Unit 5 Practice Test Part 1

Graphing

Make the graph of a line for the equation $$y=\frac{1}{2}x+3$$ .

Math Response

Write the equation of a sine function that has an amplitude of 5, a period of $$\pi$$ , and a midline of $$y=-3$$ . Don't forget to start your equation with $$y=$$ .

Type answer here

Correct Answer: y=5\sin\left(2x\right)-3

Deg^°

Rad

Multiple Choice

Convert $$\frac{5\pi}{3}$$ radians into degrees.

• 450 degrees
• 300 degrees
• 150 degrees
• 120 degrees

Multiple Choice

Convert $$-200\degree$$ into radians

• $$-\frac{10\pi}{9}$$

• $$-\frac{9\pi}{10}$$

• $$-\frac{5\pi}{4}$$

• $$-\frac{4\pi}{5}$$

Multiple Choice

Find the arc length for a central angle of $$60\degree$$ of a circle with a radius of 15 cm.

• 10π cm
• π cm
• 3π cm
• 20π cm
• 5π cm

Multiple Choice

Mr. Chao ordered a 20 inch diameter pizza from Pizza Planet. He ate some pizza and left the crust uneaten. He measured the leftover crust and had about 42 inches of crust. Which is the best answer for how many radians of the pizza he ate?

• $$\frac{\pi}{2}$$

• $$\frac{3\pi}{2}$$

• $$2\pi$$

• $$\frac{4\pi}{3}$$

• $$\frac{3\pi}{4}$$

Multiple Choice

What is the value of $$\sin210\degree$$ ?

• $$\frac{\sqrt[]{2}}{2}$$

• $$-\frac{\sqrt[]{2}}{2}$$

• $$\frac{1}{2}$$

• $$-\frac{1}{2}$$

• $$-\frac{\sqrt[]{3}}{2}$$

Multiple Choice

What is the value of $$\cos\left(-45\degree\right)$$ ?

• $$\frac{\sqrt[]{2}}{2}$$

• $$-\frac{\sqrt[]{2}}{2}$$

• $$\frac{1}{2}$$

• $$-\frac{1}{2}$$

• $$-\frac{\sqrt[]{3}}{2}$$

Multiple Choice

What is the value of $$\cos\left(\frac{3\pi}{2}\right)$$ ?

• $$0$$

• $$-\frac{\sqrt[]{2}}{2}$$

• $$\frac{1}{2}$$

• $$-\frac{1}{2}$$

• $$-\frac{\sqrt[]{3}}{2}$$

Multiple Choice

What is the value of $$\sin\left(\frac{3\pi}{4}\right)$$ ?

• $$\frac{\sqrt[]{2}}{2}$$

• $$-\frac{\sqrt[]{2}}{2}$$

• $$\frac{1}{2}$$

• $$-\frac{1}{2}$$

• $$-\frac{\sqrt[]{3}}{2}$$