Education product tool

Math Dressing Studio

A composable and verifiable generator for leveled middle-school math problems.

Choose Body

One-variable linear relationship

Fixed Body

ONE_VARIABLE_LINEAR_RELATIONSHIP

ax + b = c

The algebra stays intact while one non-core Layer changes.

Dress the Problem

Load one reviewed Layer

MDS-S2-GEOM-001GEOMETRY_REPRESENTATIONx = 8

A display strip is made from four equal blue panels, each x cm long, followed by one white panel 6 cm long. The whole strip is 38 cm long. Find x.

4x + 6 = 38

Dressed representation

xxxx6

Total 38 cm · Diagram not to scale

Current state

Geometry curated sample loaded. Ready to verify.

Verify & Undress

Inspect every criterion

No aggregate score

Body integrityPASS

Equation, answer, skill, and undressed form

Layer qualityPASS

Mapping, choices, shortcut risk, and QA verdict

Math correctness

PASS

4(8) + 6 = 38.

Unique answer

PASS

Coefficient 4 is nonzero, so the real solution is unique.

Curriculum alignment

PASS

Requires solving a one-variable linear equation of the form ax+b=c.

Target skill preserved

PASS

Dressed and undressed forms preserve SOLVE_ONE_VARIABLE_LINEAR_EQUATION.

Layer compatibility

PASS

Layer mapping reproduces the canonical equation and preserves its answer.

Layer removal test

PASS

Removing GEOMETRY_REPRESENTATION leaves a complete solvable item.

Distractor legitimacy

NOT_APPLICABLE

This representation has no answer-choice accessory.

Shortcut risk

LOW

No layer feature exposes the answer or rewards a non-Body shortcut.

Independent QA verdict

PASS

Local deterministic validation approves the item.

Repair reason

null

No repair required.