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The Distributive Property Objectives Understand the distributive property Use the distributive property to combine like terms SIMPLIFY 3(4 + 7) = 1( 9 + 6) = We can also use the distributive property to simplify these. a (b + c) = a b + a c a (b - c) = a b - a c 5(4 + 2) = (x + 2)(6) = Use the distributive property for mental math I do this ALL THE TIME 34(102) = 14(98) = 7(86) Using the Distributive Property to Simplify Expressions Term - A number, variable, or both that are held together with addition or subtraction. Constant A term that has no variable Coefficient - The numerical factor in a term Like terms - Have the same variable factors 6 x - 5 xy + 3 y - 12
2 Would the following be considered like terms?
3x and -2x - 5x 2 and 11x 2 8x and 9y - 7 x y and 15 x y x 2 y and xy 2
2 3 2 3 You can use the distributive property to combine like terms (but I like to think of a UPS truck...)
3x + 5 x
2 2 - 18 y - 3 y - 4t + 2t 7 j 2 + 19 j - 6 j Homework# ___: Page 50 (1, 3, 13-23odd) (31-41 odd & 43, 44) What you need to be able to do for the quiz tomorrow 1) tell what set a number belongs to (Whole numbers, Integers, Natural numbers, Rational numbers, Irrational numbers) 2) Add, subtract, multiply and divide using negative numbers 3) Simplify powers of negative numbers or 4) Evaluate expressions and use the order of operations ...
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