Linear Equations and Inequalities; Your complete guide

Course Curriculum

Chapter 1: Introduction

Lecture 1: Introduction

Chapter 2: The basic stuff you need to know to solve linear equations

Lecture 1: What is an equation?

Lecture 2: What is a solution to an equation?

Lecture 3: What does it mean to isolate a variable?

Lecture 4: What are inverse operations?

Lecture 5: What are the properties of equality?

Chapter 3: Solving Linear Equations

Lecture 1: Overview how to solve one-step equations

Lecture 2: Examples for solving one-step equations

Lecture 3: Quiz – One-Step Equations

Lecture 4: Overview how to solve two-step equations

Lecture 5: Examples for solving two-step equations

Lecture 6: Quiz – Solving Two-Step Equations

Lecture 7: Overview how to solve multi-step equations variable same side

Lecture 8: Examples for multi-step equations with variables on the same side

Lecture 9: Quiz – Multi-step equations same side

Lecture 10: Overview how to solve multi-step equation variable on both sides

Lecture 11: Examples for solving multi-step equations with variables on both sides

Lecture 12: Quiz – Multi-step Equations Opposite Sides

Chapter 4: Literal Equations

Lecture 1: Examples Solving Linear Literal Equations

Lecture 2: Examples Solving Literal Equation as formulas

Lecture 3: Examples Solving Literal Equations with Multiple Steps

Lecture 4: Quiz – Literal Equations

Chapter 5: Solving and Graphing One-Variable Inequalities

Lecture 1: Examples for graphing one-variable inequalities

Lecture 2: Examples for Solving and Graphing One-Varialbe Inequalities

Lecture 3: Examples for Solving and Graphing Multi-step Inequalities

Lecture 4: Quiz – Solving and Graphing One-Variable Inequalities

Lecture 5: Examples for Solving and Graphing Compound And Inequalities

Lecture 6: Examples for Solving and Graphing Compound OR Inequalities

Lecture 7: Quiz – Solving and Graphing Compound Inequalities

Lecture 8: Examples for Writing the Compound Inequality from a Graph

Chapter 6: The Basics for writing the equation of a line

Lecture 1: What are perpendicular lines?

Lecture 2: What is a linear equation?

Lecture 3: What is slope?

Lecture 4: What is the y-intercept

Lecture 5: What are parallel lines?

Lecture 6: What is the slope formula?

Chapter 7: Writing the Equation of a line

Lecture 1: Overview determining the slope between two points

Lecture 2: Examples for determining the slope between two points

Lecture 3: Overview for determining the slope between two points

Lecture 4: Examples Writing the equation of a line given the slope and y-intercept

Lecture 5: Examples Writing the equation given the slope through a point

Lecture 6: Quiz – Write Equation Given Point and Slope

Lecture 7: Examples for Writing the equation of a line between two points

Lecture 8: Quiz – Write Equation Given Two Points

Lecture 9: Examples for Writing the equation of a line parallel to another line

Lecture 10: Quiz – Write Equation Parallel to Another Line Through Point

Lecture 11: Examples for Writing the equation of a line perpendicular to another line

Lecture 12: Quiz – Write Equation Perpendicular Through a Point

Chapter 8: Direct Variation

Lecture 1: Examples for writing direct variation of a line through a point

Lecture 2: Examples for writing direct variation when y varies directly with x

Lecture 3: Examples for riting direct variation when y varies directly with x and fractions

Lecture 4: Examples for solving for the missing variable when y varies directly with

Lecture 5: Examples for determining if an equation is an example of direct variation or not

Chapter 9: The Basics of Graphing Linear Equations

Lecture 1: What is a linear equation?

Lecture 2: What is the parent function of a linear equation

Lecture 3: How to write an equation in slope intercept form from standard form

Lecture 4: What are the x and y intercepts of a linear equation

Lecture 5: What is slope intercept form and how do we use it to graph a line

Chapter 10: Graphing Linear Equations in slope-intercept and Standard form

Lecture 1: Overview how to graph an equation in slope intercept form

Lecture 2: Examples for graphing an equation in slope intercept form

Lecture 3: Quiz- Graphing an equation in slope intercept form

Lecture 4: Overview how to graph an equation in standard form

Lecture 5: Examples for graphing an equation in standard form

Lecture 6: Quiz- Graphing an equation in standard form

Chapter 11: Basics for Graphing Linear Inequalities

Lecture 1: How to determine if the graph is solid or dashed

Lecture 2: How to shade a linear inequality

Chapter 12: Graphing Linear Inequalities

Lecture 1: Examples for graphing linear inequalities in slope intercept form

Lecture 2: Examples for graphing linear inequalities in standard form

Lecture 3: Quiz

Chapter 13: Conclusion

Lecture 1: Test Graphing Equations and Inequalities

Chapter 14: Bonus – Basics of Absolute Value

Lecture 1: What is the absolute value symbol mean?

Lecture 2: What is the graph of an absolute value function?

Chapter 15: Bonus – Absolute Value Equations

Lecture 1: Overview for solving absolute value equations

Lecture 2: Examples for solving one-step absolute value equations

Lecture 3: Examples for solving two-step absolute value equations

Lecture 4: Examples for solving Absolute value equations with extraneous solutions

Lecture 5: Examples for solving and graphing absolute value inequalities AND

Lecture 6: Examples for solving and graphing absolute value inequalities OR

Lecture 7: Overview for how to graph absolute value equations

Lecture 8: Examples for Graphing Absolute Value Equations with translations

Lecture 9: Examples for graphing absolute value equations with multiple transformations

Lecture 10: Examples for graphing absolute value equations with dialations

Lecture 11: Overview for how to graph absolute value inequalities

Lecture 12: Examples for graphing absolute value inequalities

Lecture 13: Examples for graphing absolute value inequalities with dialations