MathBench: Equation Solver

MathBench turns math into hands-on reasoning. Do the same thing to both sides of a balance until only x remains. Drag parameters until a parabola passes through the target. Bisect an angle with only a compass and straightedge. Every move is checked for equivalence in real time.

THREE SUBJECTS, 60 LEVELS
Algebra Balance: linear equations, systems, quadratics and inequalities. Multiply by a negative and the sign must flip; divide by an expression in x and you may lose a root. Brainer levels are built around these traps.
Graphs: linear, quadratic, inverse and absolute-value functions, shifts and stretches, and solving equations and inequalities by graph.
Constructions: perpendicular bisectors, angle bisectors, perpendiculars, parallels, regular hexagons, circumcenter and incenter, tangents to a circle.
Each subject has Intro, Core and Brainer levels. 30 levels are playable right away; the other 30 unlock with Pro.

PRINCIPLE CARDS
After each solve, a Principle Card explains why it works using the numbers from your own solve, such as x = (3 ± √17)/4 or 3² + 4² = 25.

FOUR TOOLS
• Exact fractions: simplify, common denominators, mixed numbers, repeating decimals, prime factorization
• Equations: linear and quadratic with exact radicals, inequality intervals, 2×2 and 3×3 linear systems
• Graphing: up to three curves with zeros, intersections and vertices
• Triangle solver: find the remaining sides, angles and area, including the two-solution case
Tool results are unlimited; hints are never consumed and undo is unlimited.

PRO — ONE-TIME PURCHASE
All 60 levels, full Principle Card derivations, step-by-step tool working, and a Free Bench you can edit and save (balance, graph and construction benches).

Pro includes every worked answer and all Pro features. The first three fixed sample answers in each subject are free to view; all remaining answers unlock with Pro. One-time purchase. No subscription.

PRIVACY
All calculations run on your device and work offline. No account and no analytics SDK. Progress syncs through your own private iCloud.

NOTE: MathBench is for understanding principles and practicing reasoning. Problems are original, not tied to any textbook, and no exam-score gains are promised.

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