Year 10 Solving Linear Equations Worksheet — Level 2 — Practice Set 3 — 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 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.5x − 8 = 42
Answer: x = 10
- Add 8 to both sides: 5x = 50
- Divide both sides by 5: x = 10
2.2x + 14 = 4
Answer: x = −5
- Subtract 14 from both sides: 2x = −10
- Divide both sides by 2: x = −5
3.7x + 3 = 52
Answer: x = 7
- Subtract 3 from both sides: 7x = 49
- Divide both sides by 7: x = 7
4.2x + 6 = 24
Answer: x = 9
- Subtract 6 from both sides: 2x = 18
- Divide both sides by 2: x = 9
5.5x − 5 = −25
Answer: x = −4
- Add 5 to both sides: 5x = −20
- Divide both sides by 5: x = −4
6.5x + 3 = −37
Answer: x = −8
- Subtract 3 from both sides: 5x = −40
- Divide both sides by 5: x = −8
7.7x − 14 = 42
Answer: x = 8
- Add 14 to both sides: 7x = 56
- Divide both sides by 7: x = 8
8.8x − 7 = −23
Answer: x = −2
- Add 7 to both sides: 8x = −16
- Divide both sides by 8: x = −2
9.2x − 12 = −18
Answer: x = −3
- Add 12 to both sides: 2x = −6
- Divide both sides by 2: x = −3
10.8x + 3 = −45
Answer: x = −6
- Subtract 3 from both sides: 8x = −48
- Divide both sides by 8: x = −6
11.2x − 5 = 15
Answer: x = 10
- Add 5 to both sides: 2x = 20
- Divide both sides by 2: x = 10
12.4x − 13 = −33
Answer: x = −5
- Add 13 to both sides: 4x = −20
- Divide both sides by 4: x = −5
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.