1. Ch. 11 Vocabulary 1.) rational expressions 2.) excluded value
3.) complex fraction (11-2)

2. 11-1 Simplifying Rational Expressions
Algebra 1

3. A rational expression is…
an algebraic fraction whose numerator and denominator are polynomials.
Because a rational expression involves division, the denominator may not have a value of zero. Otherwise, the rational expression would be undefined. Therefore, set the denominator equal to zero to determine the excluded value.

4. Example 1, a
For each rational expression, state the values for the variable which makes the rational expression undefined.
a.) 6

5. Example 1, b
For each rational expression, state the values for the variable which makes the rational expression undefined.
b.)
3,1

6. Example 1, c
For each rational expression, state the values for the variable which makes the rational expression undefined.
c.)
8,-8

7. Example 2, a
Simplify each rational expression. (Factor binomials and trinomials, then cancel like monomials, binomials and/or trinomials.)
a.)
M-4, m=/-4

8. Example 2, b
Simplify each rational expression & identify excluded value.
b.)
Y-2/y-1 y=/-2, 1

9. Example 3, a
Simplify each rational expression.
a.)
-1/6m+3b b=/ +- 2m

10. Example 3, b
Simplify each rational expression.
b.)
-2x+10, x=/5

11. Assignment

12. Applying Rational Expressions
Geometric Probability - Region B is contained in Region A. An object is tossed onto Region A and is equally likely to land on any point in the region.
The geometric probability that it lands in Region B is

13. Ex. Of Geometric Probability
#8 (pg. 667)
Write a model that represents the ratio of the area of the smaller rectangle to the area of the larger rectangle. Then evaluate the model when x=2.