PreAlgebra
Final Exam review worksheet
Find the perimeter.
1.
392 yards
156 yards
156 yards
238 yards
527 yards
2.
75 mi
51 mi
74 mi
46 mi
82 mi
48 mi
Find the area.
3. A = LW
7 cm.
10 cm.
4. A 
1
bh
2
4 in.
12 in.
Pre Algebra
Final exam review sheet
Page 2
Write in words.
5. 8,354,125
Write as a number.
6. Fifty-eight million, seven hundred thirty-two and sixteen hundredths
Find the place value of the 2 in the following numbers.
7. 269,571
8. 793,801,524
Round as indicated.
9. 636,331 to the nearest ten.
10. 504 to the nearest hundred.
Write a multiplication sentence that corresponds to the situation.
11. How many months are there in 45 years?
12. Julie can bike 56 miles a day. If she can vacation for 22 days, what is the maximum distance she
can cover?
Write division sentence that corresponds to the situation. Do not carry out the division.
13. A group of 7 people wants to buy a boat. The boat costs $273. If they all pay the same amount,
how much is each person’s share?
14. The city bridge has 9 lanes, all carrying equal number of cars. If 297 cars drive across the bridge,
how many cars cross in each lane?
Complete the following fractional representation problems.
15. Shade in
3
of the rectangle.
4
An art dealer is taking inventory. His shop contains a total of 37 pieces, which consist of sculptures,
watercolor paintings, and oil paintings. If there are 15 watercolor paintings and 17 oil paintings, answer
the following questions.
16. What fraction of the inventory are watercolor paintings?
17. What fraction of the inventory are oil paintings?
Pre Algebra
Final exam review sheet
Page 3
18. How many sculptures are there?
19. What fraction of the inventory are sculptures?
Use the Pythagorean Theorem to find the length of the side not given.
20. leg = 3, leg = 4
21. leg = 7.5, leg = 4
22. leg = 5, hypotenuse = 13
Write the following in exponential form.
23. 2  2  2  3  3  5
24. 2  2  3  5  5  7
Find the prime factorization of the number.
25. 70
26. 126
Simplify.
27. (30)  (5)  3(4)  8(2)
28. 7(5)  2(4)  (42)  (7)
29. 98
30.  78
31. -91 + 97
32. -2 + (-6)
33. 24 - (-9)
34. -11 – (-18)
35. (-5)(-5)(-3)
36. 7  (10)  (10)  6  (3)
37.  84  (6)
38.
39. 7x  1  2 x
40. 8x  2  9  3x
41. 3r – 5r + 8 + r
42. –(12b – 10) + 5(3b – 2)
43. 3x – 4(x + 2) + 1
44.  56
45. 2  7
46. 42  3  2
47. 7  2  6  1
48. 3  10  2
80
5
Pre Algebra
Final exam review sheet
49.
189 z
216 z
51.
270 x 4 y 3 z 3
15 x3 y 3 z 4
Page 4
224a3b 4c 2
16ab 4c 2
50.
Multiply.
52. 2 
54.
1
5
7 7 1
 
8 8 2
53. 
5
7
6
55.
5 5 4
 
8 12 25
57.
23
69
Write the fraction in its lowest terms.
56.
55
190
Write the following as a fraction in lowest terms.
58. 0.40
59. 8.75%
3
60. 22 %
8
Simplify.
61.
121
62.
196
63.
1
64
64.
9
144
65.
256
625
Pre Algebra
Final exam review sheet
Page 5
Solve.
66. A restaurant has a capacity of 32 patrons. If the restaurant is
7
full, how many patrons are at the
8
restaurant?
2
1
cup of milk. How much milk should be used to make
of the recipe?
3
4
68. Find the quotient of 6 and 2 .
67. A recipe calls for
69. Subtract 12 from 36 .
70. Convert 129 inches to feet. Write your answer as a decimal.
71. 1 yard 2 feet = _____ inches
72. 16 yard 2 feet
5 = ____ yds ____ ft
73. 0.2m = _____ mm
74. 9.6m ÷ 5 = _____ m
75. 30cm + 8.9m = _____ m or _____ cm
76. Convert 53mm to meters.
77. How many centimeters are in 0.2km?
Divide and simplify.
3 6
78. 
4 7
79.
4 6

9 5
81.
13
8 5


 14 21 7
Add and, if possible, simplify.
80.
2 1

5 15
82.
2 5 2
 
3 6
9
Pre Algebra
Final exam review sheet
Page 6
Use < or > to write a true sentence.
83.
85.
1
12
5
6
17
84. 
4
11
8

46
40
20
86. 12
Solve.
87. y 
5 13

6 14
89. 3r  2  29
91.
3
x  18
4
4 6

5 7
88. m 
90. 20  5x  10
92. 6 
2
x  4
9
93. While walking Joe’s heart beats 4790 times in 50 minutes. What is the rate in beats per minute?
94. Two packets of pudding contain 13 servings. What is the rate in servings per packet?
Round the number as requested.
95. Round to the nearest tenth: 1.23
96. Round to the nearest hundredth: 1.274
Combine like terms.
97.  10.2b  25.8b
98. 8.6a  8.3b  1.3a  3.5b
Evaluate.
99. P + Prt, for P = 5000, r = 0.06 and t = 5.5
100. 2na+.5n(n-1)d for n = 6, a = 3.5 and d = 9
Write the fraction in decimal notation.
101.
11
16
102.
15
40
Estimate by rounding as directed.
103. 15.9745 + 74.5890; nearest tenth
104. 32.432 – 14.18; nearest tenth
Pre Algebra
Final exam review sheet
Page 7
Mean, Median & Mode
105. During an experiment, the following times (in seconds) were recorded:
7.8, 6.9, 7.5, 4.7, 6.9, 7.0
Find the mean (to the nearest tenth), median, and mode.
106. In a mathematics class, the following test scores were recorded for a student:
93, 85, 89, 79, 88, 91
Find the mean (to the nearest hundredth), median, and mode.
107. The following pulse rates were recorded for a group of 15 students:
78, 80, 66, 68, 71, 64, 82, 71, 70, 65, 70, 75, 77, 86, 72
Find the mean, median, and mode.
Solve.
108. Mr. Lee wanted to keep track of how far he was driving today. He drove to Lodi which was 35.15
miles, then he drove to Merced which was 10.11 miles, then he drove home which was 18.03 miles.
How far did Mr. Lee drive?
109. Mrs. Hernandez prepared her grocery list at home. Her list contained the following items with
their sale prices: cheese - $3.97; crackers - $2.87; soda - $3.01; hamburger - $2.97; and gum - $0.97.
She bought all of the items at the store except the crackers. How much money did she spend?
110. The population of Nowhere, USA was estimated to be 668,100 in 2003, with an expected increase
of 5.5% year. At the rate of increase given, what is the expected population in 2004? Round your
answer to the nearest whole number.
111. Suppose that, in 2006, France produced 13.973 million bikes. The total world production that
year totaled 120 million bikes. What percent of the world’s production of bikes is contributed by
France? Round your answer to the nearest tenth of a percent.
112. The purchase price of a camcorder is $799. What is the total price if the sales tax rate is 7.5%?
113. The sales tax on the purchase of a TV-DVD combination is $32.85. If the tax rate is 9%, find the
purchase price of the TV-DVD.
114. A salesperson earned $1750 for selling fertilizer. If her commission rate is 7%, find the selling
price of the fertilizer.
Pre Algebra
Final exam review sheet
Page 8
Write the decimal as a fraction in lowest terms.
115. -39.08
116. 0.0108
Simplify.
117. 8  2  2  3 2
119.
6(3)  2(3)
24  28
118.  7(4 2 )  4
120.
3 2  (7  2)  3
2 2  (6)( 2)  12
5
1
121. 14  13
8
4
122. 7
1
5
123. 34  12
3
8
124. 23
 1  2 
125.  3  4 
 2  3 
126. 4
127. 20  2
3
5
3
5
5
4
6
5
3
 16
16
4
7
3
5
10 10
4
1
128. 5  2
5
2
129.  5x  7  10
130.  4x  2  7
Solve.
131. 5x  2  3x  18
132. 2a  18  12a  1
Find the LCD.
133.
2 4 2
, ,
3 5 7
134.
1 7 7
, ,
6 x 18
135.
8 15
,
19 76
136.
17 61
,
132 165
137. a  b  a  for a = 6 and b = 4.
138.
 x  y 2  y
139. x for x  95
140.      x   for x  27
Evaluate.
2
for x = 2 and y = 3
Pre Algebra
Final exam review sheet
Page 9
141. Find the rate, or speed, as a ratio of distance to time.
341.25 m, 1.75 hr
142 – 149 (each line) Fill in the missing values.
Fraction notation
Decimal notation
Percent notation
87.5%
5
6
1
2
2.8
Identify the property being illustrated.
150.
 12  15  15   12
152. 14   x  3   x  3  14
151.
8   3  4  8  3  4
Pre Algebra Final Review
Solutions
1. 1469 yards
21. 8.5
2. 376 miles
22. 12
3. 70 cm2
23. 2 3  3 2  5
4. 24 in2
24. 2 2  3  5 2  7
5. Eight million, three hundred fifty four
25. 2  5  7
thousand, one hundred twenty five
26. 2  3 2  7
6. 58,000,732.16
7. Hundred thousand
8. Tens
9. 636,330
10. 500
11. 45 12  540 months
12. 56  22  1232 miles
27. 22
28. 33
29. 98
30. 78
31. 6
32. –8
33. 33
13. 273  7
34. 7
14. 297  9
35. –75
36. –12,600
15.
16.
15
37
17.
17
37
37. 14
38. –16
39. 5x  7
40. 11x  25
18. 5
41. – r + 8
5
19.
37
42. 3b
20. 5
43. – x – 7
Pre Algebra
Final exam review sheet
44 -56
Page 11
64
1
4
65
16
25
45 -5
46 -28
47 -3
66 28 patrons
48 23
67
49
7
8
50 14a 2
51
18x
z
1
cup
6
68 -3
69 -48
70 10.75 feet
71 60 inches
52 2/5
72 83 yards 1 foot
53 -35/6
73 200 millimeters
54 49/128
74 1.92 meters
55 1/24
75 9.20 meters / 920 centimeters
56 11/38
76 0.053 meters
57 1/3
77 20,000 centimeters
58
59
60
2
5
78
7
8
7
80
79
10
27
179
800
80 
1
3
81 
53
42
61 11
62 14
63
1
8
82
23
18
Pre Algebra
Final exam review sheet
Page 12
83 <
106 87.50, 88.5, None
84 <
107 73, 71, 70 & 71
85 >
108 63.29 miles
86 <
109 $10.92
87 y 
2
21
88 m 
58
35
110 704,846
111 11.6%
112 $858.93
89 r  9
113 $365
90 x  6
114 $25,000
91 x  24
115 
92 x  45
116
93 95.8 beats/min.
977
25
27
2500
94 6.5 servings/packet
117 –1
95 1.2
118 –28
96 1.27
119 6
97 15.6b
120 5
98 7.3a  4.8b
121 27
7
8
99 6650
100
177
101 0.6875
122 13
123 21
102 0.375
103 90.6
124 6
17
24
9
16
104 18.2
105 6.8, 6.95, 6.9
7
12
125 16
1
3
Pre Algebra
Final exam review sheet
126 24
91
100
127 7
9
13
128 2
8
25
148 Fraction
28 14
4

or 2
10 5
5
149 Percent
280%
150 Commutative
151 Associative
129  5x  45
152 Commutative
130  4 x  15
131 x  4
132 a  3
133 105
134 18x
135 76
136 660
137 10
138 22
139 95
140 -27
141 195 m/hr
875 7

1000 8
143 Decimal .875
142 Fraction
144 Decimal 0.83
145 Percent
Page 13
83.3%
146 Decimal .5
147 Percent 50%