Algebra and Trigonometry Enhanced with Graphing Utilities 8th Edition - Test Bank by Michael Sullivan

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.

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

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}
U
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}
VI
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}
A
5) (A ∩ B) ∪ C
A) {1, 2, 3, 4, 5, 9} B) {1, 2, 3, 5} C) {1, 2, 3} D) {2, 3, 5}
_A
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}
PP
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
RO
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
VE
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
D
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
3
A) {4} B) 4, 0, - C) {4, 0} D) {-23, 0, 4}
2

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

Real numbers
0 0
A) 4, 5, -13, 0, B) {4, -13, 0} C) 4, -13, 0, D) 4, -13
6 6
U
0
4) B = 10, 5, -21, 0, , 0.43
9
VI
Rational numbers
0
A) 10, -21, 0, , 0.43 B) {10, 0}
9
0
A
C) { 5} D) 5, , 0.43
9

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

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

7 9
6) B = {13, 7, -19, 0, , - , 3.5, 25π, 0.257257257...}
9 7
Integers
A) {13, -19, 0} C) {13, -19}
RO
B) {13, 0} 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}
VE
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
D
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
0
A) { 8, -8π} B) { 8} C) 8, -8π D) { 8, -8π, 0.999...}
1 ,

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

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

13
12)
VI
9
A) 1.444 B) 1.445 C) 1.444 D) 1.445
1.444 1.444 1.445 1.445

3 Evaluate Numerical Expressions
A
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
_A
Write the statement using symbols.
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
PP
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.
RO
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
VE
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
D
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

2
9) 7 +
7
51 49 51 49
A) B) C) D)
7 7 2 2
ST
10) 3 ∙ [5(8 - 5) - 6]
A) 27 B) -9 C) -3 D) -13

11) 5 ∙ [8 + 4 ∙ (4 + 2)]
U
A) 160 B) 360 C) 64 D) 356

12) -5 - (-8 + 4 ∙ 1 - 6)
VI
A) 5 B) -15 C) -7 D) -11

27 8
13) ∙
72 9
1 3
A
A) B) 3 C) D) 1
3 8

3 3 3
_A
14) ∙ +
2 4 8
27 9 9 27
A) B) C) D)
16 8 16 8
PP
1 1
15) ∙ 7- +8
4 6
233 115 89 49
A) B) C) D)
24 12 6 24
RO
1+2
16)
9+2
3 1 3 1
A) B) - C) D) -
11 11 7 7

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

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

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