First here are the 3 definitions you should know about algebra.

Coefficient- The number that's multiplied by a variable in an equation.

**eg.) 2x + 1= 9**

Constant- The number that doesn't change it's value

**eg.) 2x + 1=9**

Variable- A letter or symbol representing a number

**eg.) 2x + 1=9**

**2 step multiplication**

4x + 3=23

First thing you do is isolate the variable

4x + 3 - 3=23 - 3

You cancel the constant by using zero pairs

__4x__=

__20__

4 4

Next you divide both side by it's coefficient.

x= 5

So, now you know what x is. Now 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 do that in the end when you verify.

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

**2 step division**

__x__+ 5=8

2

First thing you got to do is 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

Then, you substitute the x with the 6.

__6__+ 5= 8

2

Divide the coefficient.

3+5=8

And then you verify it by adding it.

8=8

And that's how you verify.

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

**Distributive property**

**2 (x -1)**

**=**6

The first thing you do is multiply the constant with the variable by it's coefficient.

2 (x-1) =6

x-1

x-1

And then you will have

2x - 2 =6

The next you will do is solve it just like a 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

That's how you would model it.

Here's a link to learn more about Distributive Property.

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