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
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Solve each equation. Show every step and check your answer by substituting it back in.
1.2(x + 3) = −4
Answer: x = −5
- Expand: 2x + 6 = −4
- Subtract 6: 2x = −10
- Divide by 2: x = −5
2.4(x + 5) = −4
Answer: x = −6
- Expand: 4x + 20 = −4
- Subtract 20: 4x = −24
- Divide by 4: x = −6
3.4x + 6 = x + 15
Answer: x = 3
- Subtract 1x from both sides: 3x + 6 = 15
- Subtract 6: 3x = 9
- Divide by 3: x = 3
4.3(x + 4) = 15
Answer: x = 1
- Expand: 3x + 12 = 15
- Subtract 12: 3x = 3
- Divide by 3: x = 1
5.3x + 8 = 2x + 10
Answer: x = 2
- Subtract 2x from both sides: x + 8 = 10
- Subtract 8: 1x = 2
- Divide by 1: x = 2
6.4x − 4 = 3x − 13
Answer: x = −9
- Subtract 3x from both sides: x − 4 = −13
- Add 4: 1x = −9
- Divide by 1: x = −9
7.4(x − 6) = 0
Answer: x = 6
- Expand: 4x − 24 = 0
- Add 24: 4x = 24
- Divide by 4: x = 6
8.6(x − 3) = −24
Answer: x = −1
- Expand: 6x − 18 = −24
- Add 18: 6x = −6
- Divide by 6: x = −1
9.3(x − 4) = −36
Answer: x = −8
- Expand: 3x − 12 = −36
- Add 12: 3x = −24
- Divide by 3: x = −8
10.7x − 5 = 4x + 31
Answer: x = 12
- Subtract 4x from both sides: 3x − 5 = 31
- Add 5: 3x = 36
- Divide by 3: x = 12
11.6x + 6 = 2x − 26
Answer: x = −8
- Subtract 2x from both sides: 4x + 6 = −26
- Subtract 6: 4x = −32
- Divide by 4: x = −8
12.2(x − 6) = −4
Answer: x = 4
- Expand: 2x − 12 = −4
- Add 12: 2x = 8
- Divide by 2: x = 4
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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