Add and Subtract Rational Expressions Chapter 8-5 Dr. Guram Algebra II

Focus Questions How will we add and subtract 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 Add, subtract, … 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 Determine monthly car loan payments

Academic Language Complex fraction: A fraction that contains a fraction in its numerator or denominator.

Adding or Subtracting with Like Denominators

Example 1

Example 1

Guided Practice

Adding or Subtracting with Unlike Denominators

Example 2

Example 2

Example 3

Example 3

Example 4

Example 4 Solution

Guided Practice

Simplifying Complex Fractions

Example 5

Example 5

Example 6

Example 6 Solution

Guided Practice

Review How will we add and subtract rational expressions? How do we utilize rational expressions in the real world?

Explain the mathematical terms: Review of terms Explain the mathematical terms: Complex fraction

Class and HW Problems Worksheet