Year 7 Solving Linear Equations Worksheet — Level 3 — 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 3 — Practice Set 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.8x − 4 = 4x + 12
Answer: x = 4
- Subtract 4x from both sides: 4x − 4 = 12
- Add 4: 4x = 16
- Divide by 4: x = 4
2.2(x + 2) = −12
Answer: x = −8
- Expand: 2x + 4 = −12
- Subtract 4: 2x = −16
- Divide by 2: x = −8
3.5(x − 1) = −30
Answer: x = −5
- Expand: 5x − 5 = −30
- Add 5: 5x = −25
- Divide by 5: x = −5
4.5(x − 7) = −20
Answer: x = 3
- Expand: 5x − 35 = −20
- Add 35: 5x = 15
- Divide by 5: x = 3
5.7x + 5 = x + 17
Answer: x = 2
- Subtract 1x from both sides: 6x + 5 = 17
- Subtract 5: 6x = 12
- Divide by 6: x = 2
6.8x + 2 = 7x + 6
Answer: x = 4
- Subtract 7x from both sides: x + 2 = 6
- Subtract 2: 1x = 4
- Divide by 1: x = 4
7.8x − 6 = x + 78
Answer: x = 12
- Subtract 1x from both sides: 7x − 6 = 78
- Add 6: 7x = 84
- Divide by 7: x = 12
8.2(x − 7) = 6
Answer: x = 10
- Expand: 2x − 14 = 6
- Add 14: 2x = 20
- Divide by 2: x = 10
9.3x − 9 = 2x − 18
Answer: x = −9
- Subtract 2x from both sides: x − 9 = −18
- Add 9: 1x = −9
- Divide by 1: x = −9
10.5x − 5 = 4x − 11
Answer: x = −6
- Subtract 4x from both sides: x − 5 = −11
- Add 5: 1x = −6
- Divide by 1: x = −6
11.5x − 9 = 3x − 19
Answer: x = −5
- Subtract 3x from both sides: 2x − 9 = −19
- Add 9: 2x = −10
- Divide by 2: x = −5
12.3x + 4 = 2x − 2
Answer: x = −6
- Subtract 2x from both sides: x + 4 = −2
- Subtract 4: 1x = −6
- Divide by 1: x = −6
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.