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Algebraic Expressions and Equations: Objectives

Module by: Denny Burzynski, Wade Ellis. E-mail the authors

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Summary: This module is from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr. Operations with algebraic expressions and numerical evaluations are introduced in this chapter. Coefficients are described rather than merely defined. Special binomial products have both literal and symbolic explanations and since they occur so frequently in mathematics, we have been careful to help the student remember them. In each example problem, the student is "talked" through the symbolic form. This module contains the objectives of the chapter "Algebraic Expressions and Equations".

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After completing this chapter, you should

Algebraic Expressions ((Reference))

  • be familiar with algebraic expressions
  • understand the difference between a term and a factor
  • be familiar with the concept of common factors
  • know the function of a coefficient

Equations ((Reference))

  • understand the meaning of an equation
  • be able to perform numerical evaluations

Classification of Expressions and Equations ((Reference))

  • be familiar with polynomials
  • be able to classify polynomials and polynomial equations

Combining Polynomials Using Addition and Subtraction ((Reference))

  • understand the concept of like terms
  • be able to combine like terms
  • be able to simplify expressions containing parentheses

Combining Polynomials Using Multiplication ((Reference))

  • be able to multiply a polynomial by a monomial
  • be able to simplify + ( a + b ) +(a+b) and - ( a + b ) -(a+b)
  • be able to multiply a polynomial by a polynomial

Special Binomial Products ((Reference))

  • be able to expand ( a + b ) 2 ( a + b ) 2 , ( a - b ) 2 ( a - b ) 2 , and ( a + b ) ( a + b ) ( a + b ) ( a + b )

Terminology Associated with Equations ((Reference))

  • be able to identify the independent and dependent variables of an equation
  • be able to specify the domain of an equation

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