Day 18 – September 19

Algebra, Chapter 2, Lesson 7, page 89.

Using the Distributive Property

The distributive property of multiplication over addition and subtraction is:

`a(b+c)=ab+ac` and `a(b−c)=ab−ac`

You can also combine LIKE TERMS ONLY IF THE VARIABLE AND THE EXPONENT OF THE VARIABLE ARE EXACTLY THE SAME!

Examples, (remember to use the wacky arrows!):

`9(x – 5) = 9x – 9(5) = 9x – 45`

`-4(x – 2y + 3z) = -4 * x – (-4)(2y) + (-4)(3z)`

`= -4x – (-8y) + (-12z) = -4x + 8y – 12z`

(don’t forget the change-change or bling-bling, double negative thingy …)

Here is a link from purplemath.com about the distributive property with more examples.

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