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Grade 7 Math · Proportional Relationships

Grade 7 Proportional Relationships Practice Test

Build Grade 7 Math skills with five 10-question practice tests on unit rates, constants of proportionality, tables, equations, graphs, and real-world relationships.

Proportional Relationships Practice Tests

These Grade 7 Math practice tests help students recognize and solve proportional relationships. Students work with unit rates, constants of proportionality, tables, equations, graphs through the origin, scale relationships, and real-world rates.

Skills covered

  • Finding unit rates and constants of proportionality
  • Using equations such as y = kx
  • Completing proportional tables
  • Identifying proportional graphs that pass through the origin
  • Solving scale, rate, cost, distance, recipe, and work problems
  • Checking whether two quantities maintain a constant ratio

How to use these practice tests

For a proportional relationship, the ratio y/x stays constant. Find the unit rate or constant of proportionality first, then use y = kx or an equivalent proportion to solve for the missing value. A proportional graph passes through the origin.

For more Grade 7 Math practice, return to the Grade 7 Math category.

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5 Tests
1. Test2. Test3. Test4. Test5. Test

1. Test

Grade 7 Proportional Relationships Practice Tests

A 10-question Grade 7 Math practice test on constant of proportionality, unit rates, tables, equations, graphs, and real-world proportional relationships.

Find the constant ratio or unit rate, write the proportional equation, and use the relationship to solve for the missing value.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

If y=3xy=3x, what is the value of yy when x=4x=4?

Please select an answer first.

Correct answer: A

The correct answer is 1212.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Substitute x=4x=4: y=3⋅4=12y=3\cdot4=12.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Substitute x=4x=4: y=3⋅4=12y=3\cdot4=12.

2. QuestionMultiple choice

A proportional table includes (x,y)=(2,10)(x,y)=(2,10) and (5,25)(5,25). What is the constant of proportionality?

Please select an answer first.

Correct answer: B

The correct answer is 55.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Divide yy by xx: k=10÷2=5k=10\div2=5. The second pair confirms the same ratio.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Divide yy by xx: k=10÷2=5k=10\div2=5. The second pair confirms the same ratio.

3. QuestionMultiple choice

If y=0.5xy=0.5x, what is yy when x=14x=14?

Please select an answer first.

Correct answer: C

The correct answer is 77.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Substitute x=14x=14: y=0.5⋅14=7y=0.5\cdot14=7.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Substitute x=14x=14: y=0.5⋅14=7y=0.5\cdot14=7.

4. QuestionMultiple choice

Eight notebooks cost $24 at a constant rate. What is the cost of one notebook?

Please select an answer first.

Correct answer: D

The correct answer is $3.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Find the unit rate: 24÷8=324\div8=3 dollars per notebook.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Find the unit rate: 24÷8=324\div8=3 dollars per notebook.

5. QuestionMultiple choice

For a proportional relationship, y=18y=18 when x=6x=6. What is the constant of proportionality?

Please select an answer first.

Correct answer: A

The correct answer is 33.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: The constant is k=y÷x=18÷6=3k=y\div x=18\div6=3.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

The constant is k=y÷x=18÷6=3k=y\div x=18\div6=3.

6. QuestionMultiple choice

If y=4xy=4x, what value of xx gives y=28y=28?

Please select an answer first.

Correct answer: B

The correct answer is 77.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Solve 4x=284x=28: x=28÷4=7x=28\div4=7.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Solve 4x=284x=28: x=28÷4=7x=28\div4=7.

7. QuestionMultiple choice

A proportional relationship has x=9x=9 and y=27y=27. What is the constant of proportionality?

Please select an answer first.

Correct answer: C

The correct answer is 33.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Divide the output by the input: k=27÷9=3k=27\div9=3.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Divide the output by the input: k=27÷9=3k=27\div9=3.

8. QuestionMultiple choice

Five tickets cost $40 at a constant rate. What is the cost of one ticket?

Please select an answer first.

Correct answer: D

The correct answer is $8.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: The unit rate is 40÷5=840\div5=8 dollars per ticket.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

The unit rate is 40÷5=840\div5=8 dollars per ticket.

9. QuestionMultiple choice

A table has (x,y)=(1,6)(x,y)=(1,6) and (4,24)(4,24). What is the constant of proportionality?

Please select an answer first.

Correct answer: A

The correct answer is 66.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Both pairs give y÷x=6y\div x=6, so the constant of proportionality is 6.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Both pairs give y÷x=6y\div x=6, so the constant of proportionality is 6.

10. QuestionMultiple choice

If y=2.5xy=2.5x, what is yy when x=8x=8?

Please select an answer first.

Correct answer: B

The correct answer is 2020.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Substitute x=8x=8: y=2.5⋅8=20y=2.5\cdot8=20.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Substitute x=8x=8: y=2.5⋅8=20y=2.5\cdot8=20.

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Frequently asked questions about Grade 7 Proportional Relationships

What is a proportional relationship?

It is a relationship in which the ratio between corresponding values stays constant and can be written as y = kx.

What is the constant of proportionality?

The constant of proportionality is the unit rate k, found by dividing y by x in a proportional pair.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 7 Proportional Relationships questions in total.