### Algebra

I wrote a little algebra song, its basically just about the steps you use to solve an equation. Here are the lyrics if you don't understand what I'm singing hopefully this makes much more sense.

__Algebra Song__

*This is a song on how to multiply, two step equation and even on how to divide*

I'm also gonna show you distributive property, and vocabulary there's such a wide variety

Like coefficient, variable and constant too

I'll even show you one day that your dreams will come true

Haha, I'm just kidding about the whole dreams partI'm also gonna show you distributive property, and vocabulary there's such a wide variety

Like coefficient, variable and constant too

I'll even show you one day that your dreams will come true

Haha, I'm just kidding about the whole dreams part

*To multiply you isolate the variable, it's sorta like this thing we call a symbol*

It's a letter that represents an unknown number

Don't worry now this wont get any tougher

Then you cancel the constant, a number that doesn't change

You balance both sides, this order wont rearrangeIt's a letter that represents an unknown number

Don't worry now this wont get any tougher

Then you cancel the constant, a number that doesn't change

You balance both sides, this order wont rearrange

*Simplify, then cancel the coefficient, have I told you what that is? I don't think I have yet*

*It's the number that's being multiplied, then you balance both sides and you simplify*

*There very last step is to verify*

If I can say one thing, this is easy as pieIf I can say one thing, this is easy as pie

*This is a song on how to multiply, two step equations and even how to divide*

*I'm also gonna show you distributive property, and vocabulary there's such a wide variety*

*Like coefficient, variable and constant too*

*I'll even show you one day that your dreams will come true*

*I'm still kidding*

*To divide you isolate the variable, 0 pair the constant, this should be real simple*

*You balance both sides and you don't simplify,*

*Cancel the coefficient, in this case you multiply*

*Balance both sides once again, then you simplify now*

*I hope this is all making sense*

*The very last step is to verify, just like I said this is easy as pie*

*This is a song on how to multiply, two step equations and even on how to divide*

*I'm also gonna show you distributive property, and vocabulary there's such a wide variety*

*Like coefficient, variable and constant too*

*I'll even show you one day that your dreams will come true*

*Seriously, I'm not gonna do that*

*The last thing left is distributive property*

There's a simple technique and it's very easyThere's a simple technique and it's very easy

*You multiply the constant with the coefficient*

*Now the constant's changed and its something different*

*You still have to multiply using the variable, like I said it is a symbol*

*Follow all the steps for multiplication*

*When you do that there'll be no complication*

*This was my song on how to multiply, two step equations and even on how to divide*

*I showed you distributive property, and vocabulary with such a wide variety*#### Multiplying

The first thing you have to do is isolate the variable so you get rid of the +2 by adding -2. Also do that to the right side, 11-2. That's canceling the constant, the number that doesn't change. Which is why there is an X over it. Now the equation is balanced, well it always has been. When you finish that you're left with 3x=9.

Next you simplify by getting the variable by itself. You cancel the coefficient, the number that is being multiplied. You do that by dividing the number by itself, 3 divided by 3. Don't forget to do the same thing to your right side, 9 divided by 3. You now have x=3.

You balance by now using the value of x in the equation. Which is 3. You simplify by doing the first operation, which is multiplication so 3x3=9. Now you use that for the equation. So now you have 9+2=11. The last thing left is to verify, you do it to prove that the answer is right and both sides are equal, 11=11.

#### Dividing

You balance by using the value of x in the equation which is 8. Then you simplify by doing the first operation which is dividing 8 by 2. Now you use that answer for the equation. So now you have 4+3=7. The last thing left is to verify, you do it to prove that the answer is right and both sides are equal, 7=7.

#### Distributive Property

You multiply the coefficient with constant, 3x-2. I showed 3 groups of x (the unknown number (variable)) -2 which is -6. Now the constant is -6, making the equation 3x-6=9. You do all the steps for multiplication since the equation is changed into a multiplication one.

Now you follow the multiplication steps. Isolate the variable by adding +6 since you need to get rid of -6. Remember to also do that on your right side. Cancel the constant by putting an X over it. The balanced equation is now 3x=15. You simplify by getting the variable by itself. Cancel the coefficient so you divide it by itself, 3 divided by 3. Also do that to your other side. You are now left with x=5.

#### Modeling

This modeled equation is 2x-2=6

The two red rectangles represent 2x

The two white circles represent -2

The six black circles represent -6

You have to get rid of -2 by adding +2

Remember that whatever you do the left side, you must do to the right

Now you are left with 2x=8 since you added +2 to the right side also

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