SOLUTION: My mom says that there are rules you have to learn and memorize in order to do any kind of algebra problem. I'm homeschooled and I'm taking algebra 1A. I have no clue what rules sh

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Question 361399: My mom says that there are rules you have to learn and memorize in order to do any kind of algebra problem. I'm homeschooled and I'm taking algebra 1A. I have no clue what rules she is talking about. Do you know them? if you do can you please list them! thank you :)
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
ALL of the below have to be memorized, its alot all at once but you will learn these all over time. and they are all rather easy once you start using them everyday.
First basics is order of operations
"Please Excuse My Dear Aunt Sally" or (PEMDAS) which means:
Parenthesies
Exponents
Multiplication
Division
Adding
Subtracting
ex: %28%28%282%2B3%29%5E2%2A2%29%2F10%29%2B1-6=y Answer:y=0
Work P:2%2B3=5 , E:5%5E2=25 , M:25%2A2=50 , D:50%2F10=5 , A:5%2B1=6 , S:6-6=0


The distributive property
taking the number outside the parenthasies and multiplying it in to the variables or numbers inside.
2%28x%2By%29=2x%2B2y
x%283%2By%29=3x%2Bxy


Associative Property
For addition, the rule is a+%2B+%28b+%2B+c%29+=+%28a+%2B+b%29+%2B+c; in numbers, this means 2+%2B+%283+%2B+4%29+=+%282+%2B+3%29+%2B+4. For multiplication, the rule is a%28bc%29+=+%28ab%29c; in numbers, this means 2%283%2A4%29=%282%2A3%294


Commutative Property
For addition, the rule is a+%2B+b+=+b+%2B+a; in numbers, this means 2+%2B+3+=+3+%2B+2. For multiplication, the rule is ab+=+ba; in numbers, this means 2%2A3+=+3%2A2


Laws Of Exponents
x%5Ea%2Ax%5Eb=x%5E%28a%2Bb%29 , x%5E2%2Ax%5E3=x%5E5
%28x%5Ea%29%5Eb=x%5E%28ab%29 , %28x%5E2%29%5E3=x%5E6
%28xy%29%5Ea=x%5Eay%5Ea , %28xy%29%5E2=x%5E2y%5E2
x%5E%28-a%29=1%2Fx%5Ea , x%5E%28-2%29=1%2Fx%5E2


FOIL Method
%28a%2Bb%29%28c%2Bd%29
First numbers
a%2Ac
Inner numbers
b%2Ac
Outer numbers
a%2Ad
Last numbers
b%2Ad


Quadratic Equation and formula
equation:ax%5E2%2Bbx%2Bc=0
Formula in words: opposite of b Plus or minus the squareroot of b squared minus four times a times c all over 2 times a
Formula looks like: %28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a


Pythagorean Theorem
a%5E2%2Bb%5E2=c%5E2 Where a and b= the 2 small sides of a triangle and c is the hypotenuse.


(L=Length W=Width H=Hieght S=Side)
Perimeter of a rectangle
P=2%28L%2BW%29 or P=2L%2B2W
Area of a rectangle
A=LW
Volume of rectangle box
V=L%2AW%2AH
Surface area of a cube
A=S%5E2%2A6
Volume of a cube
V=S%5E3


Slope Intercept form
(m=slope b=y-intercept)
y=mx%2Bb
y=%282%2F3%29x%2B4 slope is 2/3 , y-intercept is 4
Finding Slope from 2 points
(x1,y1)(x2,y2)
m=%28y2-y1%29%2F%28x2-x1%29
I Hope all these help
Good Luck