 .

Solve. Simplify the answer. -June wants to work for 111411 \frac { 1 } { 4 }1141​ hours at her part-time job this week. She has already worked 5125 \frac { 1 } { 2 }521​ hours. How many more hours does she need to work?

Multiply or divide as indicated. Write the answer in lowest terms. - 56÷73\frac { 5 } { 6 } \div \frac { 7 } { 3 }65​÷37​

Multiply. - −6(−9)- 6 ( - 9 )−6(−9)

Write the sentence as an equation or inequality. Use x to represent any unknown number. -Four subtracted from a number is 0.

Fill in the blank with one of the words or phrases listed below. set inequality symbols opposites absolute value numerator denominator grouping symbols exponent base reciprocals variable equation solution -The number in a fraction above the fraction bar is called the .

Write the fraction in lowest terms. - 3080\frac { 30 } { 80 }8030​

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

Name the property illustrated by the statement. - $9 ( x + 3 ) = 9 x + 9 \cdot 3$

Divide. - $\frac { - 56 } { - 4 }$

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $10 ( 3 n + 2 )$

Use an associative property to complete the statement. - $( - 8 \mathrm {~m} ) \cdot \mathrm { n } =$

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

Simplify the expression. - $( 3 + 8 ) [ 6 + ( 6 + 6 ) ]$

$- 1 \leq 1$

Solve the problem. -At Relax Resort, the Beginner's Trail is 8 kilometers long. The Advanced Trail is 15 kilometers long. Write an inequality statement using $\leq$ or $\geq$ comparing the numbers 8 and 15 .

Solve. Simplify the answer. -June wants to work for $11 \frac { 1 } { 4 }$ hours at her part-time job this week. She has already worked $5 \frac { 1 } { 2 }$ hours. How many more hours does she need to work?

Multiply or divide as indicated. Write the answer in lowest terms. - $\frac { 5 } { 6 } \div \frac { 7 } { 3 }$

Multiply. - $- 6 ( - 9 )$

Write the fraction in lowest terms. - $\frac { 30 } { 80 }$