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Saturday, March 16, 2013

Vina's Algebra Unproject

Today I'm going to show you how to solve 2 step multiplying and dividing equations, and a distributive equation.First here are 3 definitions you should know:

Coefficient- The number that's multiplied by a variable in an equation eg.)   2x + 1= 9
Constant- The number that doesn't change its valueeg.)  2x + 1= 9
Variable- A letter/symbol used for representing a number

eg.)  2x + 1= 9


2 Step Multiplication:


4x + 3=23

First you isolate the variable









4x + 3 - 3=23 - 3

Then you cancel the constant by using zero pairs








4x = 20
4       4


Next you divide both sides by it's coefficient.








x= 5

Now that you know what x is, you verify.







4x + 3=23
Always write the equation.

4(5) + 3=23
Replace the x with 5.

20 + 3=23
Next I did 4(5) which is 20.

23=23

You always write that in the end when you verify.

Here's a link you could go to about 2 step multiply equations.

2 Step Division:


 + 5=8 
2

First you isolate the variable by using a zero pair

x + 5 -5=8 -5
 2

Next you multiply the variable and do the same thing on the other side.
(2)x  = 3(2)
2

x=6
Now you verify it.
Always remember to write the equation down.

x + 5 = 8
2


Now substitute the x with the 6.

6 + 5= 8
2

Divide the coefficient.

3+5=8
Then you verify it by adding it.

8=8
That's how you vertify

Here's a link to know more about 2 step division.

Distributive property:

2 (x -1) = 6
First  you multiply the constant with the variable by it's coefficient. 

2 (x-1) =6 
x-1
Then you will have:
2x - 2 =6
Next you solve it just like the 2 step multiply 
2x -2 =6
2x -2 +2 =6+2 
2x = 8
2       2
x=4 

2x -2 =6 
2(4) -2=6 
8 -2 =6
6=6 














































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