Fractional Expressions

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Presentation transcript:

Fractional Expressions Honors Precalculus September 28-30, 2016 Mrs. Agnew

Essential Questions Essential Vocabulary What are rational expressions and how do you simplify them? How do you solve rational equations? Essential Vocabulary Rational Expression Rational Equation Compound Fraction Domain Common Denominator

Rational Expressions Rational expressions are fractions that have polynomials in the numerator and denominator What is the domain? When identifying domain, find what makes denominator equal to 0.

Rational Expressions Simplify rational expressions by factoring and canceling like factors. When multiplying rational expressions, you can cross cancel like factors. How do you divide fractions? Examples

Compound Fractions Fractions within fractions. Multiply all “little fractions” by common denominator of “little fractions.” Examples (include negative exponents)

Homework: Stewart 4th ed. Page 42-43 # 6-16

Rational Expressions How do you add or subtract fractions? Same process for adding and subtracting rational expressions Examples… be sure to identify the domain of the common denominator.

Homework: Page A41 #17, 18, 25 – 33

Equations with Fractions How do we solve an equation with fractions? Multiply by common denominator. Same is true even if we have expressions in denominator. Solving Rationals vs. Adding/Subtracting Rationals Examples – Stewart (including work problems)

Homework: Page A54 #42, 45, 46, 77- 80 Page A71 #32 – 34