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.
Main Lesson: Properties of Algebra
Fundamental arithemetic and operational rules of Algebra that will help solve problems involving variables.
Main Lesson: The Order of Operations
Method of solving expressions and equations with multiplie algebraic operators.
Main Lesson: The Distributive Property
Multiplication and addition of variables made easier using distributive property.
Main Lesson: Factorization
Methods of breaking down larger polynomials into smaller polynomials.
Main Lesson: Solving Equations
An introduction to solving equations in one variable.
Main Lesson: Graphing Linear Equations
An introduction and in depth discussion on solving and graphing linear equations in two variables.
Main Lesson: Inequalities
Meaning of different inequality signs and ways of manipulating those signs.
Main Lesson: Graphing Linear Inequalities
Graphing regions using linear inequalities.
Main Lesson: Slope
Explanation of the concept of slope and who to determine the slope of a line.
Main Lesson: Functions
Introduction of the concept of a function. Odd and even functions as well as inverse functions discussed.
Main Lesson: The FOIL Method
Multiplicatiion of Binomial Polynomials using FOIL Method.
Main Lesson: Polynomials
Meaning of the term polynomial and different notations used.
Main Lesson: Complex Numbers
Concept of imaginary numbers as roots of negative numbers. Manipulation of complex numbers.
Main Lesson: The Quadratic Equation
Meaning of quadratic equations and different methods for finding roots of quadratic equations.
Main Lesson: The Quadratic Formula
A derivation of the quadratic formula and uses of the formula to find roots of a quadratic equation.
Main Lesson: The Remainder Theorem
Statement of the remainder theorem. Finding roots of polynomials using the remainder theorem and synthetic division of polynomials.
Main Lesson: Exponents
Meaning of exponents, manipulation of exponents and methods of solving equations involving exponents.
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.
Main Lesson: Rationalization
Removing square roots and complex numbers from denominators of fractions by rationalization.
Main Lesson: Rational Expressions
Meaning of rational expressions and methods for finding the domain of rational expressions
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