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,TESTBANK College Algebra, 12th edition Sullivan
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, TEST BANK
(DOWNLOADABLE)

COLLEGE ALGEBRA
TWELFTH EDITION




Michael Sullivan
Chicago State University

,Copyright © 2025, 2021, 2017 by Pearson Education, Inc. or its affiliates. All Rights Reserved. Manufactured in the
United States of America. This publication is protected by copyright, and permission should be obtained from the
publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any
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PEARSON and MYLAB are exclusive trademarks owned by Pearson Education, Inc. or its affiliates in the U.S.
and/or other countries.

Unless otherwise indicated herein, any third-party trademarks, logos, or icons that may appear in this work are the
property of their respective owners, and any references to third-party trademarks, logos, icons, or other trade dress are
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between the owner and Pearson Education, Inc., or its affiliates, authors, licensees, or distributors.




PPID: A103000354130

,Sullivan College Algebra 12e
Chapter 0 Test Item File

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 5, 8}, B = {2, 3, 5, 7}, and C = {1, 4, 9} to find the set.
1) B ∪ C
A) {1, 2, 3, 5, 7, 9} B) {0} C) {1, 2, 3, 4, 5, 7, 9} D) { }
Objective: (0.1) Work with Sets


2) A ∪ C
A) {4, 6, 7, 9} B) {1, 2, 3, 4, 5, 8, 9} C) {1} D) {1, 2, 3, 5, 7, 9}
Objective: (0.1) Work with Sets


3) A ∩ B
A) {2, 3, 5} B) {2, 3, 5, 7} C) {1, 2, 3, 5, 7, 8} D) {1, 2, 3, 5, 8}
Objective: (0.1) Work with Sets


4) A ∩ C
A) {1, 2, 3, 5, 7, 9} B) {4, 6, 7, 9} C) {1, 2, 3, 4, 5, 7, 8, 9} D) {1}
Objective: (0.1) Work with Sets


5) (A ∩ B) ∪ C
A) {1, 2, 3, 5} B) {1, 2, 3} C) {2, 3, 5} D) {1, 2, 3, 4, 5, 9}
Objective: (0.1) Work with Sets


6) (B ∪ C) ∩ A
A) {1, 2, 3} B) {1, 2, 3, 5} C) { } D) {1, 2, 3, 4, 5, 7, 9}
Objective: (0.1) Work with Sets


7) B
A) {0, 1, 4, 6, 8, 9} B) {0, 1, 4, 6, 9} C) {1, 4, 6, 8, 9} D) {0, 1, 4, 6, 7, 8, 9}
Objective: (0.1) Work with Sets


8) A ∪ B
A) {4, 6, 9} B) {1, 4, 6, 8, 9} C) {0, 4, 6, 9} D) {1, 2, 3, 5, 7, 8}
Objective: (0.1) Work with Sets


9) A ∩ C
A) {1} B) {0, 2, 3, 4, 5, 6, 7, 8, 9}
C) {1, 2, 3, 4, 5, 6, 7, 8, 9} D) {1, 2, 3, 4, 5, 7, 8, 9}
Objective: (0.1) Work with Sets


10) B ∩ C
A) {1, 2, 3, 4, 5, 7, 9} B) { } C) {6, 8} D) {0, 6, 8}
Objective: (0.1) Work with Sets




1

,List all the elements of B that belong to the given set.
3 4
11) B = 5, 8, -3, 0, , - , 6.8
4 3
Integers
A) {5, 0} B) {5, -3} C) {5, 0, 8} D) {5, -3, 0}
Objective: (0.1) Classify Numbers


2 3
12) B = 2, 8, -3, 0, , - , 4.3
3 2
Natural numbers
3
A) {2, 0} B) {2} C) {-3, 0, 2} D) 2, 0, -
2
Objective: (0.1) Classify Numbers


0
13) B = 16, 7, -6, 0,
4

Real numbers
0 0
A) {16, -6, 0} B) 16, -6 C) 16, -6, 0, D) 16, 7, -6, 0,
4 4
Objective: (0.1) Classify Numbers


0
14) B = 16, 7, -19, 0, , 0.2
6

Rational numbers
0 0
A) {16, 0} B) 7, , 0.2 C) 16, -19, 0, , 0.2 D) { 7}
6 6
Objective: (0.1) Classify Numbers


0
15) B = 8, 5, -11, 0, , 0.63
7

Irrational numbers
0 0
A) 5, , 0.63 B) 5, C) { 5, 0.63} D) { 5}
7 7
Objective: (0.1) Classify Numbers


3 5
16) B = {8, 5, -9, 0, , - , 3.7, 25π, 0.255255255...}
5 3
Integers
A) {8, 0, 5} B) {8, 0} C) {8, -9, 0} D) {8, -9}
Objective: (0.1) Classify Numbers




2

, 2 9
17) B = {19, 6, -15, 0, , - , 7.5, 6π, 0.646464...}
9 2
Natural numbers
9
A) {-15, 0, 19} B) 19, 0, - C) {19, 0} D) {19}
2
Objective: (0.1) Classify Numbers


0
18) B = {17, 6, -13, 0, , 25, 0.71, -6π, 0.252525...}
7
Rational numbers
0 0
A) 17, -13, 0, , 0.71, 0.252525... B) 17, -13, 0, , 25, 0.71, 0.252525...
7 7
0 0
C) 17, -13, 0, , 0.71 D) 17, -13, 0, , 25, 0.71, -6π, 0.252525...
7 7
Objective: (0.1) Classify Numbers


0
19) B = {1, 5, -5, 0, , , 0.44, -5π, 0.444...}
4
Irrational numbers
0
A) 5, ,-5π B) { 5 , -5π} C) { 5, -5π, 0.444...} D) { 5}
4
Objective: (0.1) Classify Numbers


Approximate the number rounded to three decimal places, and truncated to three decimal places.
20) 4.9617
A) 4.961 B) 4.962 C) 4.962 D) 4.963
4.962 4.962 4.961 4.961
Objective: (0.1) Classify Numbers


21) 0.28571429
A) 0.286 B) 0.286 C) 0.285 D) 0.287
0.285 0.286 0.286 0.285
Objective: (0.1) Classify Numbers


18
22)
7
A) 2.571 B) 2.571 C) 2.572 D) 2.572
2.571 2.572 2.572 2.571
Objective: (0.1) Classify Numbers


Write the statement using symbols.
23) The sum of 16 and 8 is 24.
16
A) 16 + 8 = 24 B) 16 ∙ 8 = 128 C) =2 D) 16 - 8 = 8
8
Objective: (0.1) Evaluate Numerical Expressions




3

, 24) The difference 21 less 7 equals 14.
21
A) 21 + 7 = 28 B) 21 - 7 = 14 C) 21 ∙ 7 = 147 D) =3
7
Objective: (0.1) Evaluate Numerical Expressions


25) The product of 8 and 2 equals 16.
8
A) 8 - 2 = 6 B) =4 C) 8 ∙ 2 = 16 D) 8 + 2 = 10
2
Objective: (0.1) Evaluate Numerical Expressions


26) The quotient 12 divided by 4 is 3.
12
A) 12 ∙ 4 = 48 B) 12 - 4 = 8 C) 12 + 4 = 16 D) =3
4
Objective: (0.1) Evaluate Numerical Expressions


27) The sum of four times x and 5 decreased by 7 is 8.
A) 7 - (4x + 5) = 8 B) 4x + 5 - 7 = 8 C) 4(x + 5) - 7 = 8 D) 4(x + 5 - 7) = 8
Objective: (0.1) Evaluate Numerical Expressions


28) Three times the difference of x and 8 is -10.
A) 3(x - 8) = -10 B) 3 - x - 8 = -10 C) 3 + x - 8 = -10 D) 3x - 8 = -10
Objective: (0.1) Evaluate Numerical Expressions


29) The quotient of x and the sum of 5 and x.
x+5 x
A) B) C) x(5 + x) D) x + 5 + x
x 5+x
Objective: (0.1) Evaluate Numerical Expressions


Evaluate the expression.
30) 2 + 6 - 9
A) -13 B) 5 C) -1 D) 17
Objective: (0.1) Evaluate Numerical Expressions


3
31) 2 +
4
8 11 11 8
A) B) C) D)
3 4 3 4
Objective: (0.1) Evaluate Numerical Expressions


32) 8 ∙ [4(2 - 8) - 8]
A) -256 B) -88 C) 192 D) 188
Objective: (0.1) Evaluate Numerical Expressions


33) 2 ∙ [4 + 2 ∙ (7 + 2)]
A) 104 B) 44 C) 26 D) 108
Objective: (0.1) Evaluate Numerical Expressions




4

,34) -5 - (-1 + 2 ∙ 6 + 8)
A) -26 B) -8 C) -24 D) 14
Objective: (0.1) Evaluate Numerical Expressions


42 6
35) ∙
48 7
3 8 4 7
A) B) C) D)
4 7 3 8
Objective: (0.1) Evaluate Numerical Expressions


4
36) ∙ 2+1
3
8
A) 1 B) C) 4 D) 12
3
Objective: (0.1) Evaluate Numerical Expressions


1 1
37) ∙ 7- + 10
3 6
73 17 101 221
A) B) C) D)
6 6 6 18
Objective: (0.1) Evaluate Numerical Expressions


4 + 10
38)
3+2
6 14
A) - B) - 6 C) D) 14
5 5
Objective: (0.1) Evaluate Numerical Expressions


2-6
39)
6-2
1 1
A) -1 B) -4 C) D) -
3 3
Objective: (0.1) Evaluate Numerical Expressions


1 4
40) +
9 5
41 1 41 5
A) B) C) D)
14 9 45 14
Objective: (0.1) Evaluate Numerical Expressions


5 1
41) -
8 7
1 27 1 27
A) B) C) D)
2 8 14 56
Objective: (0.1) Evaluate Numerical Expressions




5

, 3
11
42)
2
5
22 55 6 15
A) B) C) D)
15 6 55 22
Objective: (0.1) Evaluate Numerical Expressions


1 1 1
43) + ∙
9 4 5
41 1 13 29
A) B) C) D)
36 90 180 180
Objective: (0.1) Evaluate Numerical Expressions


Use the Distributive Property to remove the parentheses.
44) 6(x + 4)
A) 6x + 4 B) 6x + 24 C) x + 24 D) 24x
Objective: (0.1) Work with Properties of Real Numbers


45) 3x(x + 9)
A) x2 + 27x B) 27x2 C) 3x2 + 27x D) 3x2 + 9
Objective: (0.1) Work with Properties of Real Numbers


46) 8(2x + 4)
A) 48x B) 16x + 4 C) 16x + 32 D) 10x + 12
Objective: (0.1) Work with Properties of Real Numbers


3 1
47) 2 x-
2 6
1 1 1 3 1
A) 3x - B) 3x - C) 3x - D) x-
2 3 6 2 3
Objective: (0.1) Work with Properties of Real Numbers


48) (x - 8)(x - 1)
A) x2 + 8x - 9 B) x2 - 9x + 8 C) x2 - 10x + 8 D) x2 - 9x - 9
Objective: (0.1) Work with Properties of Real Numbers


49) (x - 3)(x + 11)
A) x2 - 33x + 8 B) x2 + 8x - 33 C) x2 + 7x - 33 D) x2 + 8x + 8
Objective: (0.1) Work with Properties of Real Numbers


50) (x + 9)(x - 9)
A) x2 + 18x - 81 B) x2 - 81 C) x2 - 18 D) x2 - 18x - 81
Objective: (0.1) Work with Properties of Real Numbers




6

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