Year 11 Solving Linear Equations Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.3x − 14 = −35
Answer: x = −7
- Add 14 to both sides: 3x = −21
- Divide both sides by 3: x = −7
2.3x + 5 = 8
Answer: x = 1
- Subtract 5 from both sides: 3x = 3
- Divide both sides by 3: x = 1
3.6x − 11 = 13
Answer: x = 4
- Add 11 to both sides: 6x = 24
- Divide both sides by 6: x = 4
4.3x + 3 = 39
Answer: x = 12
- Subtract 3 from both sides: 3x = 36
- Divide both sides by 3: x = 12
5.2x − 13 = 9
Answer: x = 11
- Add 13 to both sides: 2x = 22
- Divide both sides by 2: x = 11
6.9x − 10 = 17
Answer: x = 3
- Add 10 to both sides: 9x = 27
- Divide both sides by 9: x = 3
7.9x + 15 = −66
Answer: x = −9
- Subtract 15 from both sides: 9x = −81
- Divide both sides by 9: x = −9
8.7x + 4 = 11
Answer: x = 1
- Subtract 4 from both sides: 7x = 7
- Divide both sides by 7: x = 1
9.3x − 14 = −17
Answer: x = −1
- Add 14 to both sides: 3x = −3
- Divide both sides by 3: x = −1
10.6x + 4 = 46
Answer: x = 7
- Subtract 4 from both sides: 6x = 42
- Divide both sides by 6: x = 7
11.5x − 4 = −19
Answer: x = −3
- Add 4 to both sides: 5x = −15
- Divide both sides by 5: x = −3
12.9x + 1 = −35
Answer: x = −4
- Subtract 1 from both sides: 9x = −36
- Divide both sides by 9: x = −4
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.