Year 7 Solving Linear Equations Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.3x − 5 = −29
Answer: x = −8
- Add 5 to both sides: 3x = −24
- Divide both sides by 3: x = −8
2.5x + 6 = 16
Answer: x = 2
- Subtract 6 from both sides: 5x = 10
- Divide both sides by 5: x = 2
3.9x − 3 = −75
Answer: x = −8
- Add 3 to both sides: 9x = −72
- Divide both sides by 9: x = −8
4.4x + 3 = 43
Answer: x = 10
- Subtract 3 from both sides: 4x = 40
- Divide both sides by 4: x = 10
5.8x − 8 = 88
Answer: x = 12
- Add 8 to both sides: 8x = 96
- Divide both sides by 8: x = 12
6.5x − 11 = −21
Answer: x = −2
- Add 11 to both sides: 5x = −10
- Divide both sides by 5: x = −2
7.6x + 13 = 7
Answer: x = −1
- Subtract 13 from both sides: 6x = −6
- Divide both sides by 6: x = −1
8.5x + 13 = −17
Answer: x = −6
- Subtract 13 from both sides: 5x = −30
- Divide both sides by 5: x = −6
9.2x − 15 = −17
Answer: x = −1
- Add 15 to both sides: 2x = −2
- Divide both sides by 2: x = −1
10.8x + 9 = −7
Answer: x = −2
- Subtract 9 from both sides: 8x = −16
- Divide both sides by 8: x = −2
11.4x − 8 = 16
Answer: x = 6
- Add 8 to both sides: 4x = 24
- Divide both sides by 4: x = 6
12.6x − 9 = 33
Answer: x = 7
- Add 9 to both sides: 6x = 42
- Divide both sides by 6: x = 7
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.