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.

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.
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All content in “Multiplying and factoring expressions”

Multiplying and dividing monomials

"Monomials" sounds like a fancy word, but it just refers to single terms like "4x" or "8xy" or "17x^2z". In this tutorial, we'll learn to multiply and divide them using ideas you're already familiar with (like exponent properties and greatest common factor).

Factoring quadratic expressions

Not only is factoring quadratic expressions (essentially second-degree polynomials) fun, but it is good for you. It will allow you to analyze and solve a whole range of equations. It will allow you to impress people at parties and move up the career ladder. How exciting!

Factoring by grouping

Factoring by grouping is probably the one thing that most people never really learn well. Your fate doesn't have to be the same. In this tutorial, you'll see how factoring by grouping can be used to factor a quadratic expression where the coefficient on the x^2 term is something other than 1?

Factoring quadratics in two variables

We'll now extend the application of our quadratic-factoring toolkit, by factoring expressions with two variables. As we'll see, this is really just an extension of what you probably already know (or at least will know after working through this tutorial). Onward!

Polynomial basics

"Polynomials" sound like a fancy word, but you just have to break down the root words. "Poly" means "many". So we're just talking about "many nomials" and everyone knows what a "nomial" is. Okay, most of us don't. Well, a polynomials has "many" terms. From understanding what a "term" is to basic simplification, addition and subtraction of polynomials, this tutorial will get you very familiar with the world of many "nomials." :)

Multiplying polynomials

You'll see in this tutorial that multiplying polynomials is just an extension of the same distributive property that you've already learned to multiply simpler expression (that's why we think FOIL is lame--it doesn't generalize and it is more memorization than real understanding).