Lesson 2.1

2.1 The basic processes of algebra Quiz: AQA Further Maths, Unit 2

20 questions

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Lesson 2.1, The basic processes of algebra: 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. Simplify 3a + 2b − a + 4b.

    • 3a + 6b
    • 2a + 2b
    • 2a + 6b
    • 4a + 6b
  2. Simplify 5x × 3y.

    • 15x + y
    • 15x^2y
    • 15xy
    • 8xy
  3. Simplify 2a^2 − a^2.

    • a^2
    • 3a^2
    • a
    • −a^2
  4. Expand 4(3p − 2q).

    • 7p − 8q
    • 12p − 2q
    • 12p − 8q
    • 12p + 8q
  5. Which law states that a(b + c) = ab + ac?

    • Associative law
    • Commutative law
    • Inverse law
    • Distributive law
  6. Simplify (12x^2y) ÷ (4xy).

    • 3x
    • 3x^2
    • 8x
    • 3xy
  7. Simplify 3(2x + 5) − 2(x − 4).

    • 4x + 7
    • 4x + 23
    • 4x + 15
    • 8x + 23
  8. Evaluate 3x^2 − 2x when x = −2.

    • 12
    • 8
    • −4
    • 16
  9. Evaluate a^2b − ab^2 when a = 3 and b = −2.

    • 30
    • −6
    • −30
    • 6
  10. Simplify (2x)^3.

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

    • 6x
    • 12x
    • 18
    • 2x^2 + 18
  12. Simplify (4a^3b)(3ab^2).

    • 12a^3b^2
    • 12a^4b^3
    • 12a^4b^2
    • 7a^4b^3
  13. A rectangle has length 3x + 1 and width x − 2. Write its perimeter in simplest form.

    • 4x − 1
    • 6x − 2
    • 8x + 2
    • 8x − 2
  14. Simplify 5(2m − 3n) − 3(m + n).

    • 7m − 12n
    • 7m + 18n
    • 7m − 18n
    • 13m − 18n
  15. Simplify 2x^2y + 3xy^2 − x^2y + 4xy^2.

    • x^2y + 7x^2y^2
    • 2x^2y + 7xy^2
    • 3x^2y + 7xy^2
    • x^2y + 7xy^2
  16. Simplify (x^2 − 4x + 3) − 2(x^2 − 5).

    • x^2 − 4x + 13
    • −x^2 − 4x − 7
    • −x^2 − 4x + 13
    • −x^2 − 4x + 3
  17. Expand and simplify (2a − b)(a + 3b) − (a − b)^2.

    • a^2 + 7ab + 4b^2
    • a^2 + 7ab − 4b^2
    • a^2 + 3ab − 4b^2
    • 3a^2 + 7ab − 4b^2
  18. Simplify (6x^4y^3) ÷ (2x^2y).

    • 3x^2y^2
    • 3x^2y
    • 4x^2y^2
    • 3x^2y^3
  19. Evaluate (a + b)^2 − (a − b)^2 when a = 2 and b = −1.

    • −8
    • −4
    • 0
    • 8
  20. Pens cost £3 each and pencils cost 50p each. Write, in pounds, the total cost of x pens and (x + 2) pencils in simplest form.

    • 3.5x + 1
    • 2.5x + 1
    • 3.5x + 2
    • 3x + 1

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