Dhonell+and+Marc

Dear mommys and daddys, In math, we are learning about algebra. Algebra is a hard subject. I was trying to learn it and it burnt my brain and made it all squishy. Instead of the wholesome brain I had before. Well while I was learning algebra, the little remains of my wholesome brain absorbed some of the Algebra Mr. Harbeck taught us. Well here I am, going to take a shot at making an Algebra documentary.

 **__Algebra Tiles__**

We learned about algebra through algebra tiles. We learned that different tiles stood for different things.

This is a picture for negative algebra tiles. The one square is red because it is a negative 1. it is a interger or the constant. The constant means that the number never changes. The long green square is marked as negative N. It is the variable. The variable means that it can be and number. The big green square means a negative N multiplied (x) by a negative N equals -N to the exponent 2. We only use that tile in grade 9.



This picture is for positive algebra tiles. The one square is white because it is a positive 1. Well, all the tiles are white. The long white square is marked as N. The big white square means a positive N times a positive N. As I said before, we will only be using the long tiles and the small tiles in grade 8.

I am going to show you Algebra tiles in action later in this documentary on Algebra. Before you can get into actually solving algebra questions though, you may need to know about zero pairs.


 * __Zero Pairs__**

Zero Pairs are a pair of intergers that cancel eachother out. They are opposites and when you put them together you'll get a zero. For example, -1 and 1. If you add or subtract them together they become 0. -2+2=0 //2-(-2)=0


 * __[[image:dhonell&marcmath3.jpg align="left"]]

BEDMAS__**//

Bedmas is an important part of Algebra. Any math most likely. Bedmas is the order for the operations in an equation. Each letter stands for a different operation. **B** stands for brackets [ ]. You dothe math in the brackets first, then the rest of the equation. **E** stands exponents. After you finish the work in the brackets, you do the exponents. For example 2² = 2 x 2 = 4. The **D** stands for division. The **M** stands for multiplication. For these two, you do both of them after **B** and **E.** The **A** stands for addition, the **S** for subtraction. Those are the operations in **BEDMAS.**


 * __Terms__**


 * Variable:** A letter that represents a number ( //x, y, any letter//)
 * Expression**: //X + 11// Can have more then 1 answer
 * Equation:** //X + 11 = 12// An eqaution has only 1 answer
 * Variable and Integer:** X letters (//variable//) 11 numbers (//interger//)
 * Isolate:** to leave by itself alone.


 * __Algebra: 2 Step Equation__**

This is were the magic happens. Your first Algebra type question. An Algebra 2 step exquation means that to solve the equation or problem, it takes, umm 2 steps. Here is an example. 2x+5=18 You first have to isolate the varialbe. To do this, you make zero pairs. Whatever you do to one side you do to the other, you balance it out. 2x+5=18 __-5__-5 Now you know what 2x equals. 2x = 12 Since theres a number touching a variable, that means you have to multiply that number, but you still dont know what the variable is. Next, since your multiplying by 2. You divide by 2. 2x = 12 2\2x = 12/2 x = 6 Now since you have the variable, you have to substitute to check. Here is what the overall question looks like. 2x + 15 = 18 2(6) + 5 = 18 12 + 5 = 18 18 = 18 This is solving the question with algebra tiles First your question looks like this <--