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.
1.2x − 13 = 11
Answer: x = 12
- Add 13 to both sides: 2x = 24
- Divide both sides by 2: x = 12
2.6x + 1 = 73
Answer: x = 12
- Subtract 1 from both sides: 6x = 72
- Divide both sides by 6: x = 12
3.3x + 5 = 35
Answer: x = 10
- Subtract 5 from both sides: 3x = 30
- Divide both sides by 3: x = 10
4.7x + 1 = −55
Answer: x = −8
- Subtract 1 from both sides: 7x = −56
- Divide both sides by 7: x = −8
5.3x + 4 = −17
Answer: x = −7
- Subtract 4 from both sides: 3x = −21
- Divide both sides by 3: x = −7
6.6x + 11 = 83
Answer: x = 12
- Subtract 11 from both sides: 6x = 72
- Divide both sides by 6: x = 12
7.2x + 2 = 8
Answer: x = 3
- Subtract 2 from both sides: 2x = 6
- Divide both sides by 2: x = 3
8.8x − 13 = −85
Answer: x = −9
- Add 13 to both sides: 8x = −72
- Divide both sides by 8: x = −9
9.6x − 6 = −48
Answer: x = −7
- Add 6 to both sides: 6x = −42
- Divide both sides by 6: x = −7
10.3x + 15 = −12
Answer: x = −9
- Subtract 15 from both sides: 3x = −27
- Divide both sides by 3: x = −9
11.6x − 1 = −7
Answer: x = −1
- Add 1 to both sides: 6x = −6
- Divide both sides by 6: x = −1
12.5x − 10 = 40
Answer: x = 10
- Add 10 to both sides: 5x = 50
- Divide both sides by 5: x = 10
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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