Dave4Math / Courses / Solving Equations and Inequalities

Solving Equations and Inequalities

Master solving equations and inequalities. With these lessons, you'll learn to solve equations, work with complex numbers, and solve inequalities. With this course, solve inequalities will no longer be challenging.


January 11, 2021

Created by Dave

This course begins Summer 2021.
Current Status
Not Enrolled
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Have you ever been left wondering what your teaching is thinking when their writing on the board? Maybe, they just don’t seem to communicate very well. Introducing Dave’s online math course: Solving Equations and Inequalities. Many examples, a lot of understanding, and most of all, lots of communication. Isn’t it the best way to help students become successful is to interact with them?

Who This Course is For

  • Students in college who want to learn more mathematics.
  • Anyone interested in solving equations and solving inequalities.
  • Students who are enrolled in precalculus and want to improve their grade.
  • Anyone interested in getting prepared for calculus 1.
  • Anyone wanting to learn about linear equations, graphing methods, complex numbers, solving equations graphically and algebraically.


There is no required textbook, though you will need an up-to-date web browser, paper, and pen. A hand-held scientific calculator of your choice is required.

What You’ll Learn in Solving Equations and Inequalities

  • Equations and Solutions of Equations
  • Using Math Models to Solve Problems
  • Common Formulas
  • Intercepts, Zeros, and Solutions
  • Finding Solutions Graphically
  • Points of Intersection of Two Graphs
  • The Imaginary Unit i
  • Operations with Complex Numbers
  • Complex Conjugates
  • Fractals and the Mandelbrot Set
  • Quadratic Equations
  • Polynomial Equations
  • Equations Involving Radicals
  • Equations Involving Fractions
  • Equations Involving Absolute Values
  • Properties of Inequalities
  • Solving a Linear Inequality
  • Inequalities Involving Absolute Values
  • Polynomial Inequalities
  • Rational Inequalities
  • Applications

Course Description

I recommend the prerequisite course Solving Equations and Inequalities. If you’re not sure if this course is for you, checkout the course contents below or find out more by checking out my free precalculus articles.

Course Content

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David A. Smith

Mathematics Educator

I sincerely believe that the potential in every student can be unlocked. As an accomplished and dedicated instructor, I have firm confidence that I can provide significant value to your studies.

I relish teaching and use it as a channel for my creativity as I seek to deliver real-life and relevant connections between the mathematics that I teach and my students. Promoting an active learning environment and excitement about mathematics is my dream come true.

David Smith (Dave) has a B.S. and M.S. in Mathematics and has enjoyed teaching precalculus, calculus, linear algebra, and number theory at both the junior college and university levels for over 20 years. David is the founder and CEO of Dave4Math.