Year 9 Solving Linear Equations Worksheet — Level 3 (Set 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 3 (Set 2) — Answers
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Solve each equation. Show every step and check your answer by substituting it back in.
1.8x + 3 = 2x − 27
Answer: x = −5
- Subtract 2x from both sides: 6x + 3 = −27
- Subtract 3: 6x = −30
- Divide by 6: x = −5
2.9x + 10 = x − 6
Answer: x = −2
- Subtract 1x from both sides: 8x + 10 = −6
- Subtract 10: 8x = −16
- Divide by 8: x = −2
3.6x + 10 = 5x + 3
Answer: x = −7
- Subtract 5x from both sides: x + 10 = 3
- Subtract 10: 1x = −7
- Divide by 1: x = −7
4.7x − 3 = 4x − 12
Answer: x = −3
- Subtract 4x from both sides: 3x − 3 = −12
- Add 3: 3x = −9
- Divide by 3: x = −3
5.5(x − 8) = −35
Answer: x = 1
- Expand: 5x − 40 = −35
- Add 40: 5x = 5
- Divide by 5: x = 1
6.6(x − 4) = −66
Answer: x = −7
- Expand: 6x − 24 = −66
- Add 24: 6x = −42
- Divide by 6: x = −7
7.3x − 4 = x + 4
Answer: x = 4
- Subtract 1x from both sides: 2x − 4 = 4
- Add 4: 2x = 8
- Divide by 2: x = 4
8.6x + 2 = 2x + 30
Answer: x = 7
- Subtract 2x from both sides: 4x + 2 = 30
- Subtract 2: 4x = 28
- Divide by 4: x = 7
9.6(x + 8) = 114
Answer: x = 11
- Expand: 6x + 48 = 114
- Subtract 48: 6x = 66
- Divide by 6: x = 11
10.3(x − 1) = −27
Answer: x = −8
- Expand: 3x − 3 = −27
- Add 3: 3x = −24
- Divide by 3: x = −8
11.9x + 10 = x − 14
Answer: x = −3
- Subtract 1x from both sides: 8x + 10 = −14
- Subtract 10: 8x = −24
- Divide by 8: x = −3
12.6x − 6 = x − 1
Answer: x = 1
- Subtract 1x from both sides: 5x − 6 = −1
- Add 6: 5x = 5
- Divide by 5: x = 1
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.