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Grade 6 Math · One-Step Equations

Grade 6 One-Step Equations Practice Test

Build Grade 6 Math skills with five 10-question practice tests on one-step addition, subtraction, multiplication, division, fractions, decimals, and word problems.

One-Step Equations Practice Tests

These Grade 6 Math practice tests help students solve equations with one operation. Students practice addition, subtraction, multiplication, and division equations with integers, fractions, decimals, negative numbers, word problems, inverse operations, and solution checks.

Skills covered

  • Solving addition and subtraction equations
  • Solving multiplication and division equations
  • Using inverse operations to isolate a variable
  • Working with fractions, decimals, and negative values
  • Translating one-step word problems into equations
  • Checking solutions by substitution
  • Estimating and explaining whether an equation solution is reasonable

How to use these practice tests

Identify the operation applied to the variable and use its inverse on both sides of the equation. Keep the equation balanced, simplify carefully, and substitute the answer back into the original equation. In word problems, define the variable before writing and solving the equation.

For more Grade 6 Math practice, return to the Grade 6 Math category.

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Grade 6 One-Step Equations Practice Tests

A 10-question Grade 6 Math practice test on one-step addition, subtraction, multiplication, and division equations with fractions, decimals, and real-world contexts.

Identify the operation on the variable, use the inverse operation on both sides, and check the solution in the original equation.

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

Solve x+2.5=7x + 2.5 = 7.

Please select an answer first.

Correct answer: A

The correct answer is 4.54.5.

  1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
  2. Use the inverse operation: Subtract 2.5 from both sides: x=7−2.5=4.5x = 7 - 2.5 = 4.5.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Subtract 2.5 from both sides: x=7−2.5=4.5x = 7 - 2.5 = 4.5.

2. QuestionMultiple choice

Solve y−1.75=3.25y - 1.75 = 3.25.

Please select an answer first.

Correct answer: B

The correct answer is 55.

  1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
  2. Use the inverse operation: Add 1.75 to both sides: y=3.25+1.75=5y = 3.25 + 1.75 = 5.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Add 1.75 to both sides: y=3.25+1.75=5y = 3.25 + 1.75 = 5.

3. QuestionMultiple choice

Solve 0.4a=60.4a = 6.

Please select an answer first.

Correct answer: C

The correct answer is 1515.

  1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
  2. Use the inverse operation: Divide by 0.4: a=6÷0.4=15a = 6 \div 0.4 = 15.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Divide by 0.4: a=6÷0.4=15a = 6 \div 0.4 = 15.

4. QuestionMultiple choice

Solve b÷0.5=9b \div 0.5 = 9.

Please select an answer first.

Correct answer: D

The correct answer is 4.54.5.

  1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
  2. Use the inverse operation: Multiply both sides by 0.5: b=9×0.5=4.5b = 9 \times 0.5 = 4.5.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Multiply both sides by 0.5: b=9×0.5=4.5b = 9 \times 0.5 = 4.5.

5. QuestionMultiple choice

Solve n+34=2n + \frac{3}{4} = 2.

Please select an answer first.

Correct answer: A

The correct answer is 54\frac{5}{4}.

  1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
  2. Use the inverse operation: Subtract 34\frac{3}{4}: n=2−34=54n = 2 - \frac{3}{4} = \frac{5}{4}.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Subtract 34\frac{3}{4}: n=2−34=54n = 2 - \frac{3}{4} = \frac{5}{4}.

6. QuestionMultiple choice

Solve p - rac{2}{3} = \frac{1}{3}.

Please select an answer first.

Correct answer: B

The correct answer is 11.

  1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
  2. Use the inverse operation: Add 23\frac{2}{3} to both sides: p=13+23=1p = \frac{1}{3} + \frac{2}{3} = 1.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Add 23\frac{2}{3} to both sides: p=13+23=1p = \frac{1}{3} + \frac{2}{3} = 1.

7. QuestionMultiple choice

Solve 25x=8\frac{2}{5}x = 8.

Please select an answer first.

Correct answer: C

The correct answer is 2020.

  1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
  2. Use the inverse operation: Divide by 25\frac{2}{5} or multiply by 52\frac{5}{2}: x=8×52=20x = 8 \times \frac{5}{2} = 20.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Divide by 25\frac{2}{5} or multiply by 52\frac{5}{2}: x=8×52=20x = 8 \times \frac{5}{2} = 20.

8. QuestionMultiple choice

Solve q \div rac{3}{4} = 4.

Please select an answer first.

Correct answer: D

The correct answer is 33.

  1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
  2. Use the inverse operation: Multiply both sides by 34\frac{3}{4}: q=4×34=3q = 4 \times \frac{3}{4} = 3.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Multiply both sides by 34\frac{3}{4}: q=4×34=3q = 4 \times \frac{3}{4} = 3.

9. QuestionMultiple choice

Solve r+1.2=−0.8r + 1.2 = -0.8.

Please select an answer first.

Correct answer: A

The correct answer is −2-2.

  1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
  2. Use the inverse operation: Subtract 1.2 from both sides: r=−0.8−1.2=−2r = -0.8 - 1.2 = -2.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Subtract 1.2 from both sides: r=−0.8−1.2=−2r = -0.8 - 1.2 = -2.

10. QuestionMultiple choice

Solve s−2.5=−1s - 2.5 = -1.

Please select an answer first.

Correct answer: B

The correct answer is 1.51.5.

  1. Identify the operation: Determine which operation is applied to the variable and what inverse operation will undo it.
  2. Use the inverse operation: Add 2.5 to both sides: s=−1+2.5=1.5s = -1 + 2.5 = 1.5.
  3. Check the solution: Substitute the value into the original equation and confirm that both sides are equal.

Add 2.5 to both sides: s=−1+2.5=1.5s = -1 + 2.5 = 1.5.

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Frequently asked questions about Grade 6 One-Step Equations

What topics are covered?

The page covers one-step addition, subtraction, multiplication, and division equations with integers, fractions, decimals, word problems, inverse operations, and checking.

Why must the same operation be used on both sides?

Applying the same operation to both sides preserves equality while the variable is isolated.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 6 One-Step Equations questions in total.