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.
1.2(x − 5) = 14
Answer: x = 12
- Expand: 2x − 10 = 14
- Add 10: 2x = 24
- Divide by 2: x = 12
2.8x − 2 = 3x − 17
Answer: x = −3
- Subtract 3x from both sides: 5x − 2 = −17
- Add 2: 5x = −15
- Divide by 5: x = −3
3.4(x − 6) = −40
Answer: x = −4
- Expand: 4x − 24 = −40
- Add 24: 4x = −16
- Divide by 4: x = −4
4.5(x − 7) = 15
Answer: x = 10
- Expand: 5x − 35 = 15
- Add 35: 5x = 50
- Divide by 5: x = 10
5.6(x + 4) = 78
Answer: x = 9
- Expand: 6x + 24 = 78
- Subtract 24: 6x = 54
- Divide by 6: x = 9
6.8x − 10 = 7x − 17
Answer: x = −7
- Subtract 7x from both sides: x − 10 = −17
- Add 10: 1x = −7
- Divide by 1: x = −7
7.4x − 9 = 2x − 7
Answer: x = 1
- Subtract 2x from both sides: 2x − 9 = −7
- Add 9: 2x = 2
- Divide by 2: x = 1
8.4x + 7 = 2x − 3
Answer: x = −5
- Subtract 2x from both sides: 2x + 7 = −3
- Subtract 7: 2x = −10
- Divide by 2: x = −5
9.9x − 4 = 7x − 10
Answer: x = −3
- Subtract 7x from both sides: 2x − 4 = −10
- Add 4: 2x = −6
- Divide by 2: x = −3
10.6(x − 4) = 6
Answer: x = 5
- Expand: 6x − 24 = 6
- Add 24: 6x = 30
- Divide by 6: x = 5
11.4(x + 2) = 16
Answer: x = 2
- Expand: 4x + 8 = 16
- Subtract 8: 4x = 8
- Divide by 4: x = 2
12.5x + 5 = 4x + 17
Answer: x = 12
- Subtract 4x from both sides: x + 5 = 17
- Subtract 5: 1x = 12
- Divide by 1: x = 12
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.