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.
1.4x + 8 = 2x + 22
Answer: x = 7
- Subtract 2x from both sides: 2x + 8 = 22
- Subtract 8: 2x = 14
- Divide by 2: x = 7
2.5(x + 6) = 75
Answer: x = 9
- Expand: 5x + 30 = 75
- Subtract 30: 5x = 45
- Divide by 5: x = 9
3.5x + 7 = 4x + 17
Answer: x = 10
- Subtract 4x from both sides: x + 7 = 17
- Subtract 7: 1x = 10
- Divide by 1: x = 10
4.9x − 7 = 4x + 33
Answer: x = 8
- Subtract 4x from both sides: 5x − 7 = 33
- Add 7: 5x = 40
- Divide by 5: x = 8
5.9x − 10 = 8x − 1
Answer: x = 9
- Subtract 8x from both sides: x − 10 = −1
- Add 10: 1x = 9
- Divide by 1: x = 9
6.3(x − 2) = 12
Answer: x = 6
- Expand: 3x − 6 = 12
- Add 6: 3x = 18
- Divide by 3: x = 6
7.7x − 6 = 5x + 2
Answer: x = 4
- Subtract 5x from both sides: 2x − 6 = 2
- Add 6: 2x = 8
- Divide by 2: x = 4
8.9x + 1 = 3x + 61
Answer: x = 10
- Subtract 3x from both sides: 6x + 1 = 61
- Subtract 1: 6x = 60
- Divide by 6: x = 10
9.8x + 5 = 5x + 32
Answer: x = 9
- Subtract 5x from both sides: 3x + 5 = 32
- Subtract 5: 3x = 27
- Divide by 3: x = 9
10.9x + 7 = 6x + 19
Answer: x = 4
- Subtract 6x from both sides: 3x + 7 = 19
- Subtract 7: 3x = 12
- Divide by 3: x = 4
11.6(x − 2) = −48
Answer: x = −6
- Expand: 6x − 12 = −48
- Add 12: 6x = −36
- Divide by 6: x = −6
12.6(x − 7) = 18
Answer: x = 10
- Expand: 6x − 42 = 18
- Add 42: 6x = 60
- Divide by 6: x = 10
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.