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 2. Round 18.79 to the underlined place. A. 18 B. 17 C. 20 D. 19 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%. 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 6. Estimate 36.61 using clustering. A. about 100 B. about 108 C. about 112 D. about 117 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 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 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 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 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. 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
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 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 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 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 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 26. Which set of data has a mean of 6 and a mode of 5? 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 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 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. 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.
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 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 1 Type of Movie 1 Movie 2 Movie 3 Movie (min. long) (min. long) (min. long) Mean Length 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 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 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 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 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. 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 cm 3 B. 523.33 cm 3 C. 500 cm 3 D. 104.67 cm 3 Solve the equation. 38. n + 6.3 = 16.3 A. 22.6 B. 10 C. 10 D. 22.6 39. 33 = p 6.71 A. 39.71 B. 26.29 C. 39.71 D. 26.29 40. 2.5 = d (-20) A. 22.5 B. 17.5 C. 17.5 D. 22.5 42. 5d = 17.5 A. 22.1 B. 12.1 C. 85.5 D. 3.42 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
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..345 +.372 +.350 +.349 + x = 1.754;.326 B..345 +.372 +.350 +.349 + x = 1.754;.316 C. x + 1.754 =.345 +.372 +.350 +.349;.326 D. 1.718 x =.345 +.372 +.350 +.349;.330 46. Ichiro Suzuki s batting average in 2001 was.350. The all-time American League leading hitter was George Sisler of St. Louis in 1922. Write and solve an equation to find Sisler s batting average that year, given that his average x was.072 more than Ichiro Suzuki s average in 2001. A. x.350 =.072;.278 C. x.072 =.350;.422 B. x +.072 =.350;.278 D. x +.072 =.350;.422 47. A farm produces an average of 17.1 liters of milk per day. About how many days will it take to produce 200 liters of milk? A. about 12 days B. about 11 days C. about 10 days D. about 13 days 48. A baseball player was at bat 428 times in one season, and had a batting average of.344. The batting average formula is a = h/n, where a is the batting average, h is the number of hits, and n is the number of times at bat. Use the formula to find the number of hits the baseball player made. A. 135 hits B. 128 hits C. 144 hits D. 147 hits 51. Find the values for x and y that satisfy xy = 0.07 and x + y = 0.8. A. x = 0.1, y = 0.7 B. x = 0.4, y = 0.9 C. x = 0.5, y = 0.6 D. x = 0.7, y = 0.8 52. Choose an appropriate metric unit for the height of a giraffe. A. gram B. meter C. milliliter D. liter Choose a reasonable estimate. 53. the height of a fire hydrant A. 70 mm B. 70 cm C. 70 m D. 70 km 54. the length of a swimming pool A. 20 km B. 20 m C. 20 cm D. 20 mm 55. the mass of a baby A. 7 kg B. 7 g C. 7 L D. 7 kl 56. the amount of water a pot can hold A. 5,000 mg B. 5,000 kg C. 5,000 ml D. 5,000 L Complete the statement. 57. 469.1 mg = g A. 0.4691 B. 46,910 C. 469,100 D. 46.91 58. 0.155 ml = L A. 0.000155 B. 155 C. 0.0155 D. 15.5
59. 22.62 mm = m A. 0.2262 B. 0.02262 C. 0.002262 D. 22,620 60. Which measurement is equivalent to 10 g? A. 1 dag B. 1 dg C. 1 cg D. 1 hg 61. Which statement is NOT true? A. 3.6 kg = 3,600 g C. 1.5 g > 50 mg B. 300 ml < 2 L D. 3.7 cm > 45 mm 62. Which measure is greatest? A. 7 kg B. 68.1 cg C. 700 mg D. 6,900 g 63. A pyramid has a square base that is 160 m on each side. What is the perimeter of the base in kilometers? A. 0.0256 km B. 0.00064 km C. 0.64 km D. 3.2 km 64. The mass of 1 cubic centimeter of copper is about 8.9 g. About how many kilograms is the mass of 100 cubic centimeters of copper? A. 890 kg B. 8.9 kg C. 0.0089 kg D. 0.89 kg 65. The height of a mountain is 6,384 meters. What is its height in millimeters? A. 6.384 mm B. 63.84 mm C. 6,384,000 mm D. 638,400 mm Solve by simplifying the problem. 66. There are 18 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? A. 149 projects B. 153 projects C. 171 projects D. 135 projects 67. Evan stacks some blocks as shown. If he continues the pattern to 10 rows, what is the total number of blocks he will use? A. 57 blocks B. 55 blocks C. 60 blocks D. 49 blocks 68. The houses on your street are numbered with odd numbers starting with 1 and ending with 201. How many house numbers contain at least one 7? A. 30 numbers B. 28 numbers C. 24 numbers D. 20 numbers Solve using any strategy. 69. A school band has a brass section of trumpet, trombone, and tuba players. There are twice as many trombones as tubas, and half as many trombones as trumpets. If there are two tubas in the band, what is the total number of players in the brass section? A. 8 players B. 10 players C. 12 players D. 14 players 70. A dime is 1.25 mm thick. How many meters high would a stack of dimes worth $50 be? A. 0.00625 m B. 6.25 m C. 625 m D. 0.625 m 71. 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 72. 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