8th Grade Solving Linear Equations Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 8th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Linear Equations8th Grade Solving Linear Equations Worksheet — Level 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.7x + 10 = 6x + 20
Answer: x = 10
- Subtract 6x from both sides: x + 10 = 20
- Subtract 10: 1x = 10
- Divide by 1: x = 10
2.6x − 3 = x + 2
Answer: x = 1
- Subtract 1x from both sides: 5x − 3 = 2
- Add 3: 5x = 5
- Divide by 5: x = 1
3.6(x + 8) = 24
Answer: x = −4
- Expand: 6x + 48 = 24
- Subtract 48: 6x = −24
- Divide by 6: x = −4
4.4x − 1 = 2x + 5
Answer: x = 3
- Subtract 2x from both sides: 2x − 1 = 5
- Add 1: 2x = 6
- Divide by 2: x = 3
5.4x − 1 = x + 11
Answer: x = 4
- Subtract 1x from both sides: 3x − 1 = 11
- Add 1: 3x = 12
- Divide by 3: x = 4
6.5x − 7 = 4x − 4
Answer: x = 3
- Subtract 4x from both sides: x − 7 = −4
- Add 7: 1x = 3
- Divide by 1: x = 3
7.2(x + 5) = 16
Answer: x = 3
- Expand: 2x + 10 = 16
- Subtract 10: 2x = 6
- Divide by 2: x = 3
8.4x + 6 = 3x + 3
Answer: x = −3
- Subtract 3x from both sides: x + 6 = 3
- Subtract 6: 1x = −3
- Divide by 1: x = −3
9.8x − 8 = 7x − 6
Answer: x = 2
- Subtract 7x from both sides: x − 8 = −6
- Add 8: 1x = 2
- Divide by 1: x = 2
10.3(x + 2) = 24
Answer: x = 6
- Expand: 3x + 6 = 24
- Subtract 6: 3x = 18
- Divide by 3: x = 6
11.3x − 3 = 2x + 4
Answer: x = 7
- Subtract 2x from both sides: x − 3 = 4
- Add 3: 1x = 7
- Divide by 1: x = 7
12.7x + 3 = 2x + 8
Answer: x = 1
- Subtract 2x from both sides: 5x + 3 = 8
- Subtract 3: 5x = 5
- Divide by 5: x = 1
Marking tips
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