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

Multiplication and addition of variables made easier using 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.

The Quadratic Equation

Main Lesson: The Quadratic Equation

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

The Quadratic Formula

Main Lesson: The Quadratic Formula

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.

Square Roots and Radicals

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