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QuestionMathematics

"Translate the algebraic expression 9x into an equivalent English phrase. Which of the following options correctly represents the meaning of 9x? A. The difference of nine and a number B. The product of nine and a number C. The sum of nine and a number D. The quotient"
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Answer

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Step 1:
: Analyze the given algebraic expression

The algebraic expression is 9x. Here, 9 is a constant and x is a variable. The expression represents multiplication between the constant and the variable.

Step 2:
: Eliminate incorrect options

Option A: The difference of nine and a number would be represented as 9 - x, not 9x. Option C: The sum of nine and a number would be represented as 9 + x, not 9x. Option D: The quotient would be represented as 9 / x, not 9x.

Step 3:
: Identify the correct option

The correct option is B: The product of nine and a number, which can be represented as 9 * x or simply 9x.

Final Answer

The expression 9x is equivalent to the English phrase "The product of nine and a number" (option B).