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Two-step equations worksheet

Grade 7 math, Common Core 7.EE.B.4a. 10 problems with an answer key and worked steps. Free to print, and you can make new problems any time.

By the StudyWiz teamUpdated October 23, 2026How we write our pages

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Two-step equations

Grade 7 math, Common Core 7.EE.B.4a

Solve each equation. Show your work.

  1. 1.
    5y − 4 = −44
  2. 2.
    −6(n + 2) = −96
  3. 3.
    9y + 16 = 52
  4. 4.
    y2 + 10 = 7
  5. 5.
    x4 − 6 = −15
  6. 6.
    −6(x − 8) = 42
  7. 7.
    −2(m − 2) = −14
  8. 8.
    −3x + 4 = 28
  9. 9.
    −2(y + 7) = −26
  10. 10.
    m3 + 8 = 1
Free worksheets for grades 6 to 8 from StudyWiz, with answer keys: studywiz.online/worksheets

Answer key: Two-step equations

Grade 7 math. Each answer has a few worked steps, to help check the method as well as the answer.

  1. 1. y = −8

    Add 4 to both sides: 5y = −40Divide both sides by 5: y = −8

  2. 2. n = 14

    Divide both sides by −6: n + 2 = 16Subtract 2: n = 14

  3. 3. y = 4

    Subtract 16 from both sides: 9y = 36Divide both sides by 9: y = 4

  4. 4. y = −6

    Subtract 10: y2 = −3Multiply both sides by 2: y = −6

  5. 5. x = −36

    Add 6: x4 = −9Multiply both sides by 4: x = −36

  6. 6. x = 1

    Divide both sides by −6: x − 8 = −7Add 8: x = 1

  7. 7. m = 9

    Divide both sides by −2: m − 2 = 7Add 2: m = 9

  8. 8. x = −8

    Subtract 4 from both sides: −3x = 24Divide both sides by −3: x = −8

  9. 9. y = 6

    Divide both sides by −2: y + 7 = 13Subtract 7: y = 6

  10. 10. m = −21

    Subtract 8: m3 = −7Multiply both sides by 3: m = −21

The answer key prints on its own page. You’re welcome to print and copy these worksheets for your own kids or class.

About two-step equations

A two-step equation needs two inverse operations to get the variable alone. Undo addition or subtraction first, then undo multiplication or division. For example, to solve 3x + 4 = 19, subtract 4 from both sides to get 3x = 15, then divide both sides by 3 to get x = 5.

Worked example 1

x2 − 5 = −3
  1. Step 1.Add 5: x2 = 2
  2. Step 2.Multiply both sides by 2: x = 4

Answer: x = 4

Worked example 2

−4(m − 7) = −28
  1. Step 1.Divide both sides by −4: m − 7 = 7
  2. Step 2.Add 7: m = 14

Answer: m = 14

Worked example 3

−4(x + 8) = −8
  1. Step 1.Divide both sides by −4: x + 8 = 2
  2. Step 2.Subtract 8: x = −6

Answer: x = −6

Watch out for

  • Undo adding or subtracting before multiplying or dividing.
  • Do the same thing to both sides of the equation.
  • Check: put your answer back into the original equation.

Practice two-step equations online

On StudyWiz, your kid can practice two-step equations with 5-question quizzes that are checked as they go, with an explanation for every answer. When a homework problem is the trouble, Wiz gives a hint for each step instead of the answer.

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