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Complex Numbers – In this section we give a very quick primer on complex numbers including standard form, adding, subtracting, multiplying and dividing them.Solving Equations and Inequalities - In this chapter we will look at one of the most important topics of the class.Here are a set of practice problems for the Algebra notes.
We will give the basic properties of exponents and illustrate some of the common mistakes students make in working with exponents.
Examples in this section we will be restricted to integer exponents.
Quadratic Equations, Part I – In this section we will start looking at solving quadratic equations.
Specifically, we will look at factoring and the square root property in this section.
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 define solutions for equations and inequalities and solution sets.Linear Equations – In this section we give a process for solving linear equations, including equations with rational expressions, and we illustrate the process with several examples.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.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.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.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.