Year 10 Solving Linear Equations Worksheet — Level 3 (Set 2) — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 Solving Linear Equations Worksheet — Level 3 (Set 2) — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.9x + 1 = 4x + 31
Answer: x = 6
- Subtract 4x from both sides: 5x + 1 = 31
- Subtract 1: 5x = 30
- Divide by 5: x = 6
2.3x + 9 = x + 13
Answer: x = 2
- Subtract 1x from both sides: 2x + 9 = 13
- Subtract 9: 2x = 4
- Divide by 2: x = 2
3.8x − 5 = 4x + 43
Answer: x = 12
- Subtract 4x from both sides: 4x − 5 = 43
- Add 5: 4x = 48
- Divide by 4: x = 12
4.7x − 1 = 6x + 4
Answer: x = 5
- Subtract 6x from both sides: x − 1 = 4
- Add 1: 1x = 5
- Divide by 1: x = 5
5.6x + 7 = 3x − 8
Answer: x = −5
- Subtract 3x from both sides: 3x + 7 = −8
- Subtract 7: 3x = −15
- Divide by 3: x = −5
6.3(x + 6) = 6
Answer: x = −4
- Expand: 3x + 18 = 6
- Subtract 18: 3x = −12
- Divide by 3: x = −4
7.4x + 2 = 2x − 2
Answer: x = −2
- Subtract 2x from both sides: 2x + 2 = −2
- Subtract 2: 2x = −4
- Divide by 2: x = −2
8.6(x − 5) = 12
Answer: x = 7
- Expand: 6x − 30 = 12
- Add 30: 6x = 42
- Divide by 6: x = 7
9.4x + 4 = x + 37
Answer: x = 11
- Subtract 1x from both sides: 3x + 4 = 37
- Subtract 4: 3x = 33
- Divide by 3: x = 11
10.4(x + 4) = −8
Answer: x = −6
- Expand: 4x + 16 = −8
- Subtract 16: 4x = −24
- Divide by 4: x = −6
11.7x − 9 = 6x − 1
Answer: x = 8
- Subtract 6x from both sides: x − 9 = −1
- Add 9: 1x = 8
- Divide by 1: x = 8
12.3x + 6 = x + 20
Answer: x = 7
- Subtract 1x from both sides: 2x + 6 = 20
- Subtract 6: 2x = 14
- Divide by 2: x = 7
Marking tips
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