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.x + 20 = 24
Answer: x = 4
- Subtract 20 from both sides
- x = 24 − 20 = 4
2.3x = 21
Answer: x = 7
- Divide both sides by 3
- x = 21 ÷ 3 = 7
3.x − 10 = −9
Answer: x = 1
- Add 10 to both sides
- x = −9 + 10 = 1
4.x − 15 = −14
Answer: x = 1
- Add 15 to both sides
- x = −14 + 15 = 1
5.x + 19 = 21
Answer: x = 2
- Subtract 19 from both sides
- x = 21 − 19 = 2
6.3x = 9
Answer: x = 3
- Divide both sides by 3
- x = 9 ÷ 3 = 3
7.x + 15 = 26
Answer: x = 11
- Subtract 15 from both sides
- x = 26 − 15 = 11
8.2x = 8
Answer: x = 4
- Divide both sides by 2
- x = 8 ÷ 2 = 4
9.2x = 24
Answer: x = 12
- Divide both sides by 2
- x = 24 ÷ 2 = 12
10.x − 18 = −6
Answer: x = 12
- Add 18 to both sides
- x = −6 + 18 = 12
11.x + 5 = 7
Answer: x = 2
- Subtract 5 from both sides
- x = 7 − 5 = 2
12.x − 2 = 6
Answer: x = 8
- Add 2 to both sides
- x = 6 + 2 = 8
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.