8th Grade Solving Linear Equations Worksheet — Level 3 — Practice Set 2 — 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 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.5(x + 3) = 75
Answer: x = 12
- Expand: 5x + 15 = 75
- Subtract 15: 5x = 60
- Divide by 5: x = 12
2.8x − 2 = x − 30
Answer: x = −4
- Subtract 1x from both sides: 7x − 2 = −30
- Add 2: 7x = −28
- Divide by 7: x = −4
3.4(x − 1) = 4
Answer: x = 2
- Expand: 4x − 4 = 4
- Add 4: 4x = 8
- Divide by 4: x = 2
4.5x + 9 = 3x + 23
Answer: x = 7
- Subtract 3x from both sides: 2x + 9 = 23
- Subtract 9: 2x = 14
- Divide by 2: x = 7
5.3(x + 1) = −6
Answer: x = −3
- Expand: 3x + 3 = −6
- Subtract 3: 3x = −9
- Divide by 3: x = −3
6.3(x − 7) = 12
Answer: x = 11
- Expand: 3x − 21 = 12
- Add 21: 3x = 33
- Divide by 3: x = 11
7.6(x − 6) = 0
Answer: x = 6
- Expand: 6x − 36 = 0
- Add 36: 6x = 36
- Divide by 6: x = 6
8.5(x + 1) = −30
Answer: x = −7
- Expand: 5x + 5 = −30
- Subtract 5: 5x = −35
- Divide by 5: x = −7
9.4(x − 1) = −16
Answer: x = −3
- Expand: 4x − 4 = −16
- Add 4: 4x = −12
- Divide by 4: x = −3
10.5x + 10 = 2x + 25
Answer: x = 5
- Subtract 2x from both sides: 3x + 10 = 25
- Subtract 10: 3x = 15
- Divide by 3: x = 5
11.2(x − 5) = −20
Answer: x = −5
- Expand: 2x − 10 = −20
- Add 10: 2x = −10
- Divide by 2: x = −5
12.4x + 9 = x − 12
Answer: x = −7
- Subtract 1x from both sides: 3x + 9 = −12
- Subtract 9: 3x = −21
- Divide by 3: x = −7
Marking tips
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