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Mathematics, 19.12.2019 00:31 TheOneandOnly003

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lucy wrote 4(3x + 16) for the number of pieces of fruit in 4 baskets. joey wrote 4x + 8x + 64. which is the best explanation as to why these two expressions are equivalent?

a. you can use the distributive property to simplify lucy’s expression to 12x + 64, and you can combine like terms to simplify joey’s expression to 12x + 64.

b. when you use the distributive property to distribute 4 in lucy’s expression, you get joey’s expression.

c. when you combine the like terms 4x and 8x in joey’s expression, you get an expression that is equivalent to 4 times lucy’s expression.

d. you can use the commutative property of multiplication to write lucy’s expression as (3x + 16) 4 and you can use the commutative property of addition to write joey’s expression as 8x + 4x + 64.

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