Rational Equations

Solve x. Remember to check for extraneous solutions. $\frac{x-3}{x}=\frac{9}{10}$  

Tags

CCSS.HSA.REI.A.2

Solve for b. Remember to check for extraneous solutions. $\frac{7}{9}=\frac{b}{b-10}$  

Tags

CCSS.HSA.REI.A.2

Solve for k. Remember to check for extraneous solutions. $\frac{9}{k-7}=\frac{6}{k}$  

Tags

CCSS.HSA.REI.A.2

Solve each equation. Remember to check for extraneous solutions.

 $\frac{1}{3}=\frac{\left(4x+24\right)}{x}-\frac{2}{x}$  

•  $x=-3$  

•  $x=-6$  

•  $x=-6\ and\ x=6$  

•  $x=2$  

Tags

CCSS.HSA.REI.A.2

Solve for a. Remember to check for extraneous solutions.

 $\frac{\left(a-4\right)}{a^2}+\frac{1}{a^2}=\frac{6}{a}$  

•  $a=\frac{1}{4}$  

•  $a=-1$  

•  $a=1$  

•  $a=3$  

Tags

CCSS.HSA.REI.A.2

Solve for k. Remember to check for extraneous solutions.

 $\frac{1}{2}=\frac{1}{6}+\frac{1}{2k}$  

•  $k=-\frac{7}{6}$  

•  $k=\frac{3}{2}$  

•  $k=-5\ and\ k=2$  

•  $k=2$  

Tags

CCSS.HSA.REI.A.2

Solve for p. Remember to check for extraneous solutions.

 $\frac{\left(p+5\right)}{10p+12}-\frac{1}{10p+12}=\frac{2}{5p+6}$  

•  $p=-5$  

•  $p=\frac{8}{5}$  

•  $p=5$  

•  $p=0$  

Tags

CCSS.HSA.REI.A.2

Solve for k. Remember to check for extraneous solutions.

 $\frac{\left(k+6\right)}{k^2+k}-\frac{1}{k}=\frac{1}{k+1}$  

•  $k=2$  

•  $k=-3$  

•  $k=-5$  

•  $k=5$  

Tags

CCSS.HSA.REI.A.2

Solve for x. Remember to check for extraneous solutions.
 $\frac{4}{x}=\frac{x^2-2x-3}{x^2}+\frac{x+3}{x^2}$  

•  $x=5$  

•  $x=4\ and\ x=-3$  

•  $x=1\ and\ x=-3$  

•  $x=-3$  

Tags

CCSS.HSA.REI.A.2

Solve for x. Remember to check for extraneous solutions. $\frac{1}{4}=\frac{x+2}{2}-\frac{5x+15}{2x}$  

•  $x=6\ and\ x=-\frac{5}{2}$  

•  $x=-\frac{5}{2}$  

•  $x=\frac{5}{2}$  

•  $x=\frac{5}{2}\ and\ x=-\frac{5}{2}$  

Tags

CCSS.HSA.REI.A.2