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.
1.3(x + 2) = 0
Answer: x = −2
- Expand: 3x + 6 = 0
- Subtract 6: 3x = −6
- Divide by 3: x = −2
2.4x − 9 = 2x + 7
Answer: x = 8
- Subtract 2x from both sides: 2x − 9 = 7
- Add 9: 2x = 16
- Divide by 2: x = 8
3.7x − 4 = 5x − 20
Answer: x = −8
- Subtract 5x from both sides: 2x − 4 = −20
- Add 4: 2x = −16
- Divide by 2: x = −8
4.3(x − 5) = −21
Answer: x = −2
- Expand: 3x − 15 = −21
- Add 15: 3x = −6
- Divide by 3: x = −2
5.6x + 5 = 2x + 45
Answer: x = 10
- Subtract 2x from both sides: 4x + 5 = 45
- Subtract 5: 4x = 40
- Divide by 4: x = 10
6.7x − 4 = 3x − 24
Answer: x = −5
- Subtract 3x from both sides: 4x − 4 = −24
- Add 4: 4x = −20
- Divide by 4: x = −5
7.6(x + 1) = 0
Answer: x = −1
- Expand: 6x + 6 = 0
- Subtract 6: 6x = −6
- Divide by 6: x = −1
8.5(x + 8) = 30
Answer: x = −2
- Expand: 5x + 40 = 30
- Subtract 40: 5x = −10
- Divide by 5: x = −2
9.5x + 2 = x + 6
Answer: x = 1
- Subtract 1x from both sides: 4x + 2 = 6
- Subtract 2: 4x = 4
- Divide by 4: x = 1
10.7x − 9 = 6x − 11
Answer: x = −2
- Subtract 6x from both sides: x − 9 = −11
- Add 9: 1x = −2
- Divide by 1: x = −2
11.2(x − 3) = 8
Answer: x = 7
- Expand: 2x − 6 = 8
- Add 6: 2x = 14
- Divide by 2: x = 7
12.3(x − 4) = 9
Answer: x = 7
- Expand: 3x − 12 = 9
- Add 12: 3x = 21
- Divide by 3: x = 7
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.