7th Grade Solving Linear Equations Worksheet — Level 3 — Practice Set 2 — 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 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.4(x + 1) = 16
Answer: x = 3
- Expand: 4x + 4 = 16
- Subtract 4: 4x = 12
- Divide by 4: x = 3
2.3(x + 1) = 15
Answer: x = 4
- Expand: 3x + 3 = 15
- Subtract 3: 3x = 12
- Divide by 3: x = 4
3.5(x + 2) = 15
Answer: x = 1
- Expand: 5x + 10 = 15
- Subtract 10: 5x = 5
- Divide by 5: x = 1
4.4(x + 4) = −12
Answer: x = −7
- Expand: 4x + 16 = −12
- Subtract 16: 4x = −28
- Divide by 4: x = −7
5.8x + 4 = 3x + 54
Answer: x = 10
- Subtract 3x from both sides: 5x + 4 = 54
- Subtract 4: 5x = 50
- Divide by 5: x = 10
6.6x + 4 = 3x + 19
Answer: x = 5
- Subtract 3x from both sides: 3x + 4 = 19
- Subtract 4: 3x = 15
- Divide by 3: x = 5
7.6x + 2 = 4x − 4
Answer: x = −3
- Subtract 4x from both sides: 2x + 2 = −4
- Subtract 2: 2x = −6
- Divide by 2: x = −3
8.5x + 6 = 2x + 12
Answer: x = 2
- Subtract 2x from both sides: 3x + 6 = 12
- Subtract 6: 3x = 6
- Divide by 3: x = 2
9.6x + 8 = 2x + 44
Answer: x = 9
- Subtract 2x from both sides: 4x + 8 = 44
- Subtract 8: 4x = 36
- Divide by 4: x = 9
10.5(x − 4) = −60
Answer: x = −8
- Expand: 5x − 20 = −60
- Add 20: 5x = −40
- Divide by 5: x = −8
11.3(x + 8) = 33
Answer: x = 3
- Expand: 3x + 24 = 33
- Subtract 24: 3x = 9
- Divide by 3: x = 3
12.5(x + 1) = −30
Answer: x = −7
- Expand: 5x + 5 = −30
- Subtract 5: 5x = −35
- Divide by 5: x = −7
Marking tips
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