Algebra Period 4

EQUATIONS 3-3 continued TWO STEPS WITH DISTRIBUTIVE PROPERTY

Usually, you want to do DISTRIBUTE FIRST!
UNLESS THE FACTOR OUTSIDE THE ( ) CAN BE DIVIDED
OUT OF BOTH SIDES PERFECTLY!!!!

EXAMPLE: 
5y - 2(2y + 8) = 16
5y - 4y - 16 = 16 [distribute]
y - 16 = 16 [collect like terms]
y = 32 [solve by adding 16 to both sides]

EXAMPLE:
-3(4 + 3x) = -9
[Don't distribute! Divide by -3.
4 + 3x = 3
The -3 goes into both sides perfectly!)
3x = -1 [Subtract 4 from both sides]
x = -1/3 [Divide both sides by 3]

Chapter 3-5:
TWO STEPS WITH VARIABLES ON BOTH SIDES OF EQUATIONS
simplify each side of the equation first

Then use the ADDITIVE INVERSE PROPERTY to move variable to the other side

Usually, we try to move the smaller coefficient to the larger because sometimes that avoids negative coefficients

But that is not always the case, and you may move whatever side you choose.
EXAMPLE:
3y - 10 - y = -10y + 12
2y - 10 = -10y + 12
+10y +10y
12y - 10 = 12
+ 10 +10
12y = 22
12 12
y = 11/6