Add, Subtract, Multiply, Divide Rational Expressions

State the EXCLUDED VALUES for the rational expression:

 $\frac{x+5}{x-3}+\frac{2x^2}{x+6}$  

•  $x\ne-3,\ 6$  

•  $x\ne3,\ -6$  

•  $x\ne-5,\ 0$  

•  $x\ne3,\ 6$  

Tags

CCSS.HSA.APR.D.7

State the excluded values.  (Hint: set the denominator equal to 0 and solve for x to find excluded value)

 $\frac{3x+1}{4x-12}$  

• 3

• -3

• no restictions

• -1

Tags

CCSS.HSA.APR.D.7

State the excluded values.

 $\frac{2x+1}{x-11}$ 

• 11

• -11

• no restricitons

• 1/2

Tags

CCSS.HSA.APR.D.7

State the EXCLUDED VALUES of the rational expression:

 $\frac{3\left(x-5\right)}{\left(x-2\right)\left(x+1\right)}\cdot\frac{x^2-3x+9}{4\left(x-7\right)}$  

•  $x\ne5,\ 6,\ -1$  

•  $x\ne-2,\ 1,\ -7$  

•  $x\ne3,\ 5,\ 9$  

•  $x\ne2,\ -1,\ 7$  

Tags

CCSS.HSA.APR.D.7

Add the rational expressions:

 $\frac{4x-3}{x-1}+\frac{2x+7}{x-1}$  

•  $\frac{6x+4}{x-1}$  

•  $\frac{2x-10}{x-1}$  

•  $\frac{6x+10}{x-1}$  

•  $\frac{6x-4}{x-1}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Add the rational expressions:

 $\frac{3x-5}{x+5}+\frac{4x-3}{x+5}$  

•  $\frac{x+2}{x+5}$  

•  $\frac{12x-15}{x+5}$  

•  $\frac{7x+8}{x+5}$  

•  $\frac{7x-8}{x+5}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.7

Add the rational expressions:

 $\frac{4x^2-9x+3}{x+2}+\frac{6x+5}{x+2}$  

•  $\frac{4x^2+3x+15}{x+2}$  

•  $\frac{4x^2-15x+8}{x+2}$  

•  $\frac{4x^2-3x+8}{x+2}$  

•  $\frac{10x^2-3x-8}{x+2}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Subtract the rational expressions:

 $\frac{8x}{x+3}-\frac{4x+2}{x+3}$  

•  $\frac{2x+2}{x+3}$  

•  $\frac{4x-2}{x+3}$  

•  $\frac{12x+10}{x+3}$  

•  $\frac{4x+2}{x+3}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Subtract the rational expressions:

 $\frac{12x+3}{x+7}-\frac{4x-9}{x+7}$  

•  $\frac{8x+12}{x+7}$  

•  $\frac{3x-6}{x+7}$  

•  $\frac{16x-6}{x+7}$  

•  $\frac{8x-6}{x+7}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

MULTIPLY the rational expressions:

 $\frac{x^2-16}{x-2}\cdot\frac{x-2}{x^2+6x+8}$  

•  $\frac{x-2}{x+2}$  

•  $\frac{x-4}{x+2}$  

•  $\frac{x+4}{x-2}$  

•  $\frac{x+4}{x-2}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7