Exam-style Questions: Indices
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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 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)
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Simplify:
(i) 54 x 53
(ii) (32)4
(Marks available: 2)
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)