NumicornNumicornLearn, solve, progress

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.

Select a test

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

3. 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

Which point must lie on the graph of the proportional relationship y=4xy=4x?

Please select an answer first.

Correct answer: A

The correct answer is (0,0)(0,0).

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Every proportional relationship has the form y=kxy=kx and passes through the origin, (0,0)(0,0).
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Every proportional relationship has the form y=kxy=kx and passes through the origin, (0,0)(0,0).

2. QuestionMultiple choice

For the proportional relationship y=2xy=2x, what is yy when x=6x=6?

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=6x=6: y=2⋅6=12y=2\cdot6=12.
  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=2⋅6=12y=2\cdot6=12.

3. QuestionMultiple choice

Which equation represents the table x=1,2,3x=1,2,3 and y=5,10,15y=5,10,15?

Please select an answer first.

Correct answer: C

The correct answer is y=5xy=5x.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: The ratio y÷xy\div x is always 5, so the equation is y=5xy=5x.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

The ratio y÷xy\div x is always 5, so the equation is y=5xy=5x.

4. QuestionMultiple choice

A proportional graph contains the point (3,12)(3,12). What is the constant of proportionality?

Please select an answer first.

Correct answer: D

The correct answer is 44.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: For a point on y=kxy=kx, k=y÷x=12÷3=4k=y\div x=12\div3=4.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

For a point on y=kxy=kx, k=y÷x=12÷3=4k=y\div x=12\div3=4.

5. QuestionMultiple choice

A proportional table contains (2,8)(2,8) and (4,16)(4,16). What is the constant of proportionality?

Please select an answer first.

Correct answer: A

The correct answer is 44.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Each output is 4 times the input: 8÷2=16÷4=48\div2=16\div4=4.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Each output is 4 times the input: 8÷2=16÷4=48\div2=16\div4=4.

6. QuestionMultiple choice

A line through the origin passes through (5,35)(5,35). Which equation represents the line?

Please select an answer first.

Correct answer: B

The correct answer is y=7xy=7x.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: The constant is 35÷5=735\div5=7, so the equation is y=7xy=7x.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

The constant is 35÷5=735\div5=7, so the equation is y=7xy=7x.

7. QuestionMultiple choice

Which point lies on the graph of y=0.5xy=0.5x?

Please select an answer first.

Correct answer: C

The correct answer is (8,4)(8,4).

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: For x=8x=8, y=0.5⋅8=4y=0.5\cdot8=4, so (8,4)(8,4) lies on the graph.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

For x=8x=8, y=0.5⋅8=4y=0.5\cdot8=4, so (8,4)(8,4) lies on the graph.

8. QuestionMultiple choice

A table has x=3,6,9x=3,6,9 and y=12,24,36y=12,24,36. What is yy when x=15x=15?

Please select an answer first.

Correct answer: D

The correct answer is 6060.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: The constant is 12÷3=412\div3=4. Therefore, y=4⋅15=60y=4\cdot15=60.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

The constant is 12÷3=412\div3=4. Therefore, y=4⋅15=60y=4\cdot15=60.

9. QuestionMultiple choice

Which point lies on the graph of y=6xy=6x when x=2x=2?

Please select an answer first.

Correct answer: A

The correct answer is (2,12)(2,12).

  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=6⋅2=12y=6\cdot2=12.
  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=6⋅2=12y=6\cdot2=12.

10. QuestionMultiple choice

A proportional table includes (4,10)(4,10). What value of xx gives y=25y=25?

Please select an answer first.

Correct answer: B

The correct answer is 1010.

  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=10÷4=2.5k=10\div4=2.5. Solve 2.5x=252.5x=25: x=10x=10.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

The constant is k=10÷4=2.5k=10\div4=2.5. Solve 2.5x=252.5x=25: x=10x=10.

Previous testNext test

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.