Test Review (Checkpoint #6)

Simplify. 

• (m+6)/(m-3)
• 7/(m-3)
• 7(m+6)
• (m-3)

• (x-1)

• (x-2)(x+2)

• (x+1)(x-1)

• (x+1)

Complete Step 1:  FACTOR
 $\frac{x^2\ -5x\ +\ 6}{x^2-4}\cdot\frac{\left(x\ +6\right)\left(x\ +\ 5\right)}{x^2+2x\ -15}$  

•  $\frac{\left(x\ -\ 3\right)\left(x\ -\ 2\right)}{\left(x\ +\ 2\right)\left(x\ -\ 2\right)}\cdot\frac{\left(x\ +\ 6\right)\left(x\ +\ 5\right)}{\left(x\ +\ 5\right)\left(x\ -\ 3\right)}$  

•  $\frac{\left(x\ +\ 6\right)\left(x\ -\ 1\right)}{\left(x\ +\ 2\right)\left(x\ -\ 2\right)}\cdot\frac{\left(x\ +\ 6\right)\left(x\ +\ 5\right)}{\left(x\ -5\right)\left(x\ -3\right)}$  

Complete Step 1: Multiply by the reciprocal or KFC (Keep, Flip, Change)
 $\frac{3\left(x-9\right)}{x^2-36}\div\frac{x-9}{x^2-x-30}$  

•  $\frac{x^2-36}{3\left(x-9\right)}\cdot\frac{x^2-x-30}{x-9}$  

•  $\frac{3\left(x-9\right)}{x^2-36}\cdot\frac{x^2-x-30}{x-9}$  

 $\frac{b-4}{b^2-14b+40}\div\frac{b^2+6b+8}{b^2-3b-70}$  

•  $\frac{b-3}{6}$  

•  $\frac{2b}{9}$  

•  $\frac{5b\left(b-6\right)}{7}$  

•  $\frac{b+7}{\left(b+4\right)\left(b+2\right)}$  

Divide the Rational Expression
 $\frac{x^2-4x-5}{x^2-3x+2}\div\frac{x^2-3x-10}{x^2-4}$  

•  $\frac{x-5}{x-1}$  

•  $\frac{x+1}{x-1}$  

•  $\frac{1}{x-1}$  

•  $x+1$  

Solve for the values of x:

(2x - 1)(x + 4) = 0

• x = 1/2 or -4

• x = 1/2 or 4

• x = 2 or -4

• x = -2 or 4

• 2 and 3

• -2 and -3

• 2 and -3

• -2 and 3