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 Algebra Lesson 1

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Dojo
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PostSubject: Algebra Lesson 1   Algebra Lesson 1 EmptyFri 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:
Algebra Lesson 1 A6ea9d83dd42388c06eade642ec85c35297b5d73

Here we see that x=2.
Now let me change it up:
Algebra Lesson 1 2c7be4076d57d4d9d5ffe51842d8078091ea8a46

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.
Algebra Lesson 1 38420ed2be4d4590b24c54b4c542af5202400294

However we glossed over one step.
Why can't we only minus 1 from one side?
Let me sho you a quick question why:
Algebra Lesson 1 24dd6d28665f303001be96c28a471fc38d65eb65

Minus one from one side:
Algebra Lesson 1 B164f1a79ec8e8c7b514566bef25c191072137c0

But wait a minute:
Algebra Lesson 1 Eec3c037a8193eb5489b915d05ed485aca7928e0

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   Algebra Lesson 1 EmptySat 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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Dojo
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PostSubject: Re: Algebra Lesson 1   Algebra Lesson 1 EmptySat 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   Algebra Lesson 1 EmptySat 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   Algebra Lesson 1 EmptySat 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   Algebra Lesson 1 EmptyMon 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   Algebra Lesson 1 EmptyMon 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

Sad
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AIME15
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PostSubject: Re: Algebra Lesson 1   Algebra Lesson 1 EmptyMon Aug 18, 2008 5:45 pm

Coudl you post it?
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