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 1)
A) { } B) {1, 2, 3, 5, 7, 9}
C) {0} D) {1, 2, 3, 4, 5, 7, 9}
2) A ∪ C 2)
A) {1} B) {1, 2, 3, 4, 5, 8, 9}
C) {4, 6, 7, 9} D) {1, 2, 3, 5, 7, 9}
3) A ∩ B 3)
A) {1, 2, 3, 5, 8} B) {2, 3, 5} C) {1, 2, 3, 5, 7, 8} D) {2, 3, 5, 7}
4) A ∩ C 4)
A) {1} B) {4, 6, 7, 9}
C) {1, 2, 3, 4, 5, 7, 8, 9} D) {1, 2, 3, 5, 7, 9}
5) (A ∩ B) ∪ C 5)
A) {2, 3, 5} B) {1, 2, 3, 5} C) {1, 2, 3} D) {1, 2, 3, 4, 5, 9}
6) (B ∪ C) ∩ A 6)
A) { } B) {1, 2, 3, 5}
C) {1, 2, 3, 4, 5, 7, 9} D) {1, 2, 3}
7) B 7)
A) {0, 1, 4, 6, 9} B) {0, 1, 4, 6, 7, 8, 9}
C) {0, 1, 4, 6, 8, 9} D) {1, 4, 6, 8, 9}
8) A ∪ B 8)
A) {1, 4, 6, 8, 9} B) {0, 4, 6, 9} C) {1, 2, 3, 5, 7, 8} D) {4, 6, 9}
9) A ∩ C 9)
A) {1} B) {1, 2, 3, 4, 5, 7, 8, 9}
C) {0, 2, 3, 4, 5, 6, 7, 8, 9} D) {1, 2, 3, 4, 5, 6, 7, 8, 9}
10) B ∩ C 10)
A) {1, 2, 3, 4, 5, 7, 9} B) {6, 8}
C) {0, 6, 8} D) { }
List all the elements of B that belong to the given set.
2 5
11) B = 1, 6, -19, 0, , - , 2.1 11)
5 2
Integers
A) {1, 0} B) {1, 0, 6} C) {1, -19, 0} D) {1, -19}
1
, 3 4
12) B = 15, 5, -22, 0, , - , 4.7 12)
4 3
Natural numbers
4
A) {15} B) {15, 0} C) 15, 0, - D) {-22, 0, 15}
3
13) B = 5, 5, -5, 0, 0 13)
4
Real numbers
A) 5, 5, -5, 0, 0 B) {5, -5, 0}
4
0
C) 5, -5 D) 5, -5, 0,
4
14) B = 16, 6, -10, 0, 0 , 0.26 14)
5
Rational numbers
A) 16, -10, 0, 0 , 0.26 B) 6, 0 , 0.26
5 5
C) { 6} D) {16, 0}
15) B = 17, 5, -19, 0, 0 , 0.43 15)
5
Irrational numbers
A) { 5, 0.43} B) { 5}
C) 5, 0 , 0.43 D) 5, 0
5 5
8 9
16) B = {2, 7, -14, 0, , - , 7.2, 16π, 0.167167167...} 16)
9 8
Integers
A) {2, 0} B) {2, -14, 0} C) {2, -14} D) {2, 0, 7}
7 9
17) B = {10, 7, -8, 0, , - , 3.7, 7π, 0.747474...} 17)
9 7
Natural numbers
9
A) {10} B) {10, 0} C) 10, 0, - D) {-8, 0, 10}
7
2
, 18) B = {18, 7, -13, 0, 0 , 16, 0.92, -7π, 0.161616...} 18)
6
Rational numbers
A) 18, -13, 0, 0 , 16, 0.92, -7π, 0.161616...
6
B) 18, -13, 0, 0 , 16, 0.92, 0.161616...
6
C) 18, -13, 0, 0 , 0.92
6
D) 18, -13, 0, 0 , 0.92, 0.161616...
6
19) B = {2, 7, -5, 0, 0 , , 0.88, -7π, 0.999...} 19)
6
Irrational numbers
A) { 7} B) 7, 0 ,-7π
6
C) { 7, -7π, 0.999...} D) { 7, -7π}
Approximate the number rounded to three decimal places, and truncated to three decimal places.
20) 0.2414 20)
A) 0.241 B) 0.240 C) 0.242 D) 0.241
0.241 0.242 0.241 0.242
21) 0.57142857 21)
A) 0.571 B) 0.571 C) 0.572 D) 0.570
0.571 0.572 0.571 0.572
9
22) 22)
7
A) 1.286 B) 1.287 C) 1.287 D) 1.286
1.285 1.285 1.286 1.286
Write the statement using symbols.
23) The sum of 6 and 3 is 9. 23)
6
A) 6 ∙ 3 = 18 B) 6 - 3 = 3 C) 6 + 3 = 9 D) = 2
3
24) The difference 52 less 13 equals 39. 24)
52 = 4
A) B) 52 - 13 = 39 C) 52 + 13 = 65 D) 52 ∙ 13 = 676
13
3
, 25) The product of 55 and 11 equals 605. 25)
55 = 5
A) 55 + 11 = 66 B) C) 55 ∙ 11 = 605 D) 55 - 11 = 44
11
26) The quotient 33 divided by 11 is 3. 26)
33 = 3
A) 33 + 11 = 44 B) 33 ∙ 11 = 363 C) D) 33 - 11 = 22
11
27) The sum of four times x and 5 decreased by 7 is 8. 27)
A) 4(x + 5 - 7) = 8 B) 7 - (4x + 5) = 8 C) 4(x + 5) - 7 = 8 D) 4x + 5 - 7 = 8
28) Three times the difference of x and 8 is -10. 28)
A) 3x - 8 = -10 B) 3(x - 8) = -10 C) 3 - x - 8 = -10 D) 3 + x - 8 = -10
29) The quotient of x and the sum of 5 and x. 29)
x+5 x
A) x(5 + x) B) C) D) x + 5 + x
x 5+x
Evaluate the expression.
30) 1 - 6 - 7 30)
A) 14 B) 2 C) 0 D) -12
31) 3 + 7 31)
9
27 34 34 27
A) B) C) D)
9 7 9 7
32) 8 ∙ [8(4 - 7) - 2] 32)
A) -40 B) -208 C) -148 D) -144
33) 7 ∙ [8 + 6 ∙ (3 + 4)] 33)
A) 686 B) 682 C) 98 D) 350
34) 4 - (1 + 5 ∙ 2 - 9) 34)
A) 6 B) -16 C) 2 D) 4
24 ∙ 3
35) 35)
18 8
3 1 4
A) B) C) 2 D)
4 2 3
3 2 1
36) ∙ + 36)
5 3 3
1 2 3
A) B) 3 C) D)
5 5 5
4