Year 8 Solving Linear Equations Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Year 8 · Mathematics · Linear Equations
Year 8 Solving Linear Equations Worksheet — Level 2 — Answers
Success Tutoring
Solve each equation. Show every step and check your answer by substituting it back in.
1.3x + 13 = 34
Answer: x = 7
- Subtract 13 from both sides: 3x = 21
- Divide both sides by 3: x = 7
2.8x − 9 = 7
Answer: x = 2
- Add 9 to both sides: 8x = 16
- Divide both sides by 8: x = 2
3.5x + 11 = 6
Answer: x = −1
- Subtract 11 from both sides: 5x = −5
- Divide both sides by 5: x = −1
4.7x − 6 = 50
Answer: x = 8
- Add 6 to both sides: 7x = 56
- Divide both sides by 7: x = 8
5.5x + 15 = 30
Answer: x = 3
- Subtract 15 from both sides: 5x = 15
- Divide both sides by 5: x = 3
6.3x + 12 = 33
Answer: x = 7
- Subtract 12 from both sides: 3x = 21
- Divide both sides by 3: x = 7
7.6x + 3 = 45
Answer: x = 7
- Subtract 3 from both sides: 6x = 42
- Divide both sides by 6: x = 7
8.9x + 10 = 64
Answer: x = 6
- Subtract 10 from both sides: 9x = 54
- Divide both sides by 9: x = 6
9.3x − 11 = 22
Answer: x = 11
- Add 11 to both sides: 3x = 33
- Divide both sides by 3: x = 11
10.2x + 5 = 3
Answer: x = −1
- Subtract 5 from both sides: 2x = −2
- Divide both sides by 2: x = −1
11.2x − 6 = 18
Answer: x = 12
- Add 6 to both sides: 2x = 24
- Divide both sides by 2: x = 12
12.3x − 6 = 27
Answer: x = 11
- Add 6 to both sides: 3x = 33
- Divide both sides by 3: x = 11
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.