10th Grade Solving Linear Equations Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 10th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Linear Equations10th 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.
1.3x + 1 = −5
Answer: x = −2
- Subtract 1 from both sides: 3x = −6
- Divide both sides by 3: x = −2
2.2x − 15 = −17
Answer: x = −1
- Add 15 to both sides: 2x = −2
- Divide both sides by 2: x = −1
3.7x − 5 = 79
Answer: x = 12
- Add 5 to both sides: 7x = 84
- Divide both sides by 7: x = 12
4.2x − 3 = −21
Answer: x = −9
- Add 3 to both sides: 2x = −18
- Divide both sides by 2: x = −9
5.3x + 15 = 30
Answer: x = 5
- Subtract 15 from both sides: 3x = 15
- Divide both sides by 3: x = 5
6.3x − 6 = −30
Answer: x = −8
- Add 6 to both sides: 3x = −24
- Divide both sides by 3: x = −8
7.8x + 8 = −24
Answer: x = −4
- Subtract 8 from both sides: 8x = −32
- Divide both sides by 8: x = −4
8.3x − 9 = 6
Answer: x = 5
- Add 9 to both sides: 3x = 15
- Divide both sides by 3: x = 5
9.6x + 6 = −42
Answer: x = −8
- Subtract 6 from both sides: 6x = −48
- Divide both sides by 6: x = −8
10.8x − 4 = −52
Answer: x = −6
- Add 4 to both sides: 8x = −48
- Divide both sides by 8: x = −6
11.6x − 13 = 41
Answer: x = 9
- Add 13 to both sides: 6x = 54
- Divide both sides by 6: x = 9
12.3x + 3 = −12
Answer: x = −5
- Subtract 3 from both sides: 3x = −15
- Divide both sides by 3: x = −5
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.