Day 3

Intro and Algebra: Chapter 1-2

The Commututive and Identity Properties

Commutative property is only for addition and multiplication.

`x + 5 = 5 + x`

`5 * y = y * 5`

Remember the identify properties of addition (0) and multiplication (1).

Anything to the 1st power is the number and anything to the 0 power is always = 1.

`z^1=z` and `z^0=1`

To form equivalent expressions, multiply the expression by `1/1` or variable/variable, like `y/y`. For example, convert `z/2` to an equivalent expression using `1/1` or `y/y`. To do this we have:

`z/2= z/2 * y/y = (zy)/(2y)

We can simplify algebraic expressions using the identity property for multiplication. For example, simplify `(xy)/(3y)

`(xy)/(3y) = (x*y)/(3*y) = x/3*y/y = x/3

Don’t forget, please put your first and last name on homework pages and make sure that I can read it. Show all work as well!!

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