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Grade 7 Two-step equations Worksheets

Grade 7 practice: Solve a two-step equation of the form ax + b = c. Choose a level below to generate a fresh set of questions.

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Understanding two-step equations

Two-step equations of the form ax + b = c are solved by undoing the operations in reverse order: first remove the constant that is added or subtracted, then divide away the coefficient of the variable. Each step is applied to both sides to keep the equation balanced. This is the natural extension of one-step solving toward fuller algebra.

To solve 3x + 4 = 19, subtract 4 from both sides to get 3x = 15, then divide both sides by 3 to get x = 5. A common mistake is dividing before subtracting, dividing the whole left side by 3 too early and mishandling the 4. Tip: peel the equation like an onion, undo addition or subtraction first, then division, and substitute your answer back into 3x + 4 to confirm it gives 19.

Sample two-step equations questions

These examples come from the Easy setting. Generate a worksheet for a complete page with space for working.

  1. Solve for x: 4x + 3 = 23
  2. Solve for x: 5x + 6 = 31
  3. Solve for x: 3x + 8 = 14
  4. Solve for x: 3x + 4 = 22
Check the sample answers
  1. x = 5
  2. x = 5
  3. x = 2
  4. x = 6

Practice focus

Solve a two-step equation of the form ax + b = c. Show your working so each step is clear.

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Frequently asked questions

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These grade 7 two-step equations worksheets are made for Grade 7 learners, with four difficulty levels so you can match the practice to the child.
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