Simplifying Rational Expressions 1

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

 State the domain restrictions.

• -2 and 5

• 2 and -5

• 0, 2, and -5

• 0, -2, and 5

 $\frac{\left(x\ +\ 1\right)\left(x-4\right)}{\left(x-4\right)\left(x+7\right)}$  
State the domain restrictions

• -1, 4, and -7

• -1 and 4

• -4 and 7

• 4 and -7

 $\frac{\left(x-3\right)\left(x+4\right)}{x\left(x-3\right)}$  
State the values of x that must be excluded to prevent division by zero.

• 0 and 3

• 0 and -3

• 3 and -4

• 0, 3, and -4

Tags

CCSS.HSF-IF.C.7D

 $Simplify:\ \ \frac{x^2+6x-7}{x^2-49}$  

•  $\frac{x-1}{x+7}$  

•  $\frac{x+1}{x+7}$  

•  $\frac{x-1}{x-7}$  

•  $\frac{x+1}{x-7}$  

Tags

CCSS.HSA.APR.D.6

 $Simplify:\ \ \frac{x^2+6x}{x^2+3x-18}$  

•  $\frac{x}{x+3}$  

•  $\frac{x}{x-3}$  

•  $\frac{x+6}{x-3}$  

•  $\frac{x}{x+6}$  

Tags

CCSS.HSA.APR.D.6

 $Simplify:\ \ \frac{x^2+7x+10}{x^2-4}$  

•  $\frac{x-5}{x+2}$  

•  $\frac{x-5}{x-2}$  

•  $\frac{x+5}{x+2}$  

•  $\frac{x+5}{x-2}$  

Tags

CCSS.HSA.APR.D.6

 $Simplify:\ \ \ \frac{x^2-4x-45}{x^2-81}$  

•  $\frac{x+5}{x-9}$  

•  $\frac{x+5}{x+9}$  

•  $\frac{x-5}{x-9}$  

•  $\frac{x-5}{x+9}$  

Tags

CCSS.HSA.APR.D.6

 $Simplify:\ \ \frac{x^8y^{12}}{x^4y^{15}}$  

•  $\frac{x^4}{y^3}$  

•  $\frac{x^{12}}{y^3}$  

•  $x^{12}y^{27}$  

•  $\frac{y^3}{x^4}$  

Tags

CCSS.HSA.APR.A.1

Simplify  $\frac{x+4}{x^2-2x+24}$  

•  $\frac{1}{x-6}$  

•  $x-6$  

•  $x+4$  

•  $\frac{1}{x+4}$  

Tags

CCSS.HSA.APR.D.6

Find the excluded value(s). $\frac{x}{x^2+x-12}$  

• x = - 3 and x = 4

• x = 3 and x = - 4

• x = 3 only

• x = - 4 only

Tags

CCSS.HSF-IF.C.7D