Year 9 Solving Linear Equations Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear EquationsYear 9 Solving Linear Equations Worksheet — Level 2 — Practice Set 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.5x + 1 = −44
Answer: x = −9
- Subtract 1 from both sides: 5x = −45
- Divide both sides by 5: x = −9
2.5x + 13 = 18
Answer: x = 1
- Subtract 13 from both sides: 5x = 5
- Divide both sides by 5: x = 1
3.6x − 6 = −24
Answer: x = −3
- Add 6 to both sides: 6x = −18
- Divide both sides by 6: x = −3
4.7x + 5 = −2
Answer: x = −1
- Subtract 5 from both sides: 7x = −7
- Divide both sides by 7: x = −1
5.8x − 7 = 89
Answer: x = 12
- Add 7 to both sides: 8x = 96
- Divide both sides by 8: x = 12
6.8x − 7 = −39
Answer: x = −4
- Add 7 to both sides: 8x = −32
- Divide both sides by 8: x = −4
7.3x + 1 = −8
Answer: x = −3
- Subtract 1 from both sides: 3x = −9
- Divide both sides by 3: x = −3
8.5x − 3 = −33
Answer: x = −6
- Add 3 to both sides: 5x = −30
- Divide both sides by 5: x = −6
9.9x − 10 = −46
Answer: x = −4
- Add 10 to both sides: 9x = −36
- Divide both sides by 9: x = −4
10.9x + 7 = −11
Answer: x = −2
- Subtract 7 from both sides: 9x = −18
- Divide both sides by 9: x = −2
11.7x − 1 = −57
Answer: x = −8
- Add 1 to both sides: 7x = −56
- Divide both sides by 7: x = −8
12.6x + 11 = −37
Answer: x = −8
- Subtract 11 from both sides: 6x = −48
- Divide both sides by 6: x = −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.