GreeneMath.com Presents | College Algebra

In this course, you will master college algebra using GreeneMath.com’s three step system. These concepts are fundamental to success in Calculus. In this course, we will first review key concepts from algebra 1/2, such as polynomials, rational expressions, linear equations, quadratic equations, and radical equations. We will then move into graphs of functions, polynomial/rational functions, exponential/logarithmic functions, trigonometric functions, matrices, analytic geometry, sequences/series and finish up our course with basic probability.

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This course page is currently under construction. Some of the content is already available via the YouTube College Algebra Playlist

Basic Concepts
Polynomials
Rational Expressions
Radical Expressions
Linear Equations
Word Problems
Quadratic Equations
Radical Equations
Absolute Value Equations
Graphs and Functions
Polynomial/Rational Functions
Exponential/Log Functions
Systems and Matrices
Analytic Geometry
Trigonometric Functions
Sequences and Series
Counting and Probability

Basic Concepts

Lesson #1: Classifying Real Numbers

Lesson #2: Exponents | Order of Operations

Lesson #3: Ratios, Rates, & Proportions

Lesson #4: Properties of Real Numbers

Lesson #5: Inequalities & Interval Notation

Lesson #6: Absolute Value

Polynomials

Lesson #7: Product/Power Rules for Exponents

Lesson #8: What is a Polynomial

Lesson #9: Adding and Subtracting Polynomials

Lesson #10: Multiplying Polynomials

Lesson #11: Special Polynomial Products

Lesson #12: Dividing Polynomials

Lesson #13: Synthetic Division

Lesson #14: Factoring Out the GCF

Lesson #15: Factoring by Grouping

Lesson #16: Factoring Trinomials | a=1

Lesson #17: Factoring Trinomials | AC Method

Lesson #18: Factoring Trinomials | Reverse FOIL

Lesson #19: Special Factoring

Lesson #20: Factoring by Substitution

Rational Expressions

Lesson #21: Rational Expressions | Restricted Values

Lesson #22: Simplifying Rational Expressions

Lesson #23: Multiplying & Dividing Rational Expressions

Lesson #24: Finding the LCD for Rational Expressions

Lesson #25: Adding & Subtracting Rational Expressions

Lesson #26: Complex Rational Expressions

Radical Expressions

Lesson #27: Negative Exponents & the Quotient Rule

Lesson #28: Rational Exponents

Lesson #29: Radical Expressions

Lesson #30: Simplifying Radical Expressions

Lesson #31: Operations with Radical Expressions

Lesson #32: Rationalizing Denominators

Linear Equations

Lesson #33: The Addition Property of Equality

Lesson #34: The Multiplication Property of Equality

Lesson #35: Linear Equations in One Variable

Lesson #36: Linear Equations with Fractions/Decimals

Lesson #37: Identifying Types of Equations

Lesson #38: Solving Proportion Equations

Lesson #39: Solving Literal Equations

Lesson #40: Linear Inequalities in One Variable

Lesson #41: Solving a Three-Part Inequality

Lesson #42: Solving Compound Inequalities: "and"/"or"

Lesson #43: Solving Absolute Value Equations

Lesson #44: Solving Absolute Value Inequalities

Word Problems

Lesson #45: Translating Phrases to Expressions/Equations

Lesson #46: Consecutive Integer Problems

Lesson #47: Age Problems

Lesson #48: Motion Problems | (d=r x t)

Lesson #49: Mixture Problems

Lesson #50: Bill & Coin Problems

Lesson #51: Simple Interest Problems | (I=prt)

Lesson #52: Percent Problems

Quadratic Equations

Lesson #53: The Imaginary Unit i

Lesson #54: Operations with Complex Numbers

Lesson #55: Simplifying Powers of i

Lesson #56: Solving Quadratic Equations by Factoring

Lesson #57: The Square Root Property

Lesson #58: Completing the Square

Lesson #59: The Quadratic Formula

Lesson #60: Quadratic in Form

Lesson #61: Applications of Quadratic Equations

Lesson #62: Solving Quadratic Inequalities

Radical/Rational Equations

Lesson #63: Solving Radical Equations I

Lesson #64: Solving Radical Equations II

Lesson #65: Solving Radical Inequalities I

Lesson #66: Solving Radical Inequalities II

Lesson #67: Solving Rational Equations

Lesson #68: Solving Rational Inequalities

Lesson #69: Applications of Rational Equations

Absolute Value Equations

Lesson #70: Absolute Value Equations II

Lesson #71: Absolute Value Equations III

Lesson #72: Absolute Value Inequalities II

Graphs and Functions

Lesson #73: The Rectangular Coordinate System

Lesson #74: Distance Between Two Points

Lesson #75: Vertices of a Right Triangle

Lesson #76: Collinear Points

Lesson #77: The Midpoint Formula

Lesson #78: Plotting Complex Numbers

Lesson #79: Absolute Value of a Complex Number

Lesson #80: Distance and Midpoint | Complex Plane

Lesson #81: Graphing Circles

Lesson #82: Relations and Functions

Lesson #83: Domain and Range

Lesson #84: Vertical Line Test

Lesson #85: Function Notation

Lesson #86: Graphing Linear Equations

Lesson #87: Finding the Slope of a Line

Lesson #88: Equations of Lines

Lesson #89: Parallel & Perpendicular Lines

Lesson #90: Graphs of Functions

Lesson #91: Piecewise-Defined Functions

Lesson #92: Increasing, Decreasing, & Constant Intervals

Lesson #93: Stretching or Shrinking a Graph

Lesson #94: Reflecting a Graph Over an Axis

Lesson #95: Even and Odd Functions

Lesson #96: Horizontal & Vertical Shifts

Lesson #97: Graphing Combined Function Transformations

Lesson #98: Operations on Functions

Lesson #99: The Difference Quotient

Lesson #100: Function Composition

Polynomial/Rational Functions

Exponential/Logarithmic Functions

Systems & Matrices

Analytic Geometry

Trigonometric Functions

Sequences & Series

Counting & Probability

Lesson #...: Final Lesson