Year 11 Solving Linear Equations Worksheet — Level 1 — 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 1 — Practice Set 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x − 2 = 5
Answer: x = 7
- Add 2 to both sides
- x = 5 + 2 = 7
2.x − 15 = −13
Answer: x = 2
- Add 15 to both sides
- x = −13 + 15 = 2
3.x + 19 = 25
Answer: x = 6
- Subtract 19 from both sides
- x = 25 − 19 = 6
4.x − 16 = −13
Answer: x = 3
- Add 16 to both sides
- x = −13 + 16 = 3
5.4x = 36
Answer: x = 9
- Divide both sides by 4
- x = 36 ÷ 4 = 9
6.x + 5 = 17
Answer: x = 12
- Subtract 5 from both sides
- x = 17 − 5 = 12
7.3x = 6
Answer: x = 2
- Divide both sides by 3
- x = 6 ÷ 3 = 2
8.x + 9 = 17
Answer: x = 8
- Subtract 9 from both sides
- x = 17 − 9 = 8
9.x + 15 = 19
Answer: x = 4
- Subtract 15 from both sides
- x = 19 − 15 = 4
10.2x = 18
Answer: x = 9
- Divide both sides by 2
- x = 18 ÷ 2 = 9
11.x − 6 = −1
Answer: x = 5
- Add 6 to both sides
- x = −1 + 6 = 5
12.x − 16 = −6
Answer: x = 10
- Add 16 to both sides
- x = −6 + 16 = 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.