Advanced Math Practice Midterm Exam

Represent the inequality expression shown below in interval notation

 $-4\le x\le2$  

•  $\left[-4,2\right]$  

•  $\left(-4,2\right)$  

•  $\left[-4,2\right)$  

•  $\left(-4,2\right]$  

Which of the following is NOT an irrational number?

• $\sqrt{3}$

• $\sqrt{11}$

• $\pi$

• $\sqrt{16}$

True or False:

A real number can be both rational and irrational at the same time.

• True

• False

Convert the following angle into radians. State your final answer as a simplified fraction.

 $320\degree$  

•  $\frac{16\pi}{9}$  

•  $\frac{320\pi}{180}$  

•  $\frac{576000}{\pi}$  

•  $\frac{16}{9}$  

Convert the following angle into degrees. You do not have to type the degree symbol with your answer.

 $\frac{2\pi}{5}$  

In which quadrant is the following angle located in?

 $-198\degree$  

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

In which quadrant is the following angle located in?

 $750\degree$  
Hint: Find a smaller coterminal angle to help you determine the position.

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

Use the triangle shown above to evaluate cos 𝝧.

Type answer as a simplified fraction in the form a/b.

Use the triangle shown above to evaluate sec 𝝧.

Type answer as a simplified fraction in the form a/b.

Use the triangle shown above to evaluate tan 𝝧.

Type answer as a simplified fraction in the form a/b.