Year 8 Solving Linear Equations Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x − 7 = −5
Answer: x = 2
- Add 7 to both sides
- x = −5 + 7 = 2
2.x − 12 = −3
Answer: x = 9
- Add 12 to both sides
- x = −3 + 12 = 9
3.x + 16 = 28
Answer: x = 12
- Subtract 16 from both sides
- x = 28 − 16 = 12
4.x + 4 = 5
Answer: x = 1
- Subtract 4 from both sides
- x = 5 − 4 = 1
5.x + 17 = 20
Answer: x = 3
- Subtract 17 from both sides
- x = 20 − 17 = 3
6.x − 2 = 1
Answer: x = 3
- Add 2 to both sides
- x = 1 + 2 = 3
7.x − 1 = 11
Answer: x = 12
- Add 1 to both sides
- x = 11 + 1 = 12
8.x − 10 = 1
Answer: x = 11
- Add 10 to both sides
- x = 1 + 10 = 11
9.x + 12 = 17
Answer: x = 5
- Subtract 12 from both sides
- x = 17 − 12 = 5
10.x − 16 = −15
Answer: x = 1
- Add 16 to both sides
- x = −15 + 16 = 1
11.x − 9 = −2
Answer: x = 7
- Add 9 to both sides
- x = −2 + 9 = 7
12.x − 4 = 1
Answer: x = 5
- Add 4 to both sides
- x = 1 + 4 = 5
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.