Question 1

Multiply or divide as indicated. Write the answer in lowest terms.
-$3 \frac { 1 } { 3 } \cdot 4 \frac { 1 } { 6 }$

Accepted Answer

A)  $13 \frac { 13 } { 18 }$ 
B)  $12 \frac { 1 } { 18 }$ 
C)  $13 \frac { 8 } { 9 }$ 
D)  $1 \frac { 1 } { 9 }$ 
A)  $13 \frac { 13 } { 18 }$ 
B)  $12 \frac { 1 } { 18 }$ 
C)  $13 \frac { 8 } { 9 }$ 
D)  $1 \frac { 1 } { 9 }$

Question 2

Find the additive inverse or opposite.
-$- 15$

Accepted Answer

A)  $- \frac { 1 } { 15 }$ 
B)  0 
C)  15 
D)  $- 15$ 
A)  $- \frac { 1 } { 15 }$ 
B)  0 
C)  15 
D)  $- 15$

Question 3

Simplify the expression. (Remember the order of operations.)
-$2 - 0 - ( - 6 ) - 7 + ( - 9 )$

Accepted Answer

A)  12 
B)  $- 6$ 
C)  6 
D)  $- 8$ 
A)  12 
B)  $- 6$ 
C)  6 
D)  $- 8$

Question 4

Multiply or divide as indicated. Write the answer in lowest terms.
-$3 \cdot 2 \frac { 7 } { 15 }$

Accepted Answer

A)  $6 \frac { 7 } { 15 }$ 
B)  $6 \frac { 2 } { 5 }$ 
C)  $7 \frac { 2 } { 5 }$ 
D)  6 
A)  $6 \frac { 7 } { 15 }$ 
B)  $6 \frac { 2 } { 5 }$ 
C)  $7 \frac { 2 } { 5 }$ 
D)  6

Question 5

Add or subtract as indicated. Write the answer in lowest terms.
-$20 \frac { 3 } { 4 } - \frac { 14 } { 16 }$

Accepted Answer

A)  19 
B)  $19 \frac { 7 } { 8 }$ 
C)  $20 \frac { 7 } { 8 }$ 
D)  $18 \frac { 7 } { 8 }$ 
A)  19 
B)  $19 \frac { 7 } { 8 }$ 
C)  $20 \frac { 7 } { 8 }$ 
D)  $18 \frac { 7 } { 8 }$

Question 6

Perform the indicated operations.
-$( - 8 ) ( - 1 ) ( - 6 ) - ( - 7 )$

Accepted Answer

A)  $- 41$ 
B)  41 
C)  $- 55$ 
D)  55 
A)  $- 41$ 
B)  41 
C)  $- 55$ 
D)  55

Question 7

Simplify the expression. (Remember the order of operations.)
-$17 - ( - 7 ) + ( - 16 )$

Accepted Answer

A)  $- 6$ 
B)  26 
C)  8 
D)  $- 26$ 
A)  $- 6$ 
B)  26 
C)  8 
D)  $- 26$

Question 8

Evaluate the expression for the given replacement values.
-$\frac { 5 x - 6 y } { x + 4 } \quad x = 10 , y = 4$

Accepted Answer

A)  $\frac { 13 } { 7 }$ 
B)  5 
C)  $\frac { 20 } { 7 }$ 
D)  $\frac { 13 } { 4 }$ 
A)  $\frac { 13 } { 7 }$ 
B)  5 
C)  $\frac { 20 } { 7 }$ 
D)  $\frac { 13 } { 4 }$

Question 9

Find the opposite (additive inverse), and the reciprocal (multiplicative inverse). Assume that the value of an expression is
not 0.
-Expression: -$\frac { 3 } { 4 }$ Opposite: __ Reciprocal:-----

Accepted Answer

A)  Opposite: $\frac { 3 } { 4 }$
Reciprocal: $\frac { 4 } { 3 }$ 
B)  Opposite: $- \frac { 4 } { 3 }$
Reciprocal: $\frac { 3 } { 4 }$ 
C)  Opposite: $\frac { 4 } { 3 }$
Reciprocal: $\frac { 3 } { 4 }$ 
D)  Opposite: $\frac { 3 } { 4 }$
Reciprocal: $- \frac { 4 } { 3 }$ 
A)  Opposite: $\frac { 3 } { 4 }$
Reciprocal: $\frac { 4 } { 3 }$ 
B)  Opposite: $- \frac { 4 } { 3 }$
Reciprocal: $\frac { 3 } { 4 }$ 
C)  Opposite: $\frac { 4 } { 3 }$
Reciprocal: $\frac { 3 } { 4 }$ 
D)  Opposite: $\frac { 3 } { 4 }$
Reciprocal: $- \frac { 4 } { 3 }$

Question 10

Write the fraction as an equivalent fraction with the given denominator.
-$\frac { 4 } { 11 }$ with a denominator of 22

Accepted Answer

A)  $\frac { 44 } { 22 }$ 
B)  $\frac { 2 } { 22 }$ 
C)  $\frac { 8 } { 22 }$ 
D)  $\frac { 4 } { 22 }$ 
A)  $\frac { 44 } { 22 }$ 
B)  $\frac { 2 } { 22 }$ 
C)  $\frac { 8 } { 22 }$ 
D)  $\frac { 4 } { 22 }$

Question 11

Identify the property illustrated by the expression.
-$\frac { 1 } { 4 } ( 4 ) = 1$

Accepted Answer

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

Question 12

Simplify.
-$\frac { 3 + 6 } { - 5 - 1 }$

Accepted Answer

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

Question 13

Write the fraction as an equivalent fraction with the given denominator.
-$\frac { 3 } { 7 }$ with a denominator of 35

Accepted Answer

A)  $\frac { 5 } { 35 }$ 
B)  $\frac { 3 } { 35 }$ 
C)  $\frac { 21 } { 35 }$ 
D)  $\frac { 15 } { 35 }$ 
A)  $\frac { 5 } { 35 }$ 
B)  $\frac { 3 } { 35 }$ 
C)  $\frac { 21 } { 35 }$ 
D)  $\frac { 15 } { 35 }$

Question 14

$17 \geq 6$

Accepted Answer

A) True 
 B)False

Question 15

Evaluate the expression for the given replacement values.
-$8 + 4 x - y \quad x = 9 , y = - 9$

Accepted Answer

A)  117 
B)  21 
C)  80 
D)  53 
A)  117 
B)  21 
C)  80 
D)  53

Question 16

List the numbers in set B that belong to the indicated set.
-$B = \left\{ 14 , \sqrt { 6 } , - 14,0 , \frac { 0 } { 5 } , \sqrt { 9 } , 2 \pi , \frac { - 5 } { 0 } \right\}$
Real numbers

Accepted Answer

A)  $14 , - 14,0 , \frac { 0 } { 5 } , \frac { - 5 } { 0 }$ 
B)  $14 , - 14,0 , \sqrt { 9 }$ 
C)  $14 , - 14,0 , \frac { 0 } { 5 } , \sqrt { 9 } , 2 \pi$ 
D)  $14 , \sqrt { 6 } , - 14,0 , \frac { 0 } { 5 } , \sqrt { 9 } , 2 \pi$ 
A)  $14 , - 14,0 , \frac { 0 } { 5 } , \frac { - 5 } { 0 }$ 
B)  $14 , - 14,0 , \sqrt { 9 }$ 
C)  $14 , - 14,0 , \frac { 0 } { 5 } , \sqrt { 9 } , 2 \pi$ 
D)  $14 , \sqrt { 6 } , - 14,0 , \frac { 0 } { 5 } , \sqrt { 9 } , 2 \pi$

Question 17

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$- 2 ( x + 4 )$

Accepted Answer

A)  $x - 8$ 
B)  $- 2 x - 8$ 
C)  $- 2 x + 4$ 
D)  $- 2 x + 8$ 
A)  $x - 8$ 
B)  $- 2 x - 8$ 
C)  $- 2 x + 4$ 
D)  $- 2 x + 8$

Question 18

Insert , or = to make the statement true.
-

Accepted Answer

A)   
A)

Question 19

Write the phrase as an algebraic expression. Let x represent the unknown number.
-The quotient of 14 and a number

Accepted Answer

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

Question 20

Find the reciprocal or multiplicative inverse.
-$- 7$

Accepted Answer

A)  $- \frac { 1 } { 7 }$ 
B)  0 
C)  $\frac { 1 } { 7 }$ 
D)  7 
A)  $- \frac { 1 } { 7 }$ 
B)  0 
C)  $\frac { 1 } { 7 }$ 
D)  7

Multiply or divide as indicated. Write the answer in lowest terms. - $3 \frac { 1 } { 3 } \cdot 4 \frac { 1 } { 6 }$

Find the additive inverse or opposite. - $- 15$

Simplify the expression. (Remember the order of operations.) - $2 - 0 - ( - 6 ) - 7 + ( - 9 )$

Multiply or divide as indicated. Write the answer in lowest terms. - $3 \cdot 2 \frac { 7 } { 15 }$

Add or subtract as indicated. Write the answer in lowest terms. - $20 \frac { 3 } { 4 } - \frac { 14 } { 16 }$

Perform the indicated operations. - $( - 8 ) ( - 1 ) ( - 6 ) - ( - 7 )$

Simplify the expression. (Remember the order of operations.) - $17 - ( - 7 ) + ( - 16 )$

Evaluate the expression for the given replacement values. - $\frac { 5 x - 6 y } { x + 4 } \quad x = 10 , y = 4$

Find the opposite (additive inverse), and the reciprocal (multiplicative inverse). Assume that the value of an expression is not 0. -Expression: - $\frac { 3 } { 4 }$ Opposite: __ Reciprocal:-----

Write the fraction as an equivalent fraction with the given denominator. - $\frac { 4 } { 11 }$ with a denominator of 22

Identify the property illustrated by the expression. - $\frac { 1 } { 4 } ( 4 ) = 1$

Simplify. - $\frac { 3 + 6 } { - 5 - 1 }$

Write the fraction as an equivalent fraction with the given denominator. - $\frac { 3 } { 7 }$ with a denominator of 35

$17 \geq 6$

Evaluate the expression for the given replacement values. - $8 + 4 x - y \quad x = 9 , y = - 9$

List the numbers in set B that belong to the indicated set. - $B = \left\{ 14 , \sqrt { 6 } , - 14,0 , \frac { 0 } { 5 } , \sqrt { 9 } , 2 \pi , \frac { - 5 } { 0 } \right\}$ Real numbers

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $- 2 ( x + 4 )$

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

Write the phrase as an algebraic expression. Let x represent the unknown number. -The quotient of 14 and a number

Find the reciprocal or multiplicative inverse. - $- 7$

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. - 313⋅4163 \frac { 1 } { 3 } \cdot 4 \frac { 1 } { 6 }331​⋅461​

Find the additive inverse or opposite. - −15- 15−15

Simplify the expression. (Remember the order of operations.) - 2−0−(−6)−7+(−9)2 - 0 - ( - 6 ) - 7 + ( - 9 )2−0−(−6)−7+(−9)

Multiply or divide as indicated. Write the answer in lowest terms. - 3⋅27153 \cdot 2 \frac { 7 } { 15 }3⋅2157​

Add or subtract as indicated. Write the answer in lowest terms. - 2034−141620 \frac { 3 } { 4 } - \frac { 14 } { 16 }2043​−1614​

Perform the indicated operations. - (−8)(−1)(−6)−(−7)( - 8 ) ( - 1 ) ( - 6 ) - ( - 7 )(−8)(−1)(−6)−(−7)

Simplify the expression. (Remember the order of operations.) - 17−(−7)+(−16)17 - ( - 7 ) + ( - 16 )17−(−7)+(−16)

Evaluate the expression for the given replacement values. - 5x−6yx+4x=10,y=4\frac { 5 x - 6 y } { x + 4 } \quad x = 10 , y = 4x+45x−6y​x=10,y=4

Find the opposite (additive inverse), and the reciprocal (multiplicative inverse). Assume that the value of an expression is not 0. -Expression: - 34\frac { 3 } { 4 }43​ Opposite: __ Reciprocal:-----

Write the fraction as an equivalent fraction with the given denominator. - 411\frac { 4 } { 11 }114​ with a denominator of 22

Identify the property illustrated by the expression. - 14(4)=1\frac { 1 } { 4 } ( 4 ) = 141​(4)=1

Simplify. - 3+6−5−1\frac { 3 + 6 } { - 5 - 1 }−5−13+6​

Write the fraction as an equivalent fraction with the given denominator. - 37\frac { 3 } { 7 }73​ with a denominator of 35

17≥617 \geq 617≥6

Evaluate the expression for the given replacement values. - 8+4x−yx=9,y=−98 + 4 x - y \quad x = 9 , y = - 98+4x−yx=9,y=−9

List the numbers in set B that belong to the indicated set. - B={14,6,−14,0,05,9,2π,−50}B = \left\{ 14 , \sqrt { 6 } , - 14,0 , \frac { 0 } { 5 } , \sqrt { 9 } , 2 \pi , \frac { - 5 } { 0 } \right\}B={14,6​,−14,0,50​,9​,2π,0−5​} Real numbers

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - −2(x+4)- 2 ( x + 4 )−2(x+4)

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

Write the phrase as an algebraic expression. Let x represent the unknown number. -The quotient of 14 and a number

Find the reciprocal or multiplicative inverse. - −7- 7−7

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

Multiply or divide as indicated. Write the answer in lowest terms. - $3 \frac { 1 } { 3 } \cdot 4 \frac { 1 } { 6 }$

Find the additive inverse or opposite. - $- 15$

Simplify the expression. (Remember the order of operations.) - $2 - 0 - ( - 6 ) - 7 + ( - 9 )$

Multiply or divide as indicated. Write the answer in lowest terms. - $3 \cdot 2 \frac { 7 } { 15 }$

Add or subtract as indicated. Write the answer in lowest terms. - $20 \frac { 3 } { 4 } - \frac { 14 } { 16 }$

Perform the indicated operations. - $( - 8 ) ( - 1 ) ( - 6 ) - ( - 7 )$

Simplify the expression. (Remember the order of operations.) - $17 - ( - 7 ) + ( - 16 )$

Evaluate the expression for the given replacement values. - $\frac { 5 x - 6 y } { x + 4 } \quad x = 10 , y = 4$

Find the opposite (additive inverse), and the reciprocal (multiplicative inverse). Assume that the value of an expression is not 0. -Expression: - $\frac { 3 } { 4 }$ Opposite: __ Reciprocal:-----

Write the fraction as an equivalent fraction with the given denominator. - $\frac { 4 } { 11 }$ with a denominator of 22

Identify the property illustrated by the expression. - $\frac { 1 } { 4 } ( 4 ) = 1$

Simplify. - $\frac { 3 + 6 } { - 5 - 1 }$

Write the fraction as an equivalent fraction with the given denominator. - $\frac { 3 } { 7 }$ with a denominator of 35

$17 \geq 6$

Evaluate the expression for the given replacement values. - $8 + 4 x - y \quad x = 9 , y = - 9$

List the numbers in set B that belong to the indicated set. - $B = \left\{ 14 , \sqrt { 6 } , - 14,0 , \frac { 0 } { 5 } , \sqrt { 9 } , 2 \pi , \frac { - 5 } { 0 } \right\}$ Real numbers

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $- 2 ( x + 4 )$

Find the reciprocal or multiplicative inverse. - $- 7$