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PreAlgebra Semester 1 Exam C.3-4 Review Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. ____ 1. Which pair of numbers, when included with 6, 8, 10, 14, and 18, will raise the value of BOTH the mean and median? a. 14 and 15 b. 1 and 10 c. 7 and 15 d. 8 and 14 Choose a reasonable estimate. ____ ____ ____ ____ ____ ____ 2. the height of a fire hydrant a. 70 mm b. 70 cm c. 70 m d. 70 km 3. the mass of a baby a. 7 kg c. 7 L d. 7 kL 4. Which statement is NOT true? a. 3.6 kg = 3,600 g b. 300 mL < 2 L c. 1.5 g > 50 mg d. 3.7 cm > 45 mm 5. Which number is divisible by 5? a. 90 b. 124 c. 71 d. 143 6. Which number is divisible by 3? a. 112 b. 95 c. 132 d. 61 c. d. 7. Which fraction is equivalent to a. ____ b. 7 g ? b. 8. Which fraction is not equivalent to ? a. b. Short Answer Write using exponents. 9. (–4)(–4) 10. (x)(x)(y)(y)(y)(y)(y)(y) Simplify. 11. 12. 13. 14. 15. Evaluate. 16. c. d. all of these 17. State whether the number is prime, composite, or neither. 18. 17 Find the GCF. 19. 32 and 44 20. 40x4 and 36x5 21. Write in simplest form. Graph on a number line. 22. 2 5 8 23. –0.7 Evaluate. Write in simplest form. 24. 25. for x = 4, y = 64, and z = 3 Simplify the expression. 26. 27. Write the expression without the fraction bar. 28. 29. Write 241,000,000 in scientific notation. 30. Write 0.0000000499 in scientific notation. 31. Write 32. Write 33. Multiply in standard notation. in standard notation. . Express the result in scientific notation. 34. Identify the underlined place in 57.215. Then round the number to that place. 35. Round 8.556 to the underlined place. 36. Estimate by rounding before you add or subtract. 37. Estimate using clustering. 38. A city has an average yearly temperature of 67.65 . The average yearly temperature in another city is 46.68 . Use rounding to estimate the difference in average yearly temperature between the two cities. 39. You want to buy 8 CDs for $15.19 each. Estimate the total cost. 40. Estimate using compatible numbers. 41. The number of patients treated at Dr. McCormick’s dentist office each day was recorded for nine days. These are the data: 12, 6, 20, 20, 11, 6, 8, 9, 6. Find the mean, median, and mode of the data. If necessary, round to the nearest tenth. How many modes, if any, does the group of data have? 42. 66, 51, 84, 56, 66, 49, 56, 50 43. Find the outlier in the data: 15, 0, 17, 21, 21, 12, 19, 14. How does the outlier affect the mean? 44. Which measure of central tendency best describes this situation: the ages of students in an eighth-grade class? Explain. 45. The table shows golf scores for each player in an amateur golf tournament. What is the mean golf score for Rob, Jo Ann, Hector, and Ed for games 1 and 2? Player Rob Jo Ann Ed Hector Game 1 106 90 102 96 46. Use the formula 47. The formula Game 2 92 104 97 107 Game 3 94 96 89 103 Game 4 87 88 101 101 . Find t for r = 35.7 m/h and d = 328.44 m. estimates the temperature F in degrees Fahrenheit when crickets chirp n times per minute. Use the formula to estimate the temperature when n = 137 chirps/min. Round to the nearest whole number, if necessary. 48. Use the formula Solve the equation. 49. 50. 51. 52. . Find the perimeter of a rectangle with a length of 7.3 ft and a width of 18.5 ft. 53. 54. Write an equation for the sentence “A number n divided by 4.4 equals 20.6.” Solve for the variable. 55. Choose an appropriate metric unit for the height of a giraffe. Complete the statement. 56. 302.2 g = mg 57. 0.946 L = kL Solve by simplifying the problem. 58. There are 12 students in Mr. Alvarez’s art class. Throughout the year, every student must pair up with every other student to complete a project. How many projects will be finished? 59. Five people are at a party. Everyone shakes hands once with everyone else. How many handshakes are there? Show your work. 60. Find the missing digit to make 23,78_ divisible by 9. Other 61. Explain whether it is easier to estimate the product rounding each factor to the nearest whole number. by using compatible numbers or by 62. Explain why a teacher might use the median instead of the mean as the measure of central tendency for a set of grades on a particular test. Give a specific example. 63. Is 3761 divisible by 9? How do you know? Essay 64. Summarize the order of operations for evaluating expressions. PreAlgebra Semester 1 Exam C.3-4 Review Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. A B A D A C A C SHORT ANSWER 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 640 24 531,441 4 23 29 prime 4 4x4 5 21. 11 22. –5 –4 –3 –2 –1 0 1 2 3 4 5 –5 –4 –3 –2 –1 0 1 2 3 4 5 23. 24. 1 25. 20 26. 27. 28. 29. 30. 31. 83,200 32. 0.0000000889 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. tenths; 57.2 8.6 about 16 about 108 about 21 about $120 about 3 10.9, 9, 6 3 modes 0; lowers it by 2.1. Mean; there likely are no outliers. 99 9.2 h 71 51.6 ft 12 25.26 –9.19 –2 –16.45 ; 20.6 meter 302,200 0.000946 66 projects Pairs of numbers represent a handshake between the two people. 1-2, 1-3, 1-4, 1-5 2-3, 2-4, 2-5 3-4, 3-5 4-5 There are 10 handshakes in all. 60. 7 OTHER 61. Answers will vary. Sample: It is easier to use compatible numbers. Rounding each factor to the nearest whole number results in the expression , which is simpler than the original expression, but still difficult to compute mentally. Changing the factors to compatible numbers might produce , which is the easiest of the three expressions to compute. 62. Answers may vary. Sample: If there is a large range of scores or a few outliers, the median may be a better measure of the class score than the mean. For example, for the scores 90, 85, 88, 75, 15, 92, and 87, the mean is 76 and the median is 87. The outlier, 15, made the mean lower than most of the grades. The median is a more accurate measure of the class score. 63. No; the sum of the digits is not divisible by 9. ESSAY 64. [4] [3] [2] [1] Answers may vary. Sample: 1. Work inside grouping symbols. 2. Simplify any terms with exponents. 3. Multiply and divide in order from left to right. 4. Add and subtract in order from left to right. missing one operation one error in the order two errors in the order