Year 9 Solving Linear Equations Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear EquationsYear 9 Solving Linear Equations Worksheet — Level 1 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x − 3 = 3
Answer: x = 6
- Add 3 to both sides
- x = 3 + 3 = 6
2.7x = 7
Answer: x = 1
- Divide both sides by 7
- x = 7 ÷ 7 = 1
3.x − 11 = −9
Answer: x = 2
- Add 11 to both sides
- x = −9 + 11 = 2
4.x + 17 = 18
Answer: x = 1
- Subtract 17 from both sides
- x = 18 − 17 = 1
5.x − 17 = −6
Answer: x = 11
- Add 17 to both sides
- x = −6 + 17 = 11
6.x − 1 = 4
Answer: x = 5
- Add 1 to both sides
- x = 4 + 1 = 5
7.x + 2 = 5
Answer: x = 3
- Subtract 2 from both sides
- x = 5 − 2 = 3
8.x − 19 = −9
Answer: x = 10
- Add 19 to both sides
- x = −9 + 19 = 10
9.x − 20 = −14
Answer: x = 6
- Add 20 to both sides
- x = −14 + 20 = 6
10.4x = 40
Answer: x = 10
- Divide both sides by 4
- x = 40 ÷ 4 = 10
11.7x = 28
Answer: x = 4
- Divide both sides by 7
- x = 28 ÷ 7 = 4
12.x + 13 = 22
Answer: x = 9
- Subtract 13 from both sides
- x = 22 − 13 = 9
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.