Algebra I

Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.
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Introduction to algebra

Videos exploring why algebra was developed and how it helps us explain our world.

Linear equations

We will now equate two algebraic expressions and think about how it might constrain what value the variables can take on. The algebraic manipulation you learn here really is the heart of algebra.

Linear inequalities

Exploring a world where both sides aren't equal anymore!

Two-variable linear equations and introduction to functions

Learn all about linear equations and their graphs. Model real-world situations by writing linear equations and functions.

Functions

Identifying, solving, and graphing various types of functions.

Sequences

You may have worked with patterns in earlier grades, now it's time to move on to sequences! Did you know sequences are simply functions, defined over the whole numbers?

Systems of linear equations

Learn how to interpret solutions to systems of linear equations and solve them.

Two-variable linear inequalities

Graph linear inequalities in two variables and systems of inequalities. Interpret the solution sets of inequalities.

Multiplying and factoring expressions

This topic will add a ton of tools to your algebraic toolbox. You'll be able to multiply any expression and learn to factor a bunch a well. This will allow you to solve a broad array of problems in algebra.

Quadratic equations

In this topic, we'll analyze, graph and solve quadratic equations.

Exponent expressions and equations

Solving exponential and radical expressions and equations. Using scientific notation and significant figures.

Ratios and proportions

What ratios and proportions are. Using them to solve problems in the real world.

Introduction to algebra

Videos exploring why algebra was developed and how it helps us explain our world.
Community Questions
All content in “Introduction to algebra”

Overview and history of algebra

Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it.

Algebraic expressions with fractions

Algebraic expressions can be composed of pretty much any operation, including fractions. Here we'll explore how to manipulate fractions algebraically. In some ways this is just a review of adding, subtracting, multiplying and dividing fractions, but now we are doing it with variables!

Getting a feel for equations and inequalities

The core underlying concepts in algebra are variables, expressions, equations and inequalities. You will see them throughout your math life (and even life after school). This tutorial won't give you all the tools that you'll later learn to analyze and interpret these ideas, but it'll get you started thinking about them.