Lesson 22 Solving Rational Equations

Lesson 22 Solving Rational Equations

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Multiple Select

 $\frac{2x+1}{x}=\frac{1}{x-2}$  Identify all x-values that make the equation true.

•  $1+\sqrt{2}$  

• 2

• 1

•  $1-\sqrt{2}$  

Multiple Select

 $\frac{1}{x+2}=\frac{2}{x-1}$  Identify all x-values that make the equation true.

• 5

• 2

• 1

• 6

Multiple Select

 $\frac{x+3}{1-x}=\frac{x+1}{x+2}$  Identify all x-values that make the equation true.

• 5

• 2

• 1

• No solutions

Multiple Select

 $\frac{6x^2+18x}{2x^3}=\frac{5}{x}$  Identify all x-values that make the equation true.

• -4

• 4

• 1

• No solutions

• -1

Multiple Select

 $x=\frac{25}{x}$  Identify all x-values that make the equation true.

• -5

• 4

• 5

• No solutions

•  $\pm5$  

Multiple Select

 $\frac{x}{x^2}=\frac{3}{x}$  Identify all x-values that make the equation true.

• -5

• 4

• 5

• No solutions

•  $\pm5$  

Multiple Select

 $\frac{x}{x^2}=\frac{3}{x}$  Identify all x-values that make the equation true.

• -5

• 4

• 5

• No solutions

•  $\pm5$  

Multiple Select

 $\frac{6x^2+18xx}{2x^3}=\frac{5}{x}$  Identify all x-values that make the equation true.

• -4.5

• 4.5

• 5

• No solutions

•  $\pm4.5$  

Open Ended

Multiple Choice

• $g\left(x\right)=1+\frac{9}{x}$

• $g\left(x\right)=1-\frac{9}{x}$

• $g\left(x\right)=-1+\frac{9}{x}$

• $g\left(x\right)=-1-\frac{9}{x}$

Multiple Choice

Identify the vertical asymptote.

• x=1

• x=-1

• y=1

• y=-1

Multiple Choice

Identify the horizontal asymptote.

• x=1

• x=-1

• y=1

• y=-1

Multiple Choice

Identify the hole in the function.

• x=5

• x=-5

• y=5

• y=-5