Year 10 Solving Linear Equations Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Year 10 · Mathematics · Linear Equations
Year 10 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 + 7) = 8
Answer: x = −3
- Expand: 2x + 14 = 8
- Subtract 14: 2x = −6
- Divide by 2: x = −3
2.6(x + 6) = 48
Answer: x = 2
- Expand: 6x + 36 = 48
- Subtract 36: 6x = 12
- Divide by 6: x = 2
3.6x − 8 = 3x + 7
Answer: x = 5
- Subtract 3x from both sides: 3x − 8 = 7
- Add 8: 3x = 15
- Divide by 3: x = 5
4.4(x + 2) = −12
Answer: x = −5
- Expand: 4x + 8 = −12
- Subtract 8: 4x = −20
- Divide by 4: x = −5
5.4(x − 8) = −40
Answer: x = −2
- Expand: 4x − 32 = −40
- Add 32: 4x = −8
- Divide by 4: x = −2
6.6x + 10 = 2x + 14
Answer: x = 1
- Subtract 2x from both sides: 4x + 10 = 14
- Subtract 10: 4x = 4
- Divide by 4: x = 1
7.9x + 3 = 7x + 21
Answer: x = 9
- Subtract 7x from both sides: 2x + 3 = 21
- Subtract 3: 2x = 18
- Divide by 2: x = 9
8.6(x + 3) = −12
Answer: x = −5
- Expand: 6x + 18 = −12
- Subtract 18: 6x = −30
- Divide by 6: x = −5
9.3x − 8 = 2x − 6
Answer: x = 2
- Subtract 2x from both sides: x − 8 = −6
- Add 8: 1x = 2
- Divide by 1: x = 2
10.3x − 8 = 2x − 15
Answer: x = −7
- Subtract 2x from both sides: x − 8 = −15
- Add 8: 1x = −7
- Divide by 1: x = −7
11.4(x − 1) = −36
Answer: x = −8
- Expand: 4x − 4 = −36
- Add 4: 4x = −32
- Divide by 4: x = −8
12.6(x − 3) = −6
Answer: x = 2
- Expand: 6x − 18 = −6
- Add 18: 6x = 12
- Divide by 6: 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.
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