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.x − 1 = 1
Answer: x = 2
- Add 1 to both sides
- x = 1 + 1 = 2
2.x − 6 = −3
Answer: x = 3
- Add 6 to both sides
- x = −3 + 6 = 3
3.x − 10 = −2
Answer: x = 8
- Add 10 to both sides
- x = −2 + 10 = 8
4.3x = 27
Answer: x = 9
- Divide both sides by 3
- x = 27 ÷ 3 = 9
5.2x = 8
Answer: x = 4
- Divide both sides by 2
- x = 8 ÷ 2 = 4
6.x − 18 = −12
Answer: x = 6
- Add 18 to both sides
- x = −12 + 18 = 6
7.4x = 20
Answer: x = 5
- Divide both sides by 4
- x = 20 ÷ 4 = 5
8.x + 3 = 14
Answer: x = 11
- Subtract 3 from both sides
- x = 14 − 3 = 11
9.7x = 84
Answer: x = 12
- Divide both sides by 7
- x = 84 ÷ 7 = 12
10.x + 20 = 31
Answer: x = 11
- Subtract 20 from both sides
- x = 31 − 20 = 11
11.x − 18 = −7
Answer: x = 11
- Add 18 to both sides
- x = −7 + 18 = 11
12.x − 9 = −6
Answer: x = 3
- Add 9 to both sides
- x = −6 + 9 = 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.