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Published byCorey Leonard Modified over 8 years ago

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Adding & Subtracting Rational Expressions

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Vocabulary Rational Expression Rational Expression - An expression that can be written as a ratio of 2 polynomials Excluded Value Excluded Value – A number that makes a rational expression undefined. Simplest form of a rational expression Simplest form of a rational expression – Numerator and denominator have no factors in common other than 1.

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Ex. Find the excluded values of the expression. 1.2.

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How do we add/sub fractions with like denominators?

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Ex. Add/Sub Rational Functions (LIKE Denominators) 1.Add/Sub Numerator 2.Leave Denominator

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How do we add/sub fractions with unlike denominators?

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Ex. Add/Sub Rational Functions (UNLIKE Denominators) 1.Get Common Denominator 2.Follow Add/Sub Steps

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Ex. Add/Sub Rational Functions (UNLIKE Denominators)

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EX. Simplify the expression. State the excluded value. 1.Divide Numbers 2.Simplify Variables

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EX. Simplify the expression. State the excluded value.

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Ex. Multiply Rational Functions 1.Multiply Numerators 2.Multiply Denominators 3.Simplify (See previous slide)

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Ex. Divide Rational Functions “Keep Change Flip!” 1.Change Division to Multiplication 2.Flip the 2 nd Fraction 3.Simplify (See previous slide)

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Ex. Multiply or Divide Rational Functions

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HOMEWORK! Pg. 162 #5 Pg. 163 #1-3, 10 Pg. 167 #1, 2, 10, 11 Pg. 173 #1-6, 13-15

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