Equivalent+Expressions

__**Equivalent Expressions**__
by Ashley W.

__Equivalent Expressions__- to replace a complicated expression with a simpler one.

__Example:__

2(4x+6) is the same as 8x+12

1. __How did I get 8x+12 from 2(4x+6):__

a.) 8x is the same as 2 • 4x.

8x=2 • 4x

Just multiply 2 • 4=8, just add on the x. You get 8x.

b.) 12 is the same as 2x6.

12=2x6

There is a 2 and a 6 and the operation that is performed is multiplication so 2x6 is 12.

__Undoing Equivalent Expressions__- to make a simpler expression a complicated one.

__Example:__

20x+12+4 is the same as 2(10x+6+2)

1. __How did I got 2(10x+6+2) from 20x+12+4__

a.) Find out the lowest common number that can go into 20x,12,and 4 easily.

20x-2,4,5,10 12- 2,3,4,6, 4- 2,4,8,12

b.) 2 is the lowest common number that goes into all those three numbers evenly.

So, divide.........

2 into 20x and you'll get 10x

2 into 12 and you'll get 6

2 into 4 and you'll get 2

c.) Now we have 10x+6+2 but that isn't equivalent to 20x+12+4.To make it eqivalent you place the parenthesis's around of the equation and a 2, right out side the parathesis's, like this.........

2(10x+6+2)