Download 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
ANS:
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
Substance A
Substance B
Substance C
Substance D
A.
B.
C.
D.
Percent
19.6%
19.9%
19.5%
14.5%
Yes; substance B would still be the largest part of the medicine.
No; three of the percentages would round to 19%.
No; three of the percentages would round to 20%.
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
D. about 117
ANS:
C. about 112
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
Scissors
Markers
Tape Measure
Paper
A. about 187 g
Mass (g)
78.1
21.3
32.6
56.6
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
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
ANS:
ANS:
ANS:
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
B. 8.1, 8.1, 8.7, 8.8, 9.9
C. 4.2, 6.7, 8.1, 5.5, 9.1
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
B. 23, 35, 77, 81, 64, 15, 44
C. 14, 15, 15, 15, 18, 18, 19, 19, 20
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
B. 5, 7, 3, 8, 4, 3, 5, 6, 1, 3, 6
C. 3, 12, 8, 5, 1, 4, 11, 13, 11, 2
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
ANS:
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
ANS:
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
Ireland
Norway
Denmark
Canada
France
Sweden
Germany
Japan
Italy
United States
Spain
Switzerland
United Kingdom
Number
47
41
40
35
30
27
27
25
23
22
18
17
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
ANS:
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.
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
Rob
Jo Ann
Ed
Hector
Game 1
94
95
107
106
A. 99
Game 2
105
94
100
96
B. 101
Game 3
106
101
100
100
C. 100
Game 4
106
92
101
97
ANS:
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.
1
2
3
4
A
Type of
Movie
Animated
Drama
Action
B
Movie 1
(min. long)
72
92
119
A. 3 * E2 - (B2 + D2)
B. 3 * E2 - (C2 + D2)
C
Movie 2
(min. long)
63
104
84
D
Movie 3
(min. long)
84
113
109
E
Mean Length
73
103
104
C. 3 * E3 - (C3 + D3)
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
ANS:
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.
Year
1999
2000
2001
2002
2003
A.
B.
C.
D.
American League Leading Hitters (1992–1988)
Player
Team
Batting Average
Nomar Garciaparra Boston
.357
Nomar Garciaparra Boston
.372
Ichiro Suzuki
Seattle
.350
Manny Ramirez
Boston
.349
Bill Mueller
Boston
x
.345 + .372 + .350 + .349 + x = 1.754; .326
.345 + .372 + .350 + .349 + x = 1.754; .316
x + 1.754 = .345 + .372 + .350 + .349; .326
1.718 – x = .345 + .372 + .350 + .349; .330
ANS:
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
ANS:
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
ANS:
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.
ANS:
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
ANS:
52. Choose an appropriate metric unit for the height of a giraffe.
A. gram
B. meter
C. milliliter
D. liter
ANS:
Choose a reasonable estimate.
53. the height of a fire hydrant
A. 70 mm
B. 70 cm
C. 70 m
D. 70 km
ANS:
54. the length of a swimming pool
A. 20 km
B. 20 m
C. 20 cm
D. 20 mm
ANS:
55. the mass of a baby
A. 7 kg
C. 7 L
D. 7 kL
ANS:
C. 5,000 mL
D. 5,000 L
ANS:
B. 46,910
C. 469,100
D. 46.91
ANS:
B. 155
C. 0.0155
D. 15.5
ANS:
ANS:
B. 7 g
56. the amount of water a pot can hold
A. 5,000 mg
B. 5,000 kg
Complete the statement.
57. 469.1 mg =
g
A. 0.4691
58. 0.155 mL =
A. 0.000155
L
59. 22.62 mm =
A. 0.2262
m
B. 0.02262
C. 0.002262
60. Which measurement is equivalent to 10 g?
A. 1 dag
B. 1 dg
C. 1 cg
61. 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
62. Which measure is greatest?
A. 7 kg
B. 68.1 cg
C. 700 mg
D. 22,620
ANS:
D. 1 hg
ANS:
ANS:
D. 6,900 g
ANS:
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
ANS:
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
ANS:
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
ANS:
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
ANS:
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
ANS:
ANS:
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
ANS:
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
ANS:
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
ANS:
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
ANS: