7th Grade Solving Linear Equations Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 7th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Linear Equations7th Grade Solving Linear Equations Worksheet — Level 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.3x − 7 = 2x + 2
Answer: x = 9
- Subtract 2x from both sides: x − 7 = 2
- Add 7: 1x = 9
- Divide by 1: x = 9
2.9x + 10 = 6x + 13
Answer: x = 1
- Subtract 6x from both sides: 3x + 10 = 13
- Subtract 10: 3x = 3
- Divide by 3: x = 1
3.2(x − 5) = −12
Answer: x = −1
- Expand: 2x − 10 = −12
- Add 10: 2x = −2
- Divide by 2: x = −1
4.9x + 6 = 2x + 83
Answer: x = 11
- Subtract 2x from both sides: 7x + 6 = 83
- Subtract 6: 7x = 77
- Divide by 7: x = 11
5.5x − 2 = x − 14
Answer: x = −3
- Subtract 1x from both sides: 4x − 2 = −14
- Add 2: 4x = −12
- Divide by 4: x = −3
6.4(x + 4) = 20
Answer: x = 1
- Expand: 4x + 16 = 20
- Subtract 16: 4x = 4
- Divide by 4: x = 1
7.4x + 4 = x + 34
Answer: x = 10
- Subtract 1x from both sides: 3x + 4 = 34
- Subtract 4: 3x = 30
- Divide by 3: x = 10
8.8x − 10 = 4x + 38
Answer: x = 12
- Subtract 4x from both sides: 4x − 10 = 38
- Add 10: 4x = 48
- Divide by 4: x = 12
9.3x + 4 = 2x − 2
Answer: x = −6
- Subtract 2x from both sides: x + 4 = −2
- Subtract 4: 1x = −6
- Divide by 1: x = −6
10.2(x + 2) = −10
Answer: x = −7
- Expand: 2x + 4 = −10
- Subtract 4: 2x = −14
- Divide by 2: x = −7
11.9x + 8 = x + 88
Answer: x = 10
- Subtract 1x from both sides: 8x + 8 = 88
- Subtract 8: 8x = 80
- Divide by 8: x = 10
12.5(x − 8) = −80
Answer: x = −8
- Expand: 5x − 40 = −80
- Add 40: 5x = −40
- Divide by 5: x = −8
Marking tips
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