Jamdro and Sok Langs Unproject

" Unproject" Project
By: Sok Lang Pov and Jandro Austria


2 step Multiply

2x+1=9 

The first thing we should do in a 2 Step Multiply is to Isolate the Variable and this is what it should look like.

2x+1-1=9-1

Now that we have done this, 2x = 9-1 which is 2x = 8
9
Now that we have we have 2x = 8 we must do the opposite operation to get the value of x. Since 2x is multiplying, we must divide 2x by 2 and do the same to 8. The result we end up with would be x = 4. If you were to write it down it would look like this.

2x = 8

2x / 2 = 8 / 2

x = 4 
 

Now we must Verify our theory

2x + 1 = 9

2(4) + 1 = 9

8 + 1 = 9

9 = 9 

We also have to model this equation too and this picture will show you how:

 And that is how we solve 2 Step Multiply equations.
 

2 Step Divide

x/2 + 4 = 9

What we must do is isolate the variable again. The steps are very similar to 2 Step Multiply.  Since there is a positive 4, we must do the opposite operation and subtract 4 from 4 and subtract 4 from 9.         

x/2 +4-4 = 9 - 4
 
x/2 = 5

And now since theres division in this equation we must do the opposite operation which is Multiplication

This is what it would look like: 

(x/2) x 2 = 5 x 2

x = 10

Now we must verify our answer again ( Note: We must Verify all the time in all algebraic equations) 

x/2 + 4 = 9

(10) / 2 + 4 = 9

5 + 4 = 9

9 = 9  

That my friends is how we solve 2 Step Divide equations


Distributive

2(x+4) = 10
For Distributive, we must multiply whatever is inside the brackets by whats outside of the brackets. In this case it would be 2 x (x) and 2 x 4. After you have done the steps, it should look like this:

2 x (x) = 2x

2 x 4 = 8

2x + 8 = 10

Now that we have a 2 Step Multiply Equation, all we have to do is the steps to solve a 2 Step Multiply Equation. The steps should look like this: 

2x + 8 - 8 = 10 - 8

2x = 2

2x / 2 = 2/2

x = 1

Now we must Verify our answer.

2( x + 4) = 10

2 ( 1 + 4) = 10

2 (5) = 10

10 = 10

And that is how we do Distributive Equations!!!!!    
  
Important Vocabulary Words

Co-efficient- Is any certain number that you can multiply a variable with, the co-efficient can be negative or positive.(example) 2x + 1 = 9 

Constant - Are any numbers that are a part of the equation. They always stay the same.
                  (example) 2x +1 = 9

Variable- Is any letter that can represent any unknown number.
                ( example) 2x + 1 = 9 

If you are still having trouble with 2 step multiply and division, I suggest you watch this:)

http://www.youtube.com/watch?v=HyUiYeLee3g

If you are still having trouble with Distributive Property I suggest you watch this video:)

http://www.youtube.com/watch?v=zv4qbeLok-M

( I could not post the video because firefox and windows explorer would not let me post but only let me link the videos.....sorry D: )

Well we hope you enjoyed our presentation and we hope we have helped you understand Algebra- From your wonderful classmates, Sok Lang and Jandro :)