Algebra II Unit 4 Review

Adding and Subtracting Rational Functions

100

Add the rational expressions and simplify your answer:

5/7 + 2/5

39/35 or 1 4/35

200

To add or subtract rational expressions, you need a _________ ________.

Common denominator

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

This is the name for a line that a function approaches but never actually touches. 

Asymtote

Multiplying and Dividing Rational Functions

100

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

0

200

TRUE OR FALSE:

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

TRUE

300

What strategy can you use to divide rational expressions?

HINT: “Keep it, change it, flip it”

Multiply by the reciprocal

400

Multiply the rational expressions:

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

9/(n+5)

500

Divide the rational expressions:

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

(X-8)/7

Solving Rational Equations

100

To solve a rational equation, you have to multiply both sides of the equation by the _________.

Common denominator

200

Multiplying both sides of a rational equation by the common denominator will get rid of the ________ of each expressions, leaving you with a simple algebraic equation. 

Denominators

300

Factor and identify any excluded values:

(x^2-8x) /(14(x^2+8x+15)

-3 and -5

400

What is the parent function of rational functions?

F(x)=1/x

500

Solve the rational equation:

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

9 and -5