ch 7.3-7.5

Adding and Subtracting Rational Functions

100

To add or subtract rational expressions, you need a __________  __________.

common denominator

200

Add the rational expressions and simplify your answer:

5/(14x) + 3/(2x)

13/(7x)

300

Find the common denominator of the rational expressions:

(2p)/(p+6) and 2/(5p-4)

(5p-4)(p+6)

400

Subtract the rational expression:

4/(v+4) -3/4

(4-3v)/(4(v+4)

500

Add the rational expressions:

4/(3x+3)+1/(x-2)

(7x-5)/((3x+3)(x-2))

Multiplying and Dividing Rational Functions

100

What strategy can you use to divide rational expressions?

“keep, change, flip”

(multiply by the reciprocal)

200

TRUE OR FALSE:

When multiplying or dividing a rational expression, you do NOT need a common denominator.

TRUE

300

Multiply the rational expressions:

1/(n+5) * (9n+45)/(n+5)

9/(n+5)

400

Divide the rational expressions:

(x-8)/(7x+14) div 1/(x+2)

(x-8)/7

500

Multiply the rational expression:

(x+1)/(x^2-x-6) * (x^2+4x+4)/(x^2-4)

(x+1)/((x-3)(x-2))

Solving Rational Equations

100

Excluded values of a rational expression will make the value of the denominator equal to _____.

0

200

Solve the rational equation (and check for extraneous solutions):

(x+3)/5 = (x+1)/2

x=1/3

300

FREE POINTS! 

+300

HOORAY!

400

Solve the rational equation (and check for extraneous solutions):

8/(x+3) = (x+1)/(x+6)

x=9,-5

500

Solve the rational equation (and check for extraneous solutions):

1/x+3/(x-4) = (2x+8)/(x^2-4x)

x=6