College Algebra with the Math Sorcerer

Name: College Algebra with the Math Sorcerer
Rating: 4.8 (1352 reviews)

College Algebra Course with HUNDREDS of Video Examples:)

Created byThe Math Sorcerer

Last updated 5/2026

English

What you'll learn

How to Solve Linear Equations with and without Fractions
How to Solve Rational Equations
How to Solve Word Problems
How to Add, Subtract, Multiply, and Divide Complex Numbers
How to Solve Quadratic Equations by Factoring
How to Solve Quadratic Equations using the Square Root Property
How to Solve Quadratic Equations by Completing the Square
How to Solve Quadratic Equations by using the Quadratic Formula
How to Solve Equations with Square Roots
How to Solve Equations with Rational Exponents
How to Solve Equations by using Substitutions
How to Solve Absolute Value Equations
How to Solve Absolute Value Inequalities
Understand what a Relation is
Understand what a Function is
How to Find the Domain and Range of a Relation
How to Determine if a Relation is a Function
How to use the Vertical Line Test
How to Find Relative Extrema(Maximums and Minimums) from a Graph
How to Determine where a Function is Increasing, Decreasing, or Constant from the Graph
Understand Even and Odd Functions
How to Determine if a Function is Even, Odd, or Neither
How to Evaluate Piecewise Functions
How to Compute the Difference Quotient
How to Find the Slope of a Line
How to Use the Slope Intercept Formula
How to Use the Point Slope Formula
How to Find the Equation of the Line that is Parallel to another Line
How to Find the Equation of the Line that is Perpendicular to another Line
How to Find the Average Rate of Change of a Function
Knowledge of the Basic Graphs
How to Graph the Standard Quadratic Function
How to Graph the Standard Cubic Function
How to Graph the Square Root Function
How to Graph the Cube Root Function
How to Graph the Absolute Value Function
How to Find the Domain of Rational Functions
How to Find the Domain of Square Root Functions
Understand the Notion of Function Composition
How to Find the Composition of Two Functions
How to Find the Sum, Difference, Product, and Quotient of Functions and Find the Domain
How to use the Horizontal Line Test
Understand the Idea behind Inverse Functions
How to Find the Inverse of a Function by Following a Series of Steps
How to Find the Inverse of a Function by using Pure Understanding with No Work to Show(super awesome!!)
How to Find the Midpoint of a Line Segment
How to Find the Distance Between Two Points
Understand the Concept of a Circle
How to Find the Equation of a Circle in Various Scenarios
How to Complete the Square to Write a Circle in Standard Form
How to Graph a Circle and find it's Domain and Range
Understand the Standard Form of a Quadratic Function
How to Find the Vertex and Axis of Symmetry of a Quadratic Function in Standard Form
How to Find the Vertex and Axis of Symmetry of a Quadratic Function in General Form using a Formula
How to Graph a Quadratic Function
Understand what Polynomials are and their Purpose
Understand Properties of the Graphs of Polynomials
How to Find the End Behavior of a Polynomial
How to Find the Zeros of a Polynomial and their Multiplicities
Understand How Multiplicities Affect the Behavior of Polynomial Functions at x-intercepts
How to Graph Polynomial Functions
How to Perform Long Division
How to Perform Synthetic Division
How to use the Rational Roots Theorem/Rational Zeros Theorem
How to Solve Polynomial Equations
How to Find a Polynomial given the Zeros and a Point
How to Find the Holes and Vertical Asymptotes of a Rational Function
How to Find the Horizontal Asymptotes of a Rational Function
Two Important Graphs and Their Translations
How to Find the Domain, Range, and Asymptotes from the Graph of a Rational Function
Understand Direct, Inverse, and Joint Variation
How to Graph Exponential Functions
How to Convert from Exponential Form to Logarithmic Form
How to Convert from Logarithmic Form to Exponential Form
How to Compute Values of Logarithms
How to Find the Domain of Logarithmic Functions
How to Graph Logarithmic Functions
How to use the Change of Base Formula
How to Expand using the Properties of Logarithms(tons of examples!)
How to Condense using the Properties of Logarithms(tons of examples!)
How to Solve Exponential Equations(tons of examples!)
How to Solve Logarithmic Equations(tons of examples!)
How to Find the Inverse of Exponential Functions
How to Find the Inverse of Logarithmic Functions
Understand the Compound Interest Formula
How to Find the Time Required to Double your Money
How to Solve Linear Systems of Equations with Two Variables using the Addition/Elimination Method
How to Solve Linear Systems of Equations with Two Variables using the Substitution Method
How to Solve Linear Systems of Equations with Three Variables
How to Solve Nonlinear Systems of Equations of Equations
How to Graph Inequalities

Course content

37 sections • 234 lectures • 10h 56m total length

Introduction to Linear Equations5:48
Solving a Linear Equation Example 10:37
Solving a Linear Equation Example 20:30
Solving a Linear Equation Example 31:13
Solving a Linear Equation Example 40:52
Solving a Linear Equation Example 51:24
Solving a Linear Equation Example 61:32
Solving a Linear Equation Example 70:38
Solving a Linear Equation Example 80:51
Solving a Linear Equation Example 90:34
Solves linear equations in college algebra by isolating x in 3x + 5 = 2x + 13. Subtract 2x and 5 to find x = 8.
Solving a Linear Equation Example 100:48
Solve a linear equation by adding five to both sides and dividing by seven to find x; the example 7x - 5 = 72 yields x = 11.
Solving a Linear Equation Example 111:06
Solving a Linear Equation Example 121:12
Distribute on the left and right sides, combine like terms, move all x terms to the left, and isolate x to get x equals 9.
Solving a Linear Equation with Fractions Example 11:13
Solving a Linear Equation with Fractions Example 21:10
Solving a Linear Equation with Fractions Example 31:54
Assignment on Linear Equations0:02
Download the assignment below:)
Solutions are on the second page.

Introduction to Complex Numbers13:55
Adding and Subtracting Complex Numbers Example 11:23
Adding and Subtracting Complex Numbers Example 22:01
Adding and Subtracting Complex Numbers Example 31:16
Multiplying Complex Numbers Example 11:37
Multiplying Complex Numbers Example 22:00
Multiplying Complex Numbers Example 32:06
Multiplying Complex Numbers Example 42:17
Assignment on Complex Numbers0:02
Download the assignment below:)
Solutions are on the second page.
Dividing Complex Numbers2:09

How to Solve Quadratic Equations16:34
Solving a Quadratic Equation by Factoring1:33
Solving a Quadratric Equation with the Square Root Property1:01
Solving a Quadratic Equation by Completing the Square Example 12:25
Solving a Quadratic Equation by Completing the Square Example 22:07
Solving a Quadratic Equation by Completing the Square Example 34:08
Solving a Quadratic Equation by Completing the Square Example 44:12
Solving a Quadratic Equation using the Quadratic Formula2:46
Assignment on Quadratic Equations0:02
Download the assignment below:)
The solutions are on the second page.

How to Solve Equations with Square Roots4:32
Solve radical equations by isolating the square root, squaring both sides, and solving the resulting quadratic, then verify solutions in the original equation using the zero product principle.
Equations with Square Roots Example 13:39
Learn to solve equations with square roots by squaring both sides, factor the resulting quadratic, and verify that x = 8 is the valid root.
Equations with Square Roots Example 24:51
Equations with Square Roots Example 33:42
Isolate one square root, square both sides, and use the (a−b)^2 expansion to solve equations with two square roots. Verify the original equation to confirm or expose no solution.
Equations with Square Roots Example 46:03
Equations with Square Roots Example 53:10
Solve for x by isolating square root terms, square both sides, apply foiling, obtain x equals twenty nine, and verify by plugging back to confirm the original equation.

Requirements

A Desire to Learn some Good Mathematics:)

Description

This is a complete college level course in Algebra, hence the name College Algebra:)

Basically just,

1) Watch the videos, and try to follow along with a pencil and paper, take notes!

2) Eventually you should be able to do the problems before I do them. Try! Keep watching until you can do the problems on your own:)

3) There are assignments throughout the course. Work through these if you need more practice.

4) Repeat!

If you finish even 50% of this course you will know A LOT of College Algebra and more importantly your Algebra skills will improve a ton!

College Algebra is an awesome class because it prepares you for higher level math in a big way. To be honest, lots of higher level math like Calculus isn't even that hard, it's the ALGEBRA that makes Calculus hard! This means if you become really good at Algebra then once you get to Calculus it will be much easier!

I hope you enjoy watching these videos and working through these problems as much as I have:)

Note this course has lots of very short videos with assignments. If you are trying to learn algebra then this format can be good because you don't have to spend tons of time on the course every day. Even if you can only spend time doing 1 video a day, that is honestly better than not doing any mathematics. You can learn a lot and because there are so many videos you could do 1 video a day. Good luck and I hope you learn a lot of math.

Who this course is for:

Everyone!

College Algebra with the Math Sorcerer

What you'll learn

Explore related topics

Course content

Linear Equations17 lectures • 21min

Rational Equations2 lectures • 7min

Word Problems1 lecture • 2min

Complex Numbers10 lectures • 29min

Quadratic Equations9 lectures • 35min

Equations with Square Roots6 lectures • 26min

Equations with Rational Exponents1 lecture • 3min

Equations with Substitution Techniques2 lectures • 7min

Absolute Value Equations3 lectures • 8min

Absolute Value Inequalities3 lectures • 11min

Requirements

Description

Who this course is for: