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Grade 7 One-Step Equations (+ and −) Worksheets

Solve x + b = c and x − b = c by doing the same thing to both sides.

Every sheet below is generated fresh with a matching answer key. Pick one of the three levels, preview it, and print or download the PDF — no account, no watermark. For the other grade 7 pre-algebra skills, see all pre-algebra worksheets.

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Pre-Algebra · Grade 7

Grade
Topic
SkillEach skill is a different kind of question, with its own levels.
Level
Questions
10

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Grade 7 · 3 pages · A4

Pre-Algebra Practice

Grade 7 • One-Step Equations (+ and −) • Undo a subtraction
Name:Date:

Solve each equation. Show your work.

  1. 1) Solve for x: x − 16 = 13
    Answer:
  1. 2) Solve for x: 12 = x − 13
    Answer:
  1. 3) Solve for x: x − 17 = 3
    Answer:
  1. 4) Solve for x: 1 = x − 5
    Answer:
  1. 5) Solve for x: x − 4 = 8
    Answer:
  1. 6) Solve for x: 1 = x − 3
    Answer:
  1. 7) Solve for x: x − 14 = 15
    Answer:
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Page 1 of 3

Solve each equation. Show your work. (continued)

  1. 8) Solve for x: 4 = x − 4
    Answer:
  1. 9) Solve for x: x − 11 = 13
    Answer:
  1. 10) Solve for x: 8 = x − 7
    Answer:
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Page 2 of 3

Answer Key

  1. 1. 29
  2. 2. 25
  3. 3. 20
  4. 4. 6
  1. 5. 12
  2. 6. 4
  3. 7. 29
  4. 8. 8
  1. 9. 24
  2. 10. 15
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Page 3 of 3

What each level generates

Grade 7 one-step equations (+ and −) — the exact skill behind each difficulty setting, straight from the generator.

  1. Level 1Undo an addition
  2. Level 2Undo a subtraction
  3. Level 3x is the number taken away

Grade levels follow the progression common to most English-language curricula — not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence →

More Grade 7 pre-algebra skills

Each one generates a different kind of question, with its own three levels and answer key.

Frequently asked questions

▸What pre-algebra is taught in Grade 7?

The headline skill is solving two-step equations such as px + q = r. Its three levels here run multiply-then-add, multiply-then-subtract, then divide-then-add-or-subtract, and equations like a(x + b) = c have a sheet of their own, Equations with Brackets.

▸How do you solve a two-step equation?

Undo the operations in reverse. For 4x + 3 = 23, first subtract 3 from both sides to get 4x = 20, then divide both sides by 4 to get x = 5. Always deal with the added or subtracted term before the coefficient.

▸How do you solve an equation like 3(x + 2) = 21?

Clear the bracket first. Either divide both sides by 3 to get x + 2 = 7 and then subtract 2 for x = 5, or multiply out to 3x + 6 = 21 and solve the two-step equation. Both give the same answer — pick one method and stick with it.

▸Can I get different problems with the same settings?

Yes — press Shuffle. Same grade, skill, level and count, brand-new numbers, and each shuffle gets its own shareable link so you can save a particular set or hand it to a class.

▸Is there space to show working?

Yes. Sheets leave room under each problem so students can write both steps, and choosing a larger font or the easy-read font gives even more space for students who need it.