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.
1.6(x + 6) = 54
Answer: x = 3
- Expand: 6x + 36 = 54
- Subtract 36: 6x = 18
- Divide by 6: x = 3
2.7x + 9 = x − 21
Answer: x = −5
- Subtract 1x from both sides: 6x + 9 = −21
- Subtract 9: 6x = −30
- Divide by 6: x = −5
3.3(x − 1) = −24
Answer: x = −7
- Expand: 3x − 3 = −24
- Add 3: 3x = −21
- Divide by 3: x = −7
4.2(x + 5) = 0
Answer: x = −5
- Expand: 2x + 10 = 0
- Subtract 10: 2x = −10
- Divide by 2: x = −5
5.5x − 1 = x + 7
Answer: x = 2
- Subtract 1x from both sides: 4x − 1 = 7
- Add 1: 4x = 8
- Divide by 4: x = 2
6.9x − 9 = 4x + 6
Answer: x = 3
- Subtract 4x from both sides: 5x − 9 = 6
- Add 9: 5x = 15
- Divide by 5: x = 3
7.5(x + 4) = 55
Answer: x = 7
- Expand: 5x + 20 = 55
- Subtract 20: 5x = 35
- Divide by 5: x = 7
8.6(x − 3) = −72
Answer: x = −9
- Expand: 6x − 18 = −72
- Add 18: 6x = −54
- Divide by 6: x = −9
9.2(x + 3) = 14
Answer: x = 4
- Expand: 2x + 6 = 14
- Subtract 6: 2x = 8
- Divide by 2: x = 4
10.5x − 6 = 4x − 3
Answer: x = 3
- Subtract 4x from both sides: x − 6 = −3
- Add 6: 1x = 3
- Divide by 1: x = 3
11.4(x + 3) = 8
Answer: x = −1
- Expand: 4x + 12 = 8
- Subtract 12: 4x = −4
- Divide by 4: x = −1
12.6(x + 5) = 12
Answer: x = −3
- Expand: 6x + 30 = 12
- Subtract 30: 6x = −18
- Divide by 6: x = −3
Marking tips
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