Algebra Lesson 1

We start off with a question:
1+1=
You are probably looking at this like
Well this, is actually the basicist (is that a word???) form of algebra.
Lets look at that question again:
1+1=?
This ? is called a variable.
Our variable could be anything, x,y,z,monkey,?
A variable is a symbol representation of a unknown number.
Lets use x:


Here we see that x=2.
Now let me change it up:


We now come to a vital part of algebra: isolation.
Our goal is to make x stand on its own, on either side.
Looks like if we minus 1 from each side, x is on its own.


However we glossed over one step.
Why can't we only minus 1 from one side?
Let me sho you a quick question why:


Minus one from one side:


But wait a minute:


For isolation, you can do anything to the equation, as long as you do it to both sides, addition, subtraction, multiplication, division, squaring...

The Reason Why:

Take this simple equation $5 = 5$. What happens if we add two to both sides?

$5 + 2 = 5 + 2$

$7 = 7$

The equation has changed! But still, isn't it still true?

Try multiplying, dividing, raising to powers, anything, so long as you do it to both sides. The equation will always remain true.

This is a very important property. We utilize it to solve equations. For example:

$5 + x = 7$

Let's subtract $5$.

$x = 2$

There! We know what $x$ is.

Sorry, Latex doesnt work here... yet.
I hope latex works soon (see forumotion.com) and if it does, it will probably be [tex][/tex]

Yeah, you have to take images from AoPS, which in my opinion is very tedious

yeah i kno
Go to my blog forum photo bucket

If this is phpBB 2.0 then you put

Code:

      #--------[open]-----------------------------------------------------
          /templates/subSilver/overall_footer.tpl
      #--------[find]-----------------------------------------------------
          </body>
      #--------[before, add]----------------------------------------------
          <script type="text/javascript" src="http://tex.yourequations.com/"></script>

somewhere...

I'll go find out, but hopefully the admins do so soon as well

then you use the [tex]stuff[/tex] tags

hmm, I just found out the code that was used for mathlinks, it's pretty long though

disregard my previous post, I don't think it works

Coudl you post it?