Year 8 Solving Linear Equations Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Year 8 · Mathematics · Linear Equations
Year 8 Solving Linear Equations Worksheet — Level 1 — Answers
Success Tutoring
Solve each equation. Show every step and check your answer by substituting it back in.
1.x − 16 = −6
Answer: x = 10
- Add 16 to both sides
- x = −6 + 16 = 10
2.6x = 18
Answer: x = 3
- Divide both sides by 6
- x = 18 ÷ 6 = 3
3.x − 11 = −1
Answer: x = 10
- Add 11 to both sides
- x = −1 + 11 = 10
4.x − 19 = −18
Answer: x = 1
- Add 19 to both sides
- x = −18 + 19 = 1
5.x − 6 = −5
Answer: x = 1
- Add 6 to both sides
- x = −5 + 6 = 1
6.x + 8 = 15
Answer: x = 7
- Subtract 8 from both sides
- x = 15 − 8 = 7
7.x + 4 = 12
Answer: x = 8
- Subtract 4 from both sides
- x = 12 − 4 = 8
8.x + 11 = 20
Answer: x = 9
- Subtract 11 from both sides
- x = 20 − 11 = 9
9.x + 17 = 18
Answer: x = 1
- Subtract 17 from both sides
- x = 18 − 17 = 1
10.x + 19 = 20
Answer: x = 1
- Subtract 19 from both sides
- x = 20 − 19 = 1
11.x − 9 = 3
Answer: x = 12
- Add 9 to both sides
- x = 3 + 9 = 12
12.x + 6 = 11
Answer: x = 5
- Subtract 6 from both sides
- x = 11 − 6 = 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.