Year 8 Solving Linear Equations Worksheet — Level 1 — Practice Set 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 1 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x − 8 = −3
Answer: x = 5
- Add 8 to both sides
- x = −3 + 8 = 5
2.x + 4 = 14
Answer: x = 10
- Subtract 4 from both sides
- x = 14 − 4 = 10
3.x + 2 = 4
Answer: x = 2
- Subtract 2 from both sides
- x = 4 − 2 = 2
4.3x = 27
Answer: x = 9
- Divide both sides by 3
- x = 27 ÷ 3 = 9
5.x + 5 = 9
Answer: x = 4
- Subtract 5 from both sides
- x = 9 − 5 = 4
6.x − 20 = −12
Answer: x = 8
- Add 20 to both sides
- x = −12 + 20 = 8
7.x + 6 = 12
Answer: x = 6
- Subtract 6 from both sides
- x = 12 − 6 = 6
8.2x = 18
Answer: x = 9
- Divide both sides by 2
- x = 18 ÷ 2 = 9
9.x − 17 = −11
Answer: x = 6
- Add 17 to both sides
- x = −11 + 17 = 6
10.6x = 6
Answer: x = 1
- Divide both sides by 6
- x = 6 ÷ 6 = 1
11.x − 11 = −1
Answer: x = 10
- Add 11 to both sides
- x = −1 + 11 = 10
12.x + 12 = 15
Answer: x = 3
- Subtract 12 from both sides
- x = 15 − 12 = 3
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.