Algebra/Trig Review - Pauls Online Math Notes - Lamar University

Algebra/Trig ReviewSimplifying Rational Expressions – The ability to simplify rational expressionscan be vital in some Calculus problems.Graphing and Common Graphs – Here are some common functions and how tograph them. The functions include parabolas, circles, ellipses, and hyperbolas.Solving Equations, Part I – Solving single variable equations, including thequadratic formula.Solving Equations, Part II – Solving multiple variable equations.Solving Systems of Equations – Solving systems of equations and someinterpretations of the solution.Solving Inequalities – Solving polynomial and rational inequalities.Absolute Value Equations and Inequalities – Solving equations and inequalitiesthat involve absolute value.TrigonometryTrig Function Evaluation – How to use the unit circle to find the value of trigfunctions at some basic angles.Graphs of Trig Functions – The graphs of the trig functions and some niceproperties that can be seen from the graphs.Trig Formulas – Some important trig formulas that you will find useful in aCalculus course.Solving Trig Equations – Techniques for solving equations involving trigfunctions.Inverse Trig Functions – The basics of inverse trig functions.Exponentials / LogarithmsBasic Exponential Functions – Exponential functions, evaluation of exponentialfunctions and some basic properties.Basic Logarithm Functions – Logarithm functions, evaluation of logarithms.Logarithm Properties – These are important enough to merit their own section.Simplifying Logarithms – The basics for simplifying logarithms.Solving Exponential Equations – Techniques for solving equations containingexponential functions.Solving Logarithm Equations – Techniques for solving equations containinglogarithm functions.AlgebraExponentsSimplify each of the following as much as possible.1.1 34 −3 −19 3 42x y x+ yy −© 2006 Paul Dawkins 3http://tutorial.math.lamar.edu/terms.aspx