Year 8 Solving Linear Equations Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear EquationsYear 8 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.
1.8x + 1 = 4x − 35
Answer: x = −9
- Subtract 4x from both sides: 4x + 1 = −35
- Subtract 1: 4x = −36
- Divide by 4: x = −9
2.2(x + 1) = −6
Answer: x = −4
- Expand: 2x + 2 = −6
- Subtract 2: 2x = −8
- Divide by 2: x = −4
3.2(x + 7) = 18
Answer: x = 2
- Expand: 2x + 14 = 18
- Subtract 14: 2x = 4
- Divide by 2: x = 2
4.3(x − 4) = −15
Answer: x = −1
- Expand: 3x − 12 = −15
- Add 12: 3x = −3
- Divide by 3: x = −1
5.6(x + 7) = 48
Answer: x = 1
- Expand: 6x + 42 = 48
- Subtract 42: 6x = 6
- Divide by 6: x = 1
6.5x + 1 = x + 29
Answer: x = 7
- Subtract 1x from both sides: 4x + 1 = 29
- Subtract 1: 4x = 28
- Divide by 4: x = 7
7.4(x − 4) = −20
Answer: x = −1
- Expand: 4x − 16 = −20
- Add 16: 4x = −4
- Divide by 4: x = −1
8.5x + 8 = 2x + 29
Answer: x = 7
- Subtract 2x from both sides: 3x + 8 = 29
- Subtract 8: 3x = 21
- Divide by 3: x = 7
9.9x + 7 = 3x − 29
Answer: x = −6
- Subtract 3x from both sides: 6x + 7 = −29
- Subtract 7: 6x = −36
- Divide by 6: x = −6
10.4x − 4 = 2x + 20
Answer: x = 12
- Subtract 2x from both sides: 2x − 4 = 20
- Add 4: 2x = 24
- Divide by 2: x = 12
11.3x + 10 = 2x + 17
Answer: x = 7
- Subtract 2x from both sides: x + 10 = 17
- Subtract 10: 1x = 7
- Divide by 1: x = 7
12.9x − 7 = 3x − 13
Answer: x = −1
- Subtract 3x from both sides: 6x − 7 = −13
- Add 7: 6x = −6
- Divide by 6: 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.