Back in my math class, I remember algebraic expressions like A = ab becoming more and more abstract. As the concept of "algebra" became less concrete, it was hard for me to imagine how to apply it in the real world. But luckily enough, with the help of some online resources, I set out to find out what "algebra" really means. The website ALGEBRA DE GONI GALARZA is an excellent starting point for anyone looking to learn about this mysterious yet infinitely useful field. I found this website particularly helpful because it gives an overview of the history of algebra, offers some simple explanations, and provides a "do-it-yourself" method for solving algebra problems. As I browsed through the webpage, I was amazed that Algebra existed before Galois. Galois made it possible to think of algebraic equations as functions which you could graph on paper. The difference between these two is that instead of saying "A-B = A + C", you must write "ABC = AC + BC". This is more complicated than before, but still pretty simple because all you have to do is replace one expression with another expression. What takes some time to get used to is thinking of letters as variables. Even though it's easier to write "A + B = C" than ABC, it challenges you to not get used to the letter names of the variables because the equations are just phrases that get plugged into each other. As I continued reading, I realized that there are two kinds of algebraic equations: simultaneous and un simultaneous equations. The distinction between these two is pretty simple: in simultaneous equations, more than one variable appears on both sides of the equal sign. "3W + 2A - 2B = 5" is an example of this type of equation. Un-simultaneous equations only have one variable on both sides. "2W - A = 5" is this type of equation. In "Algebra de Goni Galarza," I found a video in which a Spanish teacher uses a chalkboard to solve both types of equations. Since I have a hard time visualizing things when it comes to algebra, seeing this video was instrumental in my understanding of how to work out these equations. It also helps that the solutions are explained step by step in the video; thus, if you don't understand what's happening at any moment, you don't fall behind. Moreover, the webpage provides links to other videos on "Galois Group" and "Modulo Arithmetic." It also links to some practice worksheets on each topic. Although it's not difficult to solve the equations themselves, what's difficult is remembering all the rules of algebra. For example, consider this equation: "8W + W = 7" Here I need to remember what a variable is and how to multiply both sides by -1. In order to be able to work through these problems, I have been referring back to this website whenever I have trouble remembering how each step of math works. In fact, as I worked on my first problem after reading this article, as soon as I saw the word "equation," my mind automatically went back to Algebra de Goni Galarza and all the ways of solving it. 8eeb4e9f32 16
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