Add/Sub Rational Expressions

Add/Sub Rational Expressions

Rationals are fractions that include polynomials

Remember...to add or subtract rationals, you must have a COMMON DENOMINATOR

Remember...we are not going to subtract rationals, but instead ADD A NEGATIVE

Multiple Choice

 $\frac{3}{5}+\frac{6}{5}=$  

•  $\frac{9}{10}$  

•  $\frac{9}{5}$  

•  $\frac{3}{5}$  

•  $\frac{18}{25}$  

Multiple Choice

 $\frac{2}{5}-\frac{3}{10}=$  

•  $-\frac{1}{5}$  

•  $\frac{-1}{10}$  

•  $\frac{1}{10}$  

•  $\frac{1}{5}$  

Multiple Choice

 $\frac{2}{x+5}+\frac{6}{x+5}=$  

•  $\frac{8}{x+5}$  

•  $\frac{8}{\left(x+5\right)^2}$  

•  $-\frac{4}{x+5}$  

•  $\frac{8}{2x+10}$  

Multiple Choice

 $\frac{3x+1}{2x+8}+\frac{5}{x+4}=$  

•  $\frac{3x+6}{2x+8}$  

•  $\frac{3x+11}{2\left(x+4\right)}$  

•  $\frac{6}{x+4}$  

•  $\frac{6x+7}{2\left(x+4\right)}$  

Multiple Choice

 $\frac{4x}{x^2-4}-\frac{3}{x-2}=$  

•  $\frac{7x-2}{\left(x+2\right)\left(x-2\right)}$  

•  $\frac{4x-2}{\left(x+2\right)\left(x-2\right)}$  

•  $\frac{7x+2}{\left(x+2\right)\left(x-2\right)}$  

•  $\frac{\left(x-6\right)}{\left(x+2\right)\left(x-2\right)}$  

Multiple Choice

 $\frac{4}{x+4}+\frac{2}{x-3}=$  

•  $\frac{6x-4}{\left(x+4\right)\left(x-3\right)}$  

•  $\frac{6}{\left(x+4\right)\left(x-3\right)}$  

•  $\frac{6x+10}{\left(x+4\right)\left(x-3\right)}$  

•  $\frac{2x+4}{\left(x+4\right)\left(x-3\right)}$  

Multiple Choice

 $\frac{5x}{x^2+6x+5}-\frac{2}{x+5}=$  

•  $\frac{5x-1}{\left(x+5\right)\left(x+1\right)}$  

•  $\frac{5x^2-1}{\left(x+5\right)\left(x+1\right)}$  

•  $\frac{3x-2}{\left(x+5\right)\left(x+1\right)}$  

•  $\frac{7x+2}{\left(x+5\right)\left(x+1\right)}$