7th Grade Solving Linear Equations Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 7th Grade linear equations worksheet.
7th Grade Solving Linear Equations Worksheet — Level 2 — Practice Set 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.7x − 8 = −50
Answer: x = −6
- Add 8 to both sides: 7x = −42
- Divide both sides by 7: x = −6
2.9x − 10 = −46
Answer: x = −4
- Add 10 to both sides: 9x = −36
- Divide both sides by 9: x = −4
3.9x + 10 = 1
Answer: x = −1
- Subtract 10 from both sides: 9x = −9
- Divide both sides by 9: x = −1
4.2x − 7 = −5
Answer: x = 1
- Add 7 to both sides: 2x = 2
- Divide both sides by 2: x = 1
5.6x + 4 = 34
Answer: x = 5
- Subtract 4 from both sides: 6x = 30
- Divide both sides by 6: x = 5
6.7x + 12 = 82
Answer: x = 10
- Subtract 12 from both sides: 7x = 70
- Divide both sides by 7: x = 10
7.2x + 2 = 10
Answer: x = 4
- Subtract 2 from both sides: 2x = 8
- Divide both sides by 2: x = 4
8.3x − 9 = 3
Answer: x = 4
- Add 9 to both sides: 3x = 12
- Divide both sides by 3: x = 4
9.7x + 3 = 24
Answer: x = 3
- Subtract 3 from both sides: 7x = 21
- Divide both sides by 7: x = 3
10.8x + 6 = 94
Answer: x = 11
- Subtract 6 from both sides: 8x = 88
- Divide both sides by 8: x = 11
11.8x − 9 = 39
Answer: x = 6
- Add 9 to both sides: 8x = 48
- Divide both sides by 8: x = 6
12.2x − 14 = 8
Answer: x = 11
- Add 14 to both sides: 2x = 22
- Divide both sides by 2: x = 11
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.