Linear Equations Practice Tests

These Grade 8 Math practice tests cover one-variable linear equations, inverse operations, multi-step solving, distribution, variables on both sides, fractions, decimals, identities, no-solution equations, and real-world applications.

Skills covered

  • Solving one-step and multi-step equations with integer, fraction, and decimal coefficients
  • Using the distributive property and combining like terms
  • Solving equations with variables on both sides and identifying identities or contradictions
  • Checking solutions by substitution and interpreting equations in context
  • Modeling rates, costs, perimeter, savings, distance, temperature, and other situations

How to use these practice tests

Simplify both sides first, perform the same operation on both sides, isolate the variable, and substitute your answer into the original equation to check it.

For more Grade 8 Math practice, return to the Grade 8 Math category.

3. Test

Grade 8 Linear Equations Practice Tests

Practice Grade 8 Math questions about one-variable linear equations, multi-step solving, fractions, decimals, identities, no-solution equations, and applications.

Choose the best answer for each question. Keep both sides balanced and check the solution in the original equation.

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

Solve x4=2.5\frac{x}{4}=2.5.

Please select an answer first.

Correct answer: A

The correct answer is x=10x=10.

  1. Simplify each side: Use the distributive property and combine like terms before isolating the variable.
  2. Keep the equation balanced: Multiply both sides by 4: x=2.5⋅4=10x=2.5\cdot4=10.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides have the same value.

Multiply both sides by 4: x=2.5⋅4=10x=2.5\cdot4=10.

2. QuestionMultiple choice

Solve 0.5x=60.5x=6.

Please select an answer first.

Correct answer: B

The correct answer is x=12x=12.

  1. Simplify each side: Use the distributive property and combine like terms before isolating the variable.
  2. Keep the equation balanced: Divide by 0.5, or multiply by 2: x=6÷0.5=12x=6\div0.5=12.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides have the same value.

Divide by 0.5, or multiply by 2: x=6÷0.5=12x=6\div0.5=12.

3. QuestionMultiple choice

Solve 1.2x=9.61.2x=9.6.

Please select an answer first.

Correct answer: C

The correct answer is x=8x=8.

  1. Simplify each side: Use the distributive property and combine like terms before isolating the variable.
  2. Keep the equation balanced: Divide both sides by 1.2: x=9.6÷1.2=8x=9.6\div1.2=8.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides have the same value.

Divide both sides by 1.2: x=9.6÷1.2=8x=9.6\div1.2=8.

4. QuestionMultiple choice

Solve x5−2=4\frac{x}{5}-2=4.

Please select an answer first.

Correct answer: D

The correct answer is x=30x=30.

  1. Simplify each side: Use the distributive property and combine like terms before isolating the variable.
  2. Keep the equation balanced: Add 2 and multiply by 5: x5=6\frac{x}{5}=6, so x=30x=30.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides have the same value.

Add 2 and multiply by 5: x5=6\frac{x}{5}=6, so x=30x=30.

5. QuestionMultiple choice

Solve 34x=9\frac{3}{4}x=9.

Please select an answer first.

Correct answer: A

The correct answer is x=12x=12.

  1. Simplify each side: Use the distributive property and combine like terms before isolating the variable.
  2. Keep the equation balanced: Multiply by the reciprocal 43\frac{4}{3}: x=9⋅43=12x=9\cdot\frac{4}{3}=12.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides have the same value.

Multiply by the reciprocal 43\frac{4}{3}: x=9⋅43=12x=9\cdot\frac{4}{3}=12.

6. QuestionMultiple choice

Solve x+1.5=4.2x+1.5=4.2.

Please select an answer first.

Correct answer: B

The correct answer is x=2.7x=2.7.

  1. Simplify each side: Use the distributive property and combine like terms before isolating the variable.
  2. Keep the equation balanced: Subtract 1.5: x=4.2−1.5=2.7x=4.2-1.5=2.7.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides have the same value.

Subtract 1.5: x=4.2−1.5=2.7x=4.2-1.5=2.7.

7. QuestionMultiple choice

Solve 2.5x−1=92.5x-1=9.

Please select an answer first.

Correct answer: C

The correct answer is x=4x=4.

  1. Simplify each side: Use the distributive property and combine like terms before isolating the variable.
  2. Keep the equation balanced: Add 1 and divide by 2.5: 2.5x=102.5x=10, so x=4x=4.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides have the same value.

Add 1 and divide by 2.5: 2.5x=102.5x=10, so x=4x=4.

8. QuestionMultiple choice

Solve x2.5=4\frac{x}{2.5}=4.

Please select an answer first.

Correct answer: D

The correct answer is x=10x=10.

  1. Simplify each side: Use the distributive property and combine like terms before isolating the variable.
  2. Keep the equation balanced: Multiply both sides by 2.5: x=4⋅2.5=10x=4\cdot2.5=10.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides have the same value.

Multiply both sides by 2.5: x=4⋅2.5=10x=4\cdot2.5=10.

9. QuestionMultiple choice

Solve 0.2x+3=50.2x+3=5.

Please select an answer first.

Correct answer: A

The correct answer is x=10x=10.

  1. Simplify each side: Use the distributive property and combine like terms before isolating the variable.
  2. Keep the equation balanced: Subtract 3 and divide by 0.2: 0.2x=20.2x=2, so x=10x=10.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides have the same value.

Subtract 3 and divide by 0.2: 0.2x=20.2x=2, so x=10x=10.

10. QuestionMultiple choice

Solve 56x=20\frac{5}{6}x=20.

Please select an answer first.

Correct answer: B

The correct answer is x=24x=24.

  1. Simplify each side: Use the distributive property and combine like terms before isolating the variable.
  2. Keep the equation balanced: Multiply by 65\frac{6}{5}: x=20⋅65=24x=20\cdot\frac{6}{5}=24.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides have the same value.

Multiply by 65\frac{6}{5}: x=20⋅65=24x=20\cdot\frac{6}{5}=24.