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[Notes]
Algebra - Notes
 Preliminaries Previous Chapter Next Chapter Graphing and Functions Complex Numbers Previous Section Next Section Solutions and Solution Sets

Solving Equations and Inequalities

In this chapter we will look at one of the standard topics in any Algebra class.  The ability to solve equations and/or inequalities is very important and is used time and again both in this class and in later classes.  We will cover a wide variety of solving topics in this chapter that should cover most of the basic equations/inequalities/techniques that are involved in solving.

Here is a brief listing of the material covered in this chapter.

Solutions and Solution Sets  We introduce some of the basic notation and ideas involved in solving in this section.

Linear Equations  In this section we will solve linear equations, including equations with rational expressions.

Applications of Linear Equations  We will take a quick look at applications of linear equations in this section.

Equations With More Than One Variable  Here we will look at solving equations with more than one variable in them.

Quadratic Equations, Part I  In this section we will start looking at solving quadratic equations.  We will look at factoring and the square root property in this section.

Quadratic Equations, Part II  We will finish up solving quadratic equations in this section.  We will look at completing the square and quadratic formula in this section.

Quadratic Equations : A Summary  We’ll give a procedure for determining which method to use in solving quadratic equations in this section.  We will also take a quick look at the discriminant.

Applications of Quadratic Equations  Here we will revisit some of the applications we saw in the linear application section, only this time they will involve solving a quadratic equation.

Equations Reducible to Quadratic Form  In this section we will solve equations that can be reduced to quadratic in form.

Equations with Radicals  Here we will solve equations with square roots in them.

Linear Inequalities  We will start solving inequalities in this section by looking at linear inequalities.

Polynomial Inequalities  In this section we will look at solving inequalities that contain polynomials.

Rational Inequalities  Here we will solve inequalities involving rational expressions.

Absolute Value Equations  We will officially define absolute value in this section and solve equations that contain absolute value.

Absolute Value Inequalities  We will solve inequalities that involve absolute value in this section.

 Complex Numbers Previous Section Next Section Solutions and Solution Sets Preliminaries Previous Chapter Next Chapter Graphing and Functions

[Notes]

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