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.
1.5(x − 1) = −50
Answer: x = −9
- Expand: 5x − 5 = −50
- Add 5: 5x = −45
- Divide by 5: x = −9
2.5(x + 1) = 25
Answer: x = 4
- Expand: 5x + 5 = 25
- Subtract 5: 5x = 20
- Divide by 5: x = 4
3.6x − 2 = 5x
Answer: x = 2
- Subtract 5x from both sides: x − 2 = 0
- Add 2: 1x = 2
- Divide by 1: x = 2
4.9x + 3 = 7x − 11
Answer: x = −7
- Subtract 7x from both sides: 2x + 3 = −11
- Subtract 3: 2x = −14
- Divide by 2: x = −7
5.6(x + 5) = 54
Answer: x = 4
- Expand: 6x + 30 = 54
- Subtract 30: 6x = 24
- Divide by 6: x = 4
6.4(x − 8) = 4
Answer: x = 9
- Expand: 4x − 32 = 4
- Add 32: 4x = 36
- Divide by 4: x = 9
7.3x − 4 = 2x + 4
Answer: x = 8
- Subtract 2x from both sides: x − 4 = 4
- Add 4: 1x = 8
- Divide by 1: x = 8
8.5(x + 1) = 10
Answer: x = 1
- Expand: 5x + 5 = 10
- Subtract 5: 5x = 5
- Divide by 5: x = 1
9.5(x − 2) = 35
Answer: x = 9
- Expand: 5x − 10 = 35
- Add 10: 5x = 45
- Divide by 5: x = 9
10.6x − 9 = 3x − 12
Answer: x = −1
- Subtract 3x from both sides: 3x − 9 = −12
- Add 9: 3x = −3
- Divide by 3: x = −1
11.3x + 4 = 2x + 5
Answer: x = 1
- Subtract 2x from both sides: x + 4 = 5
- Subtract 4: 1x = 1
- Divide by 1: x = 1
12.4x − 1 = x + 20
Answer: x = 7
- Subtract 1x from both sides: 3x − 1 = 20
- Add 1: 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.
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