4.30 Intro to Rational Functions

4.30 Intro to Rational Functions

Multiple Choice

Factor

x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 9)(x - 4)

• (x - 12)(x + 3)

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Multiple Choice

12/16

• 3/4
• 6/8
• 1/2
• 4/5

Multiple Choice

10/12

• 4/3
• 5/6
• 2/3
• 1/2

Multiple Choice

 $Simplify\ \ \frac{15x^2}{5x^3}$  

for what value of x is the expression undefined?   

• 3x

•  $\frac{3}{x}$  

•   $\frac{x}{3}$  

•   $\frac{5}{x}$  

Multiple Choice

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

Multiple Choice

Find the excluded value(s). $\frac{45}{10x-10}$  

• a = 0

• a = 10

• a = 1

• a = -1

Multiple Choice

 $\frac{\left(x\ +\ 1\right)\left(x-4\right)}{\left(x-4\right)\left(x+7\right)}$  
State the values of x that must be excluded to prevent division by zero.

• -1, 4, and -7

• -1 and 4

• -4 and 7

• 4 and -7

Multiple Choice

Find the excluded value(s). $\frac{x-5}{x^2-10x+25}$  

• v = 5

• v = 10

• v = -25

• v = -5

Multiple Choice

 $Simplify:\ \ \frac{x^2+7x+12}{x^2+4x}$  

•  $\frac{x+3}{x+4}$  

•  $\frac{x-3}{x}$  

•  $\frac{x+3}{x}$  

•  $\frac{x+3}{x^2}$  

Multiple Choice

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

•  $\frac{x-1}{x+7}$  

•  $\frac{x+1}{x+7}$  

•  $\frac{x-1}{x-7}$  

•  $\frac{x+1}{x-7}$  

Multiple Choice

Simplify.

• $\frac{1}{n-7}$

• $n-7$

• $\frac{n-6}{n-7}$

• $n-6$

Multiple Choice

Simplify.

• $\frac{x+6}{x-4}$

  
  

• $\frac{x+6}{x+4}$

• $x+6$

• $\frac{x+6}{x-5}$

Assignment

IXL Alg 2 O.4 Simplify Rational Expressions (see recommendations)