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Algebra Trigonometry: Equations and Inequalities

Video Introducing this tutorial

General Course Information - Important
Instructor Introduction
Course Curriculum
How to Use This Course
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The Rectangular Coordinate Systems and Graphs :
Cartesian Coordinate System
Plotting Points in a Rectangular Coordinate System
Graphing an Equation in Two Variables by Plotting Points
Exercise – Graphing an Equation in Two Variables by Plotting Points
Graphing Equations with a Graphing Utility
Finding x- and y-intercepts of a graph
Exercise - Finding x- and y-intercepts of a graph
Distance Formula
Exercise - Distance Formula
Midpoint Formula Derivation
Exercise – Midpoint Formula


Linear Equations in One Variable :
Linear Equations Introductions
Linear Equations in One Variable
Solving an Equation on One Variable
Solving a Rational Equation
Exercise – Solving Rational Equations
Solving Rational Equations with Binomial in Denominator
Rational Equations Excluded Values
Exercise - Rational Equations Excluded Values
Equation of Straight Lines Introduction
Slope of a Straight Line
Exercise - Slope of a Straight Line
Point-Slope Form Formula of a Straight Line
Exercise – Point-Slope Form Formula of a Straight Line
Standard Form of a Line
Horizontal and Vertical Lines
Perpendicular Lines and their Slopes
Parallel and Perpendicular Lines and their Slopes
Exercise - Parallel and Perpendicular Lines and their Slopes
Equation of a Line Parallel or Perpendicular to a Given Line


Linear Equations - Models and Application :
Linear Equations Models and Applications
How to Set Up a Linear Equation to Solve a Real World Problem
Setting up Linear Equations
Exercise – Setting Up a Linear Equation (Part 1 of 2)
Exercise – Setting Up a Linear Equation (Part 1 of 2)
Exercise - Setting Up a Linear Equation
Exercise - Setting Up a Linear Equation


Complex Numbers :
Brief Categorization of Real, Imaginary and Complex Numbers
Imaginary Numbers, Complex Numbers and “i”
Expressing an Imaginary Number in Standard Form
How to Plot a Complex Number on the Complex Plane
Adding and Subtracting Complex Numbers
Multiplying Complex Numbers
Dividing Complex Numbers
Exercise – Dividing Complex Numbers
Simplifying Powers of “i”
Exercise – Simplifying the Powers of “i”


Quadratic Equations :
Quadratic Equations Introduction
Graphs of Quadratic Equations
Solving Quadratic Equations by Factoring
Solving Quadratic Equations - Difference of Squares Rule
Solving Quadratic Equations - Grouping
Solving a Higher Degree Quadratic Equation - Factoring
Solving a Quadratic Equation - Square Root Property
Exercise – Solving a Quadratic Equation Using Square Root Property
Solving Quadratic Equations - Completing the Square
Exercise - Solving Quadratic Equations by Completing the Square(Part 1 of 2)
Exercise - Solving Quadratic Equations by Completing the Square(Part 2 of 2)
Exercise - Solving Quadratic Equations by Completing the Square
Quadratic Formula Derivation
Exercise – Solving Quadratic Equations using Quadratic Formula
Discriminant of a Quadratic Equation
Exercise - Discriminant of a Quadratic Equation
Pythagorean Theorem and Solving Quadratic Equations


Other Types of Equations :
Solving Equations Involving Rational Exponents
Exercise - Solving Equations Involving Rational Exponents
Solving Equations Containing Polynomials by Factoring
Solving Radical Equations
Exercise - Solving Radical Equations
Exercise - Solving Radical Equations With Two Radicals
Exercise - Solving Radical Equations With Two Radicals
Solving Absolute Value Equations (Part 1 of 2)
Solving Absolute Value Equations (Part 2 of 2)
Exercise - Solving Absolute Value Equations
Exercise - Solving Absolute Value Equations
Solving Equations in Quadratic Form
Exercise - Solving Equations in Quadratic Form
Solving an Equation in Quadratic Form Containing a Binomial
Solving Rational Equations Resulting in a Quadratic
Exercise - Solving Rational Equations Resulting in a Quadratic


Linear Inequalities and Absolute Value Inequalities :
Interval Notation
Exercise – Interval Notation
Properties of Inequalities and Exercises
Solving Inequalities in One Variable Algebraically
Understanding Compound Inequalities
Solving Absolute Value Inequalities (Part 1 of 2)
Solving Absolute Value Inequalities (Part 2 of 2)
Exercise - Solving Absolute Value Inequalities
Exercise - Solving Absolute Value Inequalities (Part 1 of 2)
Exercise - Solving Absolute Value Inequalities (Part 2 of 2)

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