Year 7 Solving Linear Equations Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 7 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Linear EquationsYear 7 Solving Linear Equations Worksheet — Level 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.9x − 11 = 25
Answer: x = 4
- Add 11 to both sides: 9x = 36
- Divide both sides by 9: x = 4
2.6x − 4 = 2
Answer: x = 1
- Add 4 to both sides: 6x = 6
- Divide both sides by 6: x = 1
3.5x − 13 = −33
Answer: x = −4
- Add 13 to both sides: 5x = −20
- Divide both sides by 5: x = −4
4.7x − 6 = 8
Answer: x = 2
- Add 6 to both sides: 7x = 14
- Divide both sides by 7: x = 2
5.9x + 1 = −35
Answer: x = −4
- Subtract 1 from both sides: 9x = −36
- Divide both sides by 9: x = −4
6.6x − 12 = 0
Answer: x = 2
- Add 12 to both sides: 6x = 12
- Divide both sides by 6: x = 2
7.6x − 15 = −51
Answer: x = −6
- Add 15 to both sides: 6x = −36
- Divide both sides by 6: x = −6
8.8x + 13 = 29
Answer: x = 2
- Subtract 13 from both sides: 8x = 16
- Divide both sides by 8: x = 2
9.8x + 3 = −5
Answer: x = −1
- Subtract 3 from both sides: 8x = −8
- Divide both sides by 8: x = −1
10.8x + 13 = 77
Answer: x = 8
- Subtract 13 from both sides: 8x = 64
- Divide both sides by 8: x = 8
11.7x + 6 = 20
Answer: x = 2
- Subtract 6 from both sides: 7x = 14
- Divide both sides by 7: x = 2
12.8x + 7 = −57
Answer: x = −8
- Subtract 7 from both sides: 8x = −64
- Divide both sides by 8: x = −8
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.