7th Grade Solving Linear Equations Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.2(x − 4) = 12
Answer: x = 10
- Expand: 2x − 8 = 12
- Add 8: 2x = 20
- Divide by 2: x = 10
2.6x + 6 = 2x + 30
Answer: x = 6
- Subtract 2x from both sides: 4x + 6 = 30
- Subtract 6: 4x = 24
- Divide by 4: x = 6
3.3x − 1 = 2x − 10
Answer: x = −9
- Subtract 2x from both sides: x − 1 = −10
- Add 1: 1x = −9
- Divide by 1: x = −9
4.4(x + 8) = 52
Answer: x = 5
- Expand: 4x + 32 = 52
- Subtract 32: 4x = 20
- Divide by 4: x = 5
5.6x + 10 = 2x − 2
Answer: x = −3
- Subtract 2x from both sides: 4x + 10 = −2
- Subtract 10: 4x = −12
- Divide by 4: x = −3
6.8x − 7 = x + 21
Answer: x = 4
- Subtract 1x from both sides: 7x − 7 = 21
- Add 7: 7x = 28
- Divide by 7: x = 4
7.4(x − 8) = −4
Answer: x = 7
- Expand: 4x − 32 = −4
- Add 32: 4x = 28
- Divide by 4: x = 7
8.4x − 10 = x + 2
Answer: x = 4
- Subtract 1x from both sides: 3x − 10 = 2
- Add 10: 3x = 12
- Divide by 3: x = 4
9.7x − 2 = 2x + 53
Answer: x = 11
- Subtract 2x from both sides: 5x − 2 = 53
- Add 2: 5x = 55
- Divide by 5: x = 11
10.2(x − 6) = −2
Answer: x = 5
- Expand: 2x − 12 = −2
- Add 12: 2x = 10
- Divide by 2: x = 5
11.4x − 8 = 2x − 2
Answer: x = 3
- Subtract 2x from both sides: 2x − 8 = −2
- Add 8: 2x = 6
- Divide by 2: x = 3
12.8x + 6 = 4x − 30
Answer: x = −9
- Subtract 4x from both sides: 4x + 6 = −30
- Subtract 6: 4x = −36
- Divide by 4: x = −9
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
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