Math 101: College Algebra



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Course Chapters


Chapter 1: Foundations and Linear Equations

Chapter 1

All Videos in Foundations and Linear Equations

  1. What are the Different Types of Numbers?
  2. What Are the Different Parts of a Graph?
  3. What is a Linear Equation?
  4. Linear Equations: Intercepts, Standard Form and Graphing
  5. Abstract Algebraic Examples and Going from a Graph to a Rule
  6. Graphing Undefined Slope, Zero Slope and More
  7. How to Write a Linear Equation
  8. What is a System of Equations?
  9. How Do I Use a System of Equations?

(Back to Chapter Index) 


Chapter 2: Matrices and Absolute Value

Chapter 2

All Videos in Matrices and Absolute Value

  1. What is a Matrix?
  2. How to Take a Determinant of a Matrix
  3. What is an Absolute Value?
  4. How to Evaluate Absolute Value Expressions
  5. How to Solve an Absolute Value Equation
  6. Solving Absolute Value Practice Problems
  7. How to Graph an Absolute Value and Do Transformations
  8. Graphing Absolute Value Equations: Dilations and Reflections


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Chapter 3: Inequalities

Chapter 3

All Videos in Inequalities

  1. What is an Inequality?
  2. How to Graph 1- and 2-Variable Inequalities
  3. Set Notation, Compound Inequalities, and Systems of Inequalities
  4. Graphing Inequalities: Practice Problems
  5. How to Solve and Graph an Absolute Value Inequality
  6. Solving and Graphing Absolute Value Inequalities: Practice Problems


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Chapter 4: Factoring with FOIL, Graphing Parabolas and Solving Quadratics

Chapter 4

All Videos in Factoring with FOIL, Graphing Parabolas and Solving Quadratics

  1. What is a Parabola?
  2. Parabolas in Standard, Intercept, and Vertex Form
  3. Multiplying Binomials Using FOIL and the Area Method
  4. Multiplying Binomials Using FOIL & the Area Method: Practice Problems
  5. How to Factor Quadratic Equations: FOIL in Reverse
  6. Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient
  7. How to Complete the Square
  8. Completing the Square Practice Problems
  9. How to Solve a Quadratic Equation by Factoring
  10. How to Use the Quadratic Formula to Solve a Quadratic Equation
  11. How to Solve Quadratics That Are Not in Standard Form


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Chapter 5: Complex Numbers

Chapter 5

All Videos in Complex Numbers

  1. What is an Imaginary Number?
  2. How to Add, Subtract and Multiply Complex Numbers
  3. How to Divide Complex Numbers
  4. How to Graph a Complex Number on the Complex Plane
  5. How to Solve Quadratics with Complex Numbers as the Solution


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Chapter 6: Exponents and Polynomials

Chapter 6

All Videos in Exponents and Polynomials

  1. What Are the Five Main Exponent Properties?
  2. How to Define a Zero and Negative Exponent
  3. How to Simplify Expressions with Exponents
  4. Rational Exponents
  5. Simplifying Expressions with Rational Exponents
  6. How to Graph Cubics, Quartics, Quintics and Beyond
  7. How to Add, Subtract and Multiply Polynomials
  8. How to Divide Polynomials with Long Division
  9. How to Use Synthetic Division to Divide Polynomials
  10. Dividing Polynomials with Long and Synthetic Division: Practice Problems


(Back to Chapter Index) 


Chapter 7: Functions

Chapter 7

All Videos in Functions

  1. Functions: Identification, Notation & Practice Problems
  2. Transformations: How to Shift Graphs on a Plane
  3. What Is Domain and Range in a Function?
  4. How to Add, Subtract, Multiply and Divide Functions
  5. How to Compose Functions
  6. Inverse Functions
  7. Applying Function Operations Practice Problems


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Chapter 8: Rational Expressions

Chapter 8

All Videos in Rational Expressions

  1. Multiplying and Dividing Rational Expressions: Practice Problems
  2. How to Multiply and Divide Rational Expressions
  3. How to Add and Subtract Rational Expressions
  4. Practice Adding and Subtracting Rational Expressions
  5. How to Solve a Rational Equation
  6. Rational Equations: Practice Problems


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Chapter 9: Exponentials and Logarithms

Chapter 9

All Videos in Exponentials and Logarithms

  1. What Is an Exponential Function?
  2. Exponential Growth vs. Decay
  3. What is a Logarithm?
  4. How to Evaluate Logarithms
  5. Logarithmic Properties
  6. Practice Problems for Logarithmic Properties
  7. How to Solve Exponential Equations
  8. How to Solve Logarithmic Equations


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Chapter 10: Sequences and Series

Chapter 10

All Videos in Probability Mechanics

  1. What is Factorial?
  2. Factorial Practice Problems
  3. What is the Binomial Theorem?
  4. Binomial Theorem Practice Problems




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Chapter 11: Reading and Understanding Essays

Chapter 11

All Videos in Sequences and Series

  1. What is a Mathematical Sequence?
  2. How to Find and Classify an Arithmetic Sequence
  3. Finding and Classifying Geometric Sequences
  4. Summation Notation and Mathematical Series
  5. How to Calculate an Arithmetic Series
  6. How to Calculate a Geometric Series
  7. Arithmetic and Geometric Series: Practice Problems

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