Simplify Rational Expressions

A rational expression is a ratio of (a)  

Tags

CCSS.HSA.APR.A.1

What is NOT a Rational Expression?

•  $\frac{x^3-25x}{\frac{3}{x}}$  

•  $\frac{x^3-25x}{2x^2-11x+5}$  

•  $6x^7+8x+25$  

•  $\frac{2}{5x}$  

Tags

CCSS.HSA.APR.D.7

A rational expression is simplified if its numerator and denominator have ______ common factors.

• 3

• 2

• 1

• 0

Tags

CCSS.HSA.APR.D.6

To simplify rational expressions, we can cancel common (a)   .

Tags

CCSS.HSA.APR.D.6

Find the domain of

 $\frac{x^2+8x+12}{x^2+3x-18}$  
Check all correct answers. 

•  $x\ne-2,\ x\ne-6$  

•  $x\ne3,\ x\ne-6$  

•  $\left(-\infty,-6\right)\cup\left(-6,\ 3\right)\cup\left(3,\infty\right)$  

•  $\left(-\infty,-6\right)\cup\left(-6,\ -2\right)\cup\left(-2,\infty\right)$  

•  $x\ne-2,\ x\ne3$  

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Simplify (to the simplified form) by canceling common factors:

 $\frac{60x^3}{12x^5}$  

•  $\frac{5x^3}{x^5},\ x\ne0$  

•  $\frac{60}{15x^2},\ x\ne0$  

•  $\frac{5}{x^2},\ x\ne0$  

•  $\frac{15}{3x^2},\ x\ne0$  

Tags

CCSS.HSA.APR.D.7

Simplify the expression:

 $\frac{30x^3y}{15xy^2}$  

•  $\frac{x^2y}{2},\ x,\ y\ne0$  

•  $2x^2,\ x,\ y\ne0$  

•  $\frac{2x^2}{y},\ x,\ y\ne0$  

•  $\frac{x^2}{2y},\ x,\ y\ne0$  

Tags

CCSS.HSA.APR.D.6

Simplify the expression:

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

(a)  

Tags

CCSS.HSA.APR.D.6

Simplify the expression:

 $\frac{12-x}{x-12}$  

(a)  

Tags

CCSS.HSA.APR.D.6

Simplify the expression:

 $\frac{2x-4}{x-2}$  

(a)  

Tags

CCSS.HSA.APR.D.6