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Published bySharyl Arnold Modified over 4 years ago

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Use the Distributive Property to: 1) simplify expressions 2) Solve equations

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Solve each equation. Check your solution. 1. 5x – 3 = –18 2. ` 3. –2N + 4 = –12

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Term: A number or the product of a number and a variable. Constant: A term with no variable. Coefficient: The number multiplied by a variable.

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1. Distribute the front coefficient to remove the parentheses. 2. Undo addition or subtraction using inverse operations. 3. Undo multiplication or division using inverse operations. 4. Check your answer.

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Use the Distributive Property to simplify each expression. 7(x + 8) 7(x) + 7(8) 7x + 56 –3(y – 2) –3(y) – (–3)(2) –3y –(–6) –3y + 6

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Solve the equation for the variable. Check your solution.

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Use the Distributive Property to simplify the expression.

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Use the Distributive Property to simplify each expression. 1. 3(x – 5) 2. –2(6x – 1) Solve each equation. Show your work and check your solution. 3. 8(x –1) = 16 4. –20 = (6x + 2)

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What steps would you take to solve the equation 4(x + 3) = – 8?

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–5(2m – 1) = 25 –10m + 5 = 25 – 5 –5 –10m = 20 –10 –10 m = –2 –5(2(–2) – 1) ≟ 25 –5(–4 – 1) ≟ 25 –5(–5) ≟ 25 25 = 25 Solve the equation for the variable. Check your solution.

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