Year 9 Solving Linear Equations Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.4x = 24
Answer: x = 6
- Divide both sides by 4
- x = 24 ÷ 4 = 6
2.x + 5 = 11
Answer: x = 6
- Subtract 5 from both sides
- x = 11 − 5 = 6
3.x − 18 = −14
Answer: x = 4
- Add 18 to both sides
- x = −14 + 18 = 4
4.7x = 56
Answer: x = 8
- Divide both sides by 7
- x = 56 ÷ 7 = 8
5.4x = 12
Answer: x = 3
- Divide both sides by 4
- x = 12 ÷ 4 = 3
6.x − 2 = 9
Answer: x = 11
- Add 2 to both sides
- x = 9 + 2 = 11
7.6x = 54
Answer: x = 9
- Divide both sides by 6
- x = 54 ÷ 6 = 9
8.x − 13 = −3
Answer: x = 10
- Add 13 to both sides
- x = −3 + 13 = 10
9.x + 12 = 14
Answer: x = 2
- Subtract 12 from both sides
- x = 14 − 12 = 2
10.6x = 24
Answer: x = 4
- Divide both sides by 6
- x = 24 ÷ 6 = 4
11.x + 3 = 5
Answer: x = 2
- Subtract 3 from both sides
- x = 5 − 3 = 2
12.x − 2 = 10
Answer: x = 12
- Add 2 to both sides
- x = 10 + 2 = 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.