Grade 9Mathpractice16 questions

Quadratics

Grade 9: expand two brackets, factorise, solve by factorising, difference of two squares.

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Free to play. Teams answer on one screen; your phone is the remote. No student devices.

Questions

  1. Expand (x + 2)(x + 3).

    • x² + 5x + 5
    • x² + 5x + 6
    • x² + 6x + 5
    • x² + 6x + 6
    Show answerx² + 5x + 6

  2. Expand (x − 4)(x + 5).

    • x² + 9x − 20
    • x² + x + 20
    • x² + x − 20
    • x² − x − 20
    Show answerx² + x − 20

  3. (x + 3)² expands to x² + 9. (True or false?)

    Show answerFalse

  4. Expand and simplify (2x − 3)(x + 4). (Answer out loud)

    Show answer2x² + 5x − 12

  5. Factorise x² + 7x + 12.

    • (x + 1)(x + 12)
    • (x + 2)(x + 6)
    • (x + 3)(x + 4)
    • (x − 3)(x − 4)
    Show answer(x + 3)(x + 4)

  6. Factorise x² − 2x − 15.

    • (x + 5)(x + 3)
    • (x + 5)(x − 3)
    • (x − 5)(x + 3)
    • (x − 5)(x − 3)
    Show answer(x − 5)(x + 3)

  7. Factorise fully 3x² + 6x.

    • 3x(x + 2)
    • 3x(x + 3)
    • 3x(x + 6)
    • 6x(x + 1)
    Show answer3x(x + 2)

  8. x² + 5x + 6 factorises as (x + 2)(x + 3). (True or false?)

    Show answerTrue

  9. Solve (x − 2)(x + 5) = 0.

    • x = 2 or x = 5
    • x = 2 or x = −5
    • x = −2 or x = 5
    • x = −2 or x = −5
    Show answerx = 2 or x = −5

  10. Solve x² − 5x + 6 = 0.

    • x = 1 or x = 6
    • x = 2 or x = 3
    • x = −1 or x = −6
    • x = −2 or x = −3
    Show answerx = 2 or x = 3

  11. Solve x² + 2x − 8 = 0. (Answer out loud)

    Show answerx = 2 or x = −4

  12. Solve x² = 7x.

    • x = 0 or x = 7
    • x = 0 or x = −7
    • x = 1 or x = 7
    • x = 7 or x = −7
    Show answerx = 0 or x = 7

  13. Factorise x² − 49.

    • (x + 7)²
    • (x − 49)(x + 1)
    • (x − 7)(x + 7)
    • (x − 7)²
    Show answer(x − 7)(x + 7)

  14. Factorise 4x² − 25.

    • (2x − 25)(2x + 25)
    • (2x − 5)(2x + 5)
    • (2x − 5)²
    • (4x − 5)(4x + 5)
    Show answer(2x − 5)(2x + 5)

  15. x² + 9 factorises as (x + 3)(x − 3). (True or false?)

    Show answerFalse

  16. Use a² − b² = (a − b)(a + b) to work out 101² − 99². (Answer out loud)

    Show answer400

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