Year 11 Solving Linear Equations Worksheet — Level 1 — 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 1 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x + 8 = 11
Answer: x = 3
- Subtract 8 from both sides
- x = 11 − 8 = 3
2.x + 1 = 6
Answer: x = 5
- Subtract 1 from both sides
- x = 6 − 1 = 5
3.x + 7 = 19
Answer: x = 12
- Subtract 7 from both sides
- x = 19 − 7 = 12
4.6x = 72
Answer: x = 12
- Divide both sides by 6
- x = 72 ÷ 6 = 12
5.x − 12 = −7
Answer: x = 5
- Add 12 to both sides
- x = −7 + 12 = 5
6.5x = 60
Answer: x = 12
- Divide both sides by 5
- x = 60 ÷ 5 = 12
7.x − 7 = −1
Answer: x = 6
- Add 7 to both sides
- x = −1 + 7 = 6
8.4x = 16
Answer: x = 4
- Divide both sides by 4
- x = 16 ÷ 4 = 4
9.x + 5 = 15
Answer: x = 10
- Subtract 5 from both sides
- x = 15 − 5 = 10
10.x − 2 = 7
Answer: x = 9
- Add 2 to both sides
- x = 7 + 2 = 9
11.x − 20 = −11
Answer: x = 9
- Add 20 to both sides
- x = −11 + 20 = 9
12.9x = 108
Answer: x = 12
- Divide both sides by 9
- x = 108 ÷ 9 = 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.