Table of Contents Edit this course

• Chapter 1. Number Sets (~18 Minutes)

  Concepts:
  • 1. Introducing the natural numbers and the whole numbers (~2 Minutes)
  • 2. Introducing the integers (~2 Minutes)
  • 3. Introducing the rational numbers (~1 Minutes)
  • 4. Introducing the irrational numbers (~3 Minutes)
  • 5. Repeating decimals (~7 Minutes)

• Chapter 2. Linear Equations and Inequalities (~88 Minutes)

  Concepts:
  • 1. Basic goal of algebra and simple notation (~3 Minutes)
  • 2. Equality and solving the simplest kind of linear equation systematically. (~6 Minutes)
  • 3. Solving linear equations with more than one term that has a variable. (~3 Minutes)
  • 4. Solving linear equations with the addition/subtraction of a constant (~6 Minutes)
  • 5. Solving linear equations that have variable terms on both sides (~7 Minutes)
  • 6. Solving linear equations that have variable terms in the denominator of a fraction. (~5 Minutes)
  • 7. Linear inequalities (~7 Minutes)
  • 8. Graphing Lines (~6 Minutes)
  • 9. Graphing Lines, Slope (~3 Minutes)
  • 10. Graphing Lines, Y-intercept (~3 Minutes)
  • 11. Graphing Lines: More about slope (~7 Minutes)
  • 12. Graphing Lines: Finding the equation for a line (~7 Minutes)
  • 13. Graphing Lines: Slope intercept form (~4 Minutes)
  • 14. Graphing Lines: Finding the x-intercept (~5 Minutes)
  • 15. Converting to slope intercept form (~6 Minutes)
  • 16. Standard form and point slope form for linear equations. (~8 Minutes)

• Chapter 3. Quadratic Equations (~97 Minutes)

  Concepts:
  • 1. Graphing Quadratic Equations by Plotting Points (~5 Minutes)
  • 2. Multiplying Polynomials: FOIL (~5 Minutes)
  • 3. Factor Quadratic Equations (~3 Minutes)
  • 4. Solving factored quadratic equations. (~4 Minutes)
  • 5. Binomial squares (~7 Minutes)
  • 6. Factoring trinomials with non-1 coefficients (~4 Minutes)
  • 7. Graphing quadratic functions (~1 Minutes)
  • 8. Completing the square: Part 1 (~4 Minutes)
  • 9. Completing the square: Part 2 (~6 Minutes)
  • 10. Graphing quadratic equations: finding the vertex (~7 Minutes)
  • 11. Introduction to the quadratic equation (~5 Minutes)
  • 12. Introduction to i (~6 Minutes)
  • 13. Introduction to complex numbers: Addition and subtraction (~4 Minutes)
  • 14. Introduction to complex numbers: Multiplication (~3 Minutes)
  • 15. Introduction to complex numbers: Division (~9 Minutes)
  • 16. Quadratic inequalities (~10 Minutes)
  • 17. Graphing quadratic inequalities (~10 Minutes)

• Chapter 4. Absolute Value (~20 Minutes)

  Concepts:
  • 1. Absolute value equations (~2 Minutes)
  • 2. Basic absolute value inequalities (~4 Minutes)
  • 3. Absolute value inequalities: linear inequalities (~8 Minutes)
  • 4. Absolute value inequalities: mixed inequalities (~3 Minutes)

• Chapter 5. Systems of Equations and Inequalities (~59 Minutes)

  Concepts:
  • 1. Introduction to systems of equations (~10 Minutes)
  • 2. Graphing systems of equations (~4 Minutes)
  • 3. Graphing systems of equations, Part 2 (~6 Minutes)
  • 4. Solving systems of equations by elimination (~4 Minutes)
  • 5. Systems of equations, Infinite solutions (~5 Minutes)
  • 6. Systems of equations: Rate Word Problems (~6 Minutes)
  • 7. Graphing systems of inequalities (~5 Minutes)
  • 8. Solving non-linear systems of equations by graphing (~6 Minutes)
  • 9. Solving non-linear systems of equations by substitution (~9 Minutes)

• Chapter 6. Functions (~67 Minutes)

  Concepts:
  • 1. Introduction to functions (~4 Minutes)
  • 2. Basic function composition (~2 Minutes)
  • 3. Definition of function (~5 Minutes)
  • 4. Definition of function, Part 2 (~3 Minutes)
  • 5. Domain of a function (~3 Minutes)
  • 6. Range of a function (~4 Minutes)
  • 7. More domain and range problems (~4 Minutes)
  • 8. Introduction to inverse functions (~4 Minutes)
  • 9. Finding inverse functions (~2 Minutes)
  • 10. Graph of f? ^?1 (~4 Minutes)
  • 11. Practice finding f? ^??1 (~7 Minutes)
  • 12. The existence of f???1 for quadratic functions (~1 Minutes)
  • 13. Test for the existence of f ^??1, and practice finding the inverse of quadratic functions (~7 Minutes)
  • 14. Even functions (~6 Minutes)
  • 15. Odd functions (~7 Minutes)

• Chapter 7. Logarithms and Exponents (~60 Minutes)

  Concepts:
  • 1. Basic Exponent Operations, Part 1 (~3 Minutes)
  • 2. Exponents: Basic Exponent Operations, Part 2 (~5 Minutes)
  • 3. Exponents: Basic Exponent Operations, Part 3 (~3 Minutes)
  • 4. Exponents: Basic Exponent Operations, Part 4 (~4 Minutes)
  • 5. Introduction to Logarithms (~5 Minutes)
  • 6. Solving for the base in simple logarithmic equations (~1 Minutes)
  • 7. Special exponents and bases (~3 Minutes)
  • 8. Logarithms with negative values (~2 Minutes)
  • 9. Properties of logarithms: adding logarithms (~6 Minutes)
  • 10. Properties of logarithms: subtracting logarithms (~4 Minutes)
  • 11. Properties of logarithms: multiplying logarithms and powers (~4 Minutes)
  • 12. Properties of logarithms: change of base property (~7 Minutes)
  • 13. Graphing logarithmic equations (~10 Minutes)

• Chapter 8. Miscellaneous Topics in Algebra (~50 Minutes)

  Concepts:
  • 1. Sequences: additive sequences (~3 Minutes)
  • 2. Sequences: finding a formula for additive sequences (~5 Minutes)
  • 3. Permutations and Combinations: Introduction to Permutations (~3 Minutes)
  • 4. Permutations and Combinations: Introduction to Combinations (~8 Minutes)
  • 5. Binomial Theorem: Introduction to the binomial theorem (~13 Minutes)
  • 6. Binomial Theorem, Part 2 (~15 Minutes)

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