Download 28 7 − 64 4− 35 7 − −

Pre-Algebra Summer Review
Instructions:
1. This review is to be completed without a calculator.
2. Show your work on notebook paper that leads to your answer.
3. For all fractions, when appropriate write each as an improper
fraction in lowest terms.
Working with Integers
Simplify each expression.
1. 9 + (-11) + 9
2. (-12) + (-12) + 6
3. (-9) + (-7) + (-5)
4. (-6) + (-9) + (-9)
5. (-3) + (-10) + 5
6. -18 + 14
7. 75 + (-38)
8. 7 – 11
9. -25 – 10
10. 64 – (-15)
11. -8 – (-7)
12. -9(-8)
13. 20(- 7)
14. -3( -4 )( -1 )
15. 6(0)(-100)
16.
65 ÷ (−5)
17.
0 ÷ (−3)
18.
19.
−60 ÷12
20.
−28
7
21.
22.
−35
−7
−42 ÷ (−14)
64
−4
Order the integers from least to greatest.
23. -3, 0, 6, -10, 3
24. 63, -48, -9, 32, -106
25. 71, -70, 15, 99, -10, -84
Working with Fractions
Simplify. Write each expression as an improper fraction in lowest terms.
26.
3 3
+
7 2
27.
2+
2
5
28.
29.
3 1
−
5 2
30.
15 2
i
4 5
31.
32.
8 31
− i− i
3 46
33.
3 9
÷
5 5
34.
6 1
−
5 3
−2i−
7
4
16 64
÷
3 81
Working with Order of Operations
Simplify each expression.
35.
1+ (7 − 3)3
36.
72 ÷ 4 ÷ 3
37.
(33 − 2)(1+ 2)
38.
36 − 8
2+5
39.
22 (5 + 2)
29 −15
40.
1
( 2+14 )−(20−8) 

2
41.
3 (12−8) 
2
Working with Variable Expressions
Simplify each expression.
42.
−r + 4 − 2 + 3r
43.
6 + z + 2z − 4
44.
6 y +12 − 4 y
45.
8a − 2(3 + 4a)
46.
2(3 − x) −12 − 3x
47.
3(2t − 5) + 4t
Working with Equations
Solve each equation. When appropriate leave answers as an improper fraction
in lowest terms.
48.
n + 6 = −4
49.
15 = d − 3
50.
14 = 38 + w
51.
z − (−7) = 3
52.
−7 y = −49
53.
12 =
54.
2
18 = − m
3
55.
10c = −110
56.
2x − 7 = 6
57.
p
+1 = −1
4
58.
81 = 5x − 74
59.
6 = 6(− x +1)
Working with Inequalities
Solve each inequality.
60.
−24 + x > −30
61.
x
≤2
−3
k
4
Working with Scientific Notation
Write each number in scientific notation.
62. 5210
63. 8,200,000,000
Write each number in standard form.
66. 1.4 x 104
67. 4.221 x 108
64. 0.3284
65. .0004316
68. 6 x 10-1
69. 5.371 x 10-6
Working with Statistics
Find the mean, median, mode(s), and range of the data. When appropriate,
use decimals.
70. 18, 22, 57, 29, 22, 41
71. 8, 7, 2, 9, 11, 7, 10, 3, 12, 2, 6
Working with Percents
Write each percent as a fraction in simplest form.
72. 60%
73. 49%
74. 84%
75. 56%
Write each fraction as a percent.
76.
2
5
77.
9
10
78.
1
4
Write each percent as a decimal.
79. 2%
80. 20.4%
81. 106%
82. 0.94%
Write each decimal as a percent.
83. 0.585
84. 0.082
85. 0.0012
86. 4.2
Find the answer to each question.
87. What percent of 25 is 16?
88. 54 is 75% of what number?
89. What number is 27% of 250?
90. What percent of 32 is 12?