Learn College Algebra Fast

Rapid Proficiency for College, High School and AP

What you'll learn

Practice Key Concepts and Learn from Detailed Explanation of Problem Solutions

Multiple Questions Per Topic so You Can Focus on Weak Areas

The Right Way to Prepare for a Test

The Right Way to Take a Test

Requirements

The ideal student will have taken or is taking an algebra course.

Description

This course is designed for students who are taking algebra at the highschool or college level. It is designed to reinforce concepts through a more interactive approach than classroom lectures and practice problems that have poor solution explanations. When students work problems with poor  solution explanations, they have to get over yet another barrier of an already intimidating subject. The power of this course is in the detailed solutions. The explanations are designed to be easily readable so students don't have to pause in order to look-up solution operations and concepts that aren't clearly explained. The solutions also contain useful context explanations to help solidify concepts in a more intuitive way. All of this creates an experience that reduces the time it takes to learn a given concept.Our goal is for students to feel that they have a personal tutor at their sides without having to pay private tutoring prices.We hope this course provides a useful guide to lead you through a subject that can (and should) be actually enjoyable rather than something to cringe at.We hope you'll check back often as we work to add new and refine existing content. We also hope you use this as a reference if you continue on to higher level courses that rely on algebra more than people realize.We wish you all the best in your studies!

Overview

Section 1: Introduction

Lecture 1 Introduction

Lecture 2 Tips on Taking This Course

Section 2: Fundamental Concepts of Algebra

Lecture 3 Basic Rules of Algebra

Lecture 4 Numbers: Real, Rational, Integer, Natural and Irrational

Lecture 5 Positive and Negtive Numbers - Sums and Differences

Lecture 6 Positive and Negtive Numbers -Multiplication and Division

Lecture 7 Order of Operations - PEMDAS, BEMDAS, and the Tie Breaker

Lecture 8 Order of Operations - Solved Problems

Lecture 9 Exponents - The Product Rule

Lecture 10 Exponents - The Quotient Rule

Lecture 11 Exponents - The Power of Product Rule

Lecture 12 Exponents - The Power of Fraction Rule

Lecture 13 Exponents - The Power Rule

Lecture 14 Exponents - The Zero Exponent Rule

Lecture 15 Exponents - The Negative Exponent Rule

Lecture 16 Scientific Notation

Lecture 17 Scientific Notation Sample Problems

Lecture 18 Radicals and Rational Exponents

Lecture 19 Radicals- Solved Probelms

Lecture 20 Polynomials - What Are They?

Lecture 21 Polynomials - Standard Form and Degrees

Lecture 22 Sum and Difference of Polynomials

Lecture 23 Products of Polynomials

Section 3: Linear Equations, Graphs and Inequalities

Lecture 24 Cartesian Coordinate System - Distance Between Two Points

Lecture 25 Slope of a Line

Lecture 26 Slope-Intercept Equation of a Line

Lecture 27 Slope-Intercept Equation of Line - SOLVED PROBLEMS

Lecture 28 Cartesian (Rectangular) Coordinate Systems

Lecture 29 Point-Slope Equation of a Line

Lecture 30 Parallel vs Perpendicular Lines

Lecture 31 Intro to Linear Inequalities

Lecture 32 Solving Linear Inequalities Mathematically

Lecture 33 Absolute Value Inequalities

Lecture 34 Graphing Linear Inequalities

Section 4: Rational Expressions

Lecture 35 Rational Expressions

Lecture 36 Quadratic Equations - Intro

Lecture 37 Quadratic Equations - Extracting Square Roots

Lecture 38 Quadratic Equations - Factoring

Lecture 39 Quadratic Equations - Quadratic Formula

Section 5: Geometric Shapes, Polynomial Functions and Relationships

Lecture 40 Circles

Lecture 41 Spheres

Lecture 42 Composition Functions

Lecture 43 Translation Functions - Upward and Downward Shifts

Lecture 44 Translation Functions - Right and Left Shifts

Lecture 45 Absolute Value Functions

Section 6: Exponential and Logarithmic Functions

Lecture 46 Exponential and Logarithmic Functions - Intro

Lecture 47 Properties of Logarithms

Section 7: Systems of Equations and Inequalities

Lecture 48 Matrix Operations

Section 8: Sequences and Series

Lecture 49 Sequences

This course is for individuals who are taking algebra as a class or who need a refresher to move on to more advanced courses.