11+ Entrance Exam

Algebra

6 free practice questions with explanations

PassNova has 6 free 11+ Entrance Exam 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.

Sample questions

Algebra: example questions & answers

6 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.

  1. If x + 5 = 12, what is x?

    • A5
    • B6
    • C7
    • D8

    Answer: x = 12 - 5 = 7.

  2. If 2x = 14, what is x?

    • A5
    • B6
    • C7
    • D8

    Answer: x = 14 ÷ 2 = 7.

  3. If 3x - 2 = 10, what is x?

    • A2
    • B3
    • C4
    • D5

    Answer: 3x - 2 = 10 → 3x = 12 → x = 4.

  4. If x/2 = 6, what is x?

    • A10
    • B11
    • C12
    • D13

    Answer: x = 6 × 2 = 12.

  5. If 5x + 3 = 18, what is x?

    • A2
    • B3
    • C4
    • D5

    Answer: 5x + 3 = 18 → 5x = 15 → x = 3.

  6. If 2x + 4 = 12, what is x?

    • A2
    • B3
    • C4
    • D5

    Answer: Subtract 4 from each side: 2x + 4 = 12 becomes 2x = 8. Then divide each side by 2, which gives x = 4.

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