7th Grade Solving Linear Equations Worksheet — Level 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 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.6x − 10 = 8
Answer: x = 3
- Add 10 to both sides: 6x = 18
- Divide both sides by 6: x = 3
2.4x + 8 = 24
Answer: x = 4
- Subtract 8 from both sides: 4x = 16
- Divide both sides by 4: x = 4
3.9x − 1 = 8
Answer: x = 1
- Add 1 to both sides: 9x = 9
- Divide both sides by 9: x = 1
4.9x − 4 = 50
Answer: x = 6
- Add 4 to both sides: 9x = 54
- Divide both sides by 9: x = 6
5.3x − 8 = 19
Answer: x = 9
- Add 8 to both sides: 3x = 27
- Divide both sides by 3: x = 9
6.5x − 11 = 14
Answer: x = 5
- Add 11 to both sides: 5x = 25
- Divide both sides by 5: x = 5
7.6x − 1 = 59
Answer: x = 10
- Add 1 to both sides: 6x = 60
- Divide both sides by 6: x = 10
8.7x − 1 = −43
Answer: x = −6
- Add 1 to both sides: 7x = −42
- Divide both sides by 7: x = −6
9.4x − 8 = −28
Answer: x = −5
- Add 8 to both sides: 4x = −20
- Divide both sides by 4: x = −5
10.8x + 8 = 32
Answer: x = 3
- Subtract 8 from both sides: 8x = 24
- Divide both sides by 8: x = 3
11.7x − 5 = −68
Answer: x = −9
- Add 5 to both sides: 7x = −63
- Divide both sides by 7: x = −9
12.8x − 11 = 29
Answer: x = 5
- Add 11 to both sides: 8x = 40
- Divide both sides by 8: x = 5
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.