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# Algebra Help

This section contains explanations of key algebra topics with interactive examples and quizzes. The topics are arranged in a cumulative way starting with some basic ideas and building up to more complicated aspects of algebra.

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## Properties of Algebra

Main Lesson: Properties of Algebra

Fundamental arithemetic and operational rules of Algebra that will help solve problems involving variables.

## The Order of Operations

Main Lesson: The Order of Operations

Method of solving expressions and equations with multiplie algebraic operators.

## The Distributive Property

Main Lesson: The Distributive Property

## Factorization

Main Lesson: Factorization

Methods of breaking down larger polynomials into smaller polynomials.

## Solving Equations

Main Lesson: Solving Equations

An introduction to solving equations in one variable.

## Graphing Linear Equations

Main Lesson: Graphing Linear Equations

An introduction and in depth discussion on solving and graphing linear equations in two variables.

## Inequalities

Main Lesson: Inequalities

Meaning of different inequality signs and ways of manipulating those signs.

## Graphing Linear Inequalities

Main Lesson: Graphing Linear Inequalities

Graphing regions using linear inequalities.

## Slope of a Line

Main Lesson: Slope

Explanation of the concept of slope and who to determine the slope of a line.

## Functions

Main Lesson: Functions

Introduction of the concept of a function. Odd and even functions as well as inverse functions discussed.

## FOIL Method

Main Lesson: The FOIL Method

Multiplicatiion of Binomial Polynomials using FOIL Method.

## Polynomials

Main Lesson: Polynomials

Meaning of the term polynomial and different notations used.

## Complex Numbers

Main Lesson: Complex Numbers

Concept of imaginary numbers as roots of negative numbers. Manipulation of complex numbers.

Meaning of quadratic equations and different methods for finding roots of quadratic equations.

A derivation of the quadratic formula and uses of the formula to find roots of a quadratic equation.

## The Remainder Theorem

Main Lesson: The Remainder Theorem

Statement of the remainder theorem. Finding roots of polynomials using the remainder theorem and synthetic division of polynomials.

## Exponents

Main Lesson: Exponents

Meaning of exponents, manipulation of exponents and methods of solving equations involving exponents.

## Logarithms

Main Lesson: Logarithms

Meaning of logarithms. Methods for finding and solving logarithms. List of various logarithmic identities.

Main Lesson: Square Roots and Radicals

Meaning of square root, methods of finding square roots and manipulation of the radical sign.

## Rationalization

Main Lesson: Rationalization

Removing square roots and complex numbers from denominators of fractions by rationalization.

## Rational Expressions

Main Lesson: Rational Expressions

Meaning of rational expressions and methods for finding the domain of rational expressions

## Conic Sections

Main Lesson: Conic Sections

An insight into the four figures formed from conics and how they relate algebraically and graphically - circles, ellipses, parabolas, and hyperbolas