Year 7 Solving Linear Equations Worksheet — Level 2 — Practice Set 3 — 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 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.4x − 10 = 26
Answer: x = 9
- Add 10 to both sides: 4x = 36
- Divide both sides by 4: x = 9
2.3x + 11 = 17
Answer: x = 2
- Subtract 11 from both sides: 3x = 6
- Divide both sides by 3: x = 2
3.4x − 14 = 14
Answer: x = 7
- Add 14 to both sides: 4x = 28
- Divide both sides by 4: x = 7
4.3x − 7 = −4
Answer: x = 1
- Add 7 to both sides: 3x = 3
- Divide both sides by 3: x = 1
5.4x + 2 = −18
Answer: x = −5
- Subtract 2 from both sides: 4x = −20
- Divide both sides by 4: x = −5
6.9x − 15 = −51
Answer: x = −4
- Add 15 to both sides: 9x = −36
- Divide both sides by 9: x = −4
7.7x + 1 = 57
Answer: x = 8
- Subtract 1 from both sides: 7x = 56
- Divide both sides by 7: x = 8
8.5x + 11 = −19
Answer: x = −6
- Subtract 11 from both sides: 5x = −30
- Divide both sides by 5: x = −6
9.4x − 12 = −24
Answer: x = −3
- Add 12 to both sides: 4x = −12
- Divide both sides by 4: x = −3
10.6x − 11 = −53
Answer: x = −7
- Add 11 to both sides: 6x = −42
- Divide both sides by 6: x = −7
11.7x − 10 = −66
Answer: x = −8
- Add 10 to both sides: 7x = −56
- Divide both sides by 7: x = −8
12.5x + 4 = 24
Answer: x = 4
- Subtract 4 from both sides: 5x = 20
- Divide both sides by 5: x = 4
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.