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
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
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
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
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.