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.
1.3x − 15 = −39
Answer: x = −8
- Add 15 to both sides: 3x = −24
- Divide both sides by 3: x = −8
2.7x − 8 = −36
Answer: x = −4
- Add 8 to both sides: 7x = −28
- Divide both sides by 7: x = −4
3.5x + 5 = 65
Answer: x = 12
- Subtract 5 from both sides: 5x = 60
- Divide both sides by 5: x = 12
4.6x + 10 = 82
Answer: x = 12
- Subtract 10 from both sides: 6x = 72
- Divide both sides by 6: x = 12
5.3x + 15 = 48
Answer: x = 11
- Subtract 15 from both sides: 3x = 33
- Divide both sides by 3: x = 11
6.2x + 13 = 37
Answer: x = 12
- Subtract 13 from both sides: 2x = 24
- Divide both sides by 2: x = 12
7.3x − 15 = −24
Answer: x = −3
- Add 15 to both sides: 3x = −9
- Divide both sides by 3: x = −3
8.2x + 8 = 22
Answer: x = 7
- Subtract 8 from both sides: 2x = 14
- Divide both sides by 2: x = 7
9.8x + 8 = −48
Answer: x = −7
- Subtract 8 from both sides: 8x = −56
- Divide both sides by 8: x = −7
10.3x + 13 = 37
Answer: x = 8
- Subtract 13 from both sides: 3x = 24
- Divide both sides by 3: x = 8
11.5x + 13 = 43
Answer: x = 6
- Subtract 13 from both sides: 5x = 30
- Divide both sides by 5: x = 6
12.7x − 7 = −63
Answer: x = −8
- Add 7 to both sides: 7x = −56
- Divide both sides by 7: 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.