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MTH 020 PRE-ALGEBRA PRACTICE FINAL EXAM Revised 09/2013 3.2 18.752 1. Divide: 2. Round 9,767 to the nearest thousand. 3. Write “sixty thousand, two hundred one” using digits. 4. Give the exponential form for: 5. Write the prime factorization of 48. 6. Find N , where: 7. Simplify: 7 3 2 4 (23) 8. Reduce completely: 9. Which is the larger fraction, 10. 1 1 3 4 11. 9 12. 7 4 8 5 6 6 6 6 7 7. 5 N 16 48 56 72 4 5 or ? 7 8 1 1 2 2 4 13. Convert 2 meters to inches, if 1 meter = 3.28 feet. (Approximate your answer to hundredths place.) 14. Convert 12 decimeters to millimeters. 15. 7 16. 8.4 0.09 17. (0.2) (8) (8.2) = 18. 96.6 0.3 19. Write 3 7 5 = 4 8 5 as a decimal. 8 20. 16 0 21. Simplify: 22. Write 4.8 as a mixed number in reduced form. 23. Write 24. Write 45% in simplest fraction form. 25. Write 6.5% in decimal form. 26. Find the cost of 5 27. A baseball player gets 8 hits in the first 18 games of the season. If he continues at the same rate, how many hits will he get in 45 games? 28. A manufacturer knows that, during an average production run, out of every 100 parts produced by a certain machine, 6 will be defective. If the machine produces 750 parts, how many can be expected to be defective? 29. 20 is what percent of 50? 30. The cost of apples has gone from $0.59 per pound to $0.89 per pound. What percent has the price increased? Round your answer to the nearest whole percent. 31. Which is less, 5% of 4.8 or 0.3% of 60? 32. 12 – (–4) = 33. 8 34. (6 2)2 (4 2) 2 = 35. 9 + (–9) = (–9) +9 illustrates what number property? 36. Find the area of a square with sides of 2 37. 64 in. = _____ ft. 38. Find the perimeter of a rectangle with length 36 ft. and width 24 ft. 39. Find: 40. Add the following: 648 + 327 + 9476 + 8097 41. Subtract the following: 4,256 – 3,792 2 25 5 36 9 1 as a percent. 8 3 pounds of fresh fish at $4.99 per pound. 4 = 1 inches. 2 81 42. Find the least common multiple of: 4, 8, 12, and 20 43. Subtract: 44. Find the place value of the digit 2 in the number: 7,827,564 45. Add: 9.6 + 25.408 + 729.314 46. Find 48% of 900. 47. 31 is 16% of what number? 48. 850 is what percent of 3400? 49. Convert 2.6 kilograms to milligrams. 50. Solve: 3.07 + x = 5.02 51. Solve the equation: 52. Find the value of 53. Find the circumference of a circle whose radius is 8.5 meters. 54. Find the cost per ounce of an 8 ounce box of cereal which sells for $1.44. 55. Write 3 56. Write 57. Write the following using digits: 9 1 10 3 3 7 x 5 8 3x 2 y given the following: x 4 , y 2 . 3 3 as an improper fraction. 8 35 as a mixed number. 6 three million, forty-seven thousand, twenty-two 5 9 7 5 15 12 58. Add: 59. 5 1 3 7 8 5 2 8 60. (0.005)(0.0063) = 61. Subtract: 12, 000 608 62. Combine like terms: 3x + 2 + 8x – 9 63. Solve the equation: –5.1 = 3x + 2.4 64. A “30% off sale” begins today at Cindy’s Closet. What is the sale price of a woman’s wool coat priced at $260? 65. Find the perimeter and the area of the rectangle below. 3.7 ft. 12 ft. 66. A fence is to be built around a 200 meter by 35 meter field. What is the perimeter of the field? The fence wire will cost $1.80 per meter. What will the entire fence cost? 67. Write the following in words: 470,720 68. 3 1 4 2 69. 3 5 8 12 70. 21 7 4 8 71. Simplify: 5x – 8 + 3(2x – 5) 72. Simplify: 5(2x + 3y) + 2(x + y) 73. The distance between 2 cities is 1911 km. Convert this to miles using the fact that 1 km = 0.62 miles. Round your answer to the nearest whole mile. 74. Round 0.3460 to the nearest thousandth. 75. The price of a textbook is $126.50. The sales tax rate is 8%. a. What is the amount of the tax? b. What is the total price? 76. Write this sentence as a proportion: 6 is to 7 as 42 is to 49 77. Find the area of a triangle if the base is 2.3 inches and the height is 5 inches. Answers: 1. 5.86 27. 20 hits 2. 10,000 28. 45 parts 3. 60,201 29. 40% 4. 64 7 2 30. 51% 5. 24 3 31. 0.3% of 60 32. 16 33. 64 34. 35. 6. 15 7. –10 8. 7 9 9. 5 8 55. 27 8 56. 5 57. 3,047,022 58. 18 4 59. 23 16 Commutative 60. 0.0000315 property 61. 11,392 62. 11x – 7 1 sq. in. 4 5 6 1 45 36. 6 63. x = –2.5 37. 1 5 3 64. $182 38. 120 ft. 65. perimeter is 31.4 ft. area is 44.4 sq. ft. 66. perimeter is 470 m cost of fence is $846 67. four hundred seventy 10. 1 12 11. 3 21 8 12. 67 40 39. 9 40. 18,548 13. 78.72 41. 464 14. 1200 millimeters 42. 120 15. 7 1 8 43. 17 30 16. 8.31 44. ten thousands 17. 13.12 45. 764.322 18. 322 46. 19. 0.625 20. thousand, seven hundred twenty 68. 5 4 432 69. 47. 193.75 70. 6 undefined 48. 25% 71. 11x – 23 21. 5 4 49. 2,600,000 mg 72. 12x + 17y 50. x = 1.95 73. 1185 miles 22. 4 4 5 51. x= 11 40 74. 0.346 23. 12.5% 75. 52. $10.12 $136.62 24. 9 20 16 3 53. 53.38 meters 76. 6 42 7 49 54. $0.18 77. 5.75 square inches 25. 0.065 26. $28.69 19 24