Exam-style Questions: Indices

  1. a) Simplify t4 x t2

    (1 mark)

    b) Solve

    (i) 3(x - 1) = x + 4

    (3 marks)

    (ii) 8x + 5 > 25

    (2 marks)

    c) Factorise 4x2 - 25

    (2 marks)

    d) (i) Factorise x2 + 7x + 6

    (ii) Hence solve the equation

    x2 + 7x + 6 = 0

    (1 mark)

    (Marks available: 9)

    Answer

    Answer outline and marking scheme for question: 1

    a) t6

    b) (i) x = 3.5

    (ii) x > 2.5 (24/8 or better)

    c) (2x + 5)(2x - 5)

    d) (i) (x + 1)(x + 6)

    (ii) -1 and -6

    (Marks available: 9)

  2. Simplify:

    (i) 54 x 53

    (ii) (32)4

    (Marks available: 2)

    Answer

    Answer outline and marking scheme for question: 2

    (i) 54 x 53 = 54 + 3 = 57

    (ii) (32)4 = 32 x 4 = 38 = 6561

    (Marks available: 2)