Question 1

Multiply or divide as indicated. Write the answer in lowest terms.
-$\frac { 20 } { 9 } \cdot \frac { 1 } { 8 }$

Accepted Answer

A)  $\frac { 3 } { 18 }$ 
B)  $\frac { 41 } { 18 }$ 
C)  $\frac { 146 } { 72 }$ 
D)  $\frac { 5 } { 18 }$ 
A)  $\frac { 3 } { 18 }$ 
B)  $\frac { 41 } { 18 }$ 
C)  $\frac { 146 } { 72 }$ 
D)  $\frac { 5 } { 18 }$

Question 2

Use a commutative property to complete the statement.
-$5 x + 14 =$

Accepted Answer

A)  $- 5 x + 14$ 
B)  $5 x - 14$ 
C)  $14 + 5 x$ 
D)  $14 x + 5$ 
A)  $- 5 x + 14$ 
B)  $5 x - 14$ 
C)  $14 + 5 x$ 
D)  $14 x + 5$

Question 3

Simplify.
-$\frac { \left| 5 - 4 ^ { 3 } \right| - 3 } { 8 + 8 }$

Accepted Answer

A)  $- \frac { 31 } { 8 }$ 
B)  $\frac { 31 } { 8 }$ 
C)  $- \frac { 1 } { 8 }$ 
D)  $\frac { 7 } { 2 }$ 
A)  $- \frac { 31 } { 8 }$ 
B)  $\frac { 31 } { 8 }$ 
C)  $- \frac { 1 } { 8 }$ 
D)  $\frac { 7 } { 2 }$

Question 4

Write the fraction as an equivalent fraction with the given denominator.
-$\frac { 6 } { 5 }$ with a denominator of 15

Accepted Answer

A)  $\frac { 3 } { 15 }$ 
B)  $\frac { 30 } { 15 }$ 
C)  $\frac { 6 } { 15 }$ 
D)  $\frac { 18 } { 15 }$ 
A)  $\frac { 3 } { 15 }$ 
B)  $\frac { 30 } { 15 }$ 
C)  $\frac { 6 } { 15 }$ 
D)  $\frac { 18 } { 15 }$

Question 5

Translate the phrase to an expression and simplify.
-Decrease -1 by -2.

Accepted Answer

A)  -1 
B)  -3 
C)  3 
D)  1 
A)  -1 
B)  -3 
C)  3 
D)  1

Question 6

Divide.
-$- \frac { 2 } { 3 } \div \left( - \frac { 1 } { 4 } \right)$

Accepted Answer

A)  $- \frac { 1 } { 6 }$ 
B)  $\frac { 3 } { 8 }$ 
C)  $\frac { 8 } { 3 }$ 
D)  $- \frac { 8 } { 3 }$ 
A)  $- \frac { 1 } { 6 }$ 
B)  $\frac { 3 } { 8 }$ 
C)  $\frac { 8 } { 3 }$ 
D)  $- \frac { 8 } { 3 }$

Question 7

Simplify the expression.
-$\frac { 1 } { 4 } + \frac { 1 } { 7 } \cdot \frac { 1 } { 5 }$

Accepted Answer

A)  $\frac { 39 } { 140 }$ 
B)  $\frac { 33 } { 28 }$ 
C)  $\frac { 11 } { 140 }$ 
D)  $\frac { 1 } { 70 }$ 
A)  $\frac { 39 } { 140 }$ 
B)  $\frac { 33 } { 28 }$ 
C)  $\frac { 11 } { 140 }$ 
D)  $\frac { 1 } { 70 }$

Question 8

List the numbers in set B that belong to the indicated set.
-$B = \left\{ 12 , \sqrt { 8 } , - 22,0 , \frac { 0 } { 9 } , \sqrt { 4 } , \frac { - 5 } { 0 } , 2 \pi , 0.72 \right\}$
Irrational numbers

Accepted Answer

A)  $\sqrt { 8 } , \frac { - 5 } { 0 } , 2 \pi$ 
B)  $\sqrt { 8 } , \sqrt { 4 } , 0.72,2 \pi$ 
C)  $\sqrt { 8 } , 2 \pi$ 
D)  $\sqrt { 8 } , \sqrt { 4 }$ 
A)  $\sqrt { 8 } , \frac { - 5 } { 0 } , 2 \pi$ 
B)  $\sqrt { 8 } , \sqrt { 4 } , 0.72,2 \pi$ 
C)  $\sqrt { 8 } , 2 \pi$ 
D)  $\sqrt { 8 } , \sqrt { 4 }$

Question 9

Write the sentence as a mathematical statement.
-Negative thirty-eight is equal to negative thirty-eight.

Accepted Answer

A)  $- 38 \geq - 38$ 
B)  $- 38 = - 38$ 
C)  $- 38 \leq - 38$ 
D)  $- 38 \neq - 38$ 
A)  $- 38 \geq - 38$ 
B)  $- 38 = - 38$ 
C)  $- 38 \leq - 38$ 
D)  $- 38 \neq - 38$

Question 10

Add or subtract as indicated. Write the answer in lowest terms.
-$\frac { 6 } { 9 } - \frac { 4 } { 8 }$

Accepted Answer

A)  $\frac { 2 } { 9 }$ 
B)  $\frac { 4 } { 3 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  $\frac { 1 } { 36 }$ 
A)  $\frac { 2 } { 9 }$ 
B)  $\frac { 4 } { 3 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  $\frac { 1 } { 36 }$

Question 11

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$7 ( 5 x + 3 ) - 2$

Accepted Answer

A)  $35 x + 1$ 
B)  $35 x + 19$ 
C)  $35 x + 7$ 
D)  $12 x + 8$ 
A)  $35 x + 1$ 
B)  $35 x + 19$ 
C)  $35 x + 7$ 
D)  $12 x + 8$

Question 12

Use an integer to represent the value in the statement.
-28-pound loss

Accepted Answer

A)  $- 28$ 
B)  28 
A)  $- 28$ 
B)  28

Question 13

Solve.
-Chris lost $9.02 playing poker in one week. If this continued, what would be his net winnings or  losses after five weeks?

Accepted Answer

A)  -$451.00 
B)  $45.10 
C)  -$4510.00 
D)  -$45.10 
A)  -$451.00 
B)  $45.10 
C)  -$4510.00 
D)  -$45.10

Question 14

Write the number as a product of primes.
-30

Accepted Answer

A)  $2 \cdot 2 \cdot 5$ 
B)  $6 \cdot 5$ 
C)  $2 \cdot 3 \cdot 5$ 
D)  $3 \cdot 3 \cdot 2$ 
A)  $2 \cdot 2 \cdot 5$ 
B)  $6 \cdot 5$ 
C)  $2 \cdot 3 \cdot 5$ 
D)  $3 \cdot 3 \cdot 2$

Question 15

Subtract.
-$0.31 - ( - 0.14 )$

Accepted Answer

A)  $0.55$ 
B)  $0.17$ 
C)  $0.0434$ 
D)  $0.45$ 
A)  $0.55$ 
B)  $0.17$ 
C)  $0.0434$ 
D)  $0.45$

Question 16

Write the number as a product of primes.
-8

Accepted Answer

A)  $2 \cdot 2 \cdot 2$ 
B)  $2 \cdot 2$ 
C)  $2 \cdot 2 \cdot 3$ 
D)  $2 \cdot 4$ 
A)  $2 \cdot 2 \cdot 2$ 
B)  $2 \cdot 2$ 
C)  $2 \cdot 2 \cdot 3$ 
D)  $2 \cdot 4$

Question 17

Name the property illustrated by the statement.
-$9 \cdot 2 = 2 \cdot 9$

Accepted Answer

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

Question 18

Solve the problem.
-Noah Field decided to sell 350 shares of stock, which decreased in value by $3.50 per share  yesterday. How much money did he lose?

Accepted Answer

A)  $346.50 
B)  $1225 
C)  $6125 
D)  $2450 
A)  $346.50 
B)  $1225 
C)  $6125 
D)  $2450

Question 19

Write the sentence as a mathematical statement.
-Fourteen is greater than seven.

Accepted Answer

A) $14 = 7$ B) $14 > 7$ C) $14 < 7$ D) $14 \geq 7$ A) $14 = 7$ B) $14 > 7$ C) $14 < 7$ D) $14 \geq 7$

Question 20

Solve the problem.
-Building A is 51 feet tall. Building B is 96 feet tall. Write an inequality statement using  comparing the numbers 51 and 96.

Accepted Answer

A) $51 > 96$ B) $51 < 96$ A) $51 > 96$ B) $51 < 96$

Multiply or divide as indicated. Write the answer in lowest terms. - $\frac { 20 } { 9 } \cdot \frac { 1 } { 8 }$

Use a commutative property to complete the statement. - $5 x + 14 =$

Simplify. - $\frac { \left| 5 - 4 ^ { 3 } \right| - 3 } { 8 + 8 }$

Write the fraction as an equivalent fraction with the given denominator. - $\frac { 6 } { 5 }$ with a denominator of 15

Translate the phrase to an expression and simplify. -Decrease -1 by -2.

Divide. - $- \frac { 2 } { 3 } \div \left( - \frac { 1 } { 4 } \right)$

Simplify the expression. - $\frac { 1 } { 4 } + \frac { 1 } { 7 } \cdot \frac { 1 } { 5 }$

List the numbers in set B that belong to the indicated set. - $B = \left\{ 12 , \sqrt { 8 } , - 22,0 , \frac { 0 } { 9 } , \sqrt { 4 } , \frac { - 5 } { 0 } , 2 \pi , 0.72 \right\}$ Irrational numbers

Write the sentence as a mathematical statement. -Negative thirty-eight is equal to negative thirty-eight.

Add or subtract as indicated. Write the answer in lowest terms. - $\frac { 6 } { 9 } - \frac { 4 } { 8 }$

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $7 ( 5 x + 3 ) - 2$

Use an integer to represent the value in the statement. -28-pound loss

Solve. -Chris lost $9.02 playing poker in one week. If this continued, what would be his net winnings or losses after five weeks?

Write the number as a product of primes. -30

Subtract. - $0.31 - ( - 0.14 )$

Write the number as a product of primes. -8

Name the property illustrated by the statement. - $9 \cdot 2 = 2 \cdot 9$

Solve the problem. -Noah Field decided to sell 350 shares of stock, which decreased in value by $3.50 per share yesterday. How much money did he lose?

Write the sentence as a mathematical statement. -Fourteen is greater than seven.

Solve the problem. -Building A is 51 feet tall. Building B is 96 feet tall. Write an inequality statement using < or > comparing the numbers 51 and 96.

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

Multiply or divide as indicated. Write the answer in lowest terms. - 209⋅18\frac { 20 } { 9 } \cdot \frac { 1 } { 8 }920​⋅81​

Use a commutative property to complete the statement. - 5x+14=5 x + 14 =5x+14=

Simplify. - ∣5−43∣−38+8\frac { \left| 5 - 4 ^ { 3 } \right| - 3 } { 8 + 8 }8+8∣5−43∣−3​

Write the fraction as an equivalent fraction with the given denominator. - 65\frac { 6 } { 5 }56​ with a denominator of 15