11-6 Solving Rational Functions

Solve for x.

You may replace x with the answer choices to see which one is true.

You may cross multiply (butterfly) and solve for x. In other words, find a common denominator so you can eliminate it.

You may put one side of the equation in y1 and the other in y2 and find the intersection point.

• x = 5

• x = 4

• x = -7

• x = 6

Solve for x.

You may replace x with the answer choices to see which one is true.

You may cross multiply (butterfly) and solve for x. In other words, find a common denominator so you can eliminate it.

You may put one side of the equation in y1 and the other in y2 and find the intersection point.

• x = 7

• x = -3

• x = 2

• x = -2

Solve for x.

You may replace x with the answer choices to see which one is true.

You may cross multiply (butterfly) and solve for x. In other words, find a common denominator so you can eliminate it.

You may put one side of the equation in y1 and the other in y2 and find the intersection point.

• x=2

• x= -2

• x=11

• x=22

Solve for x. Check below for hints.

-x cannot equal a number that would make the denominator equal to zero! Be careful!

-You may replace x with the answer choices to see which one is true.

-You may cross multiply (butterfly) and solve for x. In other words, find a common denominator so you can eliminate it.

-You may put one side of the equation in y1 and the other in y2 and find the intersection point. Be sure and parenthesis the numerator separate from the denominator if needed.

• x = -1, 5

• No Solution

• x = -4, 5

• x= -4

Solve for x. Check below for hints.

-You may replace x with the answer choices to see which one is true.

-You may find a common denominator by multiplying the 6 by x-6, eliminate the denominators, then solve the remaining equation for x.

-You may put one side of the equation in y1 and the other in y2 and find the intersection point. Be sure and parenthesis the numerator separate from the denominator if needed.

• 6

• 17/5

• 19/2

• - 6

Solve for x. Check below for hints.

-You may replace x with the answer choices to see which one is true.

-You may find a common denominator for all fractions, eliminate the denominator, then solve the equation.

-You may put one side of the equation in y1 and the other in y2 and find the intersection point. Be sure and parenthesis the numerator separate from the denominator.

• 7

• 0

• 14

• 6

Solve:
 $\frac{4}{x^2-3x-4}=\frac{1}{x-4}+\frac{1}{x^2-3x-4}$  

•  $x=2,\ x=-2$  

•  $x=-2$  

•  $x=0$  

•  $x=2$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve:
 $\frac{x+1}{x+6}-\frac{x}{x^2-36}=\frac{x-3}{x-6}$  

•  $x=\frac{4}{3}$  

•  $x=\frac{3}{4}$  

•  $x=\frac{4}{5}$  

•  $x=1$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve for x. Check below for hints.

-You may replace x with the answer choices to see which one is true.

-You may factor, cancel the common factors, then solve for x.

-You may put one side of the equation in y1 and the other in y2 and find the intersection point. Be sure and parenthesis the numerator separate from the denominator if needed.

• 4

• 2

• -2

• -4

Solve for x. Check below for hints.

-x cannot equal a number that would make the denominator equal to zero! Be careful!

-You may replace x with the answer choices to see which one is true.

-You may find the common denominator by multiplying the missing factor. Eliminate the denominator and isolate x.

-You may put one side of the equation in y1 and the other in y2 and find the intersection point. Be sure and parenthesis the numerator separate from the denominator if needed.

• x = 2

• x = undefined

• x = -2

• x= 5