PassNova has 14 free 11+ 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
14 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.
If 2x + 4 = 12, what is x?
- A8
- B6
- C5
- D4✓
Answer: Take the 4 off both sides: 2x = 8. Then divide both sides by 2, so x = 4.
If 3x + 2 = 17, what is x?
- A15
- B5✓
- C6
- D4
Answer: Take the 2 off both sides: 3x = 15. Then divide both sides by 3, so x = 5.
If 5x + 3 = 18, what is x?
- A15
- B4
- C2
- D3✓
Answer: Take the 3 off both sides: 5x = 15. Then divide both sides by 5, so x = 3.
If 4x + 7 = 27, what is x?
- A20
- B5✓
- C8
- D6
Answer: Take the 7 off both sides: 4x = 20. Then divide both sides by 4, so x = 5.
If 6x + 5 = 29, what is x?
- A4✓
- B24
- C5
- D3
Answer: Take the 5 off both sides: 6x = 24. Then divide both sides by 6, so x = 4.
If 2x + 9 = 21, what is x?
- A6✓
- B12
- C15
- D10
Answer: Take the 9 off both sides: 2x = 12. Then divide both sides by 2, so x = 6.
If 3x − 2 = 10, what is x?
- A2
- B3
- C4✓
- D12
Answer: Add the 2 back to both sides: 3x = 12. Divide by 3 to get x = 4.
If 5x − 4 = 21, what is x?
- A3
- B4
- C5✓
- D25
Answer: Add the 4 back to both sides: 5x = 25. Divide by 5 to get x = 5.
If 2x − 6 = 14, what is x?
- A4
- B7
- C10✓
- D20
Answer: Add the 6 back to both sides: 2x = 20. Divide by 2 to get x = 10.
If 4x − 3 = 25, what is x?
- A7✓
- B5
- C6
- D28
Answer: Add the 3 back to both sides: 4x = 28. Divide by 4 to get x = 7.
If x = 5, what is the value of 3x + 2?
- A10
- B21
- C7
- D17✓
Answer: Replace x with 5: 3 × 5 + 2 = 15 + 2 = 17.
If x = 4, what is the value of 6x + 5?
- A15
- B29✓
- C54
- D9
Answer: Replace x with 4: 6 × 4 + 5 = 24 + 5 = 29.
If x = 7, what is the value of 2x + 4?
- A13
- B22
- C11
- D18✓
Answer: Replace x with 7: 2 × 7 + 4 = 14 + 4 = 18.
If x = 6, what is the value of 5x + 3?
- A14
- B45
- C33✓
- D9
Answer: Replace x with 6: 5 × 6 + 3 = 30 + 3 = 33.