Lesson 2.6

2.6 Expanding brackets and collecting like terms Quiz: AQA Further Maths, Unit 2

20 questions

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Lesson 2.6, Expanding brackets and collecting like terms: 20 multiple choice questions for the AQA GCSE Further Maths (8365), Unit 2: Algebra, written with Revision Ninja.

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The 20 questions

  1. Expand 2(x + 5).

    • 2x + 10
    • 2x + 5
    • x + 10
    • 2x + 7
  2. Expand (x + 2)(x + 3).

    • x^2 + 6x + 6
    • x^2 + x + 6
    • x^2 + 5x + 6
    • x^2 + 5x + 5
  3. Expand (x − 4)(x + 4).

    • x^2 − 8x − 16
    • x^2 + 16
    • x^2 − 16
    • x^2 − 8
  4. Expand (x − 3)^2.

    • x^2 − 6x + 9
    • x^2 − 9
    • x^2 − 3x + 9
    • x^2 + 6x + 9
  5. Simplify 4a − 2(a − 3).

    • 6a + 6
    • 2a + 6
    • 2a − 6
    • 2a + 3
  6. Expand and simplify (2x − 1)(x + 4) − (x + 2)(x − 3).

    • x^2 + 6x − 10
    • 3x^2 + 8x + 2
    • x^2 + 8x − 10
    • x^2 + 8x + 2
  7. Expand (a^2 + a)(a − 1).

    • a^3 − a
    • a^3 + a
    • a^2 − a
    • a^3 − 2a
  8. Expand and simplify (m + n)^2 − (m − n)^2.

    • 2mn
    • 4mn
    • 2m^2 + 2n^2
    • 4m^2n^2
  9. Expand (2p − 3q)(2p + 3q).

    • 4p^2 − 12pq + 9q^2
    • 2p^2 − 9q^2
    • 4p^2 + 9q^2
    • 4p^2 − 9q^2
  10. Simplify 5(x + 2y) − 3(2x − y).

    • x + 7y
    • −x − 13y
    • −x + 7y
    • −x + 13y
  11. Expand and simplify x(x + 3) − (x − 1)(x + 2).

    • 2x − 2
    • 2x + 2
    • 4x + 2
    • x^2 + 2
  12. Expand (3x + 2)^2.

    • 3x^2 + 12x + 4
    • 9x^2 + 6x + 4
    • 9x^2 + 12x + 4
    • 9x^2 + 4
  13. Expand −2(3x^2 − x + 4).

    • −6x^2 + 2x − 8
    • −6x^2 − 2x − 8
    • 6x^2 − 2x + 8
    • −6x^2 + 2x + 8
  14. Simplify (x + 3)(x − 3) − (x − 2)^2.

    • 2x − 13
    • −4x − 13
    • 4x − 13
    • 4x + 5
  15. Expand (x − 1)(x^2 + 2x − 3).

    • x^3 + 3x^2 − 5x + 3
    • x^3 + x^2 − 5x + 3
    • x^3 + x^2 − 5x − 3
    • x^3 − x^2 + 5x + 3
  16. Expand (2x + 1)(x − 2)(x + 3).

    • 2x^3 + 3x^2 − 11x − 6
    • 2x^3 + 3x^2 − 11x + 6
    • 2x^3 − 3x^2 − 11x − 6
    • 2x^3 + 3x^2 + 11x − 6
  17. Simplify (x + 2)^2 − (x − 2)^2 − 8x.

    • 8x
    • 0
    • −8x
    • 16x
  18. Expand (x + 1/2)^2.

    • x^2 + 2x + 1/4
    • x^2 + x + 1/2
    • x^2 + 1/4
    • x^2 + x + 1/4
  19. Expand (x − 2)(x^2 − 4x + 4).

    • x^3 − 6x^2 + 12x + 8
    • x^3 − 6x^2 + 12x − 8
    • x^3 − 2x^2 + 4x − 8
    • x^3 − 4x^2 + 4x − 8
  20. Expand and simplify (y + 3)(y − 3) + (y + 1)^2.

    • 2y^2 + 2y + 8
    • 2y^2 + 2y − 8
    • 2y^2 + 2y − 9
    • 2y^2 + 2y + 10

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