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Writing Equivalent Expressions EXAMPLE 2 Use the distributive property to write an equivalent expression. Check your answer. a. –4(5 + 8) b. 4(50 – 3) c. 7(9) + 7(5) SOLUTION Distributive property Check: Simplify. Answer checks. = –52 a. Expression: = –4(5) + (–4) (8) –4(13) = ? –20 + (–32) –4(5 + 8) –52

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Writing Equivalent Expressions EXAMPLE 2 b. Expression: c. Expression: Check: 4(50 – 3) 4(47) Distributive property Simplify. Answer checks. 7(9) + 7(5) Distributive property Simplify. Answer checks. = = 4(50) – 4(3) = ? 200 – = 7(9 + 5) = ? 7(14) = 98

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Using the Distributive Property EXAMPLE 3 SOLUTION 8(15.95) = 8(16.00) – 8(0.05) Write as a difference of a whole number and a decimal. Distributive property = 8(16.00 – 0.05) Lava Lamps You are buying 8 small lava lamps as door prizes for a disco party that your school is having. Each lava lamp costs $ Use the distributive property to find the total cost of the lamps.

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Using the Distributive Property EXAMPLE 3 ANSWER The total cost of the lava lamps is $ = – 0.40 = Multiply. Subtract.

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for Examples 2 and 3 Use the distributive property to write an equivalent expression. Check your answer. GUIDED PRACTICE 2. 6( ) + 6( ) ANSWER 6( + ) – 6(12 + 3) ANSWER – 6(12) + (– 6)(3) 4. 8(12 – 5) ANSWER 8(12) – 8(5) 5. 3(11) – 3(4) ANSWER 3(11 – 4)

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GUIDED PRACTICE for Examples 2 and 3 6. What If? Suppose in Example 3 that each lava lamp costs $ Find the total cost of buying 6 lamps. ANSWER $107.40

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