Year 10 Solving Linear Equations Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 Solving Linear Equations Worksheet — Level 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.4x − 12 = −36
Answer: x = −6
- Add 12 to both sides: 4x = −24
- Divide both sides by 4: x = −6
2.2x + 1 = −5
Answer: x = −3
- Subtract 1 from both sides: 2x = −6
- Divide both sides by 2: x = −3
3.7x + 14 = 28
Answer: x = 2
- Subtract 14 from both sides: 7x = 14
- Divide both sides by 7: x = 2
4.8x + 9 = −47
Answer: x = −7
- Subtract 9 from both sides: 8x = −56
- Divide both sides by 8: x = −7
5.8x + 5 = −43
Answer: x = −6
- Subtract 5 from both sides: 8x = −48
- Divide both sides by 8: x = −6
6.6x − 4 = −52
Answer: x = −8
- Add 4 to both sides: 6x = −48
- Divide both sides by 6: x = −8
7.4x − 5 = −29
Answer: x = −6
- Add 5 to both sides: 4x = −24
- Divide both sides by 4: x = −6
8.3x + 5 = 38
Answer: x = 11
- Subtract 5 from both sides: 3x = 33
- Divide both sides by 3: x = 11
9.8x + 3 = 11
Answer: x = 1
- Subtract 3 from both sides: 8x = 8
- Divide both sides by 8: x = 1
10.2x + 11 = 9
Answer: x = −1
- Subtract 11 from both sides: 2x = −2
- Divide both sides by 2: x = −1
11.9x − 1 = −37
Answer: x = −4
- Add 1 to both sides: 9x = −36
- Divide both sides by 9: x = −4
12.3x − 6 = −24
Answer: x = −6
- Add 6 to both sides: 3x = −18
- Divide both sides by 3: x = −6
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.