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Proportions Test

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

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#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

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#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

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#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

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#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

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Written Solutions:

#1:

Solution:

a) not a proportion

b) proportion

c) not a proportion

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#2:

Solution:

a) proportion

b) not a proportion

c) not a proportion

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#3:

Solution:

a) not a proportion

b) proportion

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#4:

Solution:

a) proportion

b) not a proportion

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#5:

Solution:

a) not a proportion

b) proportion

c) not a proportion

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