ALGEBRA NOTES

Basics:

• Preliminaries

• Integer Exponents

• Rational Exponents

• Radicals

• Polynomials

• Factoring Polynomials

• Rational Expressions

• Complex Numbers

Solving Equations and Inequalities:

• Solving Equations and Inequalities

• Solutions and Solution Sets

• Linear Equations

• Applications of Linear Equations

• Equations With More Than One Variable

• Quadratic Equations, Part I

• Quadratic Equations, Part II

• Quadratic Equations : A Summary

• Applications of Quadratic Equations

• Equations Reducible to Quadratic Form

• Equations with Radicals

Graphing and Functions:

• Graphing and Functions

• Graphing

• Lines

• The Definition of a Function

• Graphing Functions

• Combining functions

• Inverse Functions

Common Graphs:

• Common Graphs

• Lines, Circles and Piecewise Functions

• Parabolas

• Miscellaneous Functions

• Transformations

• Rational Functions

Polynomial Functions:

• Polynomial Functions

• Zeroes/Roots of Polynomials

• Graphing Polynomials

• Finding Zeroes of Polynomials

Exponential and Logarithm Functions:

• Exponential and Logarithm Functions

• Exponential Functions

• Logarithm Functions

• Solving Exponential Equations

• Solving Logarithm Equations

• Applications

Systems of Equations:

• Systems of Equations

• Linear Systems with Two Variables

• Linear Systems with Three Variables