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Pre-Algebra Chapter 3—Decimals and Equations

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Pre-Algebra Chapter 3—Decimals and Equations Pre-Algebra Chapter 3—Decimals and Equations SOME NUMBERED QUESTIONS HAVE BEEN INTENTIONALLY DELETED OR REMOVED. YOU WILL NOT BE USING A CALCULATOR FOR PART I MULTIPLE-CHOICE QUESTIONS, AND THEREFORE YOU SHOULD NOT USE ONE FOR THE REVIEW PACKETS. MULTIPLE CHOICE 1. Identify the underlined place in 83.5851. Then round the number to that place. A. thousandths; 83.58 C. hundredths; 83.58 B. hundredths; 83.59 D. thousandths; 83.59 ANS: 2. Round 18.79 to the underlined place. A. 18 B. 17 C. 20 D. 19 ANS: 3. The table shows the ingredients used in a medicine. If all the decimals were rounded to the nearest whole percent, would this table be helpful in comparing the amount of each ingredient? Explain. Ingredient Percent Substance A 19.6% Substance B 19.9% Substance C 19.5% Substance D 14.5% A. Yes; substance B would still be the largest part of the medicine. B. No; three of the percentages would round to 19%. C. No; three of the percentages would round to 20%. D. No; two of the percentages would round to 20%. ANS: 5. Estimate $5.56 + $13.02 using front-end estimation. A. about $19.60 B. about $18.60 C. about $20.10 D. about $17.10 ANS: 6. Estimate 36.61 using clustering. A. about 100 B. about 108 C. about 112 D. about 117 ANS: 8. James received a box of supplies in his craft class, as shown in the table. Estimate the total mass of the supplies by rounding to the nearest unit. Item Mass (g) Scissors 78.1 Markers 21.3 Tape Measure 32.6 Paper 56.6 A. about 187 g B. about 188 g C. about 189 g D. about 193 g ANS: 9. A city has an average yearly temperature of 49.47 . The average yearly temperature in another city is 30.27 . Use rounding to estimate the difference in average yearly temperature between the two cities. A. about 17 B. about 22 C. about 21 D. about 19 ANS: 11. You want to buy 6 CDs for $14.89 each. Estimate the total cost. A. about $84 B. about $83 C. about $90 D. about $96 ANS: 15. Determine two compatible numbers to use to estimate the quotient 5,071 62. A. 4,800 and 60 B. 4,900 and 70 C. 5,000 and 60 D. 5,100 and 60 ANS: 16. You earned $96.15. You would like to buy some new T-shirts. Estimate the number of T-shirts you can buy if each one costs $13.75. ANS: A. 9 T-shirts B. 8 T-shirts C. 7 T-shirts D. 6 T-shirts 17. Find the mean, median, and mode of this data: 49, 57, 49, 57, 49, 51, 54. If necessary, round to the nearest tenth. A. 51, 51.3, 49 B. 52.3, 51, 49 C. 52.3, 52, 49 D. 51.3, 51, 49 ANS: 21. For which set of data is the mean 8.1? A. 6.6, 7.5, 8.1, 9.2, 9.8 C. 4.2, 6.7, 8.1, 5.5, 9.1 B. 8.1, 8.1, 8.7, 8.8, 9.9 D. 8.5, 8.0, 8.0, 9.0, 7.0 ANS: 22. For which set of data is the median 15? A. 89, 75, 90, 15, 74, 88, 89 C. 14, 15, 15, 15, 18, 18, 19, 19, 20 B. 23, 35, 77, 81, 64, 15, 44 D. 8, 20, 17, 21, 14, 15, 9 ANS: 23. For which set of data is the mode 3? A. 6, 2, 7, 6, 6, 6, 3, 1, 3, 9, 3 C. 3, 12, 8, 5, 1, 4, 11, 13, 11, 2 B. 5, 7, 3, 8, 4, 3, 5, 6, 1, 3, 6 D. 0, 1, 1, 2, 2, 3, 6, 8, 8, 9, 9 ANS: 24. 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 ANS: 25. A teacher allows her students to decide whether to use the mean, median, or mode to determine their test averages. One student determined that he will receive the highest average if he uses the mean. Which test scores are his? A. 92, 83, 76, 76, 93 C. 81, 85, 70, 72, 85 B. 81, 85, 73, 82, 76 D. 72, 83, 95, 70, 85 ANS: 26. Which set of data has a mean of 6 and a mode of 5? ANS: A. 5, 12, 1, 5, 7 B. 3, 8, 5, 9, 10 C. 2, 11, 5, 9, 3 D. 10, 7, 5, 8, 5 27. The table shows the number of tractors per 1,000 people in selected countries. Find the mean, median, and mode of the data. Country Number Ireland 47 Norway 41 Denmark 40 Canada 35 France 30 Sweden 27 Germany 27 Japan 25 Italy 23 United States 22 Spain 18 Switzerland 17 United Kingdom 10 A. 27.8, 26, 27 B. 27.8, 27, 27 C. 30.2, 27, 27 D. 25.9, 26.5, 27 ANS: 28. What is the best measure of central tendency for the data? What answer do you get using this measure? Jessica Jennifer Janice Janine Jessica Jolene Jana A. mode; Jessica C. mean; Jessica B. median; Jana D. mode; Janice ANS: 29. Find the outlier in the data: 32, 40, 34, 31, 20, 36, 40, 31. How does the outlier affect the mean? A. 45; raises it by 1.7. C. 45; lowers it by 1.7. B. 20; lowers it by 1.9. D. 20; raises it by 1.9. ANS: 30. Which measure of central tendency best describes this situation: the favorite fruit sold in the cafeteria? Explain. A. Median; there likely are no outliers. C. Median; there likely are outliers. B. Mean; there likely are no outliers. D. Mode; the data are not numerical. ANS: 31. 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 2 and 4? Player Game 1 Game 2 Game 3 Game 4 Rob 94 105 106 106 Jo Ann 95 94 101 92 Ed 107 100 100 101 Hector 106 96 100 97 ANS: A. 99 B. 101 C. 100 D. 98 32. The spreadsheet shows the length of 3 movies in each of 3 categories. Choose the formula that could be used in cell B2. A B C D E Type of Movie 1 Movie 2 Movie 3 1 Mean Length Movie (min. long) (min. long) (min. long) 2 Animated 72 63 84 73 3 Drama 92 104 113 103 4 Action 119 84 109 104 A. 3 * E2 - (B2 + D2) C. 3 * E3 - (C3 + D3) B. 3 * E2 - (C2 + D2) D. (B3 + C3 + D3)/3 ANS: 33. Use the formula d= rt. Find t for r = 46.6 m/h and d = 456.68 m. A. 9.8 h B. 0.1 h C. 410.08 h D. 21,281 h ANS: 34. The formula F = n/4 + 37 estimates the temperature F in degrees Fahrenheit when crickets chirp n times per minute. Use the formula to estimate the temperature when n = 75 chirps/min. Round to the nearest whole number, if necessary. A. 58 B. 53 C. 52 D. 56 ANS: 35. Find the perimeter of a rectangle with a length of 12.9 ft and a width of 19.3 ft. A. 64.4 ft B. 68.4 ft C. 66.7 ft D. 61.7 ft ANS: 36. The Jones’ framed a family picture to hang on the wall. The perimeter of the frame is 72 inches. Find the length of the frame if the width is 14 inches. A. 25 in. B. 23 in. C. 22 in. D. 21 in. ANS: 37. Find the volume of a sphere with a radius of 5 cm. Use 3.14 for . Round to the nearest hundredth. A. 294.38 cm3 B. 523.33 cm3 C. 500 cm3 D. 104.67 cm3 ANS: Solve the equation. 38. n + 6.3 = 16.3 A. 22.6 B. 10 C. –10 D. –22.6 ANS: 39. 33 = p – 6.71 A. –39.71 B. –26.29 C. 39.71 D. 26.29 ANS: 40. 2.5 = d – (-20) A. 22.5 B. –17.5 C. 17.5 D. –22.5 ANS: 42. 5d = 17.5 A. 22.1 B. 12.1 C. 85.5 D. 3.42 ANS: 43. It cost Neil $2.88 to make 2 dozen muffins. He sold the muffins for $.80 each. If Neil sold 6 dozen muffins, how much profit did he make from the sale? A. $40.32 B. $48.96 C. $24.48 D. $57.60 44. Beginning at 6:50 A.M., planes leave an airport for New York every 45 minutes. You arrive at the airport at 10:15 A.M. How long will you have to wait for the next plane to New York? A. 15 minutes B. 20 minutes C. 25 minutes D. 30 minutes ANS: 45. The table shows the American League batting champions for the years 1999–2003. The sum of these five batting averages is 1.754. Write and solve an equation to determine the batting average x for Bill Mueller, the 2003 batting champion. American League Leading Hitters (1992–1988) Year Player Team Batting Average 1999 Nomar Garciaparra Boston .357 2000 Nomar Garciaparra Boston .372 2001 Ichiro Suzuki Seattle .350 2002 Manny Ramirez Boston .349 2003 Bill Mueller Boston x A.
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