Rational Expressions and Equations

In a direct variation, y = 39 when x = 3. 
Find the value of y when x = 2.

• 26
• 3
• 58.5
• 2

The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

• $2
• $308
• $1.57
• $265

What type of variation does this scenario represent?
The outside temperature
and the number of layers of clothes you need to wear outside to feel comfortable 

• direct variation
• inverse variation
• joint variation
• none of these

State what type of variation the equation represents.

• Direct

• Inverse

• Joint

• None

If m varies directly as p, and m = 35 when p = 5, find m when p is 6.

• 42

• 36

• 25

• 49

Simplify:  $\frac{8x\left(3x+5\right)\left(x+7\right)^2}{32x\left(x+7\right)\left(3x-5\right)}$  

•  $\frac{\left(3x+5\right)\left(x+7\right)}{4\left(3x-5\right)}$  

•  $\frac{x+7}{4}$  

•  $\frac{3x+5}{4\left(3x-5\right)}$  

•  $\frac{1}{4}$  

Simplify:  $\frac{10x^3-25x^2}{20x^2-50x}$  

•  $\frac{x^2}{x}$  

•  $\frac{5x^2}{10}$  

•  $\frac{x}{2}$  

•  $\frac{1}{2}$  

Simplify:  $\frac{x^2-25}{x-5}$  

•  $\frac{1}{x+5}$  

•  $x+5$  

•  $x-5$  

•  $\frac{1}{x-5}$  

Solve for x.  $\frac{-8}{x+6}=\frac{3}{2x}$  

•  $x=-\frac{6}{19}$  

•  $x=\frac{19}{18}$  

•  $x=-\frac{18}{13}$  

•  $x=-\frac{18}{19}$  

Solve for x.  $\frac{x}{x-3}+\frac{x}{x+3}=\frac{x+15}{x^2-9}$  

•  $x=-12$  

•  $x=-12\ and\ x=3$  

•  $x=12$  

•  $x=-3$