Download Pre-Algebra I Summer Review - Cincinnati Country Day School

Pre-Algebra I
Summer Review
Dear Algebra Students,
Welcome to 8th grade Algebra I. In preparation for beginning Algebra I, and doing some
geometry and probability and statistics, it is important to master certain pre-algebra concepts.
The Pre-Algebra class should complete this review over the summer. It will be graded as a test
and is due the day you return to school. Please use your textbook for help. Have a wonderful
summer!
Sincerely,
Mrs. Lewis
Do all your work on this paper. If you need more room — write on a separate piece of
paper and attach. Do NOT use Calculators except on 9 and 10. Show all work.
Matching. Write the correct letter next to each.
1. _____ 6(jk)=(6j)k
a. Distributive Property
2. _____ 5 ≤ 9, so 5 - 3 ≤ 9 — 3
b. Division Property of Equality
3. _____ (5 + 2) + 8 = 5 + (2 ÷ 8)
c. Subtraction Property of Inequality
4. _____ 78 + 15 = 15 + 78
d. Associative Property of
5 _____ 7 > 4, so 7(-3) < 4(-3)
e. Commutative Property of Addition
6. ______ 6(-3x + 9) = -l8x + 54
f. Associative Property of Multiplication
7. ______ 10=5(2), so 10+2 = 5(2)+2
g. Addition Property of Equality
8. _____ 8=4 +4, so
8 44

2
2
Addition
h. Multiplication Property of Inequality
Find the mean, median, and mode for each set of data. Round to the nearest tenth when necessary.
9.
32 43 40 39 38 43 40 42 43 44 43 41
Mean:________ Median: ___________ Mode:_________ Range: _________
10.
5.7 5.9 5.3 4.9 4.9 5.0 5.2 5.3 5.4
Mean:________
Median:_________ Mode:_________ Range: _________
Solve. Simplify fractions to lowest terms.
11. 4 x
4
16. 6
4
9
3
5
12.
`
3 3
x
5 5
17.
13. ½ x ¾
5 3

8 10
14. 8 ÷ ½
18. 6
1
2
5
2
3
15. ¾ ÷ ¼
Simplify each expression.
19. 4(3c - 6) + 4c
20. 3(12)
3(12)
8
4
4
Solve each equation.
21. 3(t+4) = 10
22.
4h  3 1

8
4
Evaluate each expression.
23. 3t+2s
s= -l
t=4
24. 3(t - s) + 2s
s=-2
t=3
Compare. Use <, >, or = to complete each statement.
25. -1 ______ │-3│
26.
36
______ 2(-9)
2
27. -4.56_____ -4.75
Tell whether each expression is a numerical expression or a variable expression.
28.
13f - 1 ______________
29. 4x3+5 __________
Write a variable inequality.
30. Less than 62 people (p) came to the dog show.
31. The high temperature (t) will be no more than 64 degrees Fahrenheit.
Solve each Inequality. Graph the solution on a number line.
32. 3g + 3 - 5 < 7
33. -12 + 3x > 15
Name the coefficients, any like terms, and the constants.
34. 4y- 3 + 3y - y
35. 2gh - 7 - 6gh
Coefficients ___________
Like Terms ___________
Constants
___________
Coefficients ___________
Like Terms ___________
Constants
___________
Find the perimeter and the area of the following rectangle. (A = LW and P = 2L + 2w)
L = 5.1 cm W = 12.6 cm
36. A = _____________
37. P = ____________
Complete each statement.
38. 52 m =
_______________cm
39. 6789 mL = ______________L
Graph and label the following coordinates:
40. C(2,-1)
41. D (-3, 0)
List all of the factors of each number.
42. 12
43. 36
Write using exponents.
44. b • b • b • e • e
Simplify each expression.
45. h5 * h3 * h6
46. 2•2 g•g•g•h•h•h
47. (4t+3s)2
Evaluate.
48. 2h + 2h - 4
for h=3
49. 2r - 5+3r
for r=2
Find the GCF (Greatest Common Factor).
50. 12 and 36 _____________________
51. 15 and 20 ___________________
Write the Prime Factorization of each number. (Make a Factor Tree)
52. 81 _________
53. 72 ________
54. 1000 ________
Write each expression without a fraction bar.
56. 2y/3p
57. x/y
Find the LCM (Least Common Multiple) of each group of expressions.
58. 25p2z5, 20 p3z ____________
59. 15 g4 h3, 40gh ___________
Write each fraction as a decimal.
60. ½ _____________________ 61. 2/3 __________
55. 340 _______
Write each decimal as a fraction or mixed number in simplest form.
62. 2.05 _________________ 63. 0.67 ___________________
Add or subtract. Reduce to lowest terms.
64. 2 - 2/3= _____________
65. 32/5 + 12/4 = __________________
Find each product or quotient.
66. 150/250
67. (.04)(3000)
Complete each statement.
68. 14 lb = ______ ounces
69. 3.5 qt = ______ pt
Solve each equation.
70. 5x+2=-13
71. 8w - 3 = 2w + 5
Solve each proportion. Round to the nearest tenth where necessary.
72. 3 = x
25 10
73. 30 = 4
27
x
Suppose you have a bag containing 6 red, 5 blue, 4 white, and 3 black marbles. One marble is selected
at random. Find the probability of choosing each of the following.
74. P(white or black)
75. P(not blue)
Complete each statement. Round to the nearest tenth where necessary.
76. 7.56 mi = ______ ft.
77. 2500 mL = ________ liters
78. 240 cm = _________ meters
Write a proportion or equation and then solve. Where necessary, round to the nearest tenth or tenth of a
percent.
79. What is 56% of 320?
80. 84 is what percent of 756?