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COLLEGE ALGEBRA
TWELFTH EDITION
Michael Sullivan
Chicago State University
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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