Using the Distributive Property 3L interpret complicated expressions by viewing one or more of their parts as a single entity.

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Presentation transcript:

Using the Distributive Property 3L interpret complicated expressions by viewing one or more of their parts as a single entity

Distributive Property  The Distributive Property is an algebraic property which is used to multiply a single term and two or more terms inside a set of parentheses.  Example: 3(x + 6) = 3(x) +3(6) How would I simplify this expression after I distributed?

Practice 1. What is wrong here? 4(y + 3) = 4y (y + 7)y n(n – 9) 4. (2 – n)(2/3)

More Practice 5. -2(x + 7)6. (5 – y)(-3y) 7. – (2x – 11)8. (1/2)(2n + 6)

Try this!  Simplify the expression: 4(n+9) – 3(2 +n)  What did you do first and why?

Practice Simplify the expression: 9. (4a – 1)2 + a10. -6(v + 1) + v 11. 7(w – 5) + 3w12. (s – 3)(-2) +17s

Geometry  Find the perimeter and area of the rectangle: v + 3 5

You Try! – 12w X Find the perimeter and area of the rectangle.

Challenge! Translate the verbal phrase into an expression then simplify. 1. Twice the sum of 6 and x, increased by 5 less than x. 2. Three times the difference of x and 2, decreased by the sum of x and 10.