Distributive Property and Absolute Value

Brain Pop http://www.glencoe.com/sec/math/algebra/a

lgebra1/algebra1_05/brainpops/index.php4/tn

Distributive Property Distribute-to handout or share Has an associated group inside ( ) with a

number on the outside that needs to be “handed out” to the inside using mult.

Example: Ex. 2(x+1) Ex. (y+4)5 Ex. -2(m+1) Ex. 3(3-x) Ex. (y-7)(-2) Ex. -2m-2

Here is how we use it Rewriting numeric expressions:Ex. (3+2)4 You create equivalent expressions when you

rewrite. Try another one. Ex. -5(6-3) Use it to simplify expressions like:

5(x2+x+3) and -4(x2-2x+2).

Like Terms Like terms have the same variable letter

with the same exponent. Are these like terms? 2x and x?What about x3 and x2? Or x and x2? If they are like terms, you “operate” the

coefficients and keep the variable and exponent the same.

Try this: 3x+4x+x Ex. x+y+2y Ex. y-2y+3 Ex. 3y+4x-2xy

Sort of like a stand up shower. The “dirty” negatives get washed away but the clean positives stay clean.

Evaluate, (find the answer to) the items on the inside using PEMDAS.

Then, like an operation, take the absolute value of that number.

If there are more calculations on the outside of the abs symbols, then do them AFTER you take the abs!!

Absolute Value

1. ∣90∣=2. ∣-7.4∣=3. ∣35/47∣=(fraction)

This is what a SIMPLIFIED absolute value should look like. Two bars with ONE number inside.

Simple ones:

Evaluate if a=4, b = , c= , x=14, y=2.4, z= -3

1. 41-16-∣z ∣ 2. ∣3a +2∣-153. ∣2x+4 ∣-64. 2.5 - ∣3.8 - y∣5. (b- ) + ∣ ∣

Ones with operations:53

23

51

103

Pg. 30 #20-26 even. Show use of distributive property and simplify if needed.

Pg. 71 #46-56 even.

Write this in your notebook. I need to initial it BEFORE you leave.

Class Work