Algebra (11.1, 11.4, 11.5) Simplifying Rational Expressions

Solve the proportion:  $\frac{7}{y}=\frac{4}{5}$  

• 5.6

• 9

• 8.75

• 7

Solve the proportion:  $\frac{7x}{x+1}=\frac{5x}{2}$  

• no solution

• 0 and 1.8

• 0.55555 and 0

• 0

Solve the proportion: $\frac{x-2}{x+6}=\frac{x}{2}$  

• x= -2,2

• x=2

• x= -2

• x= -4,4

Solve the proportion:  $\frac{m}{5}=\frac{1}{m+4}$  

• m= -5, 1

• m= -1,5

• m= -1

• m= 4, 5

Solve the proportion:  $\frac{5}{p+1}=\frac{4p}{p}$  
DON'T cancel the p's on the right side.

• p = 0

• p = 1/4

• p = 0, 1/4

• p = 4, 5

Simplify!  $\frac{5x}{x^2+3x}$  

•  $\frac{x+3}{5}$  

• uh... I'm going to go eat some cheese dip...

•  $\frac{5\left(x\right)}{x\left(x+3\right)}$  

•  $\frac{5}{x+3}$  

Simplify: $\frac{4x-12}{x^2-9}$  

•  $\frac{4}{x-3}$  

•  $\frac{4}{x+3}$  

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

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

Simplify: $\frac{x^2+10x+24}{x^2-16}$  

•  $\frac{x-6}{x-4}$  

•  $-10x-8$  

•  $\frac{x+6}{x-4}$  

•  $\frac{\left(x+6\right)\left(x+4\right)}{\left(x+4\right)\left(x-4\right)}$  

Simplify: $\frac{20}{5x+10}$  

•  $4x+2$  

•  $\frac{4}{x+2}$  

•  $\frac{5}{x+2}$  

•  $\frac{4x}{x+4}$  

Simplify: $\frac{x^2-1}{6x+6}$  

•  $\frac{\left(x+1\right)\left(x-1\right)}{6\left(x+1\right)}$  

•  $\frac{x-1}{6}$  

•  $x^2+6x+5$  

•  $\frac{x+1}{6}$