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9(5x +1) ÷ 3y From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. ​

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9514 1404 393

Explanation:

sum -- the result of addition: 5x+1

term -- a constant, variable, or product of a constant and one or more variables. In the more general sense, a term is any part of the expression that can be considered by itself. An example is 5x

product -- the result of multiplication: 9(5x+1), where 9 is multiplied by the sum (5x+1)

factor -- part of a product: x

quotient -- the result of division: 9(5x+1)÷3

coefficient -- a constant, or the constant that multiplies the variables in a term: 5

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Additional comment

The way this is written, there will be the tendency to think of 3y as a term in the same sense that 5x is a term. That would be incorrect. The Order of Operations has you interpret this expression as ...

  [tex]\dfrac{9(5x+1)}{3}\cdot y[/tex]

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