# Arithmetic Review Videos

Topic |
Video |
Notes |

Adding and Subtracting Fractions | Video | Notes |

Decimal Operations | Video | Notes |

Fractions, Decimals and Percentages | Video | Notes |

Mixed Numbers Conversion and Operations | Video | Notes |

Multiplying and Dividing Fractions – Basics | Video | Notes |

Multiplying and Dividing Fractions – Intermediate | Video | Notes |

Negative Numbers | Video | Notes |

Operations on Whole Numbers | Video | Notes |

Rounding and Estimation | Video | Notes |

Square Roots – Basics | Video | Notes |

# Algebra Review Videos

Topic |
Video |
Notes |

Absolute Value Equations and Inequalities | Video | Notes |

Adding and Subtracting Rational Expressions | Video | Notes |

Applications of Linear Equations | Video | Notes |

Applications of Quadratic Equations | Video | Notes |

Applications of Rational Equations | Video | Notes |

Applications of Systems of Equations | Video | Notes |

Completing the Square | Video | Notes |

Dividing a Polynomial by a Monomial | Video | Notes |

Dividing Polynomials | Video | Notes |

Domain and Range – Basics | Video | Notes |

Ellipses | Video | Notes |

Evaluating Algebraic Expressions | Video | Notes |

Exponent Rules – Integers | Video | Notes |

Exponentials and Logarithms – Basics | Video | Notes |

Exponentials and Logarithms – Intermediate | Video | Notes |

Factoring Difference of Squares – Basics | Video | Notes |

Factoring Difference of Squares – Intermediate | Video | Notes |

Factoring Trinomials – Basics (with a=1) | Video | Notes |

Factoring Trinomials – Intermediate | Video | Notes |

Finding Equations of Lines | Video | Notes |

Graphing Linear Equations | Video | Notes |

Hyperbolas | Video | Notes |

Linear and Compound Inequalities | Video | Notes |

Linear Inequalities | Video | Notes |

Mixture Word Problems | Video | Notes |

Multiplying and Dividing Rational Expressions | Video | Notes |

Multiplying Polynomials – Basics | Video | Notes |

Multiplying Polynomials – Intermediate | Video | Notes |

Percent Applications | Video | Notes |

Proportions | Video | Notes |

Radicals | Video | Notes |

Simplifying Expression | Video | Notes |

Solving Formulas | Video | Notes |

Solving Linear Equations with Fractions | Video | Notes |

Solving Nonlinear Inequalities | Video | Notes |

Solving Quadratic Equations | Video | Notes |

Solving Quadratic Equations by Factoring – Basics | Video | Notes |

Solving Quadratic Equations by Factoring – Intermediate | Video | Notes |

Solving Quadratic Equations with Quadratic Formula – Basics | Video | Notes |

Solving Quadratic Equations with Quadratic Formula – Intermediate | Video | Notes |

Solving Radical Equations – Basics | Video | Notes |

Solving Radical Equations – Intermediate | Video | Notes |

Solving Rational Equations | Video | Notes |

Solving Simple Linear Equations | Video | Notes |

Solving Systems of Linear Equations | Video | Notes |

Vertex Form of a Quadratic Function | Video | Notes |

# Math 40 Intermediate Algebra Lecture Videos

Each of these links send you to a play list of the videos for that chapter. The videos are listed both by section number and topic.

**Chapter 1 Videos** — This chapter covers:

- simplifying expressions
- order of operations
- subsets of real numbers (Integers, Rationals, etc.)
- properties (commutative, inverse, distributive, etc.)
- translation (English to math)

**Chapter 2 Videos** — This chapter covers:

- solving linear equations
- solving linear and compound inequalities
- solving applications of linear equations and inequalities
- geometric formulas
- unit conversion
- compound interest
- solving absolute value equations and inequalities

**Chapter 3 Videos** — This chapter covers:

- graphing lines
- domain and range
- slope and y-intercept of a line
- definition of a function
- finding the equation of a line
- linear applications
- graphing linear inequalities and systems of linear inequalities

**Chapter 4 Videos** — This chapter covers:

- solving systems of equations by graphing, elimination and by substitution
- solving applications of systems of equations
- distance, rate and time applications
- geometry applications
- mixture applications

**Chapter 5 Videos** — This chapter covers:

- exponent rules
- negative exponents
- rational exponents
- scientific notation
- add, subtract and multiply polynomials
- factoring polynomials
- solving quadratic equations by factoring
- solving applications of quadratic equations

**Chapter 6 Videos** — This chapter covers:

- add, subtract, multiply and divide rational expressions
- simplify complex fractions
- divide polynomials
- solve rational equations
- solve applications of rational equations
- solve direct and indirect variation problems

**Chapter 7 Videos** — This chapter covers:

- simplifying radicals
- simplifying expressions with rational exponents
- add, subtract, multiply and divide radicals
- solve radical equations
- solve applications of radical equations
- complex numbers (working with “i”)

## Chapter 8 Videos — This chapter covers:

- solving a quadratic equation by completing the square
- solving a quadratic equation by using the quadratic formula
- solving quadratic type equations
- solving nonlinear inequalities
- graph parabolas

**Chapter 9 Videos** — This chapter covers:

- graphing exponential functions
- solving exponential equations
- graphing logarithmic functions
- solving logarithmic equations
- work with the properties of logarithms

## Chapter 10 Videos — This chapter covers:

- graphing circles
- graphing ellipses
- graphing parabolas
- graphing hyperbolas
- completing the square to put the equation of a circle of parabola in standard form