Year 11 Solving Linear Equations Worksheet — Level 1 — Practice Set 4 — 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 — Practice Set 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.6x = 42
Answer: x = 7
- Divide both sides by 6
- x = 42 ÷ 6 = 7
2.x − 11 = 1
Answer: x = 12
- Add 11 to both sides
- x = 1 + 11 = 12
3.5x = 20
Answer: x = 4
- Divide both sides by 5
- x = 20 ÷ 5 = 4
4.x + 3 = 10
Answer: x = 7
- Subtract 3 from both sides
- x = 10 − 3 = 7
5.x − 10 = 2
Answer: x = 12
- Add 10 to both sides
- x = 2 + 10 = 12
6.3x = 12
Answer: x = 4
- Divide both sides by 3
- x = 12 ÷ 3 = 4
7.2x = 24
Answer: x = 12
- Divide both sides by 2
- x = 24 ÷ 2 = 12
8.x − 17 = −7
Answer: x = 10
- Add 17 to both sides
- x = −7 + 17 = 10
9.9x = 45
Answer: x = 5
- Divide both sides by 9
- x = 45 ÷ 9 = 5
10.x − 4 = −2
Answer: x = 2
- Add 4 to both sides
- x = −2 + 4 = 2
11.x + 8 = 14
Answer: x = 6
- Subtract 8 from both sides
- x = 14 − 8 = 6
12.x + 5 = 13
Answer: x = 8
- Subtract 5 from both sides
- x = 13 − 5 = 8
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.