Solving Rational Equations

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

CCSS.HSA.REI.B.3

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.APR.D.7

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.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

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

• 7

• 6

• 14

• 0

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.CED.A.1

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.APR.D.7

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

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.APR.D.7

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve and check for extraneous solutions

• x=5
• x= -5
• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

What value(s) make the expression undefined?

• x = - 3 and x = 4
• x = 3 and x = - 4
• x = 3 only
• x = - 4 only

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.7

Solve!

• x = 2
• x = -2
• x = 6
• x = 3

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4