4.1 introduction to rational expressions

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4.1 Rational Expression Basics 1 March 21, 2013 Mental Math #1 Is true? Discuss with a partner!

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Rational expressions, equivalent rational expressions, simplifying rational expressions, non-permissible values

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Page 1: 4.1 Introduction to Rational Expressions

4.1 Rational Expression Basics

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March 21, 2013

Mental Math #1Is true? Discuss with a partner!

Page 2: 4.1 Introduction to Rational Expressions

4.1 Rational Expression Basics

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March 21, 2013

Unit 4: Rational Expressions and Equations

Page 3: 4.1 Introduction to Rational Expressions

4.1 Rational Expression Basics

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March 21, 2013

What are rational expressions?

Any algebraic fraction with a numerator and a denominator that are polynomials

Page 4: 4.1 Introduction to Rational Expressions

4.1 Rational Expression Basics

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March 21, 2013

Non­Permissable Values

These are any value for a variable that makes an expression undefined

What do you think will make a relational expression undefined?  (THINK OF FRACTIONS)

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4.1 Rational Expression Basics

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March 21, 2013

E.g. Determine non­permissible values:

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4.1 Rational Expression Basics

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March 21, 2013

E.g. Determine non­permissible values:

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4.1 Rational Expression Basics

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March 21, 2013

Equivalent Rational Expressions

Q. Are these two fractions equivalent and why?

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4.1 Rational Expression Basics

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March 21, 2013

Equivalent Rational Expressions

The same rules apply for rational expressions such that you include restrictions

Q. Are these two fractions equivalent and why?

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4.1 Rational Expression Basics

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March 21, 2013

Simplifying Rational Expressions

How would you simplify the following fraction?

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4.1 Rational Expression Basics

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March 21, 2013

Simplifying Rational Expressions

E.g. Simplify the following

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4.1 Rational Expression Basics

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March 21, 2013

Page 12: 4.1 Introduction to Rational Expressions

4.1 Rational Expression Basics

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March 21, 2013

Page 13: 4.1 Introduction to Rational Expressions

4.1 Rational Expression Basics

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March 21, 2013

Simplifying Rational Expressions

E.g. Simplify the following

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4.1 Rational Expression Basics

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March 21, 2013

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4.1 Rational Expression Basics

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Page 317#1,3­4,6­8