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EquationQuest — an algebra-balance workshop: kids keeping a balance scale level with a mystery box and plain weights, plain colored algebra tiles, no numbers

EquationQuest

Algebra makes sense when you can see it stay balanced. Keep the scale even, move everything away from x, and read off the answer — then meet the guides who each stand for one move.

Balance Scale Algebra Tiles
Level 1

Start here

Balance Scale Solve for x by doing the same move to both sides — the scale stays balanced until x is alone. Algebra Tiles Cancel zero-pairs and combine like terms with color-coded tiles, then name the simplified expression. Spot the Slip One step in a worked solution breaks a rule. Find it, then say why — the fastest way to stop making the mistake. Equation Duel A head-to-head kit round for 2–4 players — one device or an online room by code. Highest first-try score wins.
Brain Break Take a quiet moment between rounds — a fun teaser or a short breather. Brain breaks help you remember what you learn.

All activities

All activities

Do algebra by hand

Area Model See distributing as area — split a rectangle so the width reaches every term. Sign Flip Divide an inequality and predict the solution — divide by a negative and the sign flips.

Play & explore

Five Ways to Weigh x One problem from the Rhind papyrus, solved five ways: in the style of an Egyptian scribe, of Indian and Arabic algebra, then with tiles and the scale. Equation Odyssey A map through all 16 kits, from writing expressions up to systems. Clear each stop, then move on. Mixed Practice Shuffles questions from the kits you’ve played, brought back when they’re ready to review.

Practice the concepts

16 kits from writing expressions up to systems and advanced synthesis — a short round with a hint whenever you get stuck.

All 16 kits
Kit 1: Writing & Evaluating Expressions Expressions · grades 4-5 · 25 questions Kit 2: Order of Operations (PEMDAS) Expressions · grades 4-5 · 25 questions Kit 3: One-Step Equations (Addition & Subtraction) Equations · grades 4-5 · 25 questions Kit 4: One-Step Equations (Multiplication & Division) Equations · grades 6-7 · 25 questions Kit 5: Two-Step Equations Equations · grades 6-7 · 25 questions Kit 6: Inequalities on a Number Line Inequalities · grades 6-7 · 25 questions Kit 7: Distributive Property & Combining Like Terms Distributing & like terms · grades 6-7 · 25 questions Kit 8: Multi-Step Equations Equations · grades 6-7 · 25 questions Kit 9: Systems of Equations Systems · grades 7-8 · 25 questions Kit 10: Equation Word Problems Word problems · grades 7-8 · 25 questions Kit 11: Critical Analysis & Evaluation Equations · grades 6-7 · 25 questions Kit 12: Integration & Review Equations · grades 7-8 · 25 questions Kit 13: Cross-Topic Connections Equations · grades 5-6 · 25 questions Kit 14: Real-World Applications Word problems · grades 6-7 · 25 questions Kit 15: Misconceptions & Reasoning Equations · grades 6-7 · 25 questions Kit 16: Advanced Synthesis Equations · grades 7-8 · 25 questions

For grown-ups — progress report →A private, on-device snapshot mapped to the skill areas practiced. Export a CSV or print — nothing that names you leaves this device.

Cast, stories & more

More ways to play

Quiz Arena Equation Run Trust the AI
Where this idea comes from

Al-Khwārizmī and al-jabr

Muḥammad ibn Mūsā al-Khwārizmī worked in Baghdad in the early 800s. Around 820 he wrote a book on solving equations whose Arabic title begins al-Kitāb al-mukhtaṣar fī ḥisāb al-jabr wa-l-muqābala.

One thing to hold: A page of his book: no x and no number symbols in the problems, only words, with squares drawn as real squares. The word al-jabr, “restoring”, means moving a subtracted amount to the other side so both sides balance again.

Why it matters: Al-jabr gave us the word “algebra”, and al-Khwārizmī’s own name, written in Latin, gave us “algorithm”. His book solved problems in words and pictures of squares, without the letter x.

What we don’t know: Little is known about his life beyond his books; even the dates of his birth and death are uncertain.

Sources: Victor J. Katz, A History of Mathematics: An Introduction, 3rd ed. (2009) · J. J. O’Connor and E. F. Robertson, “Al-Khwarizmi”, MacTutor History of Mathematics archive (University of St Andrews)

Same idea, another world

Something you practice here shows up somewhere else too — that's real learning that travels.

Solving for x keeps both sides equal — the same rule as a pan balance that only sits level when the two pans match. The shared idea: balance as equality — keeping an equation balanced (do the same to both sides) is exactly the pan balance that stays level only when both sides match Try MeasureQuest →
EquationQuest mascot

Meet the cast — the characters who teach this

Each one stands for an idea you’ll practice. Tap a character to read their illustrated story and hear their audio drama.

Ensemble stories — the cast together

Explore all the stories →

What next? Pick a door

Chosen from what this app is about. What you open is remembered on this device only.

📚 Books for EquationQuest

Read the story, print a workbook, or color the cast — free PDFs to read offline or print at home.

Browse all books →

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