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.
1.3x + 11 = 26
Answer: x = 5
- Subtract 11 from both sides: 3x = 15
- Divide both sides by 3: x = 5
2.4x − 9 = −41
Answer: x = −8
- Add 9 to both sides: 4x = −32
- Divide both sides by 4: x = −8
3.8x + 3 = 11
Answer: x = 1
- Subtract 3 from both sides: 8x = 8
- Divide both sides by 8: x = 1
4.3x − 15 = −42
Answer: x = −9
- Add 15 to both sides: 3x = −27
- Divide both sides by 3: x = −9
5.8x − 9 = 47
Answer: x = 7
- Add 9 to both sides: 8x = 56
- Divide both sides by 8: x = 7
6.6x + 3 = 75
Answer: x = 12
- Subtract 3 from both sides: 6x = 72
- Divide both sides by 6: x = 12
7.5x + 3 = −7
Answer: x = −2
- Subtract 3 from both sides: 5x = −10
- Divide both sides by 5: x = −2
8.8x + 6 = 78
Answer: x = 9
- Subtract 6 from both sides: 8x = 72
- Divide both sides by 8: x = 9
9.7x + 8 = 43
Answer: x = 5
- Subtract 8 from both sides: 7x = 35
- Divide both sides by 7: x = 5
10.6x − 10 = −64
Answer: x = −9
- Add 10 to both sides: 6x = −54
- Divide both sides by 6: x = −9
11.6x + 1 = 67
Answer: x = 11
- Subtract 1 from both sides: 6x = 66
- Divide both sides by 6: x = 11
12.7x − 10 = −3
Answer: x = 1
- Add 10 to both sides: 7x = 7
- Divide both sides by 7: x = 1
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.