Year 9 Solving Linear Equations Worksheet — Level 3 — 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 3 — Answers
Success Tutoring
Solve each equation. Show every step and check your answer by substituting it back in.
1.2(x − 5) = −8
Answer: x = 1
- Expand: 2x − 10 = −8
- Add 10: 2x = 2
- Divide by 2: x = 1
2.3(x + 8) = 3
Answer: x = −7
- Expand: 3x + 24 = 3
- Subtract 24: 3x = −21
- Divide by 3: x = −7
3.8x − 7 = x − 21
Answer: x = −2
- Subtract 1x from both sides: 7x − 7 = −21
- Add 7: 7x = −14
- Divide by 7: x = −2
4.4x − 3 = x + 6
Answer: x = 3
- Subtract 1x from both sides: 3x − 3 = 6
- Add 3: 3x = 9
- Divide by 3: x = 3
5.5(x + 3) = 70
Answer: x = 11
- Expand: 5x + 15 = 70
- Subtract 15: 5x = 55
- Divide by 5: x = 11
6.4(x − 1) = −28
Answer: x = −6
- Expand: 4x − 4 = −28
- Add 4: 4x = −24
- Divide by 4: x = −6
7.9x + 1 = 6x + 25
Answer: x = 8
- Subtract 6x from both sides: 3x + 1 = 25
- Subtract 1: 3x = 24
- Divide by 3: x = 8
8.6(x + 1) = −42
Answer: x = −8
- Expand: 6x + 6 = −42
- Subtract 6: 6x = −48
- Divide by 6: x = −8
9.4(x + 2) = −8
Answer: x = −4
- Expand: 4x + 8 = −8
- Subtract 8: 4x = −16
- Divide by 4: x = −4
10.8x − 6 = 2x + 24
Answer: x = 5
- Subtract 2x from both sides: 6x − 6 = 24
- Add 6: 6x = 30
- Divide by 6: x = 5
11.2(x + 7) = −4
Answer: x = −9
- Expand: 2x + 14 = −4
- Subtract 14: 2x = −18
- Divide by 2: x = −9
12.7x − 6 = 6x − 4
Answer: x = 2
- Subtract 6x from both sides: x − 6 = −4
- Add 6: 1x = 2
- Divide by 1: 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.
Great work. Here's what to try next: