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.
1.7x = 63
Answer: x = 9
- Divide both sides by 7
- x = 63 ÷ 7 = 9
2.7x = 70
Answer: x = 10
- Divide both sides by 7
- x = 70 ÷ 7 = 10
3.x − 15 = −5
Answer: x = 10
- Add 15 to both sides
- x = −5 + 15 = 10
4.2x = 8
Answer: x = 4
- Divide both sides by 2
- x = 8 ÷ 2 = 4
5.7x = 21
Answer: x = 3
- Divide both sides by 7
- x = 21 ÷ 7 = 3
6.4x = 4
Answer: x = 1
- Divide both sides by 4
- x = 4 ÷ 4 = 1
7.x + 15 = 25
Answer: x = 10
- Subtract 15 from both sides
- x = 25 − 15 = 10
8.x − 6 = −4
Answer: x = 2
- Add 6 to both sides
- x = −4 + 6 = 2
9.4x = 48
Answer: x = 12
- Divide both sides by 4
- x = 48 ÷ 4 = 12
10.x − 20 = −12
Answer: x = 8
- Add 20 to both sides
- x = −12 + 20 = 8
11.x − 12 = −9
Answer: x = 3
- Add 12 to both sides
- x = −9 + 12 = 3
12.3x = 9
Answer: x = 3
- Divide both sides by 3
- x = 9 ÷ 3 = 3
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.