Year 7 Solving Linear Equations Worksheet — Level 3 — 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 3 — Practice Set 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.4(x + 5) = 44
Answer: x = 6
- Expand: 4x + 20 = 44
- Subtract 20: 4x = 24
- Divide by 4: x = 6
2.5x + 6 = x + 10
Answer: x = 1
- Subtract 1x from both sides: 4x + 6 = 10
- Subtract 6: 4x = 4
- Divide by 4: x = 1
3.6(x + 6) = 96
Answer: x = 10
- Expand: 6x + 36 = 96
- Subtract 36: 6x = 60
- Divide by 6: x = 10
4.5(x + 6) = 0
Answer: x = −6
- Expand: 5x + 30 = 0
- Subtract 30: 5x = −30
- Divide by 5: x = −6
5.4(x + 7) = 72
Answer: x = 11
- Expand: 4x + 28 = 72
- Subtract 28: 4x = 44
- Divide by 4: x = 11
6.3(x − 8) = −30
Answer: x = −2
- Expand: 3x − 24 = −30
- Add 24: 3x = −6
- Divide by 3: x = −2
7.2(x − 1) = 4
Answer: x = 3
- Expand: 2x − 2 = 4
- Add 2: 2x = 6
- Divide by 2: x = 3
8.5(x + 3) = 55
Answer: x = 8
- Expand: 5x + 15 = 55
- Subtract 15: 5x = 40
- Divide by 5: x = 8
9.3(x − 5) = 3
Answer: x = 6
- Expand: 3x − 15 = 3
- Add 15: 3x = 18
- Divide by 3: x = 6
10.2(x − 2) = 0
Answer: x = 2
- Expand: 2x − 4 = 0
- Add 4: 2x = 4
- Divide by 2: x = 2
11.3(x + 8) = −3
Answer: x = −9
- Expand: 3x + 24 = −3
- Subtract 24: 3x = −27
- Divide by 3: x = −9
12.6x + 2 = 5x + 3
Answer: x = 1
- Subtract 5x from both sides: x + 2 = 3
- Subtract 2: 1x = 1
- Divide by 1: x = 1
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.