Rational Functions and Equations

This concept introduces rational functions and equations. We learn to identify, graph and solve rational functions and equations. We also learn about properties of rational functions, and operations on them. This concept also covers inverse variations.

The concept is broken into smaller topics, which makes it easier and much more fun for students. The topics are listed below:-

Add and Subtract Rational Functions

This topic deals with the concept of adding and subtracting rational functions with like or unlike denominators. We also learn to find the Least Common Multiple of two expressions and apply the concept to problem solving applications.

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Applying Rational Equations

In this topic, we learn to apply algebraic techniques to solve work, rate, and mixture problems.

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Divide Polynomials

This topic deals with the concept of dividing polynomials by both monomials and binomials, by factoring and long division method. We also learn to divide polynomials that have zero coefficients.

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Inverse Variations

In this topic, we learn to identify and graph inverse variations. We also learn to use the product rule for inverse variations.

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Multiply and Divide Rational Expressions

In this topic, we learn to multiply and divide rational expressions along with some probability applications.

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Rational Functions

In this topic, we learn to identify excluded values in a rational function. We also learn identifying asymptotes and graphing rational functions using asymptotes.

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Simplify Rational Expressions

In this topic, we learn to identify excluded values of rational expressions. We also learn to simplify rational expressions along with some applications.

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Solving Rational Equations

This topic deals with solving rational equations using cross products and least common denominator. We also learn about extraneous solutions of rational equations, along with some problem solving applications.

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