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.
1.6x − 4 = −28
Answer: x = −4
- Add 4 to both sides: 6x = −24
- Divide both sides by 6: x = −4
2.6x + 1 = 31
Answer: x = 5
- Subtract 1 from both sides: 6x = 30
- Divide both sides by 6: x = 5
3.7x + 4 = 67
Answer: x = 9
- Subtract 4 from both sides: 7x = 63
- Divide both sides by 7: x = 9
4.5x − 12 = −42
Answer: x = −6
- Add 12 to both sides: 5x = −30
- Divide both sides by 5: x = −6
5.2x + 7 = −1
Answer: x = −4
- Subtract 7 from both sides: 2x = −8
- Divide both sides by 2: x = −4
6.2x + 8 = 0
Answer: x = −4
- Subtract 8 from both sides: 2x = −8
- Divide both sides by 2: x = −4
7.8x − 15 = 81
Answer: x = 12
- Add 15 to both sides: 8x = 96
- Divide both sides by 8: x = 12
8.9x − 4 = 23
Answer: x = 3
- Add 4 to both sides: 9x = 27
- Divide both sides by 9: x = 3
9.9x − 15 = 93
Answer: x = 12
- Add 15 to both sides: 9x = 108
- Divide both sides by 9: x = 12
10.6x − 3 = 57
Answer: x = 10
- Add 3 to both sides: 6x = 60
- Divide both sides by 6: x = 10
11.3x − 12 = −36
Answer: x = −8
- Add 12 to both sides: 3x = −24
- Divide both sides by 3: x = −8
12.3x + 1 = −14
Answer: x = −5
- Subtract 1 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.