Back to Lesson 8-2
Name
Name
8-1B
page 2
In 15–18, use the following sentence: The four basic operations in
math are addition, subtraction, multiplication, and division.
Fraction
_1
15. ratio of one-syllable words to all words
_1
16. ratio of one-syllable words to
multi-syllable words
1
_1
17. ratio of words that have three letters
to all words
4
18. ratio of words that have fewer than
six letters to words that have more
than six letters
PROPERTIES
Decimal
Percent
0.5
2
_7
5
8-2A Lesson Master
50%
1
100%
0.25
25%
1.4
140%
Questions on SPUR Objectives
See Student Edition pages 508–511 for objectives.
Objective E
In 1–8, write the reciprocal as a simple fraction in lowest terms.
1. 3
_1
5
2. _7
5
3
5. 1_14
_4
3. 0.5
_7
1
6. _
0.8
5
7. 0.44
_4
5
11
5
B _
11
5
_7
8
_1
4
_3
8
_5
20. ratio of yellow marbles to green
marbles
21. ratio of blue marbles to all marbles
22. ratio of red marbles to all marbles
23. ratio of blue marbles to green marbles 4
24. ratio of quarters to dimes
25. ratio of pennies to all coins
26. ratio of nickels to quarters
27. ratio of nickels to all coins
0.8
80%
0.875
0.25
0.375
1.25
87.5%
25%
37.5%
125%
430
Decimal
Percent
0.75
0.14
1.25
0.3
10
75%
14%
125%
30%
and multiply. If the product is 1, then they are reciprocals.
b. Is Olivia correct?
yes
In 11–14, solve for x.
11. 2x = 1
9
12. _
x=1
10
13. 1 = 0.6x
14. 7_13 x = 1
x = _12
x = 1 _19
x = 1 _23
3
x = __
22
15. In 2006, sales of cars in Maryland dropped from 66,000 sold in March to 50,000 sold in
December. Compare these two months of car sales using two different ratios.
Answers vary. Sample: Car sales in March were 1.32 times that in
December; car sales in December were about 76% of car sales in March.
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Name
8-2B Lesson Master
PROPERTIES
Questions on SPUR Objectives
1. 6
2. – _59
6
4. –2 _13
7. 3 _12
1
5. _
0.5
8. –2 _37
11. –1.4
5
__
42
3
13. _
11
3. 0.4
a. Describe how John can find out.
_1
6. 0.35
1
14. _9
11
__
–
9. 0.88
7
__
17
1
12. _
0.75
– _57
Copyright © Wright Group/McGraw-Hill
1
5
B _
17
10
C _
15
10
B 1_
5
18. Multiple Choice Which is the reciprocal of 1 _13 ?
A 1_31
4
B _3
yes
25
__
22
In 21–28, solve for x.
_3
3
22. _
x=1
11
23. 1 = 0.4x
24. 3_25 x = 1
25. –5x = 1
26. 1.6x = 1
27. 1 = –2.25x
28. 5 _34 x = 1
x = 2_12
12
__
B
D
_
C 0.6
x = – _15
D 3 _25
x = – _49
1
D _
1.5
a. Describe how Oscar can check his answer.
___
No; the reciprocal is 0. 45.
x = _58
4
x = __
23
enrollment in 2007; the enrollment in 2007 was 1.25 times the
enrollment in 2006.
30. In July, a car dealership sold 10 new minivans. In August, it sold 15 new minivans.
Compare the sales of new minivans during the two months using two different ratios.
Answers vary. Sample: Sales in July were _23 of the sales in
August; the sales in August were 150% of the sales in July.
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5
x = __
17
Answers vary. Sample: The enrollment in 2006 was _45 the
Answers vary. Sample: He can convert the decimals to fractions
and then multiply. If the product is 1, then they are reciprocals.
x = 3_23
29. In 2006, the enrollment at a school was 200 students. In 2007, the enrollment was
250 students. Compare these two enrollments using two different ratios.
D 0.75
_
19. Oscar thinks the reciprocal of 2.2 is 0.4, but he is not sure.
b. Is Oscar correct?
21. 4x = 1
x = _14
B
17
C _
5
17. Multiple Choice Which is not the reciprocal of 1.5?
2
A _3
b. Are the two numbers reciprocals?
7
43
16. Multiple Choice Which is the reciprocal of 3.4?
A 3 _52
20
__
4
7
15. 3 _
12
_9
3
Answers vary. Sample: He can multiply 1.25 and 0.8 to see if
the product is 1. If it is, then they are reciprocals. He can also
convert the decimals to fractions and then multiply.
_5
2
2
_2
7
10. 8 _25
– _9
5
– _37
page 2
20. John wants to know whether 0.8 and 1.25 are reciprocals.
Objective E
_1
8-2B
See Student Edition pages 508–511 for objectives.
In 1–15, write the reciprocal as a simple fraction in lowest terms.
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Name
432
1
D _
2.2
Answers vary. Sample: She can convert the decimals to fractions
Percent
In 24–27, use the following information: A piggy bank contains
12 quarters, 16 dimes, 15 nickels, and 7 pennies.
_3
4
7
__
50
_5
4
3
__
C
10
C 2_
2
a. Describe how Olivia can check her answer.
Decimal
Fraction
5
– __
49
10. Olivia thinks the reciprocal of 3.75 is 0.26, but she is not sure.
In 19–23, use the following information: A bag of 40 marbles
contains 10 blue marbles, 15 red marbles, 8 green marbles, and
7 yellow marbles.
19. ratio of green marbles to blue marbles
8. –9 _45
25
__
9. Multiple Choice Which is not the reciprocal of 2.2?
10
A _
22
– _72
1
_
_4 Fraction
4. – _27
_2
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