PassNova has 8 free KS3 Maths practice questions on Algebra, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.
Algebra: example questions & answers
8 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.
Simplify the expression 5a + 3a − 2a.
- A6a✓
- B10a
- C6
- D4a
Answer: Collect like terms: 5a + 3a − 2a = 6a.
Solve for x: x + 7 = 12.
- A19
- B5✓
- C7
- D−5
Answer: Subtract 7 from both sides: x = 12 − 7 = 5.
Expand 3(x + 4).
- A3x + 4
- B3x + 12✓
- Cx + 12
- D3x + 7
Answer: Multiply each term in the bracket by 3: 3 × x + 3 × 4 = 3x + 12.
Solve for x: 2x − 3 = 11.
- A4
- B7✓
- C8
- D14
Answer: Add 3: 2x = 14. Divide by 2: x = 7.
If y = 4x and x = 3, what is y?
- A7
- B12✓
- C1
- D43
Answer: Substitute x = 3: y = 4 × 3 = 12.
What is the next term in the sequence 2, 5, 8, 11, …?
- A13
- B14✓
- C15
- D12
Answer: The sequence increases by 3 each time, so 11 + 3 = 14.
Simplify x × x × x.
- A3x
- Bx³✓
- Cx²
- D3
Answer: Multiplying x by itself three times gives x³ (x cubed).
Factorise fully: 6x + 9.
- A3(2x + 3)✓
- B6(x + 9)
- C3(2x + 9)
- D2(3x + 9)
Answer: The highest common factor of 6 and 9 is 3: 6x + 9 = 3(2x + 3).