7th Grade Solving Linear Equations Worksheet — Level 3 — Practice Set 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 — Practice Set 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.9x − 6 = 8x − 15
Answer: x = −9
- Subtract 8x from both sides: x − 6 = −15
- Add 6: 1x = −9
- Divide by 1: x = −9
2.8x + 2 = 6x + 10
Answer: x = 4
- Subtract 6x from both sides: 2x + 2 = 10
- Subtract 2: 2x = 8
- Divide by 2: x = 4
3.3x − 8 = x + 10
Answer: x = 9
- Subtract 1x from both sides: 2x − 8 = 10
- Add 8: 2x = 18
- Divide by 2: x = 9
4.3x + 8 = 2x + 3
Answer: x = −5
- Subtract 2x from both sides: x + 8 = 3
- Subtract 8: 1x = −5
- Divide by 1: x = −5
5.3(x + 3) = −12
Answer: x = −7
- Expand: 3x + 9 = −12
- Subtract 9: 3x = −21
- Divide by 3: x = −7
6.5x + 4 = x + 16
Answer: x = 3
- Subtract 1x from both sides: 4x + 4 = 16
- Subtract 4: 4x = 12
- Divide by 4: x = 3
7.5x + 9 = 4x + 14
Answer: x = 5
- Subtract 4x from both sides: x + 9 = 14
- Subtract 9: 1x = 5
- Divide by 1: x = 5
8.6(x + 8) = 60
Answer: x = 2
- Expand: 6x + 48 = 60
- Subtract 48: 6x = 12
- Divide by 6: x = 2
9.3x − 6 = x + 10
Answer: x = 8
- Subtract 1x from both sides: 2x − 6 = 10
- Add 6: 2x = 16
- Divide by 2: x = 8
10.2(x + 2) = −14
Answer: x = −9
- Expand: 2x + 4 = −14
- Subtract 4: 2x = −18
- Divide by 2: x = −9
11.5(x + 3) = 60
Answer: x = 9
- Expand: 5x + 15 = 60
- Subtract 15: 5x = 45
- Divide by 5: x = 9
12.4(x + 1) = 44
Answer: x = 10
- Expand: 4x + 4 = 44
- Subtract 4: 4x = 40
- Divide by 4: x = 10
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.
- Celebrate what went well first, then pick one thing to work on next.