Year 9 Solving Linear Equations Worksheet — Level 1 — Practice Set 2 — 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 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x + 13 = 18
Answer: x = 5
- Subtract 13 from both sides
- x = 18 − 13 = 5
2.3x = 3
Answer: x = 1
- Divide both sides by 3
- x = 3 ÷ 3 = 1
3.x + 15 = 21
Answer: x = 6
- Subtract 15 from both sides
- x = 21 − 15 = 6
4.x − 3 = 3
Answer: x = 6
- Add 3 to both sides
- x = 3 + 3 = 6
5.x − 8 = −7
Answer: x = 1
- Add 8 to both sides
- x = −7 + 8 = 1
6.x + 10 = 20
Answer: x = 10
- Subtract 10 from both sides
- x = 20 − 10 = 10
7.8x = 24
Answer: x = 3
- Divide both sides by 8
- x = 24 ÷ 8 = 3
8.5x = 60
Answer: x = 12
- Divide both sides by 5
- x = 60 ÷ 5 = 12
9.x + 11 = 20
Answer: x = 9
- Subtract 11 from both sides
- x = 20 − 11 = 9
10.x + 9 = 18
Answer: x = 9
- Subtract 9 from both sides
- x = 18 − 9 = 9
11.5x = 40
Answer: x = 8
- Divide both sides by 5
- x = 40 ÷ 5 = 8
12.x − 14 = −6
Answer: x = 8
- Add 14 to both sides
- x = −6 + 14 = 8
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.