4 x 53 =4(50 + 3) =(4 x 50) + (4 x 3) =200 + 12 =212 Warm-up 4 x 27 =4(20 +7) =4(20) +4(7) =80 + 28 =108 Explain what is happening in each of these boxes,

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Presentation transcript:

4 x 53 =4(50 + 3) =(4 x 50) + (4 x 3) = =212 Warm-up 4 x 27 =4(20 +7) =4(20) +4(7) = =108 Explain what is happening in each of these boxes, then use a similar strategy to solve problem 1-3 below. 1.7 x x x 142

Distributive Property! What does “distribute” mean?

Distributive Property! The Distributive Property (of Algebra) says: a(b + c) = ab + ac

Distributive Property! a(b + c) = ab + ac How does this go along with our warm-up? 4 x 53 =4(50 + 3) =(4 x 50) + (4 x 3) = =212

Distributive Property Example 1) 5 ( + ) 2) 2 ( + + ) 3) 4 ( ) Do 4, 5 and 6 on your own! 7) 5 ( - )

Now with some variables… Simplify the following expressions… 5 (2x + 3) 7 (x + 2) 10 (2x - 5) 6 ( 2m - 2)

Write five challenging expressions that can be simplified using the distributive property and then solve them! Example (don’t use mine!) 7 (x + 2) = (7x) + (72) =-7x + 14 Lastly, write one question you have about the distributive property! TOTD