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.
1.4x = 40
Answer: x = 10
- Divide both sides by 4
- x = 40 ÷ 4 = 10
2.x + 7 = 16
Answer: x = 9
- Subtract 7 from both sides
- x = 16 − 7 = 9
3.x − 1 = 4
Answer: x = 5
- Add 1 to both sides
- x = 4 + 1 = 5
4.x − 4 = −1
Answer: x = 3
- Add 4 to both sides
- x = −1 + 4 = 3
5.x + 9 = 17
Answer: x = 8
- Subtract 9 from both sides
- x = 17 − 9 = 8
6.x − 11 = −3
Answer: x = 8
- Add 11 to both sides
- x = −3 + 11 = 8
7.x + 10 = 15
Answer: x = 5
- Subtract 10 from both sides
- x = 15 − 10 = 5
8.2x = 18
Answer: x = 9
- Divide both sides by 2
- x = 18 ÷ 2 = 9
9.x − 13 = −8
Answer: x = 5
- Add 13 to both sides
- x = −8 + 13 = 5
10.9x = 54
Answer: x = 6
- Divide both sides by 9
- x = 54 ÷ 9 = 6
11.9x = 45
Answer: x = 5
- Divide both sides by 9
- x = 45 ÷ 9 = 5
12.7x = 84
Answer: x = 12
- Divide both sides by 7
- x = 84 ÷ 7 = 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.