EXERCISES
A Practice by Example
Example 1
(page 256)
For more practice, see Extra Practice.
Determine whether the ratios in each pair can form a proportion by writing
each ratio in simplest form. Exercise 1 has been started for you.
2. 68 , 43
1. 12 , 14
28
14 = 141 = c
28 228
3
10
5. 15
6. 45
9, 2
45 , 15
Example 2
(page 257)
Example 3
(page 258)
B
8 , 20
3. 18
45
56
4. 21
24 , 64
5
7. 19
76 , 20
2
8. 17
34 , 3
Determine whether the ratios in each pair can form a proportion by finding
a common multiplier.
9. 28 , 18
72
10. 52 , 65
26
160
11. 40
12 , 3
12. 79 , 35
45
3
13. 11
20 , 5
3
14. 45
60 , 4
96
15. 16
9 , 54
3 , 15
16. 10
25
Determine whether the ratios in each pair can form a proportion by using
cross products.
6, 9
17. 10
15
18. 45 , 10
13
19. 78 , 15
24
6 ,3
20. 14
7
7 , 28
21. 22
77
20
22. 12
15 , 25
6 , 24
23. 10
42
24. 59 , 15
27
25. Decorating A certain shade of green paint requires 4 parts blue to 5 parts
yellow. If you mix 16 quarts of blue paint with 25 quarts of yellow paint,
will you get the desired shade of green? Explain.
Astronauts learn to work
even when they are
weightless.
26. Physical Science An astronaut who weighs 174 lb on Earth weighs 29 lb
on the moon. If you weigh 102 lb on Earth, would you weigh 17 lb on
the moon? Explain.
Determine whether the ratios in each pair are proportional.
110
27. 56
2, 3
4.8
28. 18
12 , 3.6
20 , 60
29. 1.5
4.5
2.04
30. 3.5
35 , 204
Geometry Show that the ratio of b to h is the same in each pair of figures.
31.
32.
h 5 9 cm
h 5 15 cm
h 5 4.5 in.
h 5 9 in.
b 5 12 cm
b 5 20 cm
C
33. Do
b 5 9.75 in.
b 5 19.5 in.
length of side s of square ABCD
length of side x of square EFGH
and perimeter of square EFGH
perimeter of square ABCD
always, sometimes, or never form a proportion? Explain.
b
34. Writing in Math Explain why ba and a 1
b can never form a proportion.
35. Stretch Your Thinking If it takes you one minute to cut one board, how
long will it take you to cut a 10-ft board into 10 equal pieces?
258-259
Chapter 5 Ratios, Rates, and Proportions
Test Prep
Multiple Choice
36. Which ratio can form a proportion with 34 ?
B. 18
20
A. 4
3
C. 1
2
D. 21
28
37. Which ratio CANNOT form a proportion with 58 ?
Take It to the NET
Online lesson quiz at
www.PHSchool.com
Web Code: aba-0504
Short Response
F. 20
32
G. 100
160
H. 45
56
I. 10
16
38. Which ratio is NOT in simplest form?
A. 2
5
C. 3
7
B. 2
7
D. 3
9
3
39. Use cross products to determine whether 15
25 and 4 can form a
proportion. Show your work.
Mixed Review
Lesson 2-3
Algebra
Solve each equation.
40. y - 3 = 6
Lesson 1-10
41. m + 5 = 3
42. b + 7 = 10
Find the mean and median of each set of data.
43. 14 20 5 17 15 16 17 18
44. 12 15 7 9 10 13 8 7
5-4 Proportions
258-259