Year 10 · Mathematics
Year 10 maths help and free practice questions
Year 10 consolidates algebra and number skills that later senior maths relies on. Use the practice below to check the foundations are secure, and ask the tutor about any topic.
Topics the tutor covers at Year 10 level
Algebra
- Solve two-step equations
- Expand brackets
Topics are grouped by the year levels our tutor uses. Detailed curriculum mapping is being reviewed by teachers before any alignment is claimed.
Year 10 practice questions
Try each question, then reveal the answer and a worked solution. Want more? The tutor makes new ones with hints, instantly.
Solve two-step equations
1. Solve: 4x + 8 = 20
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Answer: 3
4x + 8 = 20. Subtract 8: 4x = 12. Divide by 4: x = 3. Check: 4 × 3 + 8 = 20 ✓
Expand brackets
2. Expand: 9(x + 4)
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Answer: 9x + 36
9 × x = 9x and 9 × +4 = +36, so 9(x + 4) = 9x + 36.
Solve two-step equations
3. Solve: 9x + 9 = -18
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Answer: -3
9x + 9 = -18. Subtract 9: 9x = -27. Divide by 9: x = -3. Check: 9 × -3 + 9 = -18 ✓
Expand brackets
4. Expand: 9(x + 8)
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Answer: 9x + 72
9 × x = 9x and 9 × +8 = +72, so 9(x + 8) = 9x + 72.
Solve two-step equations
5. Solve: 3x + 7 = 16
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Answer: 3
3x + 7 = 16. Subtract 7: 3x = 9. Divide by 3: x = 3. Check: 3 × 3 + 7 = 16 ✓
Expand brackets
6. Expand: 5(x - 5)
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Answer: 5x - 25
5 × x = 5x and 5 × -5 = -25, so 5(x - 5) = 5x - 25.
Solve two-step equations
7. Solve: 7x + 15 = -6
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Answer: -3
7x + 15 = -6. Subtract 15: 7x = -21. Divide by 7: x = -3. Check: 7 × -3 + 15 = -6 ✓
Expand brackets
8. Expand: 6(x - 5)
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Answer: 6x - 30
6 × x = 6x and 6 × -5 = -30, so 6(x - 5) = 6x - 30.