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## Question 1

Find the distance between the points of intersection of the functions
$$f(x) = 1.5x^2 – 3.2x + 11$$ and $$g(x) = -x^2 + 4.3x + 81$$.

## Question 2

Find the equation of a sideways semicircle shown below. ## Question 3

Find the sum of the sequence.
$$1 + 4\frac{8}{9} + 7\frac{4}{9} + 10\frac{2}{9} + . . . + 40\frac{1}{4608} =$$

## Question 4

At a dodgeball tournament this weekend, there will be 16 girls and 13 boys. 7 girls will be wearing green t-shirts, 9 girls will be wearing orange tshirts, 4 boys will be wearing purple t-shirts and the rest of the boys will be wearing brown tshirts. You pick a team of 10 kids. What is the probability that you will pick 7 girls for the team, and at least 6 of them will be wearing orange t-shirts?

## Question 5

How will the volume of a cone change if its height increases by a factor of $$\frac{4}{7}$$ and the radius decreases by a factor of $$\frac{2\sqrt{5}}{3}$$?

## Question 6

Find the recursive formula for the nth term of the sequence:
$$6 , 9 , 14 , 21 , 30 . . .$$

## Question 7

$$2 + \frac{2}{2 + \frac{2}{2 + \frac{2}{2 + \frac{2}{2 + \frac{2}{2 + \frac{2}{3}}}}}} =$$

## Question 8

1 – 2 ( 1 – 2(1 – 2(1 – 2(1 – 2(1 – 5))))) =

## Question 9

$$f(x) = -\frac{3}{2x}$$, find the equation of $$f(f(f(f(f(f(f(f(x))))))))$$.

## Question 10

At how many points does the function f(x) = |-|x^2 + x – 6| + 6| intersect the function g(x) = 12?

## Question 11

Find the shortest distance from (-5, 4) to the circle described with the equation $$x^2 + y^2 – 14x + 10y + 10 = 0$$.

## Question 12

What is the ratio between the longer leg and the shorter leg of the right triangle if its hypotenuse is 3 times longer than one of the legs?

## Question 13

Find two numbers if their sum is equal to 10 and their product is equal to 22.

## Question 14

$$\sqrt{16} = 2$$ because $$2^4 = 16$$
However, $$(2i)^4$$ also equals 16.
How come $$\sqrt{16}$$ isn’t 2i?

## Question 15

Simplify.
$$\frac{x^{32 – 1}}{x – 1} =$$

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