Year 9 Solving Linear Equations Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Year 9 · Mathematics · Linear Equations
Year 9 Solving Linear Equations Worksheet — Level 2 — Answers
Success Tutoring
Solve each equation. Show every step and check your answer by substituting it back in.
1.6x − 1 = 29
Answer: x = 5
- Add 1 to both sides: 6x = 30
- Divide both sides by 6: x = 5
2.5x − 5 = 45
Answer: x = 10
- Add 5 to both sides: 5x = 50
- Divide both sides by 5: x = 10
3.3x − 6 = −15
Answer: x = −3
- Add 6 to both sides: 3x = −9
- Divide both sides by 3: x = −3
4.2x + 6 = −10
Answer: x = −8
- Subtract 6 from both sides: 2x = −16
- Divide both sides by 2: x = −8
5.2x − 2 = −14
Answer: x = −6
- Add 2 to both sides: 2x = −12
- Divide both sides by 2: x = −6
6.9x + 14 = 50
Answer: x = 4
- Subtract 14 from both sides: 9x = 36
- Divide both sides by 9: x = 4
7.2x + 5 = −1
Answer: x = −3
- Subtract 5 from both sides: 2x = −6
- Divide both sides by 2: x = −3
8.3x − 8 = −35
Answer: x = −9
- Add 8 to both sides: 3x = −27
- Divide both sides by 3: x = −9
9.8x + 10 = 74
Answer: x = 8
- Subtract 10 from both sides: 8x = 64
- Divide both sides by 8: x = 8
10.5x − 15 = 25
Answer: x = 8
- Add 15 to both sides: 5x = 40
- Divide both sides by 5: x = 8
11.4x + 8 = −8
Answer: x = −4
- Subtract 8 from both sides: 4x = −16
- Divide both sides by 4: x = −4
12.7x + 12 = −2
Answer: x = −2
- Subtract 12 from both sides: 7x = −14
- Divide both sides by 7: x = −2
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.