Year 7 Solving Linear Equations Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 7 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Linear EquationsYear 7 Solving Linear Equations Worksheet — Level 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.5x + 8 = 2x + 41
Answer: x = 11
- Subtract 2x from both sides: 3x + 8 = 41
- Subtract 8: 3x = 33
- Divide by 3: x = 11
2.2(x − 1) = 22
Answer: x = 12
- Expand: 2x − 2 = 22
- Add 2: 2x = 24
- Divide by 2: x = 12
3.4x − 5 = 3x + 5
Answer: x = 10
- Subtract 3x from both sides: x − 5 = 5
- Add 5: 1x = 10
- Divide by 1: x = 10
4.2(x + 7) = 0
Answer: x = −7
- Expand: 2x + 14 = 0
- Subtract 14: 2x = −14
- Divide by 2: x = −7
5.9x + 3 = 8x + 6
Answer: x = 3
- Subtract 8x from both sides: x + 3 = 6
- Subtract 3: 1x = 3
- Divide by 1: x = 3
6.5x − 2 = 4x + 7
Answer: x = 9
- Subtract 4x from both sides: x − 2 = 7
- Add 2: 1x = 9
- Divide by 1: x = 9
7.7x + 7 = 2x − 33
Answer: x = −8
- Subtract 2x from both sides: 5x + 7 = −33
- Subtract 7: 5x = −40
- Divide by 5: x = −8
8.4x − 10 = 3x − 2
Answer: x = 8
- Subtract 3x from both sides: x − 10 = −2
- Add 10: 1x = 8
- Divide by 1: x = 8
9.9x + 1 = x + 97
Answer: x = 12
- Subtract 1x from both sides: 8x + 1 = 97
- Subtract 1: 8x = 96
- Divide by 8: x = 12
10.7x − 2 = 6x + 6
Answer: x = 8
- Subtract 6x from both sides: x − 2 = 6
- Add 2: 1x = 8
- Divide by 1: x = 8
11.2(x − 1) = −12
Answer: x = −5
- Expand: 2x − 2 = −12
- Add 2: 2x = −10
- Divide by 2: x = −5
12.4(x − 7) = −44
Answer: x = −4
- Expand: 4x − 28 = −44
- Add 28: 4x = −16
- Divide by 4: x = −4
Marking tips
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