Year 8 Solving Linear Equations Worksheet — Level 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 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.2(x − 5) = −8
Answer: x = 1
- Expand: 2x − 10 = −8
- Add 10: 2x = 2
- Divide by 2: x = 1
2.5x − 10 = 3x − 20
Answer: x = −5
- Subtract 3x from both sides: 2x − 10 = −20
- Add 10: 2x = −10
- Divide by 2: x = −5
3.5(x − 6) = 15
Answer: x = 9
- Expand: 5x − 30 = 15
- Add 30: 5x = 45
- Divide by 5: x = 9
4.3x + 7 = x + 21
Answer: x = 7
- Subtract 1x from both sides: 2x + 7 = 21
- Subtract 7: 2x = 14
- Divide by 2: x = 7
5.5(x + 6) = 45
Answer: x = 3
- Expand: 5x + 30 = 45
- Subtract 30: 5x = 15
- Divide by 5: x = 3
6.4(x + 4) = 56
Answer: x = 10
- Expand: 4x + 16 = 56
- Subtract 16: 4x = 40
- Divide by 4: x = 10
7.5x − 3 = 2x − 12
Answer: x = −3
- Subtract 2x from both sides: 3x − 3 = −12
- Add 3: 3x = −9
- Divide by 3: x = −3
8.2(x − 5) = −18
Answer: x = −4
- Expand: 2x − 10 = −18
- Add 10: 2x = −8
- Divide by 2: x = −4
9.9x − 6 = 2x − 41
Answer: x = −5
- Subtract 2x from both sides: 7x − 6 = −41
- Add 6: 7x = −35
- Divide by 7: x = −5
10.4x − 4 = 2x + 8
Answer: x = 6
- Subtract 2x from both sides: 2x − 4 = 8
- Add 4: 2x = 12
- Divide by 2: x = 6
11.4x − 5 = x + 28
Answer: x = 11
- Subtract 1x from both sides: 3x − 5 = 28
- Add 5: 3x = 33
- Divide by 3: x = 11
12.5(x − 5) = −30
Answer: x = −1
- Expand: 5x − 25 = −30
- Add 25: 5x = −5
- Divide by 5: x = −1
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