Year 8 Solving Linear Equations Worksheet — Level 1 (Set 2) — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Year 8 Solving Linear Equations Worksheet — Level 1 (Set 2) — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x − 10 = 2
Answer: x = 12
- Add 10 to both sides
- x = 2 + 10 = 12
2.x + 2 = 8
Answer: x = 6
- Subtract 2 from both sides
- x = 8 − 2 = 6
3.x + 9 = 19
Answer: x = 10
- Subtract 9 from both sides
- x = 19 − 9 = 10
4.x − 12 = −8
Answer: x = 4
- Add 12 to both sides
- x = −8 + 12 = 4
5.x + 20 = 28
Answer: x = 8
- Subtract 20 from both sides
- x = 28 − 20 = 8
6.x − 17 = −16
Answer: x = 1
- Add 17 to both sides
- x = −16 + 17 = 1
7.7x = 14
Answer: x = 2
- Divide both sides by 7
- x = 14 ÷ 7 = 2
8.x + 20 = 25
Answer: x = 5
- Subtract 20 from both sides
- x = 25 − 20 = 5
9.x − 8 = −1
Answer: x = 7
- Add 8 to both sides
- x = −1 + 8 = 7
10.x + 6 = 15
Answer: x = 9
- Subtract 6 from both sides
- x = 15 − 6 = 9
11.x − 14 = −4
Answer: x = 10
- Add 14 to both sides
- x = −4 + 14 = 10
12.x + 17 = 28
Answer: x = 11
- Subtract 17 from both sides
- x = 28 − 17 = 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.
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