Year 8 Solving Linear Equations Worksheet — Level 1 — 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 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.3x = 21
Answer: x = 7
- Divide both sides by 3
- x = 21 ÷ 3 = 7
2.x + 5 = 16
Answer: x = 11
- Subtract 5 from both sides
- x = 16 − 5 = 11
3.x − 8 = 3
Answer: x = 11
- Add 8 to both sides
- x = 3 + 8 = 11
4.x − 11 = −2
Answer: x = 9
- Add 11 to both sides
- x = −2 + 11 = 9
5.x − 12 = −9
Answer: x = 3
- Add 12 to both sides
- x = −9 + 12 = 3
6.x + 20 = 27
Answer: x = 7
- Subtract 20 from both sides
- x = 27 − 20 = 7
7.x + 9 = 20
Answer: x = 11
- Subtract 9 from both sides
- x = 20 − 9 = 11
8.x + 3 = 15
Answer: x = 12
- Subtract 3 from both sides
- x = 15 − 3 = 12
9.x + 1 = 12
Answer: x = 11
- Subtract 1 from both sides
- x = 12 − 1 = 11
10.x − 7 = 5
Answer: x = 12
- Add 7 to both sides
- x = 5 + 7 = 12
11.x + 3 = 6
Answer: x = 3
- Subtract 3 from both sides
- x = 6 − 3 = 3
12.x + 5 = 15
Answer: x = 10
- Subtract 5 from both sides
- x = 15 − 5 = 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.