Unit 7: Rational Equations

 $\frac{x}{4}=\frac{x+2}{2}$  

• x=4

• x=-4

• x=2

• x=-2

 $\frac{8}{3x-2}=\frac{2}{x-1}$  

•  $x=-2$  

•  $x=2$  

•  $x=\frac{2}{3}$  

•  $x=\frac{3}{2}$  

 $\frac{8}{x+3}=2$  

• x=-1

• x=0

• No solution

• x=1

 $\frac{x+2}{12x^2}+\frac{12}{6x^2}=\frac{x+3}{6x^2}$  

•  $x=12$  

•  $x=-12$  

•  $x=-20$  

•  $x=20$  

 $\frac{x+10}{22x^2}+\frac{8}{11x^2}=\frac{x-5}{11x^2}$  

•  $x=36$  

•  $x=11$  

•  $x=22$  

• No solution

 $\frac{3}{x+4}-2=\frac{5}{x+4}$  

•  $x=5$  

•  $x=-5$  

•  $x=0$  

• No solution

Describe how the function was transformed. (Select All)

 $g\left(x\right)=\ \frac{4}{x-3}+1$  

• Stretch 4

• Left 3

• Right 3

• Up 1
  

• Down 1

Describe how the function was transformed. (Select All)

 $h\left(x\right)=\frac{1}{x+7}-2$  

• Left 7
  

• Right 7

• Up 2

• Down 2

What is the domain and range of this function? Select the correct on for each.

 $f\left(x\right)=-\frac{5}{x+3}-7$  

• Domain: All Real Numbers,  $x\ne-3$  

• Domain: All Real Numbers,  $x\ne3$  

• Domain: All Real Numbers,  $x=-7$  

• Range: All Real Numbers,  $y\ne-7$  

• Range: All Real Numbers,  $y\ne7$  

Elijah wants to rent a suite at the Pacers game with some friends. The suite costs $650 to rent for the game. He wants to add a food package, which costs $25 per person. Write a function to represent the TOTAL cost of the suite and food.

•  $f\left(x\right)=650+25x$  

•  $f\left(x\right)=650x+25$  

•  $f\left(x\right)=\frac{650+25x}{x}$  

•  $f\left(x\right)=\frac{650x+25}{x}$