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Mathematics LibreTexts

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 is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by Denny Burzynski & Wade Ellis, Jr. (OpenStax CNX) .

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