Algebra and Trigonometry - Complete Test test bank - exam questions - quizzes (updated 2022)

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}

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}

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}

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.
2 9
1) B = 15, 6, -14, 0, , - , 8.6
9 2
Integers
A) {15, -14, 0} B) {15, 0} C) {15, -14} D) {15, 0, 6}




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, 2 3
2) B = 2, 7, -19, 0, , - , 1.8
3 2
Natural numbers
3
A) {2} B) 2, 0, - C) {2, 0} D) {-19, 0, 2}
2

0
3) B = 9, 7, -13, 0,
7

Real numbers
0 0
A) 9, 7, -13, 0, B) {9, -13, 0} C) 9, -13, 0, D) 9, -13
7 7

0
4) B = 8, 6, -16, 0, , 0.87
4

Rational numbers
0 0
A) 8, -16, 0, , 0.87 B) {8, 0} C) { 6} D) 6, , 0.87
4 4

0
5) B = 19, 7, -6, 0, , 0.46
8

Irrational numbers
0 0
A) { 7} B) { 7, 0.46} C) 7, D) 7, , 0.46
8 8

2 7
6) B = {2, 6, -12, 0, , - , 7.6, 16π, 0.166166166...}
7 2
Integers
A) {2, -12, 0} B) {2, 0} C) {2, -12} D) {2, 0, 6}

7 9
7) B = {15, 6, -2, 0, , - , 2.4, 6π, 0.625625625...}
9 7
Natural numbers
9
A) {15} B) 15, 0, - C) {15, 0} D) {-2, 0, 15}
7

0
8) B = {20, 8, -24, 0, , 16, 0.3, -8π, 0.161616...}
1
Rational numbers
0 0
A) 20, -24, 0, , 16, 0.3, 0.161616... B) 20, -24, 0, , 0.3
1 1
0 0
C) 20, -24, 0, , 0.3, 0.161616... D) 20, -24, 0, , 16, 0.3, -8π, 0.161616...
1 1




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, 0
9) B = {17, 5, -19, 0, , , 0.23, -5π, 0.161616...}
3
Irrational numbers
A) { 5 , -5π} B) { 5}

0
C) 5, ,-5π D) { 5, -5π, 0.161616...}
3

Approximate the number rounded to three decimal places, and truncated to three decimal places.
10) 5.5469
A) 5.547 B) 5.548 C) 5.547 D) 5.546
5.546 5.546 5.547 5.547

11) 0.61538462
A) 0.615 B) 0.616 C) 0.615 D) 0.614
0.615 0.615 0.616 0.616

11
12)
7
A) 1.571 B) 1.572 C) 1.571 D) 1.572
1.571 1.571 1.572 1.572

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

Write the statement using symbols.
1) The sum of 14 and 7 is 21.
14
A) 14 + 7 = 21 B) =2 C) 14 · 7 = 98 D) 14 - 7 = 7
7

2) The difference 3 less 1 equals 2.
3
A) 3 - 1 = 2 B) =3 C) 3 + 1 = 4 D) 3 · 1 = 3
1

3) The product of 6 and 2 equals 12.
6
A) 6 · 2 = 12 B) = 3 C) 6 + 2 = 8 D) 6 - 2 = 4
2

4) The quotient 28 divided by 14 is 2.
28
A) =2 B) 28 · 14 = 392 C) 28 + 14 = 42 D) 28 - 14 = 14
14

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

2
9) 3 +
9
29 27 29 27
A) B) C) D)
9 9 2 2

10) 4 · [6(8 - 5) - 2]
A) 64 B) 48 C) 10 D) 44

11) 7 · [5 + 7 · (2 + 3)]
A) 280 B) 420 C) 70 D) 416

12) -9 - (-6 + 3 · -5 + 8)
A) 4 B) -22 C) 20 D) -8

20 2
13) ·
16 5
1 5 8
A) B) 2 C) D)
2 4 5

3 4 4
14) · +
2 5 15
8 6 8 16
A) B) C) D)
5 5 15 5

1 1
15) · 8- +9
4 5
219 54 84 12
A) B) C) D)
20 5 5 5

8+9
16)
5+1
17 1 17 1
A) B) - C) D) -
6 6 4 4

4-1
17)
1-4
A) -1 B) 4 C) - 4 D) 3

5 1
18) +
11 13
76 1 1
A) B) C) D) 19
143 4 143




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