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Review of Prealgebra
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1.
(3 - 1)×(2 + 12/2) =
?
7
14
16
8
2. Which property of addition is used in the following equation:
(67 + 11 + 23) + (48 + 16) = (67 + 23 + 11) + (48 + 16)
Associative Property of Addition
Commutative Property of Addition
Distributive Property of Addition
Identity Property of Addition
3. Which property of multiplication is used in the following equation:
(11 + 3)×5 = (11×5) + (3×5)
Associative Property of Multiplication
Commutative Property of Multiplication
Distributive Property of Multiplication
Identity Property of Multiplication
4. Which property is used in the following equation:
11×1 + 15×(5 + 6) = 11 + 15×(5 + 6)
Zero Product Property
Distributive Property of Multiplication over Addition
Identity Property of Addition
Identity Property of Multiplication
5.
76 + ? - (7×4×0) - 12 = 76
12
40
28
0
6. Which of the following numerals represents the following: 6 ten millions, 2 millions, 5 hundred thousands, 7 thousands, 3 hundreds.
62,573
62,573,000
62,057,300
62,507,300
7. 159,024 is divisible by which of the following?
1, 2, 3, and 4, but not 6, 8, and 9.
1, 2, 3, 4, and 6, but not 8 and 9.
1, 2, 3, 4, 6, and 8, but not 9.
1, 2, 3, 4, 6, 8, and 9.
8. 82,709 is divisible by which of the following?
3
3 and 9
8
None of the above
9. Which of the following numbers is prime?
56
91
71
1
10. What is the prime factorization of 1,100?
10×10×11
2×5×11
2×2×5×5×11
2×5×10×11
11. What are the greatest common factor and least common multiple of 82 and 123?
GCF = 41, LCM = 246
GCF = 246, LCM = 41
GCF = 6, LCM = 41
GCF = 41, LCM = 6
12. Which is greatest?
8.70
8.07
8.709
8.079
13. Round 72,091 to the nearest hundred.
72,000
72,100
72,900
721
14.
3.02 + 5.011 =
?
8.31
8.031
8.13
8.013
15.
1.1×0.11 =
?
121.0
12.1
1.21
0.121
16. Convert 11 3/8 into an improper fraction.
35/8
41/8
91/8
41/3
17. Reduce 64/12 to lowest terms.
32/6
16/12
16/6
16/3
18. What is the least common denominator of 45 and 30?
15
90
135
270
19.
4/15 + 7/12 =
?
17/20
11/27
11/60
28/180
20. What is 5/6 of 8/15?
8/2
4/15
4/9
41/30
21.
(21/4)/(3/22) =
?
237/44
63/88
7/22
77/2
22. Express 0.175 as a fraction in lowest terms.
175/1,000
175/100
35/200
7/40
23. Express 56.4% as a decimal.
564.0
56.4
5.64
0.564
24. Express 7/8 as a percent.
0.875%
8.75%
87.5%
78%
25. Express 649/1,000 as a percent.
0.649%
6.49%
64.9%
649%
26. What is 5% of 125?
6.25
25
62.5
625
27. Which of the following number lines is correctly labeled?
Number Lines
Top
Middle
Bottom
All three are correctly labeled.
28. On the following number line, which pair of points corresponds to numbers that are opposites?
Number Line
A and F
B and F
B and E
C and D
29.
-7
fits into all the following categories EXCEPT
Integers
Rationals
Irrationals
Real Numbers
30. All the following are whole numbers EXCEPT
0
-12
14
1
31.
99 - (- 13) =
?
86
-86
112
-112
32.
-11×(- 3) - (12/(- 4)) =
?
36
30
-30
-36
33.
| 3 - 6| - | - 3×4| =
?
15
-15
9
-9
34.
3
^{4}
=
?
12
64
81
243
35.
(- 4/3)
^{2}
=
?
16/3
-16/3
16/9
-16/9
36.
(5/3)
^{-3}
=
?
125/27
-125/27
27/125
-27/125
37.
64
^{2/3}
=
?
16
24
512
1/16
38. Simplify
.
12×
6×
3×
144×
39.
(7 - 3)
^{2}
=
?
40
16
58
100
40. What is 83,500 in scientific notation?
8.3500×10
^{-4}
8.35×10
^{4}
8.3500×10
^{4}
8.35×10
^{5}
41. How many significant digits does 520.03 have?
2
3
4
5
42. How many inches are in 17.9 feet?
1.49
5.9
179
215
43. What is the perimeter of a rectangle with height 6 and width 7?
13
26
42
52
44. What is the area of a square with side length 0.5?
0.25
2
2.5
5
45. What is the area of a circle with diameter 7?
10.99
21.98
38.47
153.86
46. If
h
represents the number of hours Bonnie spends reading, which expression represents twice the number of hours she spends reading, plus 11 more hours?
(2 + 11)
h
h
/2 + 11
2
h
+ 11
2 + 11
h
47. What is
5
t
- 11
if
t
= 6
?
19
45
55
-25
48. What is
(8 +
h
)/4
if
h
= 20
?
5
7
9
13
49. Solve for
d
:
3 + 4
d
= 19
d
= 22/4
d
= 4
d
= 16
d
= 64
50. Solve for
s
:
3×(17 -
s
) = 18
s
= 6
s
= - 6
s
= 11
s
= - 11
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