Year 9 Solving Linear Equations Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.2x − 3 = −1
Answer: x = 1
- Add 3 to both sides: 2x = 2
- Divide both sides by 2: x = 1
2.8x − 15 = 17
Answer: x = 4
- Add 15 to both sides: 8x = 32
- Divide both sides by 8: x = 4
3.5x + 5 = −40
Answer: x = −9
- Subtract 5 from both sides: 5x = −45
- Divide both sides by 5: x = −9
4.7x + 6 = −50
Answer: x = −8
- Subtract 6 from both sides: 7x = −56
- Divide both sides by 7: x = −8
5.3x − 1 = 14
Answer: x = 5
- Add 1 to both sides: 3x = 15
- Divide both sides by 3: x = 5
6.2x + 12 = −4
Answer: x = −8
- Subtract 12 from both sides: 2x = −16
- Divide both sides by 2: x = −8
7.6x − 2 = −44
Answer: x = −7
- Add 2 to both sides: 6x = −42
- Divide both sides by 6: x = −7
8.5x + 9 = −16
Answer: x = −5
- Subtract 9 from both sides: 5x = −25
- Divide both sides by 5: x = −5
9.9x − 14 = 67
Answer: x = 9
- Add 14 to both sides: 9x = 81
- Divide both sides by 9: x = 9
10.2x + 13 = 7
Answer: x = −3
- Subtract 13 from both sides: 2x = −6
- Divide both sides by 2: x = −3
11.2x − 5 = −17
Answer: x = −6
- Add 5 to both sides: 2x = −12
- Divide both sides by 2: x = −6
12.5x − 7 = 43
Answer: x = 10
- Add 7 to both sides: 5x = 50
- Divide both sides by 5: x = 10
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.