Year 11 Solving Linear Equations Worksheet — Level 1 — 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 1 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x + 17 = 20
Answer: x = 3
- Subtract 17 from both sides
- x = 20 − 17 = 3
2.x − 20 = −10
Answer: x = 10
- Add 20 to both sides
- x = −10 + 20 = 10
3.4x = 48
Answer: x = 12
- Divide both sides by 4
- x = 48 ÷ 4 = 12
4.x + 2 = 6
Answer: x = 4
- Subtract 2 from both sides
- x = 6 − 2 = 4
5.x + 11 = 14
Answer: x = 3
- Subtract 11 from both sides
- x = 14 − 11 = 3
6.x − 17 = −7
Answer: x = 10
- Add 17 to both sides
- x = −7 + 17 = 10
7.6x = 24
Answer: x = 4
- Divide both sides by 6
- x = 24 ÷ 6 = 4
8.x − 1 = 3
Answer: x = 4
- Add 1 to both sides
- x = 3 + 1 = 4
9.x − 15 = −3
Answer: x = 12
- Add 15 to both sides
- x = −3 + 15 = 12
10.9x = 18
Answer: x = 2
- Divide both sides by 9
- x = 18 ÷ 9 = 2
11.x − 16 = −14
Answer: x = 2
- Add 16 to both sides
- x = −14 + 16 = 2
12.x + 3 = 13
Answer: x = 10
- Subtract 3 from both sides
- x = 13 − 3 = 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.