10th Grade Solving Linear Equations Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 10th Grade linear equations worksheet.
10th 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.
1.3x − 13 = 11
Answer: x = 8
- Add 13 to both sides: 3x = 24
- Divide both sides by 3: x = 8
2.9x − 6 = 48
Answer: x = 6
- Add 6 to both sides: 9x = 54
- Divide both sides by 9: x = 6
3.2x + 11 = 5
Answer: x = −3
- Subtract 11 from both sides: 2x = −6
- Divide both sides by 2: x = −3
4.4x + 4 = −32
Answer: x = −9
- Subtract 4 from both sides: 4x = −36
- Divide both sides by 4: x = −9
5.2x + 11 = 7
Answer: x = −2
- Subtract 11 from both sides: 2x = −4
- Divide both sides by 2: x = −2
6.5x − 5 = 25
Answer: x = 6
- Add 5 to both sides: 5x = 30
- Divide both sides by 5: x = 6
7.9x + 4 = 22
Answer: x = 2
- Subtract 4 from both sides: 9x = 18
- Divide both sides by 9: x = 2
8.6x − 14 = 40
Answer: x = 9
- Add 14 to both sides: 6x = 54
- Divide both sides by 6: x = 9
9.3x + 4 = 16
Answer: x = 4
- Subtract 4 from both sides: 3x = 12
- Divide both sides by 3: x = 4
10.4x + 8 = −4
Answer: x = −3
- Subtract 8 from both sides: 4x = −12
- Divide both sides by 4: x = −3
11.2x − 9 = −15
Answer: x = −3
- Add 9 to both sides: 2x = −6
- Divide both sides by 2: x = −3
12.4x − 14 = −46
Answer: x = −8
- Add 14 to both sides: 4x = −32
- Divide both sides by 4: x = −8
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.