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.
1.5x + 5 = 10
Answer: x = 1
- Subtract 5 from both sides: 5x = 5
- Divide both sides by 5: x = 1
2.7x + 10 = 3
Answer: x = −1
- Subtract 10 from both sides: 7x = −7
- Divide both sides by 7: x = −1
3.3x − 6 = −9
Answer: x = −1
- Add 6 to both sides: 3x = −3
- Divide both sides by 3: x = −1
4.9x − 9 = 27
Answer: x = 4
- Add 9 to both sides: 9x = 36
- Divide both sides by 9: x = 4
5.8x + 4 = 60
Answer: x = 7
- Subtract 4 from both sides: 8x = 56
- Divide both sides by 8: x = 7
6.8x + 10 = −62
Answer: x = −9
- Subtract 10 from both sides: 8x = −72
- Divide both sides by 8: x = −9
7.6x + 14 = −34
Answer: x = −8
- Subtract 14 from both sides: 6x = −48
- Divide both sides by 6: x = −8
8.3x − 1 = −13
Answer: x = −4
- Add 1 to both sides: 3x = −12
- Divide both sides by 3: x = −4
9.6x + 9 = −45
Answer: x = −9
- Subtract 9 from both sides: 6x = −54
- Divide both sides by 6: x = −9
10.3x − 8 = −29
Answer: x = −7
- Add 8 to both sides: 3x = −21
- Divide both sides by 3: x = −7
11.8x + 4 = 92
Answer: x = 11
- Subtract 4 from both sides: 8x = 88
- Divide both sides by 8: x = 11
12.5x + 5 = 20
Answer: x = 3
- Subtract 5 from both sides: 5x = 15
- Divide both sides by 5: 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.