Year 11 Solving Linear Equations Worksheet — Level 2 — Practice Set 3 — 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 — Practice Set 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.9x + 9 = 90
Answer: x = 9
- Subtract 9 from both sides: 9x = 81
- Divide both sides by 9: x = 9
2.8x − 3 = 29
Answer: x = 4
- Add 3 to both sides: 8x = 32
- Divide both sides by 8: x = 4
3.7x − 12 = −61
Answer: x = −7
- Add 12 to both sides: 7x = −49
- Divide both sides by 7: x = −7
4.7x + 4 = 39
Answer: x = 5
- Subtract 4 from both sides: 7x = 35
- Divide both sides by 7: x = 5
5.9x + 8 = 98
Answer: x = 10
- Subtract 8 from both sides: 9x = 90
- Divide both sides by 9: x = 10
6.6x + 7 = −5
Answer: x = −2
- Subtract 7 from both sides: 6x = −12
- Divide both sides by 6: x = −2
7.2x − 14 = −24
Answer: x = −5
- Add 14 to both sides: 2x = −10
- Divide both sides by 2: x = −5
8.8x − 7 = 89
Answer: x = 12
- Add 7 to both sides: 8x = 96
- Divide both sides by 8: x = 12
9.7x − 10 = −3
Answer: x = 1
- Add 10 to both sides: 7x = 7
- Divide both sides by 7: x = 1
10.6x + 2 = 50
Answer: x = 8
- Subtract 2 from both sides: 6x = 48
- Divide both sides by 6: x = 8
11.7x + 7 = 56
Answer: x = 7
- Subtract 7 from both sides: 7x = 49
- Divide both sides by 7: x = 7
12.9x − 9 = 81
Answer: x = 10
- Add 9 to both sides: 9x = 90
- Divide both sides by 9: x = 10
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.