Year 8 Solving Linear Equations Worksheet — Level 2 (Set 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 (Set 2) — Answers
Success Tutoring
Solve each equation. Show every step and check your answer by substituting it back in.
1.5x + 3 = −7
Answer: x = −2
- Subtract 3 from both sides: 5x = −10
- Divide both sides by 5: x = −2
2.4x + 12 = 0
Answer: x = −3
- Subtract 12 from both sides: 4x = −12
- Divide both sides by 4: x = −3
3.2x + 4 = −2
Answer: x = −3
- Subtract 4 from both sides: 2x = −6
- Divide both sides by 2: x = −3
4.9x + 6 = 96
Answer: x = 10
- Subtract 6 from both sides: 9x = 90
- Divide both sides by 9: x = 10
5.4x + 8 = −28
Answer: x = −9
- Subtract 8 from both sides: 4x = −36
- Divide both sides by 4: x = −9
6.3x − 10 = −19
Answer: x = −3
- Add 10 to both sides: 3x = −9
- Divide both sides by 3: x = −3
7.4x + 15 = 59
Answer: x = 11
- Subtract 15 from both sides: 4x = 44
- Divide both sides by 4: x = 11
8.9x − 5 = 67
Answer: x = 8
- Add 5 to both sides: 9x = 72
- Divide both sides by 9: x = 8
9.9x + 14 = 122
Answer: x = 12
- Subtract 14 from both sides: 9x = 108
- Divide both sides by 9: x = 12
10.3x − 15 = 15
Answer: x = 10
- Add 15 to both sides: 3x = 30
- Divide both sides by 3: x = 10
11.2x + 15 = 17
Answer: x = 1
- Subtract 15 from both sides: 2x = 2
- Divide both sides by 2: x = 1
12.5x − 6 = −31
Answer: x = −5
- Add 6 to both sides: 5x = −25
- Divide both sides by 5: x = −5
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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