Question 1

Name the property illustrated by the statement.
-$\frac { 1 } { 2 } \cdot 2 = 1$

Accepted Answer

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

Question 2

Solve. Simplify the answer.
-Daniel is $70 \frac { 1 } { 2 }$ inches tall and his brother Tyler is $67 \frac { 5 } { 8 }$ inches tall. How much taller is Daniel?

Accepted Answer

A)  $3 \frac { 7 } { 8 } \mathrm { in }$. 
B)  $2 \frac { 7 } { 8 } \mathrm { in }$. 
C)  $3 \frac { 1 } { 8 } \mathrm { in }$. 
D)  $2 \frac { 2 } { 3 } \mathrm { in }$. 
A)  $3 \frac { 7 } { 8 } \mathrm { in }$. 
B)  $2 \frac { 7 } { 8 } \mathrm { in }$. 
C)  $3 \frac { 1 } { 8 } \mathrm { in }$. 
D)  $2 \frac { 2 } { 3 } \mathrm { in }$.

Question 3

Decide whether the given number is a solution of the given equation.
-Is $- 6$ a solution to $- 1 = 8 - x$ ?

Accepted Answer

A) True 
 B)False

Question 4

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$6 ( 3 x - 8 )$

Accepted Answer

A)  $18 x - 48$ 
B)  $9 x - 14$ 
C)  $66 x$ 
D)  $18 x - 8$ 
A)  $18 x - 48$ 
B)  $9 x - 14$ 
C)  $66 x$ 
D)  $18 x - 8$

Question 5

Evaluate the expression when x = 5, y = -2, and t = 8.
-$4 x - 5 t + | y |$

Accepted Answer

A)  $- 22$ 
B)  62 
C)  $- 18$ 
D)  9 
A)  $- 22$ 
B)  62 
C)  $- 18$ 
D)  9

Question 6

Multiply or divide as indicated. Write the answer in lowest terms.
-$\frac { 8 } { 11 } \div \frac { 2 } { 19 }$

Accepted Answer

A)  $\frac { 209 } { 16 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 16 } { 209 }$ 
D)  $\frac { 76 } { 11 }$ 
A)  $\frac { 209 } { 16 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 16 } { 209 }$ 
D)  $\frac { 76 } { 11 }$

Question 7

Solve.
-At the start of a chemistry experiment, Sarah measured the temperature of a liquid to be -15°C. At  the end of the experiment, it had risen 45°C. What was the liquid's temperature at the end of the Experiment?

Accepted Answer

A)  $- 60 ^ { \circ } \mathrm { C }$ 
B)  $- 30 ^ { \circ } \mathrm { C }$ 
C)  $30 ^ { \circ } \mathrm { C }$ 
D)  $60 ^ { \circ } \mathrm { C }$ 
A)  $- 60 ^ { \circ } \mathrm { C }$ 
B)  $- 30 ^ { \circ } \mathrm { C }$ 
C)  $30 ^ { \circ } \mathrm { C }$ 
D)  $60 ^ { \circ } \mathrm { C }$

Question 8

Evaluate the expression for the given replacement values.
-$( x + 2 y ) ^ { 2 } \quad x = 4 , y = 3$

Accepted Answer

A)  36 
B)  100 
C)  10 
D)  20 
A)  36 
B)  100 
C)  10 
D)  20

Question 9

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$26 + 6 ( 2 x - 3 )$

Accepted Answer

A)  $12 x + 23$ 
B)  $12 x + 8$ 
C)  $2 x + 8$ 
D)  $12 x - 8$ 
A)  $12 x + 23$ 
B)  $12 x + 8$ 
C)  $2 x + 8$ 
D)  $12 x - 8$

Question 10

Write the sentence as an equation or inequality. Use x to represent any unknown number.
-Four subtracted from thirteen is equal to three squared.

Accepted Answer

A)  $13 - 4 = 3 ^ { 2 }$ 
B)  $13 - 4 = 2 \cdot 3$ 
C)  $4 - 13 = 2 \cdot 3$ 
D)  $4 - 13 = 3 ^ { 2 }$ 
A)  $13 - 4 = 3 ^ { 2 }$ 
B)  $13 - 4 = 2 \cdot 3$ 
C)  $4 - 13 = 2 \cdot 3$ 
D)  $4 - 13 = 3 ^ { 2 }$

Question 11

Identify the property illustrated by the expression.
-$- 5 ( 7 + 9 ) = - 5 \cdot 7 + ( - 5 ) \cdot 9$

Accepted Answer

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

Question 12

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

Accepted Answer

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

Question 13

Solve.
-Trader Tower stands at 1833 feet high. Exchange Emporium is 878 feet tall. How much taller is  Trader Tower than Exchange Emporium?

Accepted Answer

A)  -2711 feet 
B)  955 feet 
C)  2711 feet 
D)  -955 feet 
A)  -2711 feet 
B)  955 feet 
C)  2711 feet 
D)  -955 feet

Question 14

Multiply or divide as indicated. Write the answer in lowest terms.
-$\frac { 4 } { 6 } \div \frac { 1 } { 7 }$

Accepted Answer

A)  $\frac { 2 } { 21 }$ 
B)  $\frac { 5 } { 13 }$ 
C)  $\frac { 14 } { 3 }$ 
D)  $\frac { 11 } { 6 }$ 
A)  $\frac { 2 } { 21 }$ 
B)  $\frac { 5 } { 13 }$ 
C)  $\frac { 14 } { 3 }$ 
D)  $\frac { 11 } { 6 }$

Question 15

Use an integer to represent the value in the statement.
-The team gave up 9 points.

Accepted Answer

A)  $- 9$ 
B)  9 
A)  $- 9$ 
B)  9

Question 16

Add or subtract as indicated. Write the answer in lowest terms.
-$6 \frac { 2 } { 9 } - 2 \frac { 5 } { 6 }$

Accepted Answer

A)  $2 \frac { 1 } { 6 }$ 
B)  $3 \frac { 7 } { 18 }$ 
C)  $2 \frac { 7 } { 18 }$ 
D)  $3 \frac { 5 } { 18 }$ 
A)  $2 \frac { 1 } { 6 }$ 
B)  $3 \frac { 7 } { 18 }$ 
C)  $2 \frac { 7 } { 18 }$ 
D)  $3 \frac { 5 } { 18 }$

Question 17

Divide.
-$\frac { - 32 } { - 8 }$

Accepted Answer

A)  5 
B)  3 
C)  $- 4$ 
D)  4 
A)  5 
B)  3 
C)  $- 4$ 
D)  4

Question 18

Provide an appropriate response.
-As part of a fund raiser, Maria sold 286 candy bars. Drew sold 169 candy bars. Write an inequality statement using  comparing the numbers 286 and 169 .

Accepted Answer

A)  $286  169$ 
A)  $286  169$

Question 19

Find the additive inverse or opposite.
-$| 28 |$

Accepted Answer

A)  $\frac { 1 } { 28 }$ 
B)  0 
C)  $- 28$ 
D)  28 
A)  $\frac { 1 } { 28 }$ 
B)  0 
C)  $- 28$ 
D)  28

Question 20

Write the phrase as an algebraic expression. Let x represent the unknown number.
-Five times a number decreased by 31

Accepted Answer

A)  $31 - 5 x$ 
B)  $31 x - 5$ 
C)  $5 x + 31$ 
D)  $5 x - 31$ 
A)  $31 - 5 x$ 
B)  $31 x - 5$ 
C)  $5 x + 31$ 
D)  $5 x - 31$

Name the property illustrated by the statement. - $\frac { 1 } { 2 } \cdot 2 = 1$

Solve. Simplify the answer. -Daniel is $70 \frac { 1 } { 2 }$ inches tall and his brother Tyler is $67 \frac { 5 } { 8 }$ inches tall. How much taller is Daniel?

Decide whether the given number is a solution of the given equation. -Is $- 6$ a solution to $- 1 = 8 - x$ ?

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $6 ( 3 x - 8 )$

Evaluate the expression when x = 5, y = -2, and t = 8. - $4 x - 5 t + | y |$

Multiply or divide as indicated. Write the answer in lowest terms. - $\frac { 8 } { 11 } \div \frac { 2 } { 19 }$

Solve. -At the start of a chemistry experiment, Sarah measured the temperature of a liquid to be -15°C. At the end of the experiment, it had risen 45°C. What was the liquid's temperature at the end of the Experiment?

Evaluate the expression for the given replacement values. - $( x + 2 y ) ^ { 2 } \quad x = 4 , y = 3$

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $26 + 6 ( 2 x - 3 )$

Write the sentence as an equation or inequality. Use x to represent any unknown number. -Four subtracted from thirteen is equal to three squared.

Identify the property illustrated by the expression. - $- 5 ( 7 + 9 ) = - 5 \cdot 7 + ( - 5 ) \cdot 9$

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

Solve. -Trader Tower stands at 1833 feet high. Exchange Emporium is 878 feet tall. How much taller is Trader Tower than Exchange Emporium?

Multiply or divide as indicated. Write the answer in lowest terms. - $\frac { 4 } { 6 } \div \frac { 1 } { 7 }$

Use an integer to represent the value in the statement. -The team gave up 9 points.

Add or subtract as indicated. Write the answer in lowest terms. - $6 \frac { 2 } { 9 } - 2 \frac { 5 } { 6 }$

Divide. - $\frac { - 32 } { - 8 }$

Provide an appropriate response. -As part of a fund raiser, Maria sold 286 candy bars. Drew sold 169 candy bars. Write an inequality statement using $<$ or $>$ comparing the numbers 286 and 169 .

Find the additive inverse or opposite. - $| 28 |$

Write the phrase as an algebraic expression. Let x represent the unknown number. -Five times a number decreased by 31

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. - 12⋅2=1\frac { 1 } { 2 } \cdot 2 = 121​⋅2=1

Solve. Simplify the answer. -Daniel is 701270 \frac { 1 } { 2 }7021​ inches tall and his brother Tyler is 675867 \frac { 5 } { 8 }6785​ inches tall. How much taller is Daniel?

Decide whether the given number is a solution of the given equation. -Is −6- 6−6 a solution to −1=8−x- 1 = 8 - x−1=8−x ?

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - 6(3x−8)6 ( 3 x - 8 )6(3x−8)

Evaluate the expression when x = 5, y = -2, and t = 8. - 4x−5t+∣y∣4 x - 5 t + | y |4x−5t+∣y∣

Multiply or divide as indicated. Write the answer in lowest terms. - 811÷219\frac { 8 } { 11 } \div \frac { 2 } { 19 }118​÷192​