## American College Testing (ACT)

Simplify the following expression:

^{𝑥}

^{𝑦}

^{3}

^{𝑥 - 𝑦}

^{𝑥 + 𝑦}

^{3}

Simplify the following fraction:

What is the range of the following set of numbers?

**57, 96, -38, -94, 86, 37, -62, -7, -87, 94**

A circle is drawn in the standard (𝑥, 𝑦) coordinate plane. Points A and B lie on the circle, and when they are connected, they form a diameter. If point A is at (9, 9) and point B is at (-5, -3), what are the coordinates of the center of the circle?

For **𝑦 = ((4𝑥 + 8)/2) ^{2} - 9(𝑥/2)**, what does 𝑦 equal when 𝑥 = 6?

Spencer is looking to rent a car. They find one company that charges a $67 flat fee and also a $0.86 fee per mile. Because Spencer is a nice person, the company decides to cut them a deal and give them 164 free miles. Which of the following expressions correctly models the amount, A, in dollars, that Spencer will have to pay if they travel *m* miles, assuming that they travel over 164 miles?

*m*)

*m*)

*m*

*m*) ÷ 0.86

*m*

If ** f(𝑥) = 6𝑥 + 9** and

**what is**

*g*(𝑥) = 7𝑥 - 3**?**

*f*(9) -*g*(9)