Year 11 Solving Linear Equations Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 11 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Linear EquationsYear 11 Solving Linear Equations Worksheet — Level 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.7x − 6 = 36
Answer: x = 6
- Add 6 to both sides: 7x = 42
- Divide both sides by 7: x = 6
2.9x + 12 = −51
Answer: x = −7
- Subtract 12 from both sides: 9x = −63
- Divide both sides by 9: x = −7
3.8x − 13 = 67
Answer: x = 10
- Add 13 to both sides: 8x = 80
- Divide both sides by 8: x = 10
4.3x + 8 = −7
Answer: x = −5
- Subtract 8 from both sides: 3x = −15
- Divide both sides by 3: x = −5
5.2x − 3 = −1
Answer: x = 1
- Add 3 to both sides: 2x = 2
- Divide both sides by 2: x = 1
6.8x − 8 = −72
Answer: x = −8
- Add 8 to both sides: 8x = −64
- Divide both sides by 8: x = −8
7.9x − 1 = −73
Answer: x = −8
- Add 1 to both sides: 9x = −72
- Divide both sides by 9: x = −8
8.8x + 8 = 0
Answer: x = −1
- Subtract 8 from both sides: 8x = −8
- Divide both sides by 8: x = −1
9.9x + 14 = 5
Answer: x = −1
- Subtract 14 from both sides: 9x = −9
- Divide both sides by 9: x = −1
10.6x − 9 = −33
Answer: x = −4
- Add 9 to both sides: 6x = −24
- Divide both sides by 6: x = −4
11.3x − 11 = −8
Answer: x = 1
- Add 11 to both sides: 3x = 3
- Divide both sides by 3: x = 1
12.4x + 13 = 61
Answer: x = 12
- Subtract 13 from both sides: 4x = 48
- Divide both sides by 4: x = 12
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.