9th Grade Solving Linear Equations Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 9th Grade linear equations worksheet.
9th 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) = 60
Answer: x = 9
- Expand: 4x + 24 = 60
- Subtract 24: 4x = 36
- Divide by 4: x = 9
2.6x − 1 = 4x + 15
Answer: x = 8
- Subtract 4x from both sides: 2x − 1 = 15
- Add 1: 2x = 16
- Divide by 2: x = 8
3.3(x + 2) = 27
Answer: x = 7
- Expand: 3x + 6 = 27
- Subtract 6: 3x = 21
- Divide by 3: x = 7
4.5x + 1 = x + 29
Answer: x = 7
- Subtract 1x from both sides: 4x + 1 = 29
- Subtract 1: 4x = 28
- Divide by 4: x = 7
5.6(x + 8) = 54
Answer: x = 1
- Expand: 6x + 48 = 54
- Subtract 48: 6x = 6
- Divide by 6: x = 1
6.4(x + 6) = −4
Answer: x = −7
- Expand: 4x + 24 = −4
- Subtract 24: 4x = −28
- Divide by 4: x = −7
7.6x + 10 = 2x + 22
Answer: x = 3
- Subtract 2x from both sides: 4x + 10 = 22
- Subtract 10: 4x = 12
- Divide by 4: x = 3
8.6(x + 8) = 36
Answer: x = −2
- Expand: 6x + 48 = 36
- Subtract 48: 6x = −12
- Divide by 6: x = −2
9.2(x − 3) = 6
Answer: x = 6
- Expand: 2x − 6 = 6
- Add 6: 2x = 12
- Divide by 2: x = 6
10.6x − 7 = 2x − 35
Answer: x = −7
- Subtract 2x from both sides: 4x − 7 = −35
- Add 7: 4x = −28
- Divide by 4: x = −7
11.5(x + 6) = 50
Answer: x = 4
- Expand: 5x + 30 = 50
- Subtract 30: 5x = 20
- Divide by 5: x = 4
12.2(x − 4) = 16
Answer: x = 12
- Expand: 2x − 8 = 16
- Add 8: 2x = 24
- Divide by 2: x = 12
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.