# Category: Algebra

## Introduction to Problem Solving

I have been busy for the past few days. I just had the time to update this page. This time, the introduction about problem solving. We will outline simple things that you need to know...

## Factoring like a Pro

Most people think that factoring is a boring topic. They don’t know the real essence and wide applications of this topic. Factoring is very useful in solving equations, simplifying common core mathematics, and more....

## Perpendicular Lines Shortcut

You probably know how to solve this since solving perpendicular lines is very easy. Problem solving about this topic and its application was published few months ago in this page. But now let’s talk...

## Raymond’s Simple AM-GM inequality Trick

Featured problem for today is from Raymond John Diaz, another Math quizzer and school heartthrob. He is a graduate of Pedro Guevara Memorial National High School. Currently, he is taking up BS Applied Mathematics...

## 100 Solved Problems in Algebra,Trigonometry,and Statistics

To answer the queries of the parents and students asking where they can get a reviewer for Math Challenges, I created a PDF full of detailed solutions to help them and their kids to...

## Arithmetic Mean-Geometric Mean Inequality

This post is available in PDF. This topic is solely in problem solving in am-gm inequality.  The proof for this inequality can be found here. Thanks to Engr. Roy Roque Rivera for this very useful...

## Problem Solving with AM-GM Inequality

This documentation was submitted by Engr. Roy Roque Rivera in the hope to provide a pillar to the next generation of problem solver. The more reviewers is the better we understand the concept especially...

## Joselito’s Clay Molding Technique

If AoPS has SFFT, we also have Joselito’s Clay Molding Technique ( JCMT ). Before anyone will name this technique, I decided to publish this and name it after the person who popularized the...