Algebra and Trigonometry: Enhanced with Graphing Utilities (8th Edition) by Michael Sullivan – Complete Test Bank with Multiple-Choice Questions and Answers

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Ch. 0 Chapter R: Review

0.1 Real Numbers




R
1 Work with Sets




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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




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




BR
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}




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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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BO
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}




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5) (A ∩ B) ∪ C




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A) {1, 2, 3, 4, 5, 9} B) {1, 2, 3, 5} C) {1, 2, 3} D) {2, 3, 5}

6) (B ∪ C) ∩ A




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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}

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}
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) { }

2 Classify Numbers

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

List all the elements of B that belong to the given set.
7 8
1) B = 10, 6, -4, 0, , - , 8.3
8 7
Integers
A) {10, -4, 0} B) {10, 0} C) {10, -4} D) {10, 0, 6}




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2 3
2) B = 4, 6, -23, 0, , - , 4.1
3 2
Natural numbers




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3
A) {4} B) 4, 0, - C) {4, 0} D) {-23, 0, 4}
2




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0
3) B = 4, 5, -13, 0,
6




D
Real numbers




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0 0
A) 4, 5, -13, 0, B) {4, -13, 0} C) 4, -13, 0, D) 4, -13
6 6




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0
4) B = 10, 5, -21, 0, , 0.43
9




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BO
Rational numbers
0
A) 10, -21, 0, , 0.43 B) {10, 0}
9




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0
C) { 5} D) 5, , 0.43
9




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0
5) B = 16, 5, -14, 0, , 0.17
3




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Irrational numbers
0 0
A) { 5} B) { 5, 0.17} C) 5, D) 5, , 0.17
3 3

7 9
6) B = {13, 7, -19, 0, , - , 3.5, 25π, 0.257257257...}
9 7
Integers
A) {13, -19, 0} B) {13, 0} C) {13, -19} D) {13, 0, 7}

1
7) B = {3, 6, -16, 0, , -4, 8.1, 6π, 0.625625625...}
4
Natural numbers
A) {3} B) 3, 0, - 4 C) {3, 0} D) {-16, 0, 3}

0
8) B = {8, 8, -23, 0, , 25, 0.89, -8π, 0.252525...}
2
Rational numbers
0 0
A) 8, -23, 0, , 25, 0.89, 0.252525... B) 8, -23, 0, , 0.89
2 2
0 0
C) 8, -23, 0, , 0.89, 0.252525... D) 8, -23, 0, , 25, 0.89, -8π, 0.252525...
2 2




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0
9) B = {5, 8, -15, 0, , , 0.28, -8π, 0.999...}
1
Irrational numbers




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0
A) { 8, -8π} B) { 8} C) 8, -8π D) { 8, -8π, 0.999...}
1 ,




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IE
Approximate the number rounded to three decimal places, and truncated to three decimal places.
10) 0.0797
A) 0.080 B) 0.081 C) 0.080 D) 0.079




D
0.079 0.079 0.080 0.080




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11) 2.66666667
A) 2.667 B) 2.668 C) 2.667 D) 2.666




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2.666 2.666 2.667 2.667




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13
12)
9




BO
A) 1.444 B) 1.445 C) 1.444 D) 1.445
1.444 1.444 1.445 1.445




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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.




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1) The sum of 40 and 8 is 48.
40
A) 40 + 8 = 48 B) =5 C) 40 ∙ 8 = 320 D) 40 - 8 = 32
8

2) The difference 22 less 11 equals 11.
22
A) 22 - 11 = 11 B) =2 C) 22 + 11 = 33 D) 22 ∙ 11 = 242
11

3) The product of 4 and 2 equals 8.
4
A) 4 ∙ 2 = 8 B) =2 C) 4 + 2 = 6 D) 4 - 2 = 2
2

4) The quotient 28 divided by 7 is 4.
28
A) =4 B) 28 ∙ 7 = 196 C) 28 + 7 = 35 D) 28 - 7 = 21
7

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

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) 9 - 4 + 7
A) 12 B) -2 C) 20 D) 6




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2
9) 7 +




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7
51 49 51 49




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A) B) C) D)
7 7 2 2




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10) 3 ∙ [5(8 - 5) - 6]




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A) 27 B) -9 C) -3 D) -13

11) 5 ∙ [8 + 4 ∙ (4 + 2)]




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A) 160 B) 360 C) 64 D) 356

12) -5 - (-8 + 4 ∙ 1 - 6)




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A) 5 B) -15 C) -7 D) -11




BO
27 8
13) ∙
72 9




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1 3
A) B) 3 C) D) 1
3 8




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3 3 3
14) ∙ +




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2 4 8
27 9 9 27
A) B) C) D)
16 8 16 8

1 1
15) ∙ 7- +8
4 6
233 115 89 49
A) B) C) D)
24 12 6 24

1+2
16)
9+2
3 1 3 1
A) B) - C) D) -
11 11 7 7

8-3
17)
3-8
8 8
A) -1 B) C) - D) 5
3 3

1 5
18) +
11 12
67 6 1 67
A) B) C) D)
132 23 22 23




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