9th Grade Solving Linear Equations Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 9th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Linear Equations9th 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.
1.2(x + 1) = 18
Answer: x = 8
- Expand: 2x + 2 = 18
- Subtract 2: 2x = 16
- Divide by 2: x = 8
2.9x + 5 = 6x − 19
Answer: x = −8
- Subtract 6x from both sides: 3x + 5 = −19
- Subtract 5: 3x = −24
- Divide by 3: x = −8
3.6x − 6 = 4x − 2
Answer: x = 2
- Subtract 4x from both sides: 2x − 6 = −2
- Add 6: 2x = 4
- Divide by 2: x = 2
4.5x − 9 = x − 29
Answer: x = −5
- Subtract 1x from both sides: 4x − 9 = −29
- Add 9: 4x = −20
- Divide by 4: x = −5
5.6x − 1 = 2x − 33
Answer: x = −8
- Subtract 2x from both sides: 4x − 1 = −33
- Add 1: 4x = −32
- Divide by 4: x = −8
6.7x + 9 = 6x + 18
Answer: x = 9
- Subtract 6x from both sides: x + 9 = 18
- Subtract 9: 1x = 9
- Divide by 1: x = 9
7.4(x + 7) = 76
Answer: x = 12
- Expand: 4x + 28 = 76
- Subtract 28: 4x = 48
- Divide by 4: x = 12
8.4x − 1 = x + 23
Answer: x = 8
- Subtract 1x from both sides: 3x − 1 = 23
- Add 1: 3x = 24
- Divide by 3: x = 8
9.8x + 8 = 7x + 17
Answer: x = 9
- Subtract 7x from both sides: x + 8 = 17
- Subtract 8: 1x = 9
- Divide by 1: x = 9
10.6x − 5 = x − 40
Answer: x = −7
- Subtract 1x from both sides: 5x − 5 = −40
- Add 5: 5x = −35
- Divide by 5: x = −7
11.6x − 5 = x + 10
Answer: x = 3
- Subtract 1x from both sides: 5x − 5 = 10
- Add 5: 5x = 15
- Divide by 5: x = 3
12.6(x + 3) = 0
Answer: x = −3
- Expand: 6x + 18 = 0
- Subtract 18: 6x = −18
- Divide by 6: x = −3
Marking tips
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