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Writing Equivalent Expressions

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

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Writing Equivalent Expressions

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

  2. 7(14) = 98 ? ? = = 200 – 12 = 188 EXAMPLE 2 Writing Equivalent Expressions b. Expression: 4(50 – 3) = 4(50) – 4(3) Distributive property Check: 4(47) Simplify. 188 Answer checks. c. Expression: 7(9) + 7(5) = 7(9 + 5) Distributive property 63 + 35 Check: Simplify. 98 Answer checks.

  3. 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 $15.95. Use the distributive property to find the total cost of the lamps. EXAMPLE 3 Using the Distributive Property SOLUTION = 8(16.00 – 0.05) 8(15.95) Write 15.95 as a difference of a whole number and a decimal. = 8(16.00) – 8(0.05) Distributive property

  4. ANSWER The total cost of the lava lamps is $127.60. EXAMPLE 3 Using the Distributive Property = 128.00 – 0.40 Multiply. = 127.60 Subtract.

  5. ANSWER 6( + ) ANSWER ANSWER ANSWER – 6(12) + (– 6)(3) 8(12) – 8(5) 3(11 – 4) 2. 6( ) + 6( ) 1 1 6 6 7 7 7 7 GUIDED PRACTICE for Examples 2 and 3 Use the distributive property to write an equivalent expression. Check your answer. 4. 8(12 – 5) 3. – 6(12 + 3) 5. 3(11) – 3(4)

  6. ANSWER $107.40 GUIDED PRACTICE for Examples 2 and 3 6. What If? Suppose in Example 3 that each lava lamp costs $17.90. Find the total cost of buying 6 lamps.

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