6.1 Additional Practice

Solve the following rational equation:

 $\frac{x}{x-2}-7=\frac{2}{x-2}$  

•  $x=2$  

•  $x=-2$  

•  $x=\frac{8}{3}$  

• no solution

Tags

CCSS.HSA.REI.A.2

Solve the following rational equation:

 $8=\frac{3x-1}{2x+3}$  

•  $x=-\frac{25}{13}$  

•  $x=\frac{25}{13}$  

•  $x=\frac{1}{2}$  

• no solution

Tags

CCSS.HSA.REI.A.2

Solve the following rational equation:

 $1+\frac{1}{5x}=\frac{3}{5x}$  

•  $x=\frac{2}{5}$  

•  $x=\frac{5}{2}$  

•  $x=-\frac{5}{2}$  

•  $x=\frac{4}{5}$  

Tags

CCSS.HSA.REI.A.2

Solve the following rational equation

 $\frac{2k+8}{3k^3}+\frac{k-2}{6k^2}=\frac{2}{3k}$  
(Select all that apply)

•  $x=\frac{8}{3}$  

•  $x=-2$  

•  $x=2$  

•  $x=-14$  

Tags

CCSS.HSA.REI.A.2

Solve the following rational equation:

 $\frac{4n-8}{n^2}=\frac{1}{2n}-\frac{1}{4}$  
(select all that apply)

•  $n=2$  

•  $n=16$  

•  $n=-16$  

•  $n=-9$  

Solve the rational equation

 $\frac{1}{3}=\frac{p^2-8p+15}{p}+\frac{1}{p}$  
(select all that apply)

•  $p=3$  

•  $p=\frac{16}{3}$  

•  $p=-\frac{16}{3}$  

•  $p=5$  

Tags

CCSS.HSA.REI.A.2

Solve the following rational equation

 $\frac{x+1}{x}+\frac{1}{x}=\frac{x-6}{x+2}$  
(select all that apply)

•  $x=-\frac{2}{5}$  

•  $x=\frac{2}{5}$  

•  $x=-4$  

•  $x=-1$  

Tags

CCSS.HSA.REI.A.2

Solve the following rational equation

 $m+2+\frac{m-3}{6m}=\frac{1}{3m}$  
(select all that apply)

•  $m=\frac{1}{3}$  

•  $m=-\frac{5}{2}$  

•  $m=0$  

•  $m=4$  

Tags

CCSS.HSA.REI.A.2

Solve the following rational equation
 $\frac{x^2+x-12}{3x^2-18x+15}+\frac{x}{3x-15}=\frac{2}{3}$  
(select all that apply)

•  $x=\frac{11}{6}$  

•  $x=5$  

•  $x=-\frac{11}{2}$  

•  $x=1$  

Tags

CCSS.HSA.REI.A.2

 $\frac{7n^2-n}{n+9}=2n-1$  

Solve the following rational equation

•  $n=\frac{3}{5}$  

•  $n=3$  

•  $n=-\frac{5}{3}$  

•  $n=\frac{5}{3}$  

Tags

CCSS.HSA.REI.A.2