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.
1.8x + 5 = 2x − 37
Answer: x = −7
- Subtract 2x from both sides: 6x + 5 = −37
- Subtract 5: 6x = −42
- Divide by 6: x = −7
2.7x − 2 = 2x − 7
Answer: x = −1
- Subtract 2x from both sides: 5x − 2 = −7
- Add 2: 5x = −5
- Divide by 5: x = −1
3.2(x + 3) = 10
Answer: x = 2
- Expand: 2x + 6 = 10
- Subtract 6: 2x = 4
- Divide by 2: x = 2
4.6x + 9 = 2x + 13
Answer: x = 1
- Subtract 2x from both sides: 4x + 9 = 13
- Subtract 9: 4x = 4
- Divide by 4: x = 1
5.6(x − 1) = 18
Answer: x = 4
- Expand: 6x − 6 = 18
- Add 6: 6x = 24
- Divide by 6: x = 4
6.6(x + 5) = 42
Answer: x = 2
- Expand: 6x + 30 = 42
- Subtract 30: 6x = 12
- Divide by 6: x = 2
7.4x − 8 = x − 14
Answer: x = −2
- Subtract 1x from both sides: 3x − 8 = −14
- Add 8: 3x = −6
- Divide by 3: x = −2
8.4x + 1 = 3x + 9
Answer: x = 8
- Subtract 3x from both sides: x + 1 = 9
- Subtract 1: 1x = 8
- Divide by 1: x = 8
9.3x + 5 = 2x − 3
Answer: x = −8
- Subtract 2x from both sides: x + 5 = −3
- Subtract 5: 1x = −8
- Divide by 1: x = −8
10.3x − 3 = 2x + 4
Answer: x = 7
- Subtract 2x from both sides: x − 3 = 4
- Add 3: 1x = 7
- Divide by 1: x = 7
11.6(x + 5) = 102
Answer: x = 12
- Expand: 6x + 30 = 102
- Subtract 30: 6x = 72
- Divide by 6: x = 12
12.9x − 9 = 5x − 17
Answer: x = −2
- Subtract 5x from both sides: 4x − 9 = −17
- Add 9: 4x = −8
- Divide by 4: x = −2
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.