Year 9 Solving Linear Equations Worksheet — Level 2 — 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 2 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.7x − 3 = 74
Answer: x = 11
- Add 3 to both sides: 7x = 77
- Divide both sides by 7: x = 11
2.8x + 13 = 29
Answer: x = 2
- Subtract 13 from both sides: 8x = 16
- Divide both sides by 8: x = 2
3.2x − 8 = −22
Answer: x = −7
- Add 8 to both sides: 2x = −14
- Divide both sides by 2: x = −7
4.2x − 11 = −7
Answer: x = 2
- Add 11 to both sides: 2x = 4
- Divide both sides by 2: x = 2
5.7x − 12 = 72
Answer: x = 12
- Add 12 to both sides: 7x = 84
- Divide both sides by 7: x = 12
6.7x + 13 = 34
Answer: x = 3
- Subtract 13 from both sides: 7x = 21
- Divide both sides by 7: x = 3
7.8x + 2 = −54
Answer: x = −7
- Subtract 2 from both sides: 8x = −56
- Divide both sides by 8: x = −7
8.4x − 8 = 20
Answer: x = 7
- Add 8 to both sides: 4x = 28
- Divide both sides by 4: x = 7
9.7x − 5 = −47
Answer: x = −6
- Add 5 to both sides: 7x = −42
- Divide both sides by 7: x = −6
10.8x − 10 = 70
Answer: x = 10
- Add 10 to both sides: 8x = 80
- Divide both sides by 8: x = 10
11.3x + 9 = 27
Answer: x = 6
- Subtract 9 from both sides: 3x = 18
- Divide both sides by 3: x = 6
12.7x + 15 = −20
Answer: x = −5
- Subtract 15 from both sides: 7x = −35
- Divide both sides by 7: x = −5
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.