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8.1: Objectives

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    After completing this chapter, you should

    Rational Expressions

    • be able to recognize a rational expression
    • be familiar with the equality and negative properties of fractions

    Reducing Rational Expressions

    • understand and be able to use the process of reducing rational expressions

    Multiplying and Dividing Rational Expressions

    • be able to multiply and divide rational expressions

    Building Rational Expressions and the LCD

    • understand and be able to use the process of building rational expressions and know why it is often necessary to build them
    • be able to find the LCD of one or more expressions

    Adding and Subtracting Rational Expressions

    • be familiar with the basic rule for adding and subtracting rational expressions
    • be able to add and subtract fractions with the same and with different denominators

    Rational Equations

    • be able to identify rational equations
    • understand and be able to use the method of solving rational expressions
    • be able to recognize extraneous solutions

    Applications

    • be able to use the five-step method to solve various applied problems

    Complex Rational Expressions

    • be able to distinguish between simple and complex fractions
    • be able to simplify complex fractions using the combine-divide and the LCD-multiply-divide method

    Dividing Polynomials

    • be able to divide a polynomial by a monomial
    • understand the process and be able to divide a polynomial by a polynomial

    This page titled 8.1: Objectives was last modified on Wed, 28 Apr 2021 18:51:31 GMT and is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by Denny Burzynski and Wade Ellis, Jr. (OpenStax CNX) .

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