Adv Math: Solving Rational Equations

Adv Math: Solving Rational Equations

Fill in the Blank

 $\frac{2}{3}+\frac{1}{5}=\frac{1}{x}$  

 $x=$  
Leave answer as improper fraction.

Multiple Select

 $1-\frac{2}{a}=\frac{15}{a^2}$  
There are two solutions for a. Select the two correct answers from the list.

•  $-5$  

•  $-3$  

•  $0$  

•  $3$  

•  $5$  

Fill in the Blank

Solve:

 $\frac{1}{x-1}=\frac{2}{3x}$  
 $x=$  

Fill in the Blank

Solve 

 $\frac{5}{y+3}+\frac{2}{y-3}=\frac{5}{y^2-9}$   $y=$  

Multiple Choice

Solve:  $\frac{2}{x+5}-\frac{1}{x-1}=1$  

•  $x=1,\ x=2$  

•  $x=-1,\ x=-2$  

•  $x=1,\ x=-5$  

• no solution

Multiple Choice

 $\frac{x+13}{x^2-7x+10}=\frac{6}{x-5}-\frac{4}{x-2}$  Solve: 

•  $x=2$  

•  $x=5$  

•  $x=7$  

•  $x=-10$  

• no solution

Multiple Choice

 $\frac{y-14}{y^2+3y-4}=\frac{2}{y+4}+\frac{7}{y-1}$  

•  $y=-4$  

•  $y=1$  

•  $y=-5$  

•  $y=-3$  

• no solution

Fill in the Blank

Solve. If there are two correct answers, enter them from least to greatest with a comma between them. No spaces.

 $\frac{x}{18}+\frac{x+6}{9x}=\frac{2}{3x}$  
 $x=$  

Fill in the Blank

Solve. If there are two correct answers, enter them from least to greatest with a comma between them. No spaces.

 $\frac{y}{y+8}=\frac{128}{y^2-64}+9$  
 $y=$  

Multiple Choice

Solve for x:  $\frac{2}{x+2}+\frac{5}{x-2}=\frac{6}{x^2-4}$  

• 7

• 6

• 14

• 0

Multiple Choice

Solve:  $\frac{3}{x-5}-\frac{20}{x^2-25}=\frac{2}{x+5}$  

•  $x=-5$  

•  $x=5$  

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

• No Solution

Multiple Choice

Solve for x:  $\frac{5}{3}-\frac{2}{x}=\frac{8}{x}$  

•  $2$  

•  $\frac{18}{5}$  

•  $\frac{26}{5}$  

•  $6$