Solved Math Problems

Real problems that students search for every day — worked out completely, step by step, with the reasoning explained. Each solution comes with a video walkthrough by Dr. E and a free practice worksheet. New problems added regularly.

📐 Geometry
Geometry 🎬 Video · 📄 Worksheet
Trapezoid ABCD: the bisectors of ∠A and ∠B intersect on side DC. BC = 9, AD = 4 — find AB.
One clever construction turns this into an isosceles triangle — and reveals two hidden facts along the way.
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Geometry 🎬 Video · 📄 Worksheet
Triangle ABC: the bisector of ∠A meets BC at D. AB = 8, AC = 6, BC = 7 — find BD and DC.
One theorem turns the three side lengths straight into the answer — the Angle Bisector Theorem.
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➗ Algebra
Algebra 🎬 Video · 📄 Worksheet
Area 48
Rectangle: area 48, length 2 more than the width — find the dimensions.
Translate the words into a quadratic, factor, and discard the impossible negative.
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Algebra 🎬 Video · 📄 Worksheet
x y
Two numbers have a sum of 12 and a product of 35 — find the numbers.
A sum-and-product puzzle is a quadratic in disguise.
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Algebra 🎬 Video · 📄 Worksheet
x 3x
A father is 3× his son's age; in 12 years he'll be twice as old — find their ages.
The Now / Later table makes age problems almost mechanical.
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How we choose these problems

These aren't random exercises. Each one is a problem that real students are actively searching for help with. Dr. E works the full solution on video, we publish every step with the reasoning — free, no sign-up, no paywall. Want more practice on a topic? Every solution links to a free printable worksheet.