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Published byAntony Hood Modified over 7 years ago

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Distributive Property and combining like terms.

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Use the Distributive Property to simplify each expression. 1. 8(m + 5) = 48 2. 5(3x + 9) = 75 3. –2(4 – 3y) = -50 4. 5(8x – 3) = 100

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Term: ◦ a # or a # multiplied by a letter Like Terms: ◦ Terms that contain the same variable (letter) Combine means Add Simplify an Expression: ◦ no parentheses and all like terms have been combined. Equivalent means =

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Simplify each algebraic expression by combining like terms. 4x – 7x + 5x (4 – 7 + 5)x 2x2x 8y + (– 6) + 3 – 4y 4y – 3

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Simplify: 9m + 3p – 3p – 2m + m 8m + 0p 8m8m

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1. Using the Distributive Property 2. Combine all like terms

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Simplify each algebraic expression. 4(x + 5) – 3x + 7 4x + 20 – 3x + 7 x + 27 6y – 2(y – 7) + 3 6y – 2y + 14 + 3 4y + 17

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Simplify each algebraic expression. 1. 7x – 2x + x 2. –9 + 5y – 2y + 9 3. 18w – 5d + 8d – 21w 4. 4x + 6(x + 2) + 3

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If a classmate missed this lesson, how would you describe to them the process of simplifying an expression?

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