Unit 4 Test

If y varies directly as x, and x = 9 when y = 15, find y when x = 33.

• 27

• 20

• 55

• 4

Which represents the equation of a direct variation?

• y = mx + b

• y = k/x

• y = kx

• y = x

The number of calories burned while jogging varies directly with the number of minutes spent jogging. If Jack burns 150 calories by jogging for 20 minutes, how many calories does he burn by jogging for 30 minutes?

• 100 calories

• 180 calories

• 200 calories

• 225 calories

Find the horizontal asymptote:

• y = 0

• y = 1

• None

• y = 3/2

What is the horizontal asymptote of the function?

• y=0
• y=1/3
• none

What (if any) holes exist?

• x=2

• x=2 and x=3

• x=-3

• x=3

Simplify: 

 $\frac{3x}{10x^2}+\frac{7}{5x^2}$  

•  $\frac{2}{3x^3}$  

•  $\frac{3x+7}{10x^2}$  

•  $\frac{1}{x^2}$  

•  $\frac{3x+14}{10x^2}$  

Simplify:

 $\frac{2x}{5x}-\frac{3}{x+7}$  

•  $\frac{2x^2-x}{5x\left(x+7\right)}$  

•  $\frac{7x-21}{5x\left(x+7\right)}$  

•  $\frac{2x^2+29x}{5x\left(x+7\right)}$  

•  $\frac{2x^2-14x\ }{5x\left(x+7\right)}$  

Simplify: 

 $\frac{6x}{2}-\frac{5x}{8x}$  

•  $\frac{48x^2-5x}{2\left(8x\right)}$  

•  $\frac{24x^2-5x}{8x}$  

•  $\frac{19x}{8x}$  

•  $\frac{24x^2-10x}{8x}$  

Simplify the expression

• n / 2m 
• n / 3m 
• (m² + 4n²) / 12m
• n / 4m