10th Grade Solving Linear Equations Worksheet — Level 2 — Practice Set 3 — 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 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.4x + 2 = −22
Answer: x = −6
- Subtract 2 from both sides: 4x = −24
- Divide both sides by 4: x = −6
2.4x − 7 = −19
Answer: x = −3
- Add 7 to both sides: 4x = −12
- Divide both sides by 4: x = −3
3.2x + 11 = −7
Answer: x = −9
- Subtract 11 from both sides: 2x = −18
- Divide both sides by 2: x = −9
4.2x + 9 = 13
Answer: x = 2
- Subtract 9 from both sides: 2x = 4
- Divide both sides by 2: x = 2
5.3x + 7 = 16
Answer: x = 3
- Subtract 7 from both sides: 3x = 9
- Divide both sides by 3: x = 3
6.9x + 5 = −4
Answer: x = −1
- Subtract 5 from both sides: 9x = −9
- Divide both sides by 9: x = −1
7.7x + 10 = 94
Answer: x = 12
- Subtract 10 from both sides: 7x = 84
- Divide both sides by 7: x = 12
8.9x + 10 = −17
Answer: x = −3
- Subtract 10 from both sides: 9x = −27
- Divide both sides by 9: x = −3
9.2x + 7 = 9
Answer: x = 1
- Subtract 7 from both sides: 2x = 2
- Divide both sides by 2: x = 1
10.4x + 8 = −20
Answer: x = −7
- Subtract 8 from both sides: 4x = −28
- Divide both sides by 4: x = −7
11.4x + 5 = 1
Answer: x = −1
- Subtract 5 from both sides: 4x = −4
- Divide both sides by 4: x = −1
12.3x + 2 = 32
Answer: x = 10
- Subtract 2 from both sides: 3x = 30
- Divide both sides by 3: x = 10
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.