Year 7 Solving Linear Equations Worksheet — Level 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 2 — Answers
Success Tutoring
Solve each equation. Show every step and check your answer by substituting it back in.
1.7x + 7 = −21
Answer: x = −4
- Subtract 7 from both sides: 7x = −28
- Divide both sides by 7: x = −4
2.4x + 6 = 10
Answer: x = 1
- Subtract 6 from both sides: 4x = 4
- Divide both sides by 4: x = 1
3.8x + 11 = −61
Answer: x = −9
- Subtract 11 from both sides: 8x = −72
- Divide both sides by 8: x = −9
4.4x + 15 = 31
Answer: x = 4
- Subtract 15 from both sides: 4x = 16
- Divide both sides by 4: x = 4
5.2x − 5 = 13
Answer: x = 9
- Add 5 to both sides: 2x = 18
- Divide both sides by 2: x = 9
6.2x + 5 = 11
Answer: x = 3
- Subtract 5 from both sides: 2x = 6
- Divide both sides by 2: x = 3
7.5x − 9 = 21
Answer: x = 6
- Add 9 to both sides: 5x = 30
- Divide both sides by 5: x = 6
8.5x + 3 = −27
Answer: x = −6
- Subtract 3 from both sides: 5x = −30
- Divide both sides by 5: x = −6
9.9x + 7 = 34
Answer: x = 3
- Subtract 7 from both sides: 9x = 27
- Divide both sides by 9: x = 3
10.9x − 14 = −41
Answer: x = −3
- Add 14 to both sides: 9x = −27
- Divide both sides by 9: x = −3
11.6x − 1 = −55
Answer: x = −9
- Add 1 to both sides: 6x = −54
- Divide both sides by 6: x = −9
12.2x − 9 = −15
Answer: x = −3
- Add 9 to both sides: 2x = −6
- Divide both sides by 2: x = −3
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.