10th Grade Solving Linear Equations Worksheet — Level 3 — 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 3 — Practice Set 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.4x − 1 = x + 20
Answer: x = 7
- Subtract 1x from both sides: 3x − 1 = 20
- Add 1: 3x = 21
- Divide by 3: x = 7
2.5x − 9 = x + 7
Answer: x = 4
- Subtract 1x from both sides: 4x − 9 = 7
- Add 9: 4x = 16
- Divide by 4: x = 4
3.4(x − 4) = −8
Answer: x = 2
- Expand: 4x − 16 = −8
- Add 16: 4x = 8
- Divide by 4: x = 2
4.5x − 8 = 4x − 13
Answer: x = −5
- Subtract 4x from both sides: x − 8 = −13
- Add 8: 1x = −5
- Divide by 1: x = −5
5.2(x − 3) = 10
Answer: x = 8
- Expand: 2x − 6 = 10
- Add 6: 2x = 16
- Divide by 2: x = 8
6.2(x + 4) = −8
Answer: x = −8
- Expand: 2x + 8 = −8
- Subtract 8: 2x = −16
- Divide by 2: x = −8
7.4(x − 4) = −52
Answer: x = −9
- Expand: 4x − 16 = −52
- Add 16: 4x = −36
- Divide by 4: x = −9
8.4x + 6 = 3x + 3
Answer: x = −3
- Subtract 3x from both sides: x + 6 = 3
- Subtract 6: 1x = −3
- Divide by 1: x = −3
9.9x + 4 = 5x + 12
Answer: x = 2
- Subtract 5x from both sides: 4x + 4 = 12
- Subtract 4: 4x = 8
- Divide by 4: x = 2
10.4(x − 3) = 20
Answer: x = 8
- Expand: 4x − 12 = 20
- Add 12: 4x = 32
- Divide by 4: x = 8
11.6(x − 1) = −42
Answer: x = −6
- Expand: 6x − 6 = −42
- Add 6: 6x = −36
- Divide by 6: x = −6
12.7x + 8 = 3x + 52
Answer: x = 11
- Subtract 3x from both sides: 4x + 8 = 52
- Subtract 8: 4x = 44
- Divide by 4: x = 11
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.