Year 9 Solving Linear Equations Worksheet — Level 2 — 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 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.8x + 12 = −36
Answer: x = −6
- Subtract 12 from both sides: 8x = −48
- Divide both sides by 8: x = −6
2.2x + 11 = 5
Answer: x = −3
- Subtract 11 from both sides: 2x = −6
- Divide both sides by 2: x = −3
3.9x − 10 = 80
Answer: x = 10
- Add 10 to both sides: 9x = 90
- Divide both sides by 9: x = 10
4.4x − 13 = 11
Answer: x = 6
- Add 13 to both sides: 4x = 24
- Divide both sides by 4: x = 6
5.7x − 4 = −11
Answer: x = −1
- Add 4 to both sides: 7x = −7
- Divide both sides by 7: x = −1
6.6x − 8 = 58
Answer: x = 11
- Add 8 to both sides: 6x = 66
- Divide both sides by 6: x = 11
7.9x − 2 = −83
Answer: x = −9
- Add 2 to both sides: 9x = −81
- Divide both sides by 9: x = −9
8.3x + 5 = −22
Answer: x = −9
- Subtract 5 from both sides: 3x = −27
- Divide both sides by 3: x = −9
9.6x + 9 = 45
Answer: x = 6
- Subtract 9 from both sides: 6x = 36
- Divide both sides by 6: x = 6
10.6x − 9 = 57
Answer: x = 11
- Add 9 to both sides: 6x = 66
- Divide both sides by 6: x = 11
11.5x − 9 = 11
Answer: x = 4
- Add 9 to both sides: 5x = 20
- Divide both sides by 5: x = 4
12.3x + 2 = −13
Answer: x = −5
- Subtract 2 from both sides: 3x = −15
- Divide both sides by 3: x = −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.