Intro to Algebra
About this free Intro to Algebra course
Intro to Algebra is a free online Algebra 1 course that teaches students to think with variables. It turns algebra into a set of puzzles, where you solve for x, graph linear equations, and simplify complex expressions with style.
It starts with a short pre-algebra review, then covers expressions, polynomials, linear equations and their graphs, systems of equations, functions, and factoring quadratics. Each topic lists the steps to follow, works through an example, and gives practice problems with an answer key. You'll always know how to approach a problem and can check your work right away.
Who this course is for
The course is for students in grades 7 through 9 who are starting Algebra 1, and for older students who want a clear refresher. You should be comfortable with fractions, negative numbers, and simple one-step equations. If not, begin with Pre-Algebra.
Course outline
- Pre-algebra review. Variables, combining like terms, equivalent expressions, and fractions in algebra.
- Algebra foundations. Factoring out common terms and evaluating expressions with one or more variables.
- Polynomials. Monomials and polynomials, multiplying polynomials, simplifying, and polynomial long division.
- Linear equations and graphing. Slope, the main forms of linear equations, parallel and perpendicular lines, and distance and midpoint.
- Systems of linear equations. Solving systems and recognizing special cases with no solution or infinitely many.
- Solving equations. Simplifying expressions and solving two-step, three-step, and multi-step equations.
- Functions and factoring quadratics. Functions, domain and range, factoring quadratics, and the zero product property.
What you'll learn
- Simplify and evaluate algebraic expressions
- Solve multi-step linear equations
- Graph lines and write equations in slope-intercept, point-slope, and standard form
- Solve systems of two linear equations
- Factor quadratics and solve them with the zero product property
How long it takes
Budget about 20 hours: roughly three hours per unit including practice problems. The course works well alongside a school Algebra 1 class or as summer preparation.
Frequently asked questions about Intro to Algebra
Is Intro to Algebra really free?
Yes. Intro to Algebra is completely free, with no fees, subscriptions, or account required. STEM for Others is a 501(c)(3) nonprofit, and every course in our curriculum library is free for students, families, and teachers.
Is this course the same as Algebra 1?
It covers the core Algebra 1 topics most schools teach, including linear equations, graphing, systems, polynomials, functions, and factoring quadratics. Use it to learn ahead, catch up, or review before a test.
How do I start the course?
Click Begin Course at the top of this page to open the full slide deck in a new tab. You can also flip through the slides embedded above. Work through one unit at a time and try the practice questions before moving on.
Do I get a certificate?
The self-paced Intro to Algebra materials don't include an official certificate. If you're taking the course through a STEM for Others chapter program, ask your chapter leader about recognizing your completion.
Can teachers and clubs use this curriculum?
Yes. Teachers, homeschool families, libraries, and after-school clubs are welcome to use the Intro to Algebra materials with their students at no cost. STEM for Others volunteers also teach our curriculum in partner schools and libraries. You can find a chapter near you or start one at your school.
