Algebra 2 Rational Equations Test

Simplify: (x²+11x+24)/(x²+4x-32)

• A.(x+7)/(x+4)

• B.(x-1)(x+12)/(x+8)(x-4)

• C.(x+3)/(x+4)

• D.(x+3)/(x-4)

Simplify

(x²-49)/(x²+9x+14)

• (x-7)/(x+2)

• (x+7)/(x+2)

• (x-7)/(x-2)

• (x-7)(x-7)/(x+2)(x+7)

Add

 $\frac{3x-2}{x+2}+\frac{2x}{4x-1}$  

•  $\frac{14x^2-7x+2}{4x^2+7x-2}$  

•  $\frac{4x^2-7x+2}{4x^2+7x-2}$  

•  $\frac{9x^2-7x+2}{4x^2+7x-2}$  

•  $\frac{14x^2-7x+6}{x^2+7x-2}$  

Subtract

 $\frac{x}{2x+3}-\frac{2x+1}{2x-3}$  

•  $\frac{-2x^2-11x-3}{4x^2+12x-9}\$  

•  $\frac{-2x^2-11x-3}{4x^2-9}$  

•  $\frac{-2x^2+5x+3}{4x^2-12x-9}\$  

•  $\frac{-2x^2+5x+3}{4x^2-9}\$  

Add

 $\frac{2x}{x^2-36}+\frac{x+4}{x+6}$  

•  $\frac{x^2-24}{x^2-36}\$  

•  $\frac{3x^2-2x-24}{x^2-36}\$  

•  $\frac{x^2+2x-24}{x^2+36}\$  

•  $\frac{x^2+12x+24}{x^2+12x-36}\$  

Multiply

• 5x / 3

• 10x / (x - 8)

• 10x

• 10x(x - 7) / (x-8)

Multiply

• x³ - x² - 6x / x² + x - 6

• 1/x

• x² - 4 / x

• x

Divide.

• A

• B

• C

• D

Divide

• 1/6

• x+10/ 6x+60

• x+8/ 6x+60

• (x+10)(x+8)/ 6x+60

 $\frac{2}{x+5}-\frac{1}{x^2+4x-5}=\frac{1}{x+5}$ 

Solve for x.

• x = -2

• x = 4

• x = 6

• x = 2