Algebra: Equations, Patterns, and Graphs
Build functional confidence in algebra by connecting symbolic rules to real relationships. Learn how to transform multi-step equations, manage exponents and roots, and model continuous and discrete growth through linear functions and sequences.
Like Duolingo, but for Algebra: Equations, Patterns, and Graphs. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.
22 levels across 3 sections, about 44 minutes end to end, roughly 9 days at five minutes a day. It moves through Transforming Expressions and Solving Equations; Exponents, Radicals, and Powers; and Functions, Graphs, and Sequences. It assumes you already know the basics.
Free forever · No credit card · iPhone & Android
Key ideas in Algebra: Equations, Patterns, and Graphs
- Like terms must share identical variable bases raised to identical exponents.
- Factor order within a term does not affect like-term status due to commutativity.
- Mismatched exponents on any variable prevent coefficients from combining.
- Distributing a negative multiplier flips the sign of every term inside parentheses.
- Multiplying a negative factor by a subtracted term yields a positive term.
- The negative multiplier applies to the constant term just like variable terms.
- Factoring reverses distribution by dividing out the greatest common factor.
- The common variable factor takes the lowest exponent shared across all terms.
- The numerical factor is the greatest common divisor of all term coefficients.
- Clearing innermost grouping symbols first isolates internal sign changes cleanly.
- Combining like terms inside brackets minimizes terms before outer distribution.
- Algebraic simplification creates an equivalent expression that shares all outputs.
- Combining like terms restructures the formula without changing its total value.
- Evaluating an expression before and after simplifying serves as an equality check.
- Dividing an equation requires dividing every individual term on both sides by that number.
- Applying an operation to only one term violates the balance between the two expressions.
You've tried the other tabs
Thirty open tabs. Four facts you actually kept.
You watched. You nodded. By Sunday it was gone.
One answer, then back to scrolling.
Eight weeks. You meant to finish. You didn't.
Tomo gives Algebra: Equations, Patterns, and Graphs 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.
Here's what playing it feels like
A real question from this course. Take your best guess.
Can the term 3yx² combine directly with 4x²y?
Get it right to open this lesson and 21 more in the app.
How to learn Algebra: Equations, Patterns, and Graphs, step by step
Go in order. 22 short levels across 3 sections, about 44 minutes in all, five minutes a day.
- 1
Transforming Expressions and Solving Equations
- Simplifying and Expanding Expressions
- Solving Multi-Step Equations
- Proportional Relationships and Rates
- 2
Exponents, Radicals, and Powers
- Exponents and Negative Powers
- Radicals and Fractional Exponents
- 3
Functions, Graphs, and Sequences
- Functions and Linear Graphs
- Sequences and Discrete Patterns
3 sections · 7 units · 22 levels. Built to play, not to enroll.
Questions about Algebra: Equations, Patterns, and Graphs
How do I learn Algebra: Equations, Patterns, and Graphs?
Go in order: start with Transforming Expressions and Solving Equations, then Exponents, Radicals, and Powers, then Functions, Graphs, and Sequences. On Tomo that's 22 short levels, about 44 minutes in all, played five minutes a day. Start free and play the first level in under a minute.
Is there a Duolingo-style app for Algebra: Equations, Patterns, and Graphs?
Yes. Tomo works like Duolingo: short daily lessons, streaks and quick quizzes. Algebra: Equations, Patterns, and Graphs is one of its free courses, and you can type any other topic to get a course of your own.
Is the Algebra: Equations, Patterns, and Graphs course free?
Yes. Algebra: Equations, Patterns, and Graphs is playable on Tomo's free plan, which doesn't expire. No credit card, no waitlist. Download the app and start your first lesson.
How long does it take to learn Algebra: Equations, Patterns, and Graphs?
22 levels across 3 sections, about 44 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.
Do I need any background to start Algebra: Equations, Patterns, and Graphs?
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.
Tomo is in ChatGPT
Tomo is also a ChatGPT plugin: the same playable courses, built and played inside your chat.
Add Tomo to ChatGPT- What to ask
- “Make me a Tomo course on black holes.” “Turn this chat into a Tomo course.”
- What you get
- Quick questions with instant feedback, hearts and stars, ready to play in about a minute.
- Where it goes
- No sign-up to start. Connect your Tomo account and your streak carries on in the app.
You pick the voice
Algebra: Equations, Patterns, and Graphs 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.
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Start Algebra: Equations, Patterns, and Graphs today.
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