Videos

Video thumbnail for Art of Problem Solving: Introduction to Multi-Variable Equations
11:00
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Art of Problem Solving: Introduction to Multi-Variable Equations

Art of Problem Solving's Richard Rusczyk solves some multi-variable equations for one variable in terms of the other variables in the equations. This video is part of our AoPS Algebra curriculum. Take your math skills to the next level with our Algebra materials: 📚 AoPS Introduction to Algebra Textbook: https://aops.com/store/book/intro ...
YouTube
· Feb 24, 2012
Video thumbnail for Art of Problem Solving: Percent Introduction
08:15
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Art of Problem Solving: Percent Introduction

Art of Problem Solving's Richard Rusczyk introduces percents. This video is part of our AoPS Prealgebra and Algebra curriculums. Take your math skills to the next level with our advanced materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025_youtube_to_os 🖥 ...
YouTube
· Dec 20, 2011
Video thumbnail for Art of Problem Solving: Factorial Introduction
12:27
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Art of Problem Solving: Factorial Introduction

Art of Problem Solving's Richard Rusczyk introduces 2-circle Venn diagrams, and using subtraction as a counting technique. This video is part of our AoPS curriculum. Take your math skills to the next level with our advanced materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm ...
YouTube
· Feb 16, 2012
Video thumbnail for Art of Problem Solving: Introducing Ratios
05:56
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Art of Problem Solving: Introducing Ratios

Art of Problem Solving's Richard Rusczyk introduces ratios. This video is part of our AoPS Prealgebra and Algebra curriculums. Take your math skills to the next level with our advanced materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025_youtube_to_os 🖥️ ...
YouTube
· Dec 26, 2011
Video thumbnail for Art of Problem Solving: Imaginary Numbers Introduction
07:06
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Art of Problem Solving: Imaginary Numbers Introduction

Art of Problem Solving's Richard Rusczyk introduces imaginary numbers. This video is part of our AoPS Algebra curriculum. Take your math skills to the next level with our Algebra materials: 📚 AoPS Introduction to Algebra Textbook: https://aops.com/store/book/intro-algebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025_youtube_to ...
YouTube
· Jun 26, 2012
Video thumbnail for Art of Problem Solving: Simplifying Linear Expressions
04:50
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Art of Problem Solving: Simplifying Linear Expressions

Art of Problem Solving's Richard Rusczyk explains how to simplify one-variable expressions. This video is part of our AoPS Prealgebra curriculum. Take your math skills to the next level with our Prealgebra materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025 ...
YouTube
· Dec 24, 2011
Video thumbnail for Art of Problem Solving: Square Root Introduction Part 1
05:17
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Art of Problem Solving: Square Root Introduction Part 1

Art of Problem Solving's Richard Rusczyk introduces square roots. Love math? Learn more: http://bit.ly/ArtofProblemSolving
YouTube
· Dec 20, 2011
Video thumbnail for Art of Problem Solving: Introducing Radical Notation
05:21
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Art of Problem Solving: Introducing Radical Notation

Art of Problem Solving's Richard Rusczyk describes how to use to radical notation to express fractional exponents.
YouTube
· Jan 17, 2012
Video thumbnail for Art of Problem Solving: Systems of Linear Equations with Three Variables
08:23
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Art of Problem Solving: Systems of Linear Equations with Three Variables

Art of Problem Solving's Richard Rusczyk solves a system of three equations with three variables. This video is part of our AoPS Algebra curriculum. Take your math skills to the next level with our Algebra materials: 📚 AoPS Introduction to Algebra Textbook: https://aops.com/store/book/intro-algebra?utm_source=youtube&utm_medium=social&utm ...
YouTube
· Feb 16, 2012
Video thumbnail for Art of Problem Solving: Multi-Variable Systems of Non-Linear Equations
14:22
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Art of Problem Solving: Multi-Variable Systems of Non-Linear Equations

Art of Problem Solving's Richard Rusczyk solves some multi-variable systems of non-linear equations.
YouTube
· Mar 1, 2012
Video thumbnail for Art of Problem Solving: Percent Increase and Decrease Part 1
08:25
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Art of Problem Solving: Percent Increase and Decrease Part 1

Art of Problem Solving's Richard Rusczyk introduces percentage increases and decreases. This video is part of our AoPS Prealgebra and Algebra curriculums. Take your math skills to the next level with our advanced materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1 ...
YouTube
· Dec 20, 2011
Video thumbnail for Art of Problem Solving: Counting is as Easy as 1, 2, 3
06:27
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Art of Problem Solving: Counting is as Easy as 1, 2, 3

Art of Problem Solving's Richard Rusczyk explores a convenient method for counting lists of consecutive integers. This video is part of our AoPS curriculum. Take your math skills to the next level with our advanced materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign ...
YouTube
· Dec 21, 2011
Video thumbnail for Art of Problem Solving: 2020 AMC 10 A #21 / AMC 12 A #19
07:53
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Art of Problem Solving: 2020 AMC 10 A #21 / AMC 12 A #19

Art of Problem Solving's Richard Rusczyk solves the 2020 AMC 10 A #21 / AMC 12 A #19.
YouTube
· Feb 1, 2020
Video thumbnail for Art of Problem Solving Prealgebra: "Multiple" Facts
05:31
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Art of Problem Solving Prealgebra: "Multiple" Facts

Art of Problem Solving's Richard Rusczyk investigates what happens when you add, subtract, multiply, or divide two multiples of 7. Visit www.artofproblemsolving.com to learn more.
YouTube
· Jan 29, 2012
Video thumbnail for Art of Problem Solving: Vieta for Quadratics Part 1
09:16
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Art of Problem Solving: Vieta for Quadratics Part 1

Art of Problem Solving's Richard Rusczyk (maybe?) describes a slick way to quickly find the sum and product of the roots of a quadratic of the form x^2 + bx + c. This video is part of our AoPS Algebra curriculum. Take your math skills to the next level with our Algebra materials: 📚 AoPS Introduction to Algebra Textbook: https://aops.com ...
YouTube
· May 5, 2012
Video thumbnail for Art of Problem Solving: Introduction to Circles
06:40
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Art of Problem Solving: Introduction to Circles

Art of Problem Solving's Richard Rusczyk describes how to define a circle, and how to find the circumference of a circle. This video is part of our AoPS Prealgebra curriculum. Take your math skills to the next level with our Prealgebra materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium ...
YouTube
· Jan 11, 2012
Video thumbnail for Art of Problem Solving: Completing the Square Part 2
09:51
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Art of Problem Solving: Completing the Square Part 2

Art of Problem Solving's Richard Rusczyk explains how to solve quadratics with completing the square when the coefficient of the quadratic term is 1.
YouTube
· May 30, 2012
Video thumbnail for Art of Problem Solving: Commutative Property of Addition
02:04
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Art of Problem Solving: Commutative Property of Addition

Art of Problem Solving's Richard Rusczyk describes the commutative property of addition. Visit www.aops.com to learn more.
YouTube
· Dec 22, 2011
Video thumbnail for Art of Problem Solving: Ratios - Parts and Wholes
08:30
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Art of Problem Solving: Ratios - Parts and Wholes

Art of Problem Solving's Richard Rusczyk discusses ratios involving parts of a whole.
YouTube
· Dec 26, 2011
Video thumbnail for Art of Problem Solving: 2020 AMC 12 A #21
08:42
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Art of Problem Solving: 2020 AMC 12 A #21

Art of Problem Solving's Richard Rusczyk solves the 2020 AMC 12 A #21.
YouTube
· Feb 1, 2020
Video thumbnail for Art of Problem Solving: Subtraction Problems
05:25
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Art of Problem Solving: Subtraction Problems

Art of Problem Solving's Richard Rusczyk makes computation of long expressions involving subtraction easier. Visit www.artofproblemsolving.com to learn more.
YouTube
· Dec 22, 2011
Video thumbnail for Art of Problem Solving: Reciprocals and Negative Exponents
03:57
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Art of Problem Solving: Reciprocals and Negative Exponents

Art of Problem Solving's Richard Rusczyk explores reciprocals and negative exponents. Visit www.artofproblemsolving.com to learn more.
YouTube
· Dec 22, 2011
Video thumbnail for Art of Problem Solving: Subtraction with Negatives Part 1
03:24
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Art of Problem Solving: Subtraction with Negatives Part 1

Art of Problem Solving's Richard Rusczyk introduces the definition of subtraction and subtraction with negative numbers. Visit www.artofproblemsolving.com to learn more.
YouTube
· Dec 22, 2011
Video thumbnail for Art of Problem Solving: Testing if a Number is Prime
09:40
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Art of Problem Solving: Testing if a Number is Prime

Art of Problem Solving's Richard Rusczyk learns how to determine whether or not a number is prime. Visit www.artofproblemsolving.com to learn more.
YouTube
· Dec 23, 2011
Video thumbnail for Art of Problem Solving: Venn Diagrams with Three Categories
12:09
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Art of Problem Solving: Venn Diagrams with Three Categories

Art of Problem Solving's Richard Rusczyk introduces 3-circle Venn diagrams as a counting technique. This video is part of our AoPS Counting & Probability curriculum. Take your math skills to the next level with our Counting & Probability materials: 📚 AoPS Introduction to Counting & Probability Textbook: https://aops.com/store/book/intro ...
YouTube
· Dec 21, 2011
Video thumbnail for Art of Problem Solving: 2019 AMC 10 A #25 / AMC 12 A #24
14:59
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Art of Problem Solving: 2019 AMC 10 A #25 / AMC 12 A #24

Art of Problem Solving's Richard Rusczyk solves the 2019 AMC 10 A #25 / AMC 12 A #24.
YouTube
· Feb 8, 2019
Video thumbnail for Art of Problem Solving: 2020 AMC 12 A #25
17:06
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Art of Problem Solving: 2020 AMC 12 A #25

Art of Problem Solving's Richard Rusczyk solves the 2020 AMC 12 A #25.
YouTube
· Feb 1, 2020
Video thumbnail for Art of Problem Solving: Venn Diagrams with Two Categories
09:58
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Art of Problem Solving: Venn Diagrams with Two Categories

Art of Problem Solving's Richard Rusczyk introduces 2-circle Venn diagrams, and using subtraction as a counting technique. This video is part of our AoPS curriculum. Take your math skills to the next level with our advanced materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm ...
YouTube
· Jan 10, 2012
Video thumbnail for Art of Problem Solving: Introducing Slope
09:55
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Art of Problem Solving: Introducing Slope

Art of Problem Solving's Richard Rusczyk introduces the slope of a line on the Cartesian plane. This video is part of our AoPS Algebra curriculum. Take your math skills to the next level with our Algebra materials: 📚 AoPS Introduction to Algebra Textbook: https://aops.com/store/book/intro-algebra?utm_source=youtube&utm_medium=social&utm ...
YouTube
· Apr 11, 2012
Video thumbnail for Art of Problem Solving: Linear Equations with Fractions Part 2
05:43
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Art of Problem Solving: Linear Equations with Fractions Part 2

Art of Problem Solving's Richard Rusczyk tackles a couple more equations with fractions. This video is part of our AoPS Prealgebra and Algebra curriculums. Take your math skills to the next level with our advanced materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign ...
YouTube
· Jan 29, 2012
Video thumbnail for Art of Problem Solving: Permutations and Factorials
07:34
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Art of Problem Solving: Permutations and Factorials

Art of Problem Solving's Richard Rusczyk explains how to write permutations in terms of factorials.
YouTube
· Jan 1, 2009
Video thumbnail for Art of Problem Solving: Factoring Quadratics Part 1
10:30
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Art of Problem Solving: Factoring Quadratics Part 1

Art of Problem Solving's Richard Rusczyk explains how to factor quadratics of the form x^2 + bx + c.
YouTube
· May 6, 2012
Video thumbnail for Art of Problem Solving: Distributive Property
04:31
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Art of Problem Solving: Distributive Property

Art of Problem Solving's Richard Rusczyk describes the distributive property and tackles a problem with it. Visit www.artofproblemsolving.com to learn more.
YouTube
· Dec 22, 2011
Video thumbnail for Art of Problem Solving: Completing the Square Part 3
10:33
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Art of Problem Solving: Completing the Square Part 3

Art of Problem Solving's Richard Rusczyk explains how to solve quadratics with completing the square when the coefficient of the quadratic term is not 1.
YouTube
· May 24, 2012
Video thumbnail for Art of Problem Solving: Adding Complex Numbers
05:03
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Art of Problem Solving: Adding Complex Numbers

Art of Problem Solving's Richard Rusczyk explains how to add complex numbers.
YouTube
· Jul 17, 2012
Video thumbnail for Art of Problem Solving: Solving Linear Inequalities
07:45
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Art of Problem Solving: Solving Linear Inequalities

Art of Problem Solving's Richard Rusczyk explains how to solve linear inequalities.
YouTube
· Dec 24, 2011
Video thumbnail for Art of Problem Solving: Sum the Numbers from 1 to 100
02:49
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Art of Problem Solving: Sum the Numbers from 1 to 100

Art of Problem Solving's Richard Rusczyk adds the numbers from 1 to 100... the fast way. This video is part of our AoPS Prealgebra curriculum. Take your math skills to the next level with our Prealgebra materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025 ...
YouTube
· Dec 22, 2011
Video thumbnail for Art of Problem Solving: Multiplying Complex Numbers
08:49
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Art of Problem Solving: Multiplying Complex Numbers

Art of Problem Solving's Richard Rusczyk explains how to multiply complex numbers.
YouTube
· Jul 26, 2012
Video thumbnail for Art of Problem Solving: Complementary Probability Part 1
06:57
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Art of Problem Solving: Complementary Probability Part 1

Art of Problem Solving's Richard Rusczyk computes probabilities he wants by first finding probabilities he doesn't want.
YouTube
· Jan 7, 2012
Video thumbnail for Art of Problem Solving: Counting with Combinations Part 1
07:40
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Art of Problem Solving: Counting with Combinations Part 1

Art of Problem Solving's Richard Rusczyk teaches about counting with combinations. You can thank him by ordering pizza for AoPS! This video is part of our AoPS Counting & Probability curriculum. Take your math skills to the next level with our Counting & Probability materials: 📚 AoPS Introduction to Counting & Probability Textbook: https ...
YouTube
· Dec 28, 2011
Video thumbnail for Art of Problem Solving: Finding the Greatest Common Divisor
09:02
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Art of Problem Solving: Finding the Greatest Common Divisor

Art of Problem Solving's Richard Rusczyk explains how to use prime factorizations to find the greatest common divisor of two numbers. Visit www.artofproblemsolving.com to learn more.
YouTube
· Dec 23, 2011
Video thumbnail for Art of Problem Solving: Ratio Problem Solving
07:59
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Art of Problem Solving: Ratio Problem Solving

Art of Problem Solving's Richard Rusczyk solves some challenging ratio problems.
YouTube
· Mar 8, 2012
Video thumbnail for Art of Problem Solving: Proving the Binomial Theorem with Algebra
20:23
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Art of Problem Solving: Proving the Binomial Theorem with Algebra

Art of Problem Solving's Richard Rusczyk proves the Binomial Theorem with a *lot* of algebra.
YouTube
· Jan 14, 2012
Video thumbnail for Art of Problem Solving: Area of an Acute Triangle
08:22
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Art of Problem Solving: Area of an Acute Triangle

Art of Problem Solving's Richard Rusczyk discovers how to find the area of an acute triangle. This video is part of our AoPS Prealgebra curriculum. Take your math skills to the next level with our Prealgebra materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025 ...
YouTube
· Dec 29, 2011
Video thumbnail for Art of Problem Solving: Multiplying Binomials
11:42
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Art of Problem Solving: Multiplying Binomials

Art of Problem Solving's Richard Rusczyk explains how to multiply binomials. This video is part of our AoPS Algebra curriculum. Take your math skills to the next level with our Algebra materials: 📚 AoPS Introduction to Algebra Textbook: https://aops.com/store/book/intro-algebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025 ...
YouTube
· May 7, 2012
Video thumbnail for Art of Problem Solving: Divisibility Rules for 3 and 9
07:27
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Art of Problem Solving: Divisibility Rules for 3 and 9

Art of Problem Solving's Richard Rusczyk discovers divisibility rules for 3 and 9. Visit www.artofproblemsolving.com to learn more.
YouTube
· Dec 23, 2011
Video thumbnail for Art of Problem Solving: Angles in a Parallelogram
05:50
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Art of Problem Solving: Angles in a Parallelogram

Art of Problem Solving's Richard Rusczyk explores the angles of a parallelogram. This video is part of our AoPS Prealgebra curriculum. Take your math skills to the next level with our Prealgebra materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025_youtube_to ...
YouTube
· Feb 18, 2012
Video thumbnail for Art of Problem Solving Prealgebra Math Curriculum FLIP-THROUGH
10:25
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Art of Problem Solving Prealgebra Math Curriculum FLIP-THROUGH

We have decided to switch to the Art of Problem Solving (AoPS) Prealgebra for 7th grade. This video is a flip-through of the AoPS Prealgebra math curriculum. *As an Amazon Associate, I may receive compensation from qualified purchases.* Art of Problem Solving Prealgebra https://amzn.to/3BNVfSG Art of Problem Solving Prealgebra Solutions Manual ...
YouTube
· Jun 15, 2023
Video thumbnail for Art of Problem Solving: Bar Charts and Pie Charts
08:09
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Art of Problem Solving: Bar Charts and Pie Charts

Art of Problem Solving's Richard Rusczyk tackles problems involving bar charts and pie charts. This video is part of our AoPS Prealgebra curriculum. Take your math skills to the next level with our Prealgebra materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1 ...
YouTube
· Apr 5, 2012
Video thumbnail for Art of Problem Solving: Arithmetic Series Introduction
06:11
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Art of Problem Solving: Arithmetic Series Introduction

Art of Problem Solving's Richard Rusczyk examines sums of arithmetic series. This video is part of our AoPS Algebra curriculum. Take your math skills to the next level with our Algebra materials: 📚 AoPS Introduction to Algebra Textbook: https://aops.com/store/book/intro-algebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025 ...
YouTube
· Jan 9, 2025