7th Grade Solving Linear Equations Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.7x + 14 = 56
Answer: x = 6
- Subtract 14 from both sides: 7x = 42
- Divide both sides by 7: x = 6
2.6x + 14 = 26
Answer: x = 2
- Subtract 14 from both sides: 6x = 12
- Divide both sides by 6: x = 2
3.2x + 5 = 27
Answer: x = 11
- Subtract 5 from both sides: 2x = 22
- Divide both sides by 2: x = 11
4.5x − 7 = −32
Answer: x = −5
- Add 7 to both sides: 5x = −25
- Divide both sides by 5: x = −5
5.4x − 1 = −17
Answer: x = −4
- Add 1 to both sides: 4x = −16
- Divide both sides by 4: x = −4
6.4x + 15 = 47
Answer: x = 8
- Subtract 15 from both sides: 4x = 32
- Divide both sides by 4: x = 8
7.3x − 14 = 1
Answer: x = 5
- Add 14 to both sides: 3x = 15
- Divide both sides by 3: x = 5
8.5x + 9 = 39
Answer: x = 6
- Subtract 9 from both sides: 5x = 30
- Divide both sides by 5: x = 6
9.2x − 7 = −15
Answer: x = −4
- Add 7 to both sides: 2x = −8
- Divide both sides by 2: x = −4
10.5x − 2 = −22
Answer: x = −4
- Add 2 to both sides: 5x = −20
- Divide both sides by 5: x = −4
11.3x + 6 = 18
Answer: x = 4
- Subtract 6 from both sides: 3x = 12
- Divide both sides by 3: x = 4
12.5x − 13 = −28
Answer: x = −3
- Add 13 to both sides: 5x = −15
- Divide both sides by 5: x = −3
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.