Final Exam Review #4

Final Exam Review #4

Simplifying Complex Fractions and Solving Rational Equations

Simplifying Complex Fractions

• Watch this short video for a review of simplifying complex fractions

• (The video is on the next slide.)

Multiple Choice

Simplify:  $\frac{1-\frac{2}{3x}}{x-\frac{4}{9x}}$  

•  $\frac{3}{3x+2}$  

•  $\frac{3}{3x-2}$  

•  $\frac{1}{x-2}$  

•  $\frac{1}{x+2}$  

Multiple Choice

Simplify:  $\frac{\frac{1}{y}+7}{\frac{1}{y}-5}$  

•  $\frac{1+7y}{1-5y}$  

•  $\frac{7+y}{5-y}$  

•  $\frac{y+7}{y-5}$  

•  $\frac{7\left(1+y\right)}{5\left(1-y\right)}$  

Multiple Choice

• A

• B

• C

• D

Solving Rational Equations

• Watch the video on the next slide for a reminder of how to solve a rational equation.

Multiple Select

Choose all the correct solutions for 

 $\frac{x}{x-4}+\frac{2}{x+3}=\frac{16}{x^2-x-12}$  

• x = -8

• x = -6

• x = 3

• x = 4

Multiple Choice

Solve the equation for x.

• 7
• 6
• 14
• 0

Multiple Choice

Solve.

• x = 5

• x = -3

• x = 3

• x = -5

Multiple Choice

Solve by cross-multiplying.

• x = 2
• No Solution
• x = -10
• x = 10