Solving Rational Equations #2

What is the LCD for  $\frac{2}{x}+\frac{5}{x+3}=\ \frac{1}{x}$  ?

•  $x^2$  

•  $x\left(x+3\right)$  

•  $x+3$  

•  $2x\left(x+3\right)$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

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!

• x = 2
• x = -2
• x = 6
• x = 3

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve:

• x = -2, 8

• x = 0, 4

• x = 2, -8

• x = 8

• None of These

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

Identify the LCD.

• (x + 5)
• x²(x + 5)
• x
• x(x + 5)

Tags

CCSS.HSA.APR.D.7

 $\frac{10}{x}+3=\frac{x+9}{x-4}$  

Solve for x.

• 8

•  $-\frac{5}{2}$  

• No solution

• 8,  $-\frac{5}{2},8$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

Solve.
 $\frac{3}{x+1}+\frac{1}{x}=\frac{2x-6}{x^2+x}$  

•  $x=0$  

•  $x=4$  

•  $x=\frac{7}{2}$  

•  $x=-\frac{7}{2}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

Solve and check for extraneous solutions

• x=2
• x= -2
• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

• -9, 10

• 4, 0 

• 3, 0, 4

• 0, -4

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2