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
Find the place value of the 2 in the following numbers.
5. 269,571 6. 793,801,524
Round as indicated.
7. 636,331 to the nearest ten. 8. 504 to the nearest hundred.
Write a multiplication sentence that corresponds to the situation.
9. How many months are there in 45 years?
10. 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.
11. 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?
12. 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?
Simplify.
13. (30) (5) 3(4) 8(2) 14. 7(5) 2(4) (42) (7)
Find the absolute value.
15. 98 16. 78
Add.
17. -91 + 97 18. -2 + (-6)
Subtract.
19. 24 - (-9) 20. -11 – (-18)
Multiply.
21. (-5)(-5)(-3) 22. 7�� ( 10)鬃 ( 10) - 6 ( 3) Pre Algebra Page 3 Final exam review sheet
Divide.
80 23. 84 (6) 24. 5
Simplify.
25. 7x 1 2x 26. 8x 2 9 3x
Write the following in exponential form.
27. 2 2 2 335 28. 2 2 355 7
Find the prime factorization of the number.
29. 70 30. 126
Multiply.
1 5 31. 2 32. 7 5 6
7 7 1 5 5 4 33. 34. 8 8 2 8 12 25
Write the fraction in its lowest terms.
55 23 35. 36. 190 69
Solve.
7 37. A restaurant has a capacity of 32 patrons. If the restaurant is full, how many patrons are at the 8 restaurant? 2 1 38. A recipe calls for cup of milk. How much milk should be used to make of the recipe? 3 4
Divide and simplify. 3 6 4 6 39. 40. 4 7 9 5 Pre Algebra Page 4 Final exam review sheet
Add and, if possible, simplify.
2 1 13 8 5 41. 42. 5 15 14 21 7
2 5 2 43. 3 6 9
Use < or > to write a true sentence.
1 5 11 46 44. 45. 12 6 8 40
Solve.
5 13 4 6 46. y 47. m 6 14 5 7
48. 3r 2 29 49. 20 5x 10
50. While walking Joe’s heart beats 4790 times in 50 minutes. What is the rate in beats per minute?
51. Two packets of pudding contain 13 servings. What is the rate in servings per packet?
Round the number as requested.
52. Round to the nearest tenth: 1.23 53. Round to the nearest hundredth: 1.274
Combine like terms.
54. 10.2b 25.8b 55. 8.6a 8.3b 1.3a 3.5b
Evaluate.
56. P + Prt, for P = 5000, r = 0.06 and t = 5.5 57. 2na+.5n(n-1)d for n = 6, a = 3.5 and d = 9
Write the fraction in decimal notation.
11 15 58. 59. 16 40
Estimate by rounding as directed.
60. 15.9745 + 74.5890; nearest tenth 61. 32.432 – 14.18; nearest tenth Pre Algebra Page 5 Final exam review sheet
Solve.
62. 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?
63. 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?
Find the unit price.
1 64. A 1 lb.package of seedless grapes costs $2.12. Find the price per pound. 2
65. Using the unit price, determine which size is the best buy.
12 oz. for $4.26 20 oz. for $6.26 28 oz. for $8.04 32 oz. for $9.47
Plot the points given by the pairs.
66. A(2,1), B(-1,1)
Pre Algebra Page 6 Final exam review sheet
Plot the points given by the pairs
67. A(6, -5), B(-1, 5)
Graph the equation.
68. 4x y 4
Complete the ordered pairs for the equation.
69. y x 16 (8, ) (16, ) (0, )
Determine the quadrant in which the following points would be found.
70. (4, -2) 71. (-7, -5) Pre Algebra Page 7 Final exam review sheet
Solve.
3 2 72. x 18 73. 6 x 4 4 9
Simplify.
74. 8 2 2 32 75. 7(42 ) 4
Write the decimal as a fraction in lowest terms.
76. -39.08 77. 0.0108
Simplify.
6(3) 2(3) 32 (7 2) 3 78. 79. 24 28 22 (6)(2) 12
5 1 3 5 80. 14 13 81. 7 5 8 4 4 6
1 5 5 3 82. 34 12 83. 23 16 3 8 16 4
1 2 7 3 84. 3 4 85. 4 5 2 3 10 10
3 4 1 86. 20 2 87. 5 2 5 5 2
88. 5x 710 89. 4x 2 7
Solve.
90. 5x 2 3x 18 91. 2a 18 12a 1
Find the least common denominator.
2 4 2 1 7 7 92. , , 93. , , 3 5 7 6 x 18
Evaluate.
94. a b a2 for a = 6 and b = 4. 95. x y2 y for x = 2 and y = 3 Pre Algebra Page 8 Final exam review sheet
96. Find the rate, or speed, as a ratio of distance to time. 341.25 m, 1.75 hr
97 – 100 (each line) Fill in the missing values.
Fraction notation Decimal notation Percent notation
87.5%
5 6
1 2
2.8
Pre Algebra Page 9 Final exam review sheet Pre Algebra Final Review 24. –16
Solutions 25. 1. 1469 yards 5x 7
26. 2. 376 miles 11x 25
27. 3 2 3. 70 cm2 2 3 5
4. 24 in2 28. 22 352 7
5. Hundred thousand 29. 2 5 7
6. Tens 30. 2 32 7
7. 636,330 31. 2/5
8. 500 32. -35/6
9. 4512 540 months 33. 49/128
10. 56 22 1232 miles 34. 1/24
11. 273 7 35. 11/38
12. 297 9 36. 1/3
13. 22 37. 28 patrons
14. 33 1 38. cup 6 15. 98 7 16. 78 39. 8 17. 6 40. 10 18. –8 27
19. 33 1 41. 3 20. 7
42. 53 21. –75 42 22. –12,600 43. 23 23. 14 18 Pre Algebra Page 10 Final exam review sheet
44. < 66.
45. <
2 46. y 21
58 47. m 35
48. r 9
49. x 6
50. 95.8 beats/min. B
67. 51. 6.5 servings/packet
52. 1.2
53. 1.27
54. 15.6b A 55. 7.3a 4.8b
56. 6650
57. 177 68. 58. 0.6875
59. 0.375
60. 90.6
61. 18.2
62. 63.29 miles
63. $10.92
64. 1.41 per lb.
65. 28 oz. B A
Pre Algebra Page 11 Final exam review sheet
9 86. 7 69. (8, 8) (16, 0) (0, 16) 13 8 70. IV 87. 2 25 71. III 88. 5x 45 72. x 24 89. 4x 15 73. x 45 90. x 4 74. –1 91. a 3 75. –28 92. 105 977 76. 25 93. 18x
27 94. 10 77. 2500 95. 22
78. 6 96. 195 m/hr
79. 5 875 7 97. Fraction = 7 1000 8 80. 27 Decimal .875 8 98. Decimal 0.83 7 81. 13 Percent 83.3% 12 .5 17 99. Decimal 82. 21 Percent 50% 24 28 14 4 9 100. Fraction = or 2 83. 6 10 5 5 16 Percent 280% 1 84. 16 3
91 85. 24 100 Pre Algebra Page 12 Final exam review sheet