Solving Rational Equations

Simplify  $\frac{x^2+11x+24}{x^2+4x-32}$  

•  $\frac{x+7}{x-4}$  

•  $-\frac{3}{4}$  

•  $\frac{x+3}{x+4}$  

•  $\frac{x+3}{x-4}$  

Tags

CCSS.HSA.APR.D.6

Solve for x:  $\frac{5}{3}-\frac{2}{x}=\frac{8}{x}$  

•  $2$  

•  $\frac{18}{5}$  

•  $\frac{26}{5}$  

•  $6$  

Tags

CCSS.HSA.REI.A.2

Solve:  $\frac{3}{x-5}-\frac{20}{x^2-25}=\frac{2}{x+5}$  

•  $x=-5$  

•  $x=5$  

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

• No Solution

Tags

CCSS.HSA.REI.A.2

Solve for x:  $x-8=-\frac{15}{x}$  

• x = 5, x = 3

• x = −5, x = −3

• x = 5

• x = −3

Tags

CCSS.HSA.REI.A.2

Solve for x:  $\frac{2}{x+2}+\frac{5}{x-2}=\frac{6}{x^2-4}$  

• 7

• 6

• 14

• 0

Tags

CCSS.HSA.REI.A.2

Solve for x:  $\frac{1}{x}=\frac{1}{5x}-\frac{x-1}{5x}$ 

• x = 5

• x = -3

• x = 3

• x = -5

Tags

CCSS.HSA.REI.A.2

Solve for x:  $\frac{6x+18}{x^2}+\frac{1}{x}=\frac{3}{x}$  

• x = 4.5

• x = -4.5

• x = 3

• x = -3

Tags

CCSS.HSA.REI.A.2

State the domain restrictions. 

• x ≠ -2
• x ≠ 2, 1
• x ≠ 2, -1
• x ≠ -2, 2, 1

Tags

CCSS.HSA.APR.D.7

CCSS.HSF.IF.B.5

Solve for x:  $\frac{5}{x+2}=\frac{1}{x-4}$  

• x = 5

• x = 4

• x = 5.5

• x = -4

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x:  $\frac{9}{3x}=-\frac{6}{2}$  

• x = -1

• x = 1

• x = -9

• x = 9

Tags

CCSS.6.EE.B.7