Year 10 Solving Linear Equations Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.2x − 13 = −17
Answer: x = −2
- Add 13 to both sides: 2x = −4
- Divide both sides by 2: x = −2
2.3x + 14 = 44
Answer: x = 10
- Subtract 14 from both sides: 3x = 30
- Divide both sides by 3: x = 10
3.8x − 6 = −78
Answer: x = −9
- Add 6 to both sides: 8x = −72
- Divide both sides by 8: x = −9
4.7x − 6 = 1
Answer: x = 1
- Add 6 to both sides: 7x = 7
- Divide both sides by 7: x = 1
5.7x − 5 = 37
Answer: x = 6
- Add 5 to both sides: 7x = 42
- Divide both sides by 7: x = 6
6.7x + 6 = −57
Answer: x = −9
- Subtract 6 from both sides: 7x = −63
- Divide both sides by 7: x = −9
7.8x − 7 = 1
Answer: x = 1
- Add 7 to both sides: 8x = 8
- Divide both sides by 8: x = 1
8.2x − 4 = 14
Answer: x = 9
- Add 4 to both sides: 2x = 18
- Divide both sides by 2: x = 9
9.4x − 9 = 27
Answer: x = 9
- Add 9 to both sides: 4x = 36
- Divide both sides by 4: x = 9
10.7x + 11 = −24
Answer: x = −5
- Subtract 11 from both sides: 7x = −35
- Divide both sides by 7: x = −5
11.5x + 6 = −24
Answer: x = −6
- Subtract 6 from both sides: 5x = −30
- Divide both sides by 5: x = −6
12.4x + 12 = 0
Answer: x = −3
- Subtract 12 from both sides: 4x = −12
- Divide both sides by 4: x = −3
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.