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Pre-Algebra Chapter 3 Study Guide


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Round 18.79 to the underlined place.
a.
18
b.
17
c.
20
d.
19
 

 2. 
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%.
 

 3. 
Estimate mc003-1.jpg by rounding before you add or subtract.
a.
about 8
b.
about 7
c.
about 5
d.
about 6
 

 4. 
Estimate mc004-1.jpg using front-end estimation.
a.
about $19.60
b.
about $18.60
c.
about $20.10
d.
about $17.10
 

 5. 
Estimate mc005-1.jpg using clustering.
a.
about 100
b.
about 108
c.
about 112
d.
about 117
 

 6. 
Estimate mc006-1.jpg.
a.
about 84
b.
about 70
c.
about 98
d.
about 78
 

 7. 
Estimate mc007-1.jpg using compatible numbers.
a.
about 8
b.
about 10
c.
about 9
d.
about 11
 

 8. 
Is 5.95 a reasonable quotient for mc008-1.jpg? Explain.
a.
Yes; since 5.95 is close to the estimate 6, it is reasonable.
b.
Yes; since 5.95 is close to the estimate 5, it is reasonable.
c.
No; since 5.95 is not close to the estimate 5, it is not reasonable.
d.
No; since 5.95 is close to the estimate 6, it is not reasonable.
 

 9. 
Which estimate is closest to the actual quotient mc009-1.jpg?
a.
6.67
b.
7
c.
8
d.
12.5
 

 10. 
Determine two compatible numbers to use to estimate the quotient 5,071 mc010-1.jpg 62.
a.
4,800 and 60
b.
4,900 and 70
c.
5,000 and 60
d.
5,100 and 60
 

 11. 
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
 

 12. 
The number of patients treated at Dr. McCormick’s dentist office each day was recorded for nine days. These are the data: 20, 9, 8, 17, 19, 16, 13, 14, 8. Find the mean, median, and mode of the data. If necessary, round to the nearest tenth.
a.
14, 11.8, 8
b.
11.8, 14, 8
c.
13.8, 8, 14
d.
13.8, 14, 8
 
 
How many modes, if any, does the group of data have?
 

 13. 
Kate, Tim, John, John, Angela, Tim, Sue
a.
1 mode
b.
2 modes
c.
3 modes
d.
no mode
 

 14. 
20, 5, 22, 2, 20, 2, 2, 22
a.
3 modes
b.
2 modes
c.
no mode
d.
1 mode
 

 15. 
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
 

 16. 
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
 

 17. 
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
 

 18. 
Which measure of central tendency best describes this situation: the favorite fruit sold in the cafeteria? Explain.
a.
Median; there likely are no outliers.
b.
Mean; there likely are no outliers.
c.
Median; there likely are outliers.
d.
Mode; the data are not numerical.
 

 19. 
Use the formula mc019-1.jpg. 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
 

 20. 
The formula mc020-1.jpg 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.
58mc020-2.jpg
b.
53mc020-3.jpg
c.
52mc020-4.jpg
d.
56mc020-5.jpg
 

 21. 
The Johnsons framed a family picture to hang on the wall. The perimeter of the frame is 72 inches. Use the formula mc021-1.jpg to find the length of the frame if the width is 14 inches.
a.
25 in.
b.
23 in.
c.
22 in.
d.
21 in.
 
 
Solve the equation.
 

 22. 
mc022-1.jpg
a.
22.6
b.
10
c.
–10
d.
–22.6
 

 23. 
mc023-1.jpg
a.
22.5
b.
–17.5
c.
17.5
d.
–22.5
 

 24. 
mc024-1.jpg
a.
174.888
b.
95.488
c.
235.088
d.
155.688
 

 25. 
mc025-1.jpg
a.
22.1
b.
12.1
c.
85.5
d.
3.42
 

 26. 
mc026-1.jpg
a.
1.05
b.
0.74
c.
–6.95
d.
11.8
 

 27. 
You buy a shirt that costs $9.95. With tax, you pay $10.65. Write and solve an equation to find the amount of tax x you paid.
a.
mc027-1.jpg; $0.70
c.
mc027-3.jpg; $0.70
b.
mc027-2.jpg; $20.60
d.
mc027-4.jpg; $0.70
 

 28. 
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
 

 29. 
A baseball player was at bat 428 times in one season, and had a batting average of .344. The batting average formula is mc029-1.jpg, 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
 

 30. 
You pay 3.3 cents per minute for long-distance phone calls on your phone. Your phone bill is $3.40. Write and solve an equation to find the number of minutes m of long-distance calls you made.
a.
mc030-1.jpg; 103 minutes
c.
mc030-3.jpg; 83 minutes
b.
mc030-2.jpg; 11 minutes
d.
mc030-4.jpg; 10 minutes
 

 31. 
Choose an appropriate metric unit for the height of a giraffe.
a.
gram
b.
meter
c.
milliliter
d.
liter
 
 
Complete the statement.
 

 32. 
469.1 mg =mc032-1.jpgg
a.
0.4691
b.
46,910
c.
469,100
d.
46.91
 

 33. 
22.62 mm =mc033-1.jpgm
a.
0.2262
b.
0.02262
c.
0.002262
d.
22,620
 

 34. 
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
 

 35. 
Which measure is greatest?
a.
7 kg
b.
68.1 cg
c.
700 mg
d.
6,900 g
 



 
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