Master Algebra:
Free Video Lessons and
Guided Notes
📚 Your Complete Algebra Learning Resource
Welcome to your one-stop resource for learning algebra! Whether you’re just starting out or reviewing advanced topics, our step-by-step video lessons and guided notes provide everything you need to build confidence and master algebra. With clear explanations, interactive practice, and structured learning materials, this course makes algebra engaging, effective, and easy to follow. 🚀
📚 What’s Included in This Free Algebra Course?
🎥 Comprehensive Video Lessons
Our algebra video tutorials cover everything from fundamental concepts to more advanced problem-solving techniques with:
✔ Clear Explanations of key algebraic principles
✔ Step-by-Step Problem Solving with detailed solutions
✔ Practical Examples that connect algebra to real-world applications
These videos are designed to help you understand, apply, and retain algebra concepts, whether you're preparing for exams or reinforcing key topics.
📄 Free Downloadable Guided Notes
Enhance your learning with our interactive guided notes, designed to:
✔ Reinforce Understanding – Actively engage by filling in key information as you watch
✔ Improve Retention – Strengthen memory through hands-on learning
✔ Stay Organized – Keep structured notes for easy review and test prep
📝 Chapter Tests for Practice and Mastery
Each chapter includes a free practice test with a full answer key to help you:
✔ Check your understanding of the material
✔ Practice solving problems independently
✔ Prepare with confidence for quizzes and exams
🔍 How to Use These Resources
1️⃣ Watch the Videos – Follow along with structured lessons, covering each topic step by step.
2️⃣ Download the Guided Notes – Print or use them digitally to follow along.
3️⃣ Engage Actively – Fill in the notes as you watch to reinforce understanding.
4️⃣ Review & Prepare – Use your completed notes as a valuable study tool for homework and exams.
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Videos and Notes
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Chapter 1: Prerequisite Algebra and Geometry Concepts. Chapter Test
How to Classify Numbers
Fractions - How to Add, Subtract, Multiply, and Divide
Order of Operations (PEMDAS)
The FOIL method
Squaring a Binomial
The Distance Formula
The Midpoint Formula
The Pythagorean Theorem
Chapter 2: Functions. Chapter Test
Functions and the Vertical Line Test
Evaluating Functions from a Formula, Table, and Graph
Understanding Interval Notation
Interval Notation for Multiple Inequalities
Domain of a Function
Piecewise Functions
Identify Increasing, Decreasing, and Constant Intervals on a Graph
Finding Relative Maxima and Minima from the Graph of a Function
Average Rate of Change of a Function
Concavity and Inflection Points
Analyzing the Graph of a Function
Composite Functions
Domain of a Composite Function
Parent Functions
Transformations of Functions
Graphing Transformations of Functions
Graphing Absolute Value Functions
Even and Odd Functions
Introduction to Inverse Functions
How to Find the Inverse of a Function
Domain and Range of an Inverse Function
Horizontal Line Test and One-to-One Functions
Chapter 3: Linear Functions. Chapter Test
Linear Functions and Models
How to Solve Linear Equations
X- and Y-Intercepts
Finding the Equation of a Line
Horizontal and Vertical Lines
Parallel and Perpendicular Lines
How to Graph a Linear Equation
How to Solve Absolute Value Equations
How to Solve Linear Inequalities
How to Solve Compound Linear Inequalities
How to Solve Absolute Value Inequalities
Chapter 4: Quadratic Functions and Equations. Chapter Test
Complex Numbers
Quadratic Functions
Factoring Quadratic Functions
Factoring The Difference of Two Squares and Perfect Square Trinomials
Standard and Vertex Form of a Quadratic Equation and Converting Between Them
Discriminant of a Quadratic Equation
Solving Quadratic Equations Using the Square Root Property
Solving Quadratic Equations by Factoring
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations Using the Quadratic Formula
Graphing Quadratic Functions
Solving Quadratic Inequalities
Chapter 5: Polynomial Functions. Chapter Test
Polynomial Basics
Multiplying Polynomials
Long Division of Polynomials
Synthetic Division of Polynomials
Factoring Polynomials by the Greatest Common Factor
Factoring Polynomials by Grouping
Factoring Sums and Difference of Cubes
The Remainder and Factor Theorems
Finding Zeros of Polynomials with the Rational Zero Theorem
Graphing Polynomials Using End Behavior, Zeros, and Multiplicities
How to Find the Equation of a Polynomial from Its Graph
Chapter 6: Radical and Rational Functions. Chapter Test
Simplifying Radical Expressions
Factoring Algebraic Expressions with Rational Exponents
Solving Radical Equations
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Solving Rational Equations
Solving Rational Inequalities
Horizontal, Vertical, and Slant/Oblique Asymptotes
Graphing Rational Functions
Chapter 7: Exponential and Logarithmic Functions. Chapter Test
Introduction to Exponential Functions
Laws of Exponents
Graphing Exponential Functions
The Natural Exponential Function and Natural Logarithm
How to Evaluate Logarithms
Properties of Logarithms
Change of Base Formula for Logarithms
Graphing Logarithmic Functions
How to Solve Exponential Equations
How to Solve Logarithmic Equations
Exponential Growth and Decay Word Problems
Compound Interest Formula
Review of Exponential Functions
Chapter 8: Systems of Equations. Chapter Test
Types of Solutions for Systems of Equations in Two Variables
Solving Systems of Equations in Two Variables Using Substitution and Elimination
Chapter 9: Matrices and Determinants. Chapter Test
Introduction to Matrices
Matrix Addition, Subtraction, and Scalar Multiplication
Matrix Multiplication
Determinant of a 2 x 2 Matrix
Determinant of a 3 x 3
Matrix Inverse of a 2 x 2 Matrix
Using Matrix Inverses to Solve Systems of Equations
Cramer's Rule
Gaussian Elimination
Gauss Jordan Elimination
Chapter 10: Conic Sections. Chapter Test
Parabolas - Equations and Graphs
Ellipses - Equations and Graphs
Hyperbolas - Equations and Graphs
Chapter 11: Sequences and Series. Chapter Test
Introduction to Sequences
Sigma Notation
Arithmetic Sequences
Geometric Sequences