DL: W3 - Solving Rational Expressions

Solve the following: $\frac{2}{x-3}=\frac{5}{2x+1}$   

•  $x=17$  

•  $x=\frac{17}{9}$  

•  $x=-17$  

•  $extraneous\ \ \ \ solution\left(s\right)$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

Solve the following: $\frac{x}{x^2-49}=\frac{2x}{x+7}$   

•  $x=0$  

•  $x=\frac{15}{2}$  

•  $x=0,\ \frac{15}{2}$  

•  $extraneous\ \ \ \ solution\left(s\right)$  

Tags

CCSS.HSA.REI.A.2

Solve the following: $\frac{3}{x+1}=\frac{1}{x}$   

•  $x=2$  

•  $x=\frac{1}{2}$  

•  $x=-2$  

•  $extraneous\ \ \ \ solution\left(s\right)$  

Tags

CCSS.HSA.REI.A.2

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

•  $x=2$  

•  $x=\frac{1}{2}$  

•  $x=-2$  

•  $extraneous\ \ \ \ solution\left(s\right)$  

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve the following: $\frac{5}{x-2}=\frac{1}{x+3}$   

•  $x=\frac{17}{4}$  

•  $x=\frac{-17}{4}$  

•  $x=\frac{4}{17}$  

•  $extraneous\ \ \ \ solution\left(s\right)$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve the following: $\frac{x}{x+3}=\frac{8}{x+6}$   

•  $x=-4$  

•  $x=6$  

•  $x=-4,\ 6$  

•  $extraneous\ \ \ \ solution\left(s\right)$  

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve the following: $\frac{5}{x-2}=\frac{3}{x}$   

•  $x=-3$  

•  $x=-\frac{5}{2}$  

•  $x=-\frac{5}{2},\ 3$  

•  $extraneous\ \ \ \ solution\left(s\right)$  

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve the following: $\frac{2}{x+1}-\frac{1}{x-1}=\frac{-\ 2}{x^2-1}$   

•  $x=1$  

•  $x=-1,\ 1$  

•  $x=-1$  

•  $extraneous\ \ \ \ solution\left(s\right)$  

Tags

CCSS.HSA.REI.A.2

Solve the following: $\frac{7}{x+3}=\frac{x}{4}$   

•  $x=-7$  

•  $x=4$  

•  $x=-7,\ 4$  

•  $extraneous\ \ \ \ solution\left(s\right)$  

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve the following: $\frac{x}{2x-3}=\frac{3x}{x+11}$   

•  $x=0,\ 4$  

•  $x=4$  

•  $x=0$  

•  $extraneous\ \ \ \ solution\left(s\right)$  

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3