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.
1.2x + 5 = −1
Answer: x = −3
- Subtract 5 from both sides: 2x = −6
- Divide both sides by 2: x = −3
2.7x + 4 = 25
Answer: x = 3
- Subtract 4 from both sides: 7x = 21
- Divide both sides by 7: x = 3
3.8x + 7 = 39
Answer: x = 4
- Subtract 7 from both sides: 8x = 32
- Divide both sides by 8: x = 4
4.9x − 11 = −47
Answer: x = −4
- Add 11 to both sides: 9x = −36
- Divide both sides by 9: x = −4
5.9x − 10 = 98
Answer: x = 12
- Add 10 to both sides: 9x = 108
- Divide both sides by 9: x = 12
6.9x − 1 = 89
Answer: x = 10
- Add 1 to both sides: 9x = 90
- Divide both sides by 9: x = 10
7.4x − 6 = −26
Answer: x = −5
- Add 6 to both sides: 4x = −20
- Divide both sides by 4: x = −5
8.4x + 12 = 4
Answer: x = −2
- Subtract 12 from both sides: 4x = −8
- Divide both sides by 4: x = −2
9.2x − 9 = 15
Answer: x = 12
- Add 9 to both sides: 2x = 24
- Divide both sides by 2: x = 12
10.9x + 13 = 49
Answer: x = 4
- Subtract 13 from both sides: 9x = 36
- Divide both sides by 9: x = 4
11.3x + 4 = 16
Answer: x = 4
- Subtract 4 from both sides: 3x = 12
- Divide both sides by 3: x = 4
12.5x − 11 = −1
Answer: x = 2
- Add 11 to both sides: 5x = 10
- Divide both sides by 5: 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.