Why you can add equations using the Addition Method to solve a system of equations

For the longest time, I never understood how the Addition Method solved a system of simultaneous equations. What I mean to say is that I could carry out the method's steps, but I didn't understand why adding two equations was legal. It seemed unintuitive to me. For example, take this system of two linear equations: … Continue reading Why you can add equations using the Addition Method to solve a system of equations

Cubic Polynomial Word Problem: Jenny and the Magic Bean

Here is a PDF version of a math problem I recently created. You'll have to know how to factor cubic polynomials, so you may want to brush up on that first, or use this problem as a refresher. Just click on the link below to open it up. If you get stuck, a full solution … Continue reading Cubic Polynomial Word Problem: Jenny and the Magic Bean

Kinky Adventures in LaTeX Land: The Sum and Product of Roots of a Quadratic Equation

?????????🐒🐶🐱🐳🐿🐥????????? \equiv \newline \pi r^2  $latex \equiv \newline \pi r^2 &s=4 $ ?????????🙈😬🙄😮????????? One of the things I don't like about blogging is how long it can take to put together a blog post, even after it has been written, edited and polished. Aside from all the formatting required to make an entry look the way I … Continue reading Kinky Adventures in LaTeX Land: The Sum and Product of Roots of a Quadratic Equation

To cross multiply or not cross multiply

When I was in Grade 7 our homeroom/math teacher told the class in a hushed voice, “Don’t cross multiply.” At the time I didn’t understand what he meant, nor did I likely understand what cross multiplication was. Ever since I have occasionally wondered why he would admonish students from using such a useful tool. Cross-multiplication … Continue reading To cross multiply or not cross multiply

Algebraic Expressions vs Algebraic Equations

Give the algebraic expression that represents the perimeter of the following polygon.  Over the last five years working as a tutor I have seen many students struggle with a problem like the one above. To answer it we must remember that the perimeter of any shape can be found by adding up its side-lengths. With side-lengths that … Continue reading Algebraic Expressions vs Algebraic Equations