Practice Activities
Name
Chapter 7, Lessons 1 – 4
Write a ratio in three different forms for each situation. Express in simplest form.
Change to like units when necessary.
1. 7 tickets sold to 21 tickets sold 2. 3 dimes to 4 nickels
3. 4 days out of 6 weeks
Find two rates equal to each given rate.
18 points
4. _________
​ ​ 5. ___________
​ 1.5 miles ​ 3​ __14 ​yards
_________
6. ​ ​ 7. 192 fl oz in 6 cartons
8. 540 straws in 15 boxes
9. $6.48 for 18 ounces
$22.95
10. __________
​ ​ 11. ____________
​ 73.5 miles
​
6​ __1 ​pounds
__________
12. ​ 5
​ 12 people
2.4 minutes
4 designs
Copyright © by William H. Sadlier, Inc. Permission to duplicate classroom quantities granted to users of Foundations of Algebra.
Find the unit rate.
15 pounds
24.5 minutes
4 cartons
Determine if the ratios form a proportion. Write 5 or . Justify your answer.
13. 2 : 3
8:9
16. ___
​ 0.5 ​ ____
​ 18 ​ 43.2
1.2
14. 13 : 14
26 : 38
17. ___
​ 4.9 ​ ___
​ 7 ​ 0.9
6.3
Solve each proportion. Check to justify your solutions.
4 ​ 19. ___
​ k ​ 5 ​ __
91
7
20. ____
​ 0.65 ​ 5 ___
​ c ​ 2.3
4.6
15. 4 : 24
5 : 30
1 ​ 5​ __
___
18. ​ 2 ​ 1 ​ 3​ __
1 ​ 8​ __
___
​ 4 ​ 7 ​ 4​ __
8
4
__
​ 3 ​ 12
___
__
21. ​ ​ 5 ​ 8 ​ d
__
​ 1 ​ 2
__
​ 5 ​ __
​ 2 ​ 8
__
__
22. ​ ​ 5 ​ 3x ​
__
​ 3 ​ 3 23. ______
​ 4a 2 ​
5 __
​ 3 ​ 24
8
y 1 3 _____
y25
24. _____
​ ​ 5 ​ ​ 15
5
4
Course II, Chapter 7
(continued)
Practice Activities
Name
Chapter 7, Lessons 1 – 4
Write a proportion to represent the situation. Then solve.
25. One gallon equals 32 gills. How many
gallons are in 1536 gills?
26. There are 8 quarts in one peck. How many
quarts are in 106 pecks?
27. One teaspoon is equal to 6 fluid ounces.
How many teaspoons are in 915 fluid
ounces?
28. There are three teaspoons in one
tablespoon. How many teaspoons are there
in 24.5 tablespoons?
Copyright © by William H. Sadlier, Inc. Permission to duplicate classroom quantities granted to users of Foundations of Algebra.
Solve. Check to justify your work.
29. There are 36 inches in one yard. How many
inches are in 24.5 yards?
30. One cup equals 8 fluid ounces. How many
cups are in 376 fluid ounces?
31. There are 1000 kilograms in one metric ton.
32. One dekameter equals 10 meters. How
How many kilograms are in 28.25 metric tons?
many dekameters are in 206 meters?
33. There are 2 pints in one quart. How many
quarts are in 353.5 pints?
34. One mile is about 1.61 kilometers. How
many kilometers are in 18 miles?
35. One fluid ounce is about 29.6 milliliters.
How many milliliters are in 11.5 fluid
ounces?
36. One quart is about 0.946 liters. How many
liters are in one gallon?
Use dimensional analysis to rename each unit of measure.
37. 1.75 T 5
oz
38. 79,200 in. 5
mi
39. 1120 fl oz 5
gal
Use dimensional analysis to rename each unit of measure.
40. 2 T 
g
41. 90 in. 
m
42. 192 fl oz 
L
Course II, Chapter 7
(continued)
Practice Activities
Name
Chapter 7, Lessons 1 – 4
Use dimensional analysis to find a reasonable estimate.
43. 37.87 ft 
yd
44. 4763 L 
kL
Use dimensional analysis to find the value of x that makes an equal rate.
45. ______
​ 0.4 km
​ 5 _____
​ x km ​ 1s
1h
x yd
46. ______
​ 65 mi ​5 ____
​ ​ 1s
1 min
47. ____
​ 4 T ​ 5 ______
​ x lb ​ 1c
1 fl oz
48. _______
​ 4200 L ​ 5 _____
​ x kL ​ 1 mg
1g
Copyright © by William H. Sadlier, Inc. Permission to duplicate classroom quantities granted to users of Foundations of Algebra.
Solve. Show your work.
49. If 7​ __18 ​lb of grapes cost $11.40, how much
would 5​ __12 ​pounds cost? At the same
rate, how much would 6.75 pounds of
grapes cost?
50. Within 1 mile, there are about 1.61 kilometers.
Jeff drove 95,040 feet. Karolinka drove
18.75 miles. Who drove more kilometers? By
how many kilometers?
Course II, Chapter 7