Year 8 Solving Linear Equations Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x + 9 = 11
Answer: x = 2
- Subtract 9 from both sides
- x = 11 − 9 = 2
2.x − 17 = −7
Answer: x = 10
- Add 17 to both sides
- x = −7 + 17 = 10
3.2x = 14
Answer: x = 7
- Divide both sides by 2
- x = 14 ÷ 2 = 7
4.9x = 81
Answer: x = 9
- Divide both sides by 9
- x = 81 ÷ 9 = 9
5.7x = 70
Answer: x = 10
- Divide both sides by 7
- x = 70 ÷ 7 = 10
6.x + 2 = 4
Answer: x = 2
- Subtract 2 from both sides
- x = 4 − 2 = 2
7.3x = 18
Answer: x = 6
- Divide both sides by 3
- x = 18 ÷ 3 = 6
8.x − 12 = −11
Answer: x = 1
- Add 12 to both sides
- x = −11 + 12 = 1
9.x + 16 = 26
Answer: x = 10
- Subtract 16 from both sides
- x = 26 − 16 = 10
10.x − 6 = 0
Answer: x = 6
- Add 6 to both sides
- x = 0 + 6 = 6
11.x + 3 = 10
Answer: x = 7
- Subtract 3 from both sides
- x = 10 − 3 = 7
12.x − 14 = −12
Answer: x = 2
- Add 14 to both sides
- x = −12 + 14 = 2
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.