Lesson 3'8 Simplify Rational Expressions

1
Lesson 3.8Simplify Rational Expressions

• GPS
• MM1A2c
• EQ
• How do we add, subtract, multiply and divide
  polynomials?

2
Vocabulary

• Rational Equation An expression that can be
  written as a ratio of two polynomials.
• Excluded Value A number that makes a rational
  expression undefined (A rational expression is
  undefined when the denominator is 0).
• Simplest Form A rational expression is in
  simplest form if the numerator and denominator
  have no factors in commn other than 1.

3
Example 1Find excluded values
4
Guided Practice for Example 1
5
Example 2Simplify expressions by dividing out
monomials
6
Guided Practice for Example 2
7
Example 3Simplify an expression by dividing out
binomials
8
Example 3Simplify an expression by dividing out
binomials
9
More Practice
10
ExampleWrite simplify a rational expression
for the ratio of the perimeter to the area of the
given figure.
2x
x 5
11
ExampleWrite simplify a rational expression
for the ratio of the perimeter to the area of the
given figure.
2x1
2x1
2x
2x 2
12
On Your OwnWrite simplify a rational
expression for the ratio of the perimeter to the
area of the given figure.
8x
8x
13
Joke of the Day