Year 8 Solving Linear Equations Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear EquationsYear 8 Solving Linear Equations Worksheet — Level 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.3x − 9 = −18
Answer: x = −3
- Add 9 to both sides: 3x = −9
- Divide both sides by 3: x = −3
2.9x − 6 = 84
Answer: x = 10
- Add 6 to both sides: 9x = 90
- Divide both sides by 9: x = 10
3.4x + 15 = −1
Answer: x = −4
- Subtract 15 from both sides: 4x = −16
- Divide both sides by 4: x = −4
4.3x − 14 = −2
Answer: x = 4
- Add 14 to both sides: 3x = 12
- Divide both sides by 3: x = 4
5.6x + 6 = 18
Answer: x = 2
- Subtract 6 from both sides: 6x = 12
- Divide both sides by 6: x = 2
6.4x + 4 = 20
Answer: x = 4
- Subtract 4 from both sides: 4x = 16
- Divide both sides by 4: x = 4
7.2x − 3 = 9
Answer: x = 6
- Add 3 to both sides: 2x = 12
- Divide both sides by 2: x = 6
8.9x + 2 = 11
Answer: x = 1
- Subtract 2 from both sides: 9x = 9
- Divide both sides by 9: x = 1
9.2x − 9 = −15
Answer: x = −3
- Add 9 to both sides: 2x = −6
- Divide both sides by 2: x = −3
10.4x − 13 = −5
Answer: x = 2
- Add 13 to both sides: 4x = 8
- Divide both sides by 4: x = 2
11.9x − 13 = −76
Answer: x = −7
- Add 13 to both sides: 9x = −63
- Divide both sides by 9: x = −7
12.7x + 12 = 61
Answer: x = 7
- Subtract 12 from both sides: 7x = 49
- Divide both sides by 7: x = 7
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.