Year 9 Solving Linear Equations Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Year 9 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 = 16
Answer: x = 7
- Subtract 9 from both sides
- x = 16 − 9 = 7
2.x − 8 = 3
Answer: x = 11
- Add 8 to both sides
- x = 3 + 8 = 11
3.x + 3 = 10
Answer: x = 7
- Subtract 3 from both sides
- x = 10 − 3 = 7
4.x − 12 = −4
Answer: x = 8
- Add 12 to both sides
- x = −4 + 12 = 8
5.x + 1 = 8
Answer: x = 7
- Subtract 1 from both sides
- x = 8 − 1 = 7
6.9x = 63
Answer: x = 7
- Divide both sides by 9
- x = 63 ÷ 9 = 7
7.9x = 36
Answer: x = 4
- Divide both sides by 9
- x = 36 ÷ 9 = 4
8.x − 11 = −9
Answer: x = 2
- Add 11 to both sides
- x = −9 + 11 = 2
9.x + 11 = 15
Answer: x = 4
- Subtract 11 from both sides
- x = 15 − 11 = 4
10.x + 2 = 8
Answer: x = 6
- Subtract 2 from both sides
- x = 8 − 2 = 6
11.x − 13 = −8
Answer: x = 5
- Add 13 to both sides
- x = −8 + 13 = 5
12.x − 4 = 0
Answer: x = 4
- Add 4 to both sides
- x = 0 + 4 = 4
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.