Year 9 Solving Linear Equations Worksheet — Level 2 — 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 2 — Practice Set 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.8x − 12 = 76
Answer: x = 11
- Add 12 to both sides: 8x = 88
- Divide both sides by 8: x = 11
2.9x + 14 = 41
Answer: x = 3
- Subtract 14 from both sides: 9x = 27
- Divide both sides by 9: x = 3
3.5x − 14 = −59
Answer: x = −9
- Add 14 to both sides: 5x = −45
- Divide both sides by 5: x = −9
4.9x + 15 = 114
Answer: x = 11
- Subtract 15 from both sides: 9x = 99
- Divide both sides by 9: x = 11
5.3x + 8 = 26
Answer: x = 6
- Subtract 8 from both sides: 3x = 18
- Divide both sides by 3: x = 6
6.6x + 6 = 66
Answer: x = 10
- Subtract 6 from both sides: 6x = 60
- Divide both sides by 6: x = 10
7.5x − 11 = −16
Answer: x = −1
- Add 11 to both sides: 5x = −5
- Divide both sides by 5: x = −1
8.5x + 5 = 20
Answer: x = 3
- Subtract 5 from both sides: 5x = 15
- Divide both sides by 5: x = 3
9.2x + 8 = 10
Answer: x = 1
- Subtract 8 from both sides: 2x = 2
- Divide both sides by 2: x = 1
10.2x + 10 = −8
Answer: x = −9
- Subtract 10 from both sides: 2x = −18
- Divide both sides by 2: x = −9
11.4x + 3 = −9
Answer: x = −3
- Subtract 3 from both sides: 4x = −12
- Divide both sides by 4: x = −3
12.4x − 12 = −20
Answer: x = −2
- Add 12 to both sides: 4x = −8
- Divide both sides by 4: x = −2
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.