Year 7 Solving Linear Equations Worksheet — Level 1 (Set 2) — 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 (Set 2) — Answers
Success Tutoring
Solve each equation. Show every step and check your answer by substituting it back in.
1.x + 19 = 31
Answer: x = 12
- Subtract 19 from both sides
- x = 31 − 19 = 12
2.2x = 18
Answer: x = 9
- Divide both sides by 2
- x = 18 ÷ 2 = 9
3.6x = 18
Answer: x = 3
- Divide both sides by 6
- x = 18 ÷ 6 = 3
4.x + 11 = 17
Answer: x = 6
- Subtract 11 from both sides
- x = 17 − 11 = 6
5.x + 10 = 12
Answer: x = 2
- Subtract 10 from both sides
- x = 12 − 10 = 2
6.5x = 15
Answer: x = 3
- Divide both sides by 5
- x = 15 ÷ 5 = 3
7.x − 9 = −3
Answer: x = 6
- Add 9 to both sides
- x = −3 + 9 = 6
8.x − 15 = −5
Answer: x = 10
- Add 15 to both sides
- x = −5 + 15 = 10
9.5x = 45
Answer: x = 9
- Divide both sides by 5
- x = 45 ÷ 5 = 9
10.x − 9 = −5
Answer: x = 4
- Add 9 to both sides
- x = −5 + 9 = 4
11.x − 12 = −2
Answer: x = 10
- Add 12 to both sides
- x = −2 + 12 = 10
12.x − 13 = −12
Answer: x = 1
- Add 13 to both sides
- x = −12 + 13 = 1
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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