7th Grade Solving Linear Equations Worksheet — Level 2 — 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 2 — Practice Set 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.3x + 5 = −10
Answer: x = −5
- Subtract 5 from both sides: 3x = −15
- Divide both sides by 3: x = −5
2.8x + 14 = −18
Answer: x = −4
- Subtract 14 from both sides: 8x = −32
- Divide both sides by 8: x = −4
3.8x + 7 = −65
Answer: x = −9
- Subtract 7 from both sides: 8x = −72
- Divide both sides by 8: x = −9
4.5x − 8 = 12
Answer: x = 4
- Add 8 to both sides: 5x = 20
- Divide both sides by 5: x = 4
5.5x + 15 = 40
Answer: x = 5
- Subtract 15 from both sides: 5x = 25
- Divide both sides by 5: x = 5
6.8x + 3 = 83
Answer: x = 10
- Subtract 3 from both sides: 8x = 80
- Divide both sides by 8: x = 10
7.5x + 10 = −15
Answer: x = −5
- Subtract 10 from both sides: 5x = −25
- Divide both sides by 5: x = −5
8.3x − 2 = 13
Answer: x = 5
- Add 2 to both sides: 3x = 15
- Divide both sides by 3: x = 5
9.2x − 3 = 1
Answer: x = 2
- Add 3 to both sides: 2x = 4
- Divide both sides by 2: x = 2
10.8x − 14 = 74
Answer: x = 11
- Add 14 to both sides: 8x = 88
- Divide both sides by 8: x = 11
11.4x − 15 = 5
Answer: x = 5
- Add 15 to both sides: 4x = 20
- Divide both sides by 4: x = 5
12.2x + 10 = 2
Answer: x = −4
- Subtract 10 from both sides: 2x = −8
- Divide both sides by 2: x = −4
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.