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.
1 4. A bh 2 4 in.
12 in. Pre Algebra Page 2 Final exam review sheet
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.
3 15. Shade in 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 Page 3 Final exam review sheet
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 2 335 24. 2 2 355 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)鬃 ( 10) - 6 ( 3)
80 37. 84 (6) 38. 5
39. 7x 1 2x 40. 8x 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缸 3 2
47. 7- 2( 6 - 1) 48. 3+ 10 2 Pre Algebra Page 4 Final exam review sheet
189z 224a3 b 4 c 2 49. 50. 216z 16ab4 c 2
270x4 y 3 z 3 51. 15x3 y 3 z 4
Multiply.
1 5 52. 2 53. 7 5 6
7 7 1 5 5 4 54. 55. 8 8 2 8 12 25
Write the fraction in its lowest terms.
55 23 56. 57. 190 69
Write the following as a fraction in lowest terms.
58. 0.40 59. 8.75%
3 60. 22 % 8
Simplify.
61. 121 62. 196
1 9 63. 64. 64 144
256 65. 625 Pre Algebra Page 5 Final exam review sheet
Solve.
7 66. A restaurant has a capacity of 32 patrons. If the restaurant is full, how many patrons are at the 8 restaurant?
2 1 67. A recipe calls for cup of milk. How much milk should be used to make of the recipe? 3 4 68. Find the quotient of 6 and -2 .
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 g 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 4 6 78. 79. 4 7 9 5
Add and, if possible, simplify.
2 1 13 8 5 80. 81. 5 15 14 21 7
2 5 2 82. 3 6 9 Pre Algebra Page 6 Final exam review sheet
Use < or > to write a true sentence.
1 5 11 46 83. 84. 12 6 8 40
85. -17 - 4 86. 12- 20
Solve.
5 13 4 6 87. y 88. m 6 14 5 7
89. 3r 2 29 90. 20 5x 10
3 2 91. x 18 92. 6 x 4 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.
11 15 101. 102. 16 40
Estimate by rounding as directed.
103. 15.9745 + 74.5890; nearest tenth 104. 32.432 – 14.18; nearest tenth Pre Algebra Page 7 Final exam review sheet
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 Page 8 Final exam review sheet
Write the decimal as a fraction in lowest terms.
115. -39.08 116. 0.0108
Simplify.
117. 8 2 2 32 118. 7(42 ) 4
6(3) 2(3) 32 (7 2) 3 119. 120. 24 28 22 (6)(2) 12
5 1 3 5 121. 14 13 122. 7 5 8 4 4 6
1 5 5 3 123. 34 12 124. 23 16 3 8 16 4
1 2 7 3 125. 3 4 126. 4 5 2 3 10 10
3 4 1 127. 20 2 128. 5 2 5 5 2
129. 5x 710 130. 4x 2 7
Solve.
131. 5x 2 3x 18 132. 2a 18 12a 1
Find the LCD.
2 4 2 1 7 7 133. , , 134. , , 3 5 7 6 x 18
8- 15 -17 61 135. , 136. , 19 76 132 165
Evaluate.
137. a b a2 for a = 6 and b = 4. 138. x y2 y for x = 2 and y = 3
139. -x for x = - 95 140. -( -( -x)) for x = 27 Pre Algebra Page 9 Final exam review sheet
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) 151. 8鬃( 3 4) = ( 8 鬃 3) 4
152. 14+( x + 3) =( x + 3) + 14 Pre Algebra Page 10 Final exam review sheet
Pre Algebra Final Review Solutions 1. 1469 yards 20. 5
2. 376 miles 21. 8.5
3. 70 cm2 22. 12
4. 24 in2 23. 23 32 5
5. Eight million, three hundred fifty four 24. 22 352 7
thousand, one hundred twenty five 25. 2 5 7
6. 58,000,732.16 2 26. 2 3 7 7. Hundred thousand 27. 22 8. Tens 28. 33 9. 636,330 29. 98 10. 500 30. 78 11. 4512 540 months 31. 6 12. 56 22 1232 miles 32. –8 13. 273 7 33. 33 14. 297 9 34. 7
35. –75 15. 36. –12,600 15 16. 37 37. 14
17 38. –16 17. 37 39. 5x 7 18. 5 40. 11x 25 5 19. 37 41. – r + 8 Pre Algebra Page 11 Final exam review sheet
42. 3b 1 63 8 43. – x – 7 1 44 -56 64 4 45 -5 16 65 46 -28 25
47 -3 66 28 patrons
1 48 23 67 cup 6 7 49 8 68 -3
50 14a2 69 -48
18x 70 10.75 feet 51 z 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
2 7 58 78 5 8
7 10 59 79 80 27
179 1 60 80 800 3
61 11 53 81 62 14 42 Pre Algebra Page 12 Final exam review sheet
23 104 18.2 82 18 105 6.8, 6.95, 6.9 83 < 106 87.50, 88.5, None 84 < 107 73, 71, 70 & 71 85 > 108 63.29 miles 86 < 109 $10.92 2 87 y 110 704,846 21 111 11.6% 58 88 m 35 112 $858.93
89 r 9 113 $365
90 x 6 114 $25,000
91 x 24 977 115 25 92 x 45 27 93 95.8 beats/min. 116 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 7 121 27 99 6650 8
7 100 177 122 13 12 101 0.6875 17 123 21 102 0.375 24 103 90.6 Pre Algebra Page 13 Final exam review sheet
9 124 6 16 145 Percent 83.3%
1 146 Decimal .5 125 16 3 147 Percent 50% 91 126 24 28 14 4 100 148 Fraction = or 2 10 5 5 9 127 7 149 Percent 280% 13 150 Commutative 8 128 2 25 151 Associative
129 5x 45 152 Commutative 130 4x 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 7 142 Fraction = 1000 8 143 Decimal .875
144 Decimal 0.83