Test Bank for College Algebra Enhanced with Graphing Utilities 8th Edition by Michael Sullivan, All Chapters

Ch. 0 Chapter R: Review

0.1 Real Numbers
1 Work with Sets

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
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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, 4, 5, 7, 9} B) { } C) {0} D) {1, 2, 3, 5, 7, 9}
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2) A ∪ C
A) {1, 2, 3, 4, 5, 8, 9} B) {4, 6, 7, 9} C) {1} D) {1, 2, 3, 5, 7, 9}

3) A ∩ B
A) {2, 3, 5} B) {1, 2, 3, 5, 7, 8} C) {2, 3, 5, 7} D) {1, 2, 3, 5, 8}
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4) A ∩ C
A) {1} B) {1, 2, 3, 4, 5, 7, 8, 9}
C) {4, 6, 7, 9} D) {1, 2, 3, 5, 7, 9}

5) (A ∩ B) ∪ C
A) {1, 2, 3, 4, 5, 9} B) {1, 2, 3, 5} C) {1, 2, 3} D) {2, 3, 5}
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6) (B ∪ C) ∩ A
A) {1, 2, 3, 5} B) {1, 2, 3, 4, 5, 7, 9} C) { } D) {1, 2, 3}

7) B
A) {0, 1, 4, 6, 8, 9} B) {1, 4, 6, 8, 9} C) {0, 1, 4, 6, 7, 8, 9} D) {0, 1, 4, 6, 9}
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8) A ∪ B
A) {0, 4, 6, 9} B) {4, 6, 9} C) {1, 4, 6, 8, 9} D) {1, 2, 3, 5, 7, 8}

9) A ∩ C
A) {0, 2, 3, 4, 5, 6, 7, 8, 9} B) {1}
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C) {1, 2, 3, 4, 5, 7, 8, 9} D) {1, 2, 3, 4, 5, 6, 7, 8, 9}

10) B ∩ C
A) {0, 6, 8} B) {6, 8} C) {1, 2, 3, 4, 5, 7, 9} D) { }
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2 Classify Numbers

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
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List all the elements of B that belong to the given set.
3 8
1) B = 9, 6, -22, 0, , - , 1.8
8 3
Integers
A) {9, -22, 0} B) {9, 0} C) {9, -22} D) {9, 0, 6}
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, 4 7
2) B = 8, 7, -18, 0, , - , 8.7
7 4
Natural numbers
7
A) {8} B) 8, 0, - C) {8, 0} D) {-18, 0, 8}
4
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0
3) B = 4, 6, -23, 0,
3

Real numbers
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0 0
A) 4, 6, -23, 0, B) {4, -23, 0} C) 4, -23, 0, D) 4, -23
3 3

0
4) B = 2, 6, -23, 0, , 0.8
3
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Rational numbers
0 0
A) 2, -23, 0, , 0.8 B) {2, 0} C) { 6} D) 6, , 0.8
3 3

0
5) B = 20, 8, -8, 0, , 0.79
3
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Irrational numbers
0 0
A) { 8} B) { 8, 0.79} C) 8, D) 8, , 0.79
3 3
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5 7
6) B = {14, 8, -12, 0, , - , 1.8, 9π, 0.989898...}
7 5
Integers
A) {14, -12, 0} B) {14, 0} C) {14, -12} D) {14, 0, 8}

5 6
7) B = {7, 6, -14, 0, , - , 5.1, 6π, 0.696969...}
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6 5
Natural numbers
6
A) {7} B) 7, 0, - C) {7, 0} D) {-14, 0, 7}
5
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0
8) B = {4, 5, -10, 0, , 25, 0.05, -5π, 0.252525...}
7
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Rational numbers
0 0
A) 4, -10, 0, , 25, 0.05, 0.252525... B) 4, -10, 0, , 0.05
7 7
0 0
C) 4, -10, 0, , 0.05, 0.252525... D) 4, -10, 0, , 25, 0.05, -5π, 0.252525...
7 7
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, 0
9) B = {17, 7, -6, 0, , , 0.59, -7π, 0.161616...}
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Irrational numbers
A) { 7, -7π} B) { 7}

0
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C) 7, -7π D) { 7, -7π, 0.161616...}
6 ,

Approximate the number rounded to three decimal places, and truncated to three decimal places.
10) 0.1142
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A) 0.114 B) 0.115 C) 0.114 D) 0.113
0.114 0.114 0.115 0.115

11) 0.28571429
A) 0.286 B) 0.287 C) 0.286 D) 0.285
0.285 0.285 0.286 0.286
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24
12)
7
A) 3.429 B) 3.43 C) 3.429 D) 3.43
3.428 3.428 3.429 3.429

3 Evaluate Numerical Expressions
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Write the statement using symbols.
1) The sum of 26 and 13 is 39.
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26
A) 26 + 13 = 39 B) =2 C) 26 ∙ 13 = 338 D) 26 - 13 = 13
13

2) The difference 20 less 5 equals 15.
20
A) 20 - 5 = 15 B) =4 C) 20 + 5 = 25 D) 20 ∙ 5 = 100
5
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3) The product of 10 and 2 equals 20.
10
A) 10 ∙ 2 = 20 B) =5 C) 10 + 2 = 12 D) 10 - 2 = 8
2
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4) The quotient 5 divided by 1 is 5.
5
A) = 5 B) 5 ∙ 1 = 5 C) 5 + 1 = 6 D) 5 - 1 = 4
1
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5) The sum of four times x and 5 decreased by 7 is 8.
A) 4x + 5 - 7 = 8 B) 4(x + 5) - 7 = 8 C) 7 - (4x + 5) = 8 D) 4(x + 5 - 7) = 8

6) Three times the difference of x and 8 is -10.
A) 3(x - 8) = -10 B) 3 - x - 8 = -10 C) 3x - 8 = -10 D) 3 + x - 8 = -10
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7) The quotient of x and the sum of 5 and x.
x x+5
A) B) x + 5 + x C) x(5 + x) D)
5+x x



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, Evaluate the expression.
8) 7 + 9 - 6
A) 10 B) 22 C) -8 D) 4

3
9) 4 +
8
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35 32 35 32
A) B) C) D)
8 8 3 3

10) 3 ∙ [8(7 - 3) - 2]
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A) 90 B) 72 C) 26 D) 68

11) 6 ∙ [7 + 7 ∙ (3 + 5)]
A) 378 B) 672 C) 98 D) 668

12) 4 - (6 + 5 ∙ 9 - 1)
A) -46 B) 54 C) -48 D) -34
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16 3
13) ∙
15 8
2 5 16 5
A) B) C) D)
5 2 15 8
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4 1 1
14) ∙ +
3 2 8
5 2 5 5
A) B) C) D)
6 3 24 2
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1 1
15) ∙ 5- +7
4 5
41 161 59 31
A) B) C) D)
5 20 5 20

4+7
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16)
10 + 9
11 3
A) B) - C) 11 D) - 3
19 19
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9-7
17)
7-9
9 9
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A) -1 B) C) - D) 2
7 7

3 1
18) +
5 11
38 1 1 19
A) B) C) D)
55 4 55 2
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