Unit 4 Review

Multiple Choice

Which of the following represents direct variation?

• y = kx
• y = k/x
• y = x/k
• y = mx + b

Multiple Choice

Which equation represents inverse variation?

• $$y=kx$$

• $$y=\frac{x}{k}$$

• $$y=\frac{k}{x}$$

• $$x=ky$$

Multiple Choice

If y varies directly with x and y = 12 when x = 3, what is the value of y when x = 18?

• 0.25

• 4

• 4.5

• 72

Multiple Choice

On a roller coaster, the distance between seats varies inversely to the number of seats. On a new roller coaster at Disney, one ride is going to have 80 seats spaced 16 meters apart. What is the constant of variation?

• 1280

• 5

• $$\frac{1}{5}$$

• $$\frac{1}{1280}$$

Multiple Choice

What is the Horizontal Asymptote? 

• y= 5
• y= -6
• y= 1
• y= 5/-6

Multiple Choice

What is the X-Intercept?

• x= 0
• x= 4
• x= 5
• x= -5

Multiple Choice

Where is the hole located in the function?

• (2,4)

• (2,3)

• (4,2)

• (5,3)

Multiple Choice

What are the x-intercepts?

• x= 2/3
• x= 4, x = -2
• x= -8, x = 1
• x= -4, x = 2

Multiple Choice

What are the asymptotes?

• x = -1         y = -3
• x = 1          y = -3
• x = -1         y = 3
• x = 1          y = 3

Multiple Choice

Simplify: 

$$\frac{3x}{10x^2}+\frac{7}{5x^2}$$  

• $$\frac{2}{3x^3}$$  

• $$\frac{3x+7}{10x^2}$$  

• $$\frac{1}{x^2}$$  

• $$\frac{3x+14}{10x^2}$$  

Multiple Choice

Simplify:

$$\frac{3}{x-1}+\frac{5}{6x}$$  

• $$\frac{23x-5}{6x\left(x-1\right)}$$  

• $$\frac{13x-5}{6x\left(x-1\right)}$$  

• $$\frac{13x-5}{6x^2}$$  

• $$17x-6$$  

Multiple Choice

Simplify:

$$\frac{3}{x+4}+\frac{2}{x-2}$$  

• $$\frac{5x+2}{\left(x+4\right)\left(x-2\right)}$$  

• $$\frac{3x-6}{\left(x-2\right)\left(x+4\right)}$$  

• $$\frac{5x-10}{\left(x-2\right)\left(x+4\right)}$$  

• $$\frac{6x+24}{\left(x-2\right)\left(x+4\right)}$$  

Multiple Choice

Simplify: 

$$\frac{7x}{15}-\frac{2x}{3}$$  

• $$\frac{17x}{15}$$  

• $$\frac{3x}{15}$$  

• $$\frac{19x}{45}$$  

• $$\frac{-3x}{15}$$