10th Grade Solving Linear Equations Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 10th Grade linear equations worksheet.
10th Grade Solving Linear Equations Worksheet — Level 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.2x + 13 = 11
Answer: x = −1
- Subtract 13 from both sides: 2x = −2
- Divide both sides by 2: x = −1
2.9x − 10 = 44
Answer: x = 6
- Add 10 to both sides: 9x = 54
- Divide both sides by 9: x = 6
3.2x − 8 = −24
Answer: x = −8
- Add 8 to both sides: 2x = −16
- Divide both sides by 2: x = −8
4.5x − 10 = 40
Answer: x = 10
- Add 10 to both sides: 5x = 50
- Divide both sides by 5: x = 10
5.5x + 6 = 61
Answer: x = 11
- Subtract 6 from both sides: 5x = 55
- Divide both sides by 5: x = 11
6.4x + 11 = −1
Answer: x = −3
- Subtract 11 from both sides: 4x = −12
- Divide both sides by 4: x = −3
7.5x − 4 = −29
Answer: x = −5
- Add 4 to both sides: 5x = −25
- Divide both sides by 5: x = −5
8.8x + 9 = −7
Answer: x = −2
- Subtract 9 from both sides: 8x = −16
- Divide both sides by 8: x = −2
9.7x + 6 = −50
Answer: x = −8
- Subtract 6 from both sides: 7x = −56
- Divide both sides by 7: x = −8
10.7x − 11 = 66
Answer: x = 11
- Add 11 to both sides: 7x = 77
- Divide both sides by 7: x = 11
11.4x − 13 = 23
Answer: x = 9
- Add 13 to both sides: 4x = 36
- Divide both sides by 4: x = 9
12.7x + 14 = 21
Answer: x = 1
- Subtract 14 from both sides: 7x = 7
- Divide both sides by 7: x = 1
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.