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 + 15 = 3
Answer: x = −3
- Subtract 15 from both sides: 4x = −12
- Divide both sides by 4: x = −3
2.2x + 4 = 10
Answer: x = 3
- Subtract 4 from both sides: 2x = 6
- Divide both sides by 2: x = 3
3.6x + 11 = −31
Answer: x = −7
- Subtract 11 from both sides: 6x = −42
- Divide both sides by 6: x = −7
4.3x + 14 = 44
Answer: x = 10
- Subtract 14 from both sides: 3x = 30
- Divide both sides by 3: x = 10
5.7x + 8 = −41
Answer: x = −7
- Subtract 8 from both sides: 7x = −49
- Divide both sides by 7: x = −7
6.3x − 3 = 6
Answer: x = 3
- Add 3 to both sides: 3x = 9
- Divide both sides by 3: x = 3
7.2x + 7 = 9
Answer: x = 1
- Subtract 7 from both sides: 2x = 2
- Divide both sides by 2: x = 1
8.8x + 14 = 38
Answer: x = 3
- Subtract 14 from both sides: 8x = 24
- Divide both sides by 8: x = 3
9.4x − 8 = 20
Answer: x = 7
- Add 8 to both sides: 4x = 28
- Divide both sides by 4: x = 7
10.4x − 6 = 42
Answer: x = 12
- Add 6 to both sides: 4x = 48
- Divide both sides by 4: x = 12
11.8x − 5 = −69
Answer: x = −8
- Add 5 to both sides: 8x = −64
- Divide both sides by 8: x = −8
12.7x − 5 = −40
Answer: x = −5
- Add 5 to both sides: 7x = −35
- Divide both sides by 7: 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.