GreeneMath | 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 functions, exponential/logarithmic functions, matrix algebra, analytic geometry, sequences/series and finish up our course with basic probability.
Course Progress: 0 of 0
Basic Concepts
Polynomials
Rational Expressions
Radical Expressions
Linear Equations
Word Problems
Quadratic Equations
Radical Equations
Absolute Value Equations
Graphs and Functions
Exponential/Log Functions
Systems and Matrices
Polynomial Functions
Rational Functions
Analytic Geometry
Sequences and Series
Binomial Theorem
Counting and Probability
Sections:
Basic Concepts
Polynomials
Rational Expressions
Radical Expressions
Linear Equations
Word Problems
Quadratic Equations
Radical Equations
Absolute Value Equations
Graphs and Functions
Exponential/Log Functions
Systems and Matrices
Polynomial Functions
Rational Functions
Analytic Geometry
Sequences and Series
Binomial Theorem
Counting and Probability
Basic Concepts
#1: Classifying Real Numbers
#2: Exponents | Order of Operations
#3: Ratios, Rates, & Proportions
#4: Properties of Real Numbers
#5: Inequalities & Interval Notation
Polynomials
#7: Product/Power Rules for Exponents
#8: What is a Polynomial
#9: Adding and Subtracting Polynomials
#10: Multiplying Polynomials
#11: Special Polynomial Products
#12: Dividing Polynomials
#13: Synthetic Division
#14: Factoring Out the GCF
#15: Factoring by Grouping
#16: Factoring Trinomials | a = 1
#17: Factoring Trinomials | AC Method
#18: Factoring Trinomials | Reverse FOIL
#19: Special Factoring
#20: Factoring by Substitution
Rational Expressions
#21: Rational Expressions | Restricted Values
#22: Simplifying Rational Expressions
#23: Multiplying & Dividing Rational Expressions
#24: Finding the LCD for Rational Expressions
#25: Adding & Subtracting Rational Expressions
#26: Complex Rational Expressions
Radical Expressions
#27: Negative Exponents & the Quotient Rule
#28: Rational Exponents
#29: Radical Expressions
#30: Simplifying Radical Expressions
#31: Operations with Radical Expressions
#32: Rationalizing Denominators
Linear Equations
#33: The Addition Property of Equality
#34: The Multiplication Property of Equality
#35: Linear Equations in One Variable
#36: Linear Equations with Fractions/Decimals
#37: Identifying Types of Equations
#38: Solving Proportion Equations
#39: Solving Literal Equations
#40: Linear Inequalities in One Variable
#41: Solving a Three-Part Inequality
#42: Solving Compound Inequalities: "and"/"or"
#43: Solving Absolute Value Equations
#44: Solving Absolute Value Inequalities
Word Problems
#45: Translating Phrases to Expressions/Equations
#46: Consecutive Integer Problems
#48: Motion Problems
| (d = r x t)#50: Bill & Coin Problems
#51: Simple Interest Problems (I = prt)
Quadratic Equations
#53: The Imaginary Unit i
#54: Operations with Complex Numbers
#55: Simplifying Powers of i
#56: Solving Quadratic Equations by Factoring
#57: The Square Root Property
#58: Completing the Square
#59: The Quadratic Formula
#60: Quadratic in Form
#61: Applications of Quadratic Equations
#62: Solving Quadratic Inequalities
Radical/Rational Equations
#63: Solving Radical Equations I
#64: Solving Radical Equations II
#65: Solving Radical Inequalities I
#66: Solving Radical Inequalities II
#67: Solving Rational Equations
#68: Solving Rational Inequalities
#69: Applications of Rational Equations
Absolute Value Equations
#70: Absolute Value Equations II
#71: Absolute Value Equations III
#72: Absolute Value Inequalities II
Graphs and Functions
#73: The Rectangular Coordinate System
#74: Distance Between Two Points
#75: Vertices of a Right Triangle
#77: The Midpoint Formula
#78: Plotting Complex Numbers
#79: Absolute Value of a Complex Number
#80: Distance and Midpoint | Complex Plane
#82: Relations and Functions
#84: Vertical Line Test
#85: Function Notation
#86: Graphing Linear Equations
#87: Finding the Slope of a Line
#88: Equations of Lines
#89: Parallel & Perpendicular Lines
#90: Graphs of Functions
#91: Piecewise-Defined Functions
#92: Increasing, Decreasing, & Constant Intervals
#93: Stretching or Shrinking a Graph
#94: Reflecting a Graph Over an Axis
#95: Even and Odd Functions
#96: Horizontal & Vertical Shifts
#97: Operations on Functions
#98: The Difference Quotient
#99: Function Composition
#100: Combining Graphing Transformations
Exponential/Logarithmic Functions
#101: One-to-One Functions | Horizontal Line Test
#102: One-to-One Functions | Algebraic Method
#103: How to Find the Inverse of a Function
#104: Determine if Two Functions are Inverses
#105: Find the Inverse (Domain Restriction)
#106: Graphing Exponential Functions
#107: Solving Exponential Equations (Like Bases)
#108: Compound Interest Word Problems
#109: Continuous Compound Interest Word Problems
#110: Logarithmic Functions
#111: Properties of Logarithms
#112: Inverse of an Exponential / Logarithmic Function
#113: Change of Base Formula
#114: Solving Exponential Equations with Logarithms
#115: Solving Logarithmic Equations
#116: Solving Exponential and Logarithmic Inequalities
#117: Applications of Exponential & Logarithmic Functions
Systems & Matrices
#118: Solving Linear Systems in Two Variables
#119: Solving Linear Systems in Three Variables
#120: Finding the Equation of a Parabola
#121: Applications of Linear Systems
#122: Gaussian Elimination - Two Variables
#123: Gaussian Elimination - Three Variables
#124: Gaussian Elimination - Four Variables
#125: Introduction to Matrices
#126: Adding & Subtracting Matrices
#127: Multiplying a Matrix by a Scalar
#128: Multiplying Matrices
#129: Finding the Inverse of a Matrix
#130: Solving Linear Systems (Matrix Equations)
#131: Finding the Determinant (Laplace Expansion)
#132: Finding the Determinant (Triangular Form)
#133: Transpose of a Matrix
#134: Adjoint of a Matrix
#135: Inverse Using the Adjoint and Determinant
#136: Cramer's Rule 2 x 2
#137: Cramer's Rule 3 x 3
#138: Area of a Triangle Using Determinants
#139: Testing for Collinear Points Using Determinants
#140: Equation of a Line Using Determinants
#141: Partial Fraction Decomposition - Linear Factors
#142: Partial Fraction Decomposition - Quadratic Factors
Polynomial Functions
#143: Vertex Form of a Parabola
#144: How to Graph a Parabola
#145: The Remainder Theorem
#146: The Factor Theorem
#147: The Rational Zeros Theorem
#148: Fundamental Theorem of Algebra
#149: Conjugate Zeros Theorem
#150: Descartes' Rule of Signs
#151: Intermediate Value Theorem
#152: Zeros of Polynomial Functions
#153: Graphing Polynomial Functions
#154: Solving Polynomial Inequalities
Rational Functions
#155: Graphing Rational Functions
Analytic Geometry
#157: Graphing Horizontal Parabolas
#158: Conic Sections: Parabolas
#159: Conic Sections: Ellipses
#160: Conic Sections: Hyperbolas
#161: Nonlinear Systems of Equations
#162: Nonlinear Systems of Inequalities
#163: Linear Programming
Sequences & Series
#164: Introduction to Sequences
#165: Introduction to Series & Summation Notation
#166: Arithmetic Sequences and Series
#167: Geometric Sequences and Series
Binomial Theorem
#168: The Binomial Theorem
Counting & Probability
#170: Basics of Probability
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