10th Grade Solving Linear Equations Worksheet — Level 3 — 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 3 — Practice Set 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.4(x + 6) = 68
Answer: x = 11
- Expand: 4x + 24 = 68
- Subtract 24: 4x = 44
- Divide by 4: x = 11
2.2(x − 1) = 8
Answer: x = 5
- Expand: 2x − 2 = 8
- Add 2: 2x = 10
- Divide by 2: x = 5
3.6(x + 2) = 30
Answer: x = 3
- Expand: 6x + 12 = 30
- Subtract 12: 6x = 18
- Divide by 6: x = 3
4.5x + 6 = 4x + 15
Answer: x = 9
- Subtract 4x from both sides: x + 6 = 15
- Subtract 6: 1x = 9
- Divide by 1: x = 9
5.2(x − 5) = −26
Answer: x = −8
- Expand: 2x − 10 = −26
- Add 10: 2x = −16
- Divide by 2: x = −8
6.9x − 10 = 6x − 13
Answer: x = −1
- Subtract 6x from both sides: 3x − 10 = −13
- Add 10: 3x = −3
- Divide by 3: x = −1
7.8x − 7 = 6x + 15
Answer: x = 11
- Subtract 6x from both sides: 2x − 7 = 15
- Add 7: 2x = 22
- Divide by 2: x = 11
8.8x − 7 = 6x − 17
Answer: x = −5
- Subtract 6x from both sides: 2x − 7 = −17
- Add 7: 2x = −10
- Divide by 2: x = −5
9.9x − 7 = x + 89
Answer: x = 12
- Subtract 1x from both sides: 8x − 7 = 89
- Add 7: 8x = 96
- Divide by 8: x = 12
10.6x − 10 = 5x − 12
Answer: x = −2
- Subtract 5x from both sides: x − 10 = −12
- Add 10: 1x = −2
- Divide by 1: x = −2
11.7x + 1 = 6x − 2
Answer: x = −3
- Subtract 6x from both sides: x + 1 = −2
- Subtract 1: 1x = −3
- Divide by 1: x = −3
12.5(x − 2) = −45
Answer: x = −7
- Expand: 5x − 10 = −45
- Add 10: 5x = −35
- Divide by 5: x = −7
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.