Algebra Unproject

Hi today I'm going to show you how to solve 3 algebra equations. I'll be teaching you a 2 step multiplying equation, 2 step dividing equation, and a distributive equation.

Definitions

Constant -  A quantity that does not change its value.

Coefficient -  A number multiplied by a variable in an algebraic expression.
Variable - A letter or symbol used to represent a number.
Distributive Property - The sum of two addends multiplied by a number is the sum of the product of each addend and the number. 

2 step multiplying equations 

6r + 6 = 18

First you isolate the variable, by isolating it you make a zero pair for your constant, then you do it on the other side because you did it there.

6r + 6 - 6 = 18 - 6

6r = 12 

Then you balance it by dividing both sides by the coefficient then you fully have your variable isolated 

6r = 12

6       6

r = 2

Now we verify it, first you rewrite your equation 

6r + 6 = 18

Now substitute your variable with 3 

6(2) + 6 = 18

Now you multiply your coefficient by 2

12 + 6 = 18 

Now you verify it by adding your coefficient and your constant

18 = 18

And now you got your answer, here a link to learn more about 2 step multiplying equations

2 step dividing equations

m + 2 = 18

3

First you want to isolate the variable by making a zero pair for your constant then you do the same thing on the other side 

m + 2 - 2 = 18 - 2

3

m = 16

3

Then you it by multiplying your variable and you do the same thing on the other side 

(3)m = 16(3)

     3

m = 48

Now you verify it, first you rewrite your equation

m + 2 = 18

3

Now substitute your variable with 48 

48 + 2 = 18

3

The you divide your coefficient  

16 + 2 = 18

Then you verify it by adding the coefficient with the constant

18 = 18

Now your done, here a link to learn more about 2 step dividing equations

Distributive Property

Now I will teach you about distributive equations 

4 (m - 3) = 12 

First you multiply the constant and the variable by the coefficient.
4 (m - 3) = 12
    m - 3
    m - 3
    m - 3
    m - 3

You would get
4m - 12 = 12
Then solve it like a 2 step multiply equation
4m - 12 + 12 = 12 + 12
4m = 24
4m = 24
4         4
m = 6
4m - 12 = 12 
4(6) - 12 = 12
24 - 12 = 12
12 = 12 
Now I will do in a diagram

   

  

4 (m - 3) = 12
Now you do the same steps as you would do on the 2 step multiply equation.
4 (6 - 3) = 12
4 (3) = 12
12 = 12
Now your done here's a link to learn more about Distributive Property

This the end of my post I hope you learned something.