19 - Solving Rational Equations Practice

Try It #1 - Solve:

 $\frac{3x}{x+2}-\frac{5}{7}=4$  

•  $x=-\frac{11}{2}$  

•  $x=-11$  

•  $x=3$  

•  $x=-\frac{19}{21}$  

Tags

CCSS.HSA.REI.A.2

Try It #4: Solve

 $\frac{5}{x+2}+\frac{x}{x-2}=\frac{8}{x^2-4}$  

•  $x=-9,\ x=2$  

•  $x=2$  

•  $x=-9$  

•  $x=3$  

Tags

CCSS.HSA.REI.A.2

 $\frac{3}{2}+\frac{1}{x}=2$  

• x = 2

• x = 7/2
  

• x = -2

• x = 4

Tags

CCSS.7.EE.B.4A

 $\frac{3}{2x}-\frac{9}{2}=6x$  

•  $x=-\frac{1}{4},\ 1$  

•  $x=4,\ -1$  

•  $x=-4,\ 1$  

•  $x=\frac{1}{4},\ -1$  

Tags

CCSS.HSA.REI.A.2

 $\frac{7x+1}{2x+5}+1=\frac{10x-3}{3x}$  

•  $x\ =\ -\frac{5}{7},\ -3$  

•  $x\ =\ 3$  

•  $x=\ \frac{5}{7}$  

•  $x=\frac{5}{7},\ 3$  

Tags

CCSS.HSA.REI.A.2

 $\frac{3}{x-2}+\frac{5}{x+2}=\frac{12}{x^2-4}$  

• no solution

• x = 2

• x = -2

• x = 8

Tags

CCSS.HSA.REI.A.2

 $\frac{2x+14}{x+4}-2=\frac{2x+20}{2x+8}$  

• x = -4

• x = 4

• no solution

• x = 6

Tags

CCSS.HSA.REI.A.2

 $\frac{3}{x-2}+\frac{5}{x+2}=\frac{12}{x^2-4}$  

• no solution

• x = 2

• x = -2

• x = 8

Tags

CCSS.HSA.REI.A.2

Find the function's x- and y-intercepts.

• x-int (0,-3) and (0,1)

  y-int (-4,0)

• x-int (-3,0) and (1,0)

  y-int (0,-4)

• x-int (-4, 1)

  y-int (-4, ∞)

• x-int (-3,0) and (1,0)

  y-int (0,-3)

Tags

CCSS.HSF-IF.C.7A

Describe the function's end behavior.

•  $As\ x\rightarrow-\infty,\ y\rightarrow-\infty$ 
   $As\ x\rightarrow\infty,\ y\rightarrow-\infty$  
  

•  $As\ x\rightarrow-\infty,\ y\rightarrow-\infty$  
   $As\ x\rightarrow\infty,\ y\rightarrow\infty$  
  

•  $As\ x\rightarrow-\infty,\ y\rightarrow\infty$  
   $As\ x\rightarrow\infty,\ y\rightarrow-\infty$  
  

•  $As\ x\rightarrow-\infty,\ y\rightarrow\infty$  
   $As\ x\rightarrow\infty,\ y\rightarrow\infty$  
  

Tags

CCSS.HSF-IF.C.7A