Year 7 Solving Linear Equations Worksheet — Level 3 — 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 3 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.6(x − 5) = −24
Answer: x = 1
- Expand: 6x − 30 = −24
- Add 30: 6x = 6
- Divide by 6: x = 1
2.7x − 8 = 5x + 16
Answer: x = 12
- Subtract 5x from both sides: 2x − 8 = 16
- Add 8: 2x = 24
- Divide by 2: x = 12
3.6x + 3 = 4x − 15
Answer: x = −9
- Subtract 4x from both sides: 2x + 3 = −15
- Subtract 3: 2x = −18
- Divide by 2: x = −9
4.4x + 3 = 2x − 7
Answer: x = −5
- Subtract 2x from both sides: 2x + 3 = −7
- Subtract 3: 2x = −10
- Divide by 2: x = −5
5.6x − 1 = 5x + 4
Answer: x = 5
- Subtract 5x from both sides: x − 1 = 4
- Add 1: 1x = 5
- Divide by 1: x = 5
6.5x − 2 = 3x − 14
Answer: x = −6
- Subtract 3x from both sides: 2x − 2 = −14
- Add 2: 2x = −12
- Divide by 2: x = −6
7.5x + 8 = 4x + 14
Answer: x = 6
- Subtract 4x from both sides: x + 8 = 14
- Subtract 8: 1x = 6
- Divide by 1: x = 6
8.6(x − 8) = −18
Answer: x = 5
- Expand: 6x − 48 = −18
- Add 48: 6x = 30
- Divide by 6: x = 5
9.4(x + 4) = 36
Answer: x = 5
- Expand: 4x + 16 = 36
- Subtract 16: 4x = 20
- Divide by 4: x = 5
10.8x − 1 = 5x + 5
Answer: x = 2
- Subtract 5x from both sides: 3x − 1 = 5
- Add 1: 3x = 6
- Divide by 3: x = 2
11.8x − 8 = 3x − 18
Answer: x = −2
- Subtract 3x from both sides: 5x − 8 = −18
- Add 8: 5x = −10
- Divide by 5: x = −2
12.4(x + 8) = 52
Answer: x = 5
- Expand: 4x + 32 = 52
- Subtract 32: 4x = 20
- Divide by 4: x = 5
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.