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Math Pop Quiz

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Answer the following questions below in your notebook.
Time: 30 Mins
1. Factorise the following completely:
a. 8 x​2​ - 12 x
b. x (a-b) - y (b-a)
2. Given that x = -2 , y = 4 and z = 5, evaluate the following
8 x + 4 y - (x​2​ - z)
3.
a. The number 360 is written as a product of its prime factors 360 = 2​3​ x 3​2​ x 5
i.
Write 108 as a product of its prime factors.
ii.
Hence, find the smallest possible value of x such that 108x is a multiple of
360.
b. Find the smallest integer y such that y is a perfect cube.
4.
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