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Distributive Property and Absolute Value

Distributive Property and Absolute Value. Brain Pop. http://www.glencoe.com/sec/math/algebra/algebra1/algebra1_05/brainpops/index.php4/tn. Distributive Property. Distribute-to handout or share

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Distributive Property and Absolute Value

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  1. Distributive Property and Absolute Value

  2. Brain Pop • http://www.glencoe.com/sec/math/algebra/algebra1/algebra1_05/brainpops/index.php4/tn

  3. 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

  4. 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).

  5. 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

  6. Absolute Value • 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!!

  7. Simple ones: • ∣90∣= • ∣-7.4∣= • ∣35/47∣=(fraction) • This is what a SIMPLIFIED absolute value should look like. Two bars with ONE number inside.

  8. Ones with operations: Evaluate if a=4, b = , c= , x=14, y=2.4, z= -3 • 41-16-∣z ∣ • ∣3a+2∣-15 • ∣2x+4∣-6 • 2.5 - ∣3.8 - y∣ • (b- ) + ∣ ∣

  9. Class Work • 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.

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