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.
1.4(x + 8) = 80
Answer: x = 12
- Expand: 4x + 32 = 80
- Subtract 32: 4x = 48
- Divide by 4: x = 12
2.9x − 9 = 5x − 21
Answer: x = −3
- Subtract 5x from both sides: 4x − 9 = −21
- Add 9: 4x = −12
- Divide by 4: x = −3
3.4(x + 2) = 32
Answer: x = 6
- Expand: 4x + 8 = 32
- Subtract 8: 4x = 24
- Divide by 4: x = 6
4.5(x + 8) = 80
Answer: x = 8
- Expand: 5x + 40 = 80
- Subtract 40: 5x = 40
- Divide by 5: x = 8
5.4x − 8 = 2x + 10
Answer: x = 9
- Subtract 2x from both sides: 2x − 8 = 10
- Add 8: 2x = 18
- Divide by 2: x = 9
6.3(x − 7) = −9
Answer: x = 4
- Expand: 3x − 21 = −9
- Add 21: 3x = 12
- Divide by 3: x = 4
7.6x − 10 = 2x + 22
Answer: x = 8
- Subtract 2x from both sides: 4x − 10 = 22
- Add 10: 4x = 32
- Divide by 4: x = 8
8.5x − 10 = 2x + 14
Answer: x = 8
- Subtract 2x from both sides: 3x − 10 = 14
- Add 10: 3x = 24
- Divide by 3: x = 8
9.3(x − 6) = −39
Answer: x = −7
- Expand: 3x − 18 = −39
- Add 18: 3x = −21
- Divide by 3: x = −7
10.8x + 5 = 2x + 71
Answer: x = 11
- Subtract 2x from both sides: 6x + 5 = 71
- Subtract 5: 6x = 66
- Divide by 6: x = 11
11.2(x − 1) = 10
Answer: x = 6
- Expand: 2x − 2 = 10
- Add 2: 2x = 12
- Divide by 2: x = 6
12.8x + 10 = 2x + 64
Answer: x = 9
- Subtract 2x from both sides: 6x + 10 = 64
- Subtract 10: 6x = 54
- Divide by 6: x = 9
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.