Year 7 Solving Linear Equations Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 7 linear equations worksheet.
Year 7 · Mathematics · Linear Equations
Year 7 Solving Linear Equations Worksheet — Level 1 — Answers
Success Tutoring
Solve each equation. Show every step and check your answer by substituting it back in.
1.x − 2 = 0
Answer: x = 2
- Add 2 to both sides
- x = 0 + 2 = 2
2.3x = 15
Answer: x = 5
- Divide both sides by 3
- x = 15 ÷ 3 = 5
3.8x = 88
Answer: x = 11
- Divide both sides by 8
- x = 88 ÷ 8 = 11
4.2x = 2
Answer: x = 1
- Divide both sides by 2
- x = 2 ÷ 2 = 1
5.4x = 20
Answer: x = 5
- Divide both sides by 4
- x = 20 ÷ 4 = 5
6.x − 3 = 6
Answer: x = 9
- Add 3 to both sides
- x = 6 + 3 = 9
7.5x = 30
Answer: x = 6
- Divide both sides by 5
- x = 30 ÷ 5 = 6
8.x − 17 = −16
Answer: x = 1
- Add 17 to both sides
- x = −16 + 17 = 1
9.x − 17 = −15
Answer: x = 2
- Add 17 to both sides
- x = −15 + 17 = 2
10.x + 2 = 9
Answer: x = 7
- Subtract 2 from both sides
- x = 9 − 2 = 7
11.x − 16 = −14
Answer: x = 2
- Add 16 to both sides
- x = −14 + 16 = 2
12.x − 9 = 0
Answer: x = 9
- Add 9 to both sides
- x = 0 + 9 = 9
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.
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