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.
1.3x + 9 = x + 13
Answer: x = 2
- Subtract 1x from both sides: 2x + 9 = 13
- Subtract 9: 2x = 4
- Divide by 2: x = 2
2.4(x + 3) = −24
Answer: x = −9
- Expand: 4x + 12 = −24
- Subtract 12: 4x = −36
- Divide by 4: x = −9
3.5(x + 7) = 80
Answer: x = 9
- Expand: 5x + 35 = 80
- Subtract 35: 5x = 45
- Divide by 5: x = 9
4.3(x + 4) = 15
Answer: x = 1
- Expand: 3x + 12 = 15
- Subtract 12: 3x = 3
- Divide by 3: x = 1
5.4(x − 3) = 8
Answer: x = 5
- Expand: 4x − 12 = 8
- Add 12: 4x = 20
- Divide by 4: x = 5
6.3(x + 2) = 27
Answer: x = 7
- Expand: 3x + 6 = 27
- Subtract 6: 3x = 21
- Divide by 3: x = 7
7.4(x + 8) = 16
Answer: x = −4
- Expand: 4x + 32 = 16
- Subtract 32: 4x = −16
- Divide by 4: x = −4
8.3x − 2 = x − 16
Answer: x = −7
- Subtract 1x from both sides: 2x − 2 = −16
- Add 2: 2x = −14
- Divide by 2: x = −7
9.3x − 8 = x + 6
Answer: x = 7
- Subtract 1x from both sides: 2x − 8 = 6
- Add 8: 2x = 14
- Divide by 2: x = 7
10.6x − 2 = 4x − 6
Answer: x = −2
- Subtract 4x from both sides: 2x − 2 = −6
- Add 2: 2x = −4
- Divide by 2: x = −2
11.7x + 10 = 2x − 25
Answer: x = −7
- Subtract 2x from both sides: 5x + 10 = −25
- Subtract 10: 5x = −35
- Divide by 5: x = −7
12.8x − 4 = 4x − 28
Answer: x = −6
- Subtract 4x from both sides: 4x − 4 = −28
- Add 4: 4x = −24
- Divide by 4: 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.