When two ratios are equal, they are called a proportion. For example, let’s think about a school that has 30 students and 5 teachers. The ratio of teachers to students is 1:6. Another school has 120 students and 20 teachers. The ratio of teachers to students is also 1:6. These two ratios represent a proportion.
Test Objectives:•Demonstrate the ability to use the equality test for fractions to determine if two fractions are equal
•Demonstrate an understanding of the definition of a proportion
•Demonstrate the ability to determine if two ratios represent a proportion
Proportions Test:
#1:
Instructions: Determine whether each is a proportion.
a)
8 | ? | 2 |
10 | 5 |
b)
4 | ? | 8 |
7 | 14 |
c)
2 | ? | 5 |
3 | 7 |
#2:
Instructions: Determine whether each is a proportion.
a)
4 yards of yarn | ? | 20 yards of yarn |
3 sweaters | 15 sweaters |
b)
6 dollars | ? | 8 dollars |
3 pesos | 7 pesos |
c)
13 men | ? | 39 men |
26 women | 52 women |
#3:
Instructions: Determine whether each is a proportion.
a)
5 grams salt | ? | 30 grams salt |
20 gallons water | 100 gallons water |
b)
8 defects | ? | 48 defects |
120 rims | 720 rims |
#4:
Instructions: Determine whether each is a proportion.
a)
14 homes sold | ? | 7 homes sold |
124 homes viewed | 62 homes viewed |
b)
10 miles | ? | 25 miles |
2 gallons of gas | 3 gallons of gas |
#5:
Instructions: Determine whether each is a proportion.
a)
18 | ? | 36 |
10 | 40 |
b)
4 turtles | ? | 8 turtles |
7 dogs | 14 dogs |
c)
3 women | ? | 27 women |
5 boys | 40 boys |
Written Solutions:
Solution:
a) not a proportion
b) proportion
c) not a proportion
Solution:
a) proportion
b) not a proportion
c) not a proportion
Solution:
a) not a proportion
b) proportion
Solution:
a) proportion
b) not a proportion
Solution:
a) not a proportion
b) proportion
c) not a proportion