Operations of Rational Functions

Simplify.

• 1/(n-7)
• n-7
• (n-6)/(n-7)
• n-6

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Multiply

• 2x/(x-1)(x+3)
• 3x+11/2x²+9x+5
• 2/(x+1)(x+4)
• 2/(x-1)(x+3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.7

Multiply the rational expression below.

• 6/(x+4)
• (x+7)(x-4)/3(x+5)
• (x-4)/6
• (x-4)/2

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Divide the rational expression below.

• (x+10)/(2x+5)
• 6/(3(5x-1))
• 12/(x+10)
• (x+10)/(2x+5)

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Simplify. 

• (m+6)/(m-3)
• 7/(m-3)
• 7(m+6)
• (m-3)

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify. 

• (x+6)/(x+4)
• (x+6)(x+4)
• (x+6)
• (x+6)/(x-5)

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• A
• B
• C
• D

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Add. 

• A
• B
• C
• D

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Determine the solution(s), if any. 

*Check for extraneous solution(s)    $\frac{2}{x+1}=\frac{3}{2x-5}$  

•  $x=-1$  

•  $x=13$  

•  $x=\frac{5}{2}$  

•  $x=-13$  

Tags

CCSS.HSA.REI.A.2

Determine the solution(s), if any. 

*Check for extraneous solution(s)    $\frac{3}{x+2}=\frac{4}{3x-5}$  

•  $x=18$  

•  $x=23$  

•  $x=\frac{23}{5}$  

•  $x=5$  

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3