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The Distributive Property A way of simplifying expressions. Distribute a number or variable across a grouping symbol. Gives an equivalent expression in different terms.

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The Distributive Property

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Simplify : 2(y + 4) 2(y) + 2(4) 2y + 8 5(s + 10) 5(s) + 5(10) 5s + 50 a(11 + c) a(11) + a(c) 11a + ac x(w + y + z) x(w) + x(y) + x(z) wx + xy +xz

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Straight From the Manufacturer You are the top game buyer for the 5 branches of our local toy store. Your job is to make sure that we have the newest and latest video games available. So you have a meeting with a manufacturer to check out the games that are about to be released to the public. You play each game and decide to order 10 copies of game A, 12 copies of game B, and 15 copies of game C for each of our 5 stores. Use the distributive property to find the total number of games you are ordering.

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Plan of Action Let’s put it all together … DON’T PANIC !! Let’s write what we know: Number of stores : 5 Number of game A : 10 Number of game B : 12 Number of game C: 15 Total number of games (unknown): G

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Straight From the Manufacturer Continued …

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Simplify 12(x + 4) 12x + 48 4(5 - 2x) 20 – 8x s(t + 3u) st + 3su p( s – 5 + 2) pps – 5p + 2p pps – 3p m(a + 4z - w) aam+ 4mz – mw - 5(b + 3 – 2) -- 5b – 15 +10 --5b - 5

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The Distributive Property Section 5.4 Simplifying Expressions 3(4+x)+ x Like terms.

The Distributive Property Section 5.4 Simplifying Expressions 3(4+x)+ x Like terms.

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