# 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.

## Introduction to algebra

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

## One-variable linear equations

Learn how to solve linear equations that contain a single variable. For example, solve 2(x+3)=(4x-1)/2+7.

## One-variable linear inequalities

Learn how to solve linear inequalities with a single variable. For example, solve -3(x+1)>2x-7. Learn how to solve compound inequalities. For example, solve 2x+1>3 AND -x-5<4.

## Units of measurement in modeling

Modeling is an amazing world, full of challenges. In this topic, we will start to think about some general modeling concerns, before we dive into modeling situations with different kinds of functions and equations throughout the Algebra curriculum.

## 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

Functions are mathematical entities that assign unique outputs to given inputs. Sounds simple? Think again!
In this topic you will evaluate, graph, analyze, and create various types of functions.

## Sequences

Learn about the various ways in which we can define sequences; Use and construct arithmetic and geometric sequences.

## Systems of linear equations

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

## Two-variable linear inequalities

In this topic, we study inequalities like x+2y>5 and graph them. This helps us see their solutions. We also explore systems of inequalities (multiple inequalities at the same time) and use them to describe real-world situations.

## Absolute-value equations, functions, and inequalities

Learn how to solve absolute-value equations, how to graph absolute-value functions, and how to solve absolute-value inequalities.

## Introduction to polynomials

Learn how to add, subtract, and multiply polynomial expressions. For example, write (2x+3)(x-1) as 2x^2+x-3.

## Introduction to polynomial factorization

Learn how to write polynomial expressions as the product of linear factors. For example, write x^2+3x+2 as (x+1)(x+2).

## Quadratic equations and functions

Learn how to solve quadratic equations, and how to analyze and graph quadratic functions.

## Expressions with rational exponents and radicals

Learn about expressions with rational exponents like x^(2/3), about radical expressions like √(2t^5), and about the relationship between these two forms of representation. Learn how to evaluate and simplify such expression.

## Introduction to exponential functions

Learn how to construct, analyze, graph, and interpret basic exponential functions of the form f(x)=a*r^x.

## Rational and irrational numbers

Learn about irrational numbers and how to identify them.

## Seeing structure in expressions

Learn how to use algebra in order to solve problems that involve variables whose values are unknown.

## Miscellaneous

## Old content

Content that belongs in missions other than Algebra 1. This content will be removed from Algebra 1 soon.