TEST ITEM FILE
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R
EU
C OLLEGE ALGEBRA
ELEVENTH EDITION
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OI
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CO
Michael Sullivan
ED
Chicago State University
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,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.
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}
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
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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
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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
A) {1, 2, 3, 5} B) {1, 2, 3, 4, 5, 7, 9}
OI C) { } D) {1, 2, 3}
7) B
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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}
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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}
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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.
List all the elements of B that belong to the given set.
8 9
1) B = 16, 8, -4, 0, , - , 7.5
9 8
Integers
A) {16, -4, 0} B) {16, 0} C) {16, -4} D) {16, 0, 8}
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2) B = 19, 7, -9, 0, , -3, 4.4
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Natural numbers
A) {19} B) 19, 0, - 3 C) {19, 0} D) {-9, 0, 19}
0
3) B = 20, 7, -20, 0,
1
Real numbers
0 0
A) 20, 7, -20, 0, B) {20, -20, 0} C) 20, -20, 0, D) 20, -20
1 1
0
4) B = 14, 7, -17, 0, , 0.47
7
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Rational numbers
0
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A) 14, -17, 0, , 0.47 B) {14, 0}
7
0
C) { 7} D) 7, , 0.47
7
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0
5) B = 20, 7, -6, 0, , 0.79
6
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Irrational numbers
0 0
A) { 7} B) { 7, 0.79} C) 7, D) 7, , 0.79
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6 6
3 8
6) B = {6, 6, -21, 0, , - , 4.5, 4π, 0.464646...}
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Integers
A) {6, -21, 0} B) {6, 0} C) {6, -21} D) {6, 0, 6}
4 9
7) B = {5, 8, -15, 0, , - , 7.4, 8π, 0.848484...}
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9 4
Natural numbers
9
A) {5} B) 5, 0, - C) {5, 0} D) {-15, 0, 5}
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4
0
8) B = {11, 7, -3, 0, , 25, 0.38, -7π, 0.252525...}
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Rational numbers
0 0
A) 11, -3, 0, , 25, 0.38, 0.252525... B) 11, -3, 0, , 0.38
7 7
0 0
C) 11, -3, 0, , 0.38, 0.252525... D) 11, -3, 0, , 25, 0.38, -7π, 0.252525...
7 7
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9) B = {12, 8, -22, 0, , , 0.09, -8π, 0.252525...}
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Irrational numbers
A) { 8 , -8π} B) { 8}
0
C) 8, , -8π D) { 8, -8π, 0.252525...}
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Approximate the number rounded to three decimal places, and truncated to three decimal places.
10) 4.4814
A) 4.481 B) 4.482 C) 4.481 D) 4.480
4.481 4.481 4.482 4.482
11) 0.38461538
A) 0.385 B) 0.386 C) 0.385 D) 0.384
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0.384 0.384 0.385 0.385
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13
12)
9
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 OI
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Write the statement using symbols.
1) The sum of 18 and 9 is 27.
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18
A) 18 + 9 = 27 B) =2 C) 18 ∙ 9 = 162 D) 18 - 9 = 9
9
2) The difference 35 less 7 equals 28.
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35
A) 35 - 7 = 28 B) =5 C) 35 + 7 = 42 D) 35 ∙ 7 = 245
7
3) The product of 40 and 8 equals 320.
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40
A) 40 ∙ 8 = 320 B) =5 C) 40 + 8 = 48 D) 40 - 8 = 32
8
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4) The quotient 30 divided by 6 is 5.
30
A) =5 B) 30 ∙ 6 = 180 C) 30 + 6 = 36 D) 30 - 6 = 24
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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
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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