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 Algebra Lesson 1

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Dojo
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PostSubject: Algebra Lesson 1   Fri Aug 15, 2008 6:35 pm

We start off with a question:
1+1=
You are probably looking at this like Shocked
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...

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isabella2296
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PostSubject: Re: Algebra Lesson 1   Sat Aug 16, 2008 4:52 am

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.
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PostSubject: Re: Algebra Lesson 1   Sat Aug 16, 2008 12:03 pm

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

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AIME15
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PostSubject: Re: Algebra Lesson 1   Sat Aug 16, 2008 12:30 pm

Yeah, you have to take images from AoPS, which in my opinion is very tedious Razz
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PostSubject: Re: Algebra Lesson 1   Sat Aug 16, 2008 12:31 pm

lol!
yeah i kno
Go to my blog forum photo bucket

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PostSubject: Re: Algebra Lesson 1   Mon Aug 18, 2008 10:30 am

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
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PostSubject: Re: Algebra Lesson 1   Mon Aug 18, 2008 11:03 am

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

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PostSubject: Re: Algebra Lesson 1   Mon Aug 18, 2008 5:45 pm

Coudl you post it?
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