7.5 Solving Rational Equations Quiz

To solve this problem, what strategy could be used? $\frac{x+2}{x-5}=\frac{4}{x+4}$  

• square both sides

• divide each side by the LCD

• cross multiply

• cancel out the common factors

Tags

CCSS.HSA.REI.A.2

Solve  $\frac{2}{x+2}=\frac{8}{2x+6}$  

•  $x=-2$  

•  $x=-2,\ x=-3$  

•  $x=-1,\ x=-2,\ x=-3$  

•  $x=-1$  

Tags

CCSS.HSA.REI.A.2

 $\frac{3}{4x^2+4x}-\frac{2x}{x+1}=\frac{6}{x}$  What is the LCD for this equation?

•  $4x\left(x+1\right)$  

•  $x\left(4x^2+4\right)\left(x+1\right)$  

•  $x\notin R$  

•  $4x+4$  

Tags

CCSS.HSA.REI.A.2

What is the LCD for this equation? $\frac{2}{5x}+\frac{1}{3}=\frac{4}{15x}$  

•  $150x^2$  

•  $15x$  

•  $120x$  

•  $5x^2$  

Tags

CCSS.HSA.REI.A.2

Select the TWO true statements concerning extraneous solutions.

• In the check step, the equation is not valid when an extraneous solution is used.

• An extraneous solution causes the LCD to become the LCM

• An extraneous solution results when there are 2 solutions.

• An extraneous solution could cause a denominator to be undefined by becoming zero.

Tags

CCSS.HSA.REI.A.2

If  $\frac{x+1}{x+6}$  is added to  $\frac{1}{x}$  and their sum equals  $\frac{2x+1}{x+6}$  , solve for  $x$  

•  $x=-2,\ x=-3$  

•  $x=2,\ x=3$  

•  $x=2,\ x=-3$  

•  $x=-2,\ x=3$  

Tags

CCSS.HSA.REI.A.2

 $\frac{x+2}{x-2}=\frac{2x+4}{x+1}$  Solve and upload your work in google classroom. (Just copy down the problem and write anything you want in the space, like OK or HELLO. We will be grading these separately)

Tags

CCSS.HSA.REI.A.2

 $\frac{1}{x}-3=\frac{4x}{x+2}$  Solve and upload your work in google classroom. (Just copy down the problem and write anything you want in the space, like OK or HELLO. We will be grading these separately)

Tags

CCSS.HSA.REI.A.2