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Note that some sections will have more problems than others and some will have more or less of a variety of problems.Most sections should have a range of difficulty levels in the problems although this will vary from section to section.Quadratic Equations, Part I – In this section we will start looking at solving quadratic equations.
Polynomials – In this section we will introduce the basics of polynomials a topic that will appear throughout this course.
We will define the degree of a polynomial and discuss how to add, subtract and multiply polynomials.
We will also give the properties of radicals and some of the common mistakes students often make with radicals.
We will also define simplified radical form and show how to rationalize the denominator.
We will give the basic properties of exponents and illustrate some of the common mistakes students make in working with exponents.
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Examples in this section we will be restricted to integer exponents.We will also discuss how to evaluate numbers raised to a rational exponent.Radicals – In this section we will define radical notation and relate radicals to rational exponents.We will work applications in pricing, distance/rate problems, work rate problems and mixing problems.Equations With More Than One Variable – In this section we will look at solving equations with more than one variable in them.Here are a set of practice problems for the Algebra notes.Click on the "Solution" link for each problem to go to the page containing the solution.Here is a listing of sections for which practice problems have been written as well as a brief description of the material covered in the notes for that particular section.Preliminaries - In this chapter we will do a quick review of some topics that are absolutely essential to being successful in an Algebra class.Rational exponents will be discussed in the next section.Rational Exponents – In this section we will define what we mean by a rational exponent and extend the properties from the previous section to rational exponents.