Year 10 Solving Linear Equations Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.9x + 14 = −4
Answer: x = −2
- Subtract 14 from both sides: 9x = −18
- Divide both sides by 9: x = −2
2.4x + 8 = −28
Answer: x = −9
- Subtract 8 from both sides: 4x = −36
- Divide both sides by 4: x = −9
3.7x − 14 = −35
Answer: x = −3
- Add 14 to both sides: 7x = −21
- Divide both sides by 7: x = −3
4.8x + 8 = 64
Answer: x = 7
- Subtract 8 from both sides: 8x = 56
- Divide both sides by 8: x = 7
5.2x − 12 = 8
Answer: x = 10
- Add 12 to both sides: 2x = 20
- Divide both sides by 2: x = 10
6.7x + 14 = 77
Answer: x = 9
- Subtract 14 from both sides: 7x = 63
- Divide both sides by 7: x = 9
7.5x + 4 = −41
Answer: x = −9
- Subtract 4 from both sides: 5x = −45
- Divide both sides by 5: x = −9
8.8x − 13 = 51
Answer: x = 8
- Add 13 to both sides: 8x = 64
- Divide both sides by 8: x = 8
9.3x + 14 = 20
Answer: x = 2
- Subtract 14 from both sides: 3x = 6
- Divide both sides by 3: x = 2
10.2x + 13 = 17
Answer: x = 2
- Subtract 13 from both sides: 2x = 4
- Divide both sides by 2: x = 2
11.8x + 11 = 3
Answer: x = −1
- Subtract 11 from both sides: 8x = −8
- Divide both sides by 8: x = −1
12.8x − 15 = −47
Answer: x = −4
- Add 15 to both sides: 8x = −32
- Divide both sides by 8: 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.