8.6B Solving Rational Equations Worksheet

 $\frac{3}{2}+\frac{1}{x}=2$  

• x = 2

• x = 7/2
  

• x = -2

• x = 4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

 $\frac{3}{2x}-\frac{9}{2}=6x$  

•  $x=-\frac{1}{4},\ 1$  

•  $x=4,\ -1$  

•  $x=-4,\ 1$  

•  $x=\frac{1}{4},\ -1$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

 $\frac{3x}{x+1}+\frac{6}{2x}=\frac{7}{x}$  

•  $x=\frac{2}{3},-2$  

•  $x=-\frac{2}{3},\ 2$  

•  $x=\frac{3}{2},\ -2$  

•  $x=-\frac{3}{2},\ 2$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

 $\frac{4}{x+1}+\frac{1}{x^2-5x-6}=\frac{1}{x-6}$  

• x = 2

• x = 3

• x = -8

• x = 8

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

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

• x = -4, 1

• x = -4

• x = 1

• no solution

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

 $\frac{3}{x+4}+\frac{5}{4}=\frac{18}{x+4}$  

• x = 8

• x = 16

• x = -8

• x = -16

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

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

•  $x\ =\ -\frac{5}{7},\ -3$  

•  $x\ =\ 3$  

•  $x=\ \frac{5}{7}$  

•  $x=\frac{5}{7},\ 3$  

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

• no solution

• x = 2

• x = -2

• x = 8

 $\frac{2}{x-3}-\frac{4}{x+3}=\frac{8}{x^2-9}$  

• x = -5

• x = 5

• x = 2

• x = 8

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

 $\frac{2x}{x-3}=\frac{3x}{x^2-9}+2$  

• x = -15

• x = 3

• x = 6

• x = -6

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2