Year 9 Solving Linear Equations Worksheet — Level 2 (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 (Set 2) — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.6x − 3 = 15
Answer: x = 3
- Add 3 to both sides: 6x = 18
- Divide both sides by 6: x = 3
2.6x + 7 = −47
Answer: x = −9
- Subtract 7 from both sides: 6x = −54
- Divide both sides by 6: x = −9
3.5x − 6 = 9
Answer: x = 3
- Add 6 to both sides: 5x = 15
- Divide both sides by 5: x = 3
4.5x − 7 = 33
Answer: x = 8
- Add 7 to both sides: 5x = 40
- Divide both sides by 5: x = 8
5.5x − 14 = 26
Answer: x = 8
- Add 14 to both sides: 5x = 40
- Divide both sides by 5: x = 8
6.9x − 12 = 87
Answer: x = 11
- Add 12 to both sides: 9x = 99
- Divide both sides by 9: x = 11
7.8x − 8 = 56
Answer: x = 8
- Add 8 to both sides: 8x = 64
- Divide both sides by 8: x = 8
8.5x + 13 = 33
Answer: x = 4
- Subtract 13 from both sides: 5x = 20
- Divide both sides by 5: x = 4
9.5x − 15 = −25
Answer: x = −2
- Add 15 to both sides: 5x = −10
- Divide both sides by 5: x = −2
10.5x − 12 = −7
Answer: x = 1
- Add 12 to both sides: 5x = 5
- Divide both sides by 5: x = 1
11.7x − 11 = 59
Answer: x = 10
- Add 11 to both sides: 7x = 70
- Divide both sides by 7: x = 10
12.7x + 10 = −39
Answer: x = −7
- Subtract 10 from both sides: 7x = −49
- Divide both sides by 7: x = −7
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.
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