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.

2. 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=7xy=7x, what is yy when x=3x=3?

Please select an answer first.

Correct answer: A

The correct answer is 2121.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Substitute x=3x=3: y=7⋅3=21y=7\cdot3=21.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Substitute x=3x=3: y=7⋅3=21y=7\cdot3=21.

2. QuestionMultiple choice

If y=0.25xy=0.25x, what is yy when x=20x=20?

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: Substitute x=20x=20: y=0.25⋅20=5y=0.25\cdot20=5.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Substitute x=20x=20: y=0.25⋅20=5y=0.25\cdot20=5.

3. QuestionMultiple choice

For the relationship y=12xy=12x, what is xx when y=60y=60?

Please select an answer first.

Correct answer: C

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: Solve 12x=6012x=60: x=60÷12=5x=60\div12=5.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Solve 12x=6012x=60: x=60÷12=5x=60\div12=5.

4. QuestionMultiple choice

For the relationship y=1.5xy=1.5x, what is xx when y=18y=18?

Please select an answer first.

Correct answer: D

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: Solve 1.5x=181.5x=18: x=18÷1.5=12x=18\div1.5=12.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Solve 1.5x=181.5x=18: x=18÷1.5=12x=18\div1.5=12.

5. QuestionMultiple choice

If y=9xy=9x, what is yy when x=7x=7?

Please select an answer first.

Correct answer: A

The correct answer is 6363.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Substitute x=7x=7: y=9⋅7=63y=9\cdot7=63.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Substitute x=7x=7: y=9⋅7=63y=9\cdot7=63.

6. QuestionMultiple choice

If y=0.8xy=0.8x, what is yy when x=15x=15?

Please select an answer first.

Correct answer: B

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=15x=15: y=0.8⋅15=12y=0.8\cdot15=12.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Substitute x=15x=15: y=0.8⋅15=12y=0.8\cdot15=12.

7. QuestionMultiple choice

For the relationship y=23xy=\frac{2}{3}x, what is yy when x=18x=18?

Please select an answer first.

Correct answer: C

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=18x=18: y=23⋅18=12y=\frac{2}{3}\cdot18=12.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Substitute x=18x=18: y=23⋅18=12y=\frac{2}{3}\cdot18=12.

8. QuestionMultiple choice

If y=4.5xy=4.5x, what is yy when x=6x=6?

Please select an answer first.

Correct answer: D

The correct answer is 2727.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Substitute x=6x=6: y=4.5⋅6=27y=4.5\cdot6=27.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Substitute x=6x=6: y=4.5⋅6=27y=4.5\cdot6=27.

9. QuestionMultiple choice

If y=11xy=11x, what is yy when x=2x=2?

Please select an answer first.

Correct answer: A

The correct answer is 2222.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Substitute x=2x=2: y=11⋅2=22y=11\cdot2=22.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Substitute x=2x=2: y=11⋅2=22y=11\cdot2=22.

10. QuestionMultiple choice

If y=1.2xy=1.2x, what is yy when x=25x=25?

Please select an answer first.

Correct answer: B

The correct answer is 3030.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Substitute x=25x=25: y=1.2⋅25=30y=1.2\cdot25=30.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Substitute x=25x=25: y=1.2⋅25=30y=1.2\cdot25=30.

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.