Year 7 Solving Linear Equations Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.8x + 14 = 6
Answer: x = −1
- Subtract 14 from both sides: 8x = −8
- Divide both sides by 8: x = −1
2.5x − 4 = −9
Answer: x = −1
- Add 4 to both sides: 5x = −5
- Divide both sides by 5: x = −1
3.7x − 11 = −18
Answer: x = −1
- Add 11 to both sides: 7x = −7
- Divide both sides by 7: x = −1
4.6x + 1 = 7
Answer: x = 1
- Subtract 1 from both sides: 6x = 6
- Divide both sides by 6: x = 1
5.7x + 4 = 88
Answer: x = 12
- Subtract 4 from both sides: 7x = 84
- Divide both sides by 7: x = 12
6.8x + 14 = 22
Answer: x = 1
- Subtract 14 from both sides: 8x = 8
- Divide both sides by 8: x = 1
7.6x − 5 = 55
Answer: x = 10
- Add 5 to both sides: 6x = 60
- Divide both sides by 6: x = 10
8.3x + 10 = 28
Answer: x = 6
- Subtract 10 from both sides: 3x = 18
- Divide both sides by 3: x = 6
9.5x − 13 = −23
Answer: x = −2
- Add 13 to both sides: 5x = −10
- Divide both sides by 5: x = −2
10.3x + 5 = 35
Answer: x = 10
- Subtract 5 from both sides: 3x = 30
- Divide both sides by 3: x = 10
11.3x + 12 = 48
Answer: x = 12
- Subtract 12 from both sides: 3x = 36
- Divide both sides by 3: x = 12
12.6x + 9 = −45
Answer: x = −9
- Subtract 9 from both sides: 6x = −54
- Divide both sides by 6: x = −9
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.