Year 8 Solving Linear Equations Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.4x + 1 = 3x + 10
Answer: x = 9
- Subtract 3x from both sides: x + 1 = 10
- Subtract 1: 1x = 9
- Divide by 1: x = 9
2.3x − 5 = x − 23
Answer: x = −9
- Subtract 1x from both sides: 2x − 5 = −23
- Add 5: 2x = −18
- Divide by 2: x = −9
3.6(x − 7) = −48
Answer: x = −1
- Expand: 6x − 42 = −48
- Add 42: 6x = −6
- Divide by 6: x = −1
4.9x + 9 = 7x + 19
Answer: x = 5
- Subtract 7x from both sides: 2x + 9 = 19
- Subtract 9: 2x = 10
- Divide by 2: x = 5
5.2(x + 5) = 4
Answer: x = −3
- Expand: 2x + 10 = 4
- Subtract 10: 2x = −6
- Divide by 2: x = −3
6.3(x + 1) = −6
Answer: x = −3
- Expand: 3x + 3 = −6
- Subtract 3: 3x = −9
- Divide by 3: x = −3
7.3x − 9 = x + 1
Answer: x = 5
- Subtract 1x from both sides: 2x − 9 = 1
- Add 9: 2x = 10
- Divide by 2: x = 5
8.2(x + 1) = −8
Answer: x = −5
- Expand: 2x + 2 = −8
- Subtract 2: 2x = −10
- Divide by 2: x = −5
9.2(x + 6) = −6
Answer: x = −9
- Expand: 2x + 12 = −6
- Subtract 12: 2x = −18
- Divide by 2: x = −9
10.6(x + 7) = −12
Answer: x = −9
- Expand: 6x + 42 = −12
- Subtract 42: 6x = −54
- Divide by 6: x = −9
11.8x − 5 = 7x − 9
Answer: x = −4
- Subtract 7x from both sides: x − 5 = −9
- Add 5: 1x = −4
- Divide by 1: x = −4
12.7x + 5 = x − 49
Answer: x = −9
- Subtract 1x from both sides: 6x + 5 = −49
- Subtract 5: 6x = −54
- Divide by 6: x = −9
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.