MathThe ProfessorIntermediate
Algebra: From Equations to Functions, a free math course on Tomo

Algebra: From Equations to Functions

Bridge the gap between basic arithmetic and advanced mathematical modeling. Learn to manipulate complex expressions, solve systems of constraints, and visualize the hidden curves that define our world.

Like Duolingo, but for Algebra: From Equations to Functions. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.

26 levels across 4 sections, about 52 minutes end to end, roughly 10 days at five minutes a day. It moves through Solving with Strategy, Seeing the Shape, Advanced Manipulation, and The Logic of Algebra. It assumes you already know the basics.

26 bite-size levelsAbout 5 minutes each

Free forever · No credit card · iPhone & Android

Al the Algebraic Alligator, the guide who teaches the Algebra: From Equations to Functions course
Algebra: From Equations to Functions
with Al the Algebraic Alligator
26
Levels
4
Sections
5
Min/day
What you'll learn

Key ideas in Algebra: From Equations to Functions

  • The equals sign represents a scale that tips if one side is modified alone
  • Isolating a variable requires reversing the standard order of operations
  • Applying an operation to only one term instead of the whole side breaks equality
  • Addition and subtraction are typically undone before multiplication and division
  • The fundamental rule of maintaining equality through balanced operations
  • The sequence of operations used to isolate a variable by reversing PEMDAS
  • The distributive property multiplies the outer term by every term inside the parentheses
  • Like terms must have the exact same variable and exponent to be merged
  • Distributing removes parentheses so terms can be moved across the equals sign
  • Combining constants and variables into one term is a syntax error in algebra
  • Identifying which terms can be combined to simplify an expression
  • Substitution replaces the variable with the solution to check for a true statement
  • Using the distributive property to remove grouping symbols
  • A correct solution results in both sides of the equation equaling the same value
  • Verifying a solution's accuracy through substitution
  • A system solution must satisfy every individual equation at the same time
Why not just Google it

You've tried the other tabs

Wikipedia

Thirty open tabs. Four facts you actually kept.

YouTube

You watched. You nodded. By Sunday it was gone.

ChatGPT

One answer, then back to scrolling.

Online courses

Eight weeks. You meant to finish. You didn't.

Tomo gives Algebra: From Equations to Functions the Duolingo treatment: levels, streaks, and quick quizzes that test what you just learned. That game loop is what the tabs above never had, so it's the one you actually finish.

Try a question

Here's what playing it feels like

A real question from this course. Take your best guess.

The Art of the Inverse

When your goal is to isolate a variable in a multi-step equation, how do you typically handle the order of operations?

Get it right to open this lesson and 25 more in the app.

Course map

How to learn Algebra: From Equations to Functions, step by step

Go in order. 26 short levels across 4 sections, about 52 minutes in all, five minutes a day.

  1. 1

    Solving with Strategy

    • Mastering Multi-Step Equations
    • Systems of Equations: Finding the Intersection
  2. 2

    Seeing the Shape

    • Linear Functions and Real-World Slopes
    • Quadratic Relationships: The Power of the Curve
  3. 3

    Advanced Manipulation

    • Factoring Strategies for Complex Polynomials
    • Rational Expressions and Proportional Logic
  4. 4

    The Logic of Algebra

    • Inequalities and Region-Based Thinking
    • Logarithms and Exponential Growth

4 sections · 8 units · 26 levels. Built to play, not to enroll.

Questions

Questions about Algebra: From Equations to Functions

  1. How do I learn Algebra: From Equations to Functions?

    Go in order: start with Solving with Strategy, then Seeing the Shape, then Advanced Manipulation, then The Logic of Algebra. On Tomo that's 26 short levels, about 52 minutes in all, played five minutes a day. Start free and play the first level in under a minute.

  2. Is there a Duolingo-style app for Algebra: From Equations to Functions?

    Yes. Tomo works like Duolingo: short daily lessons, streaks and quick quizzes. Algebra: From Equations to Functions is one of its free courses, and you can type any other topic to get a course of your own.

  3. Is the Algebra: From Equations to Functions course free?

    Yes. Algebra: From Equations to Functions is playable on Tomo's free plan, which doesn't expire. No credit card, no waitlist. Download the app and start your first lesson.

  4. How long does it take to learn Algebra: From Equations to Functions?

    26 levels across 4 sections, about 52 minutes of play in total. It's built for five minutes a day, so you finish it a little at a time instead of all at once.

  5. Do I need any background to start Algebra: From Equations to Functions?

    No. It's pitched at an intermediate level, so it starts where you are and builds up. If you can tap a phone, you can start.

New

Tomo is in ChatGPT

Tomo is also a ChatGPT plugin: the same playable courses, built and played inside your chat.

Add Tomo to ChatGPT
How it's taught

You pick the voice

This course
The Professor

Algebra: From Equations to Functions is taught in the Professor style: clear, structured, thorough. Want a different feel? In the app you can spin up the same topic in any of Tomo's teaching styles. Same facts, totally different vibe.

Start free

Start Algebra: From Equations to Functions today.

Download Tomo, search Algebra: From Equations to Functions, and play your first lesson in under a minute.