Year 8 Solving Linear Equations Worksheet — Level 3 — Practice Set 3 — 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 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.6(x + 3) = 30
Answer: x = 2
- Expand: 6x + 18 = 30
- Subtract 18: 6x = 12
- Divide by 6: x = 2
2.9x − 5 = x + 11
Answer: x = 2
- Subtract 1x from both sides: 8x − 5 = 11
- Add 5: 8x = 16
- Divide by 8: x = 2
3.3(x + 3) = 30
Answer: x = 7
- Expand: 3x + 9 = 30
- Subtract 9: 3x = 21
- Divide by 3: x = 7
4.6x + 8 = 4x + 12
Answer: x = 2
- Subtract 4x from both sides: 2x + 8 = 12
- Subtract 8: 2x = 4
- Divide by 2: x = 2
5.5(x + 2) = −10
Answer: x = −4
- Expand: 5x + 10 = −10
- Subtract 10: 5x = −20
- Divide by 5: x = −4
6.6x + 8 = x − 2
Answer: x = −2
- Subtract 1x from both sides: 5x + 8 = −2
- Subtract 8: 5x = −10
- Divide by 5: x = −2
7.3x − 2 = x + 18
Answer: x = 10
- Subtract 1x from both sides: 2x − 2 = 18
- Add 2: 2x = 20
- Divide by 2: x = 10
8.2(x − 3) = −22
Answer: x = −8
- Expand: 2x − 6 = −22
- Add 6: 2x = −16
- Divide by 2: x = −8
9.9x − 10 = 6x − 37
Answer: x = −9
- Subtract 6x from both sides: 3x − 10 = −37
- Add 10: 3x = −27
- Divide by 3: x = −9
10.3x − 10 = 2x − 13
Answer: x = −3
- Subtract 2x from both sides: x − 10 = −13
- Add 10: 1x = −3
- Divide by 1: x = −3
11.3(x − 7) = −27
Answer: x = −2
- Expand: 3x − 21 = −27
- Add 21: 3x = −6
- Divide by 3: x = −2
12.3x − 5 = 2x − 7
Answer: x = −2
- Subtract 2x from both sides: x − 5 = −7
- Add 5: 1x = −2
- Divide by 1: 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.