Paul's Online Math Notes

Notice

On August 21 I am planning to perform a major update to the site. I can't give a specific time in which the update will happen other than probably sometime between 6:30 a.m. and 8:00 a.m. (Central Time, USA). There is a very small chance that a prior commitment will interfere with this and if so the update will be rescheduled for a later date.

I have spent the better part of the last year or so rebuilding the site from the ground up and the result should (hopefully) lead to quicker load times for the pages and for a better experience on mobile platforms. For the most part the update should be seamless for you with a couple of potential exceptions. I have tried to set things up so that there should be next to no down time on the site. However, if you are the site right as the update happens there is a small possibility that you will get a "server not found" type of error for a few seconds before the new site starts being served. In addition, the first couple of pages will take some time to load as the site comes online. Page load time should decrease significantly once things get up and running however.

Paul
August 7, 2018

Algebra Trig Review
 Next Chapter Trigonometry Next Section Exponents

# Algebra Review

Here is the Algebra portion of my Algebra/Trig Review. It contains the following sections.

Exponents  A brief review of the basic exponent properties.

Absolute Value  A couple of quick problems to remind you of how absolute value works.

Radicals  A review of radicals and some of their properties.

Rationalizing  A review of a topic that doesn’t always get covered all that well in an algebra class, but is required occasionally in a Calculus class.

Functions  Function notation and function evaluation.

Multiplying Polynomials  A couple of polynomial multiplication problems illustrating common mistakes in a Calculus class.

Factoring  Some basic factoring.

Simplifying Rational Expressions  The ability to simplify rational expressions can be vital in some Calculus problems.

Graphing and Common Graphs  Here are some common functions and how to graph them.  The functions include parabolas, circles, ellipses, and hyperbolas.

Solving Equations, Part I  Solving single variable equations, including the quadratic formula.

Solving Equations, Part II  Solving multiple variable equations.

Solving Systems of Equations  Solving systems of equations and some interpretations of the solution.

Solving Inequalities  Solving polynomial and rational inequalities.

Absolute Value Equations and Inequalities  Solving equations and inequalities that involve absolute value.

 Next Section Exponents Next Chapter Trigonometry

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