Multiply and Divide Rational Expressions Chapter 8-4 Dr. Guram Algebra II

Focus Questions How will we multiply and divide rational expressions? How do we utilize rational expressions in the real world?

Curriculum standards TN 3103.3.3 (Associated Tennessee Learning Expectations) Also: 3103.3.1 … multiply, divide and simplify rational expressions. Sources: http://www.corestandards.org/Math/Content/HSA/CED/A/1/ Spring Board Algebra 2 Textbook

Real World Examples Utilizing Rational Expressions What are examples of ways people utilize rational expressions in real world situations? ???

Real World Example of Rational Expressions Compare the efficiencies of two designs

Academic Language Simplified form of a rational expression: A rational expression in which the numerator and denominator have no common factors other than +1 or -1. Reciprocal: The reciprocal, or multiplicative inverse of any nonzero number b is 1/b.

Simplifying Rational Expressions

Example 1

Example 1

Example 2

Example 2

Guided Practice

Multiplying Rational Expressions

Example 3

Example 3

Example 4

Example 4 Solution

Example 5

Example 5

Guided Practice

Dividing Rational Expressions

Example 6

Example 6 Solution

Example 7

Example 7

Guided Practice

Review How will we multiply and divide rational expressions? How do we utilize rational expressions in the real world?

Explain the mathematical terms: Review of terms Explain the mathematical terms: Simplified form of a rational expression Reciprocal

Class and HW Problems Worksheet