Questions: Change the word phrase to an algebraic expression. Use x variable to represent the number. the quotient of a number and five x/5 5 x 5-x 5+x

Change the word phrase to an algebraic expression. Use x variable to represent the number. the quotient of a number and five x/5 5 x 5-x 5+x
Transcript text: Change the word phrase to an algebraic expression. Use $x$ variable to represent the number. the quotient of a number and five $\frac{x}{5}$ $5 x$ $5-x$ $5+x$
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Solution

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Solution Steps

To convert the word phrase "the quotient of a number and five" into an algebraic expression, we need to understand that "quotient" refers to division. Therefore, the expression involves dividing the variable \( x \) by 5.

Step 1: Understand the Phrase

The phrase "the quotient of a number and five" indicates a division operation. The word "quotient" refers to the result of dividing one number by another.

Step 2: Define the Algebraic Expression

To express the phrase algebraically, we use the variable \( x \) to represent "a number." The phrase translates to the expression \( \frac{x}{5} \).

Step 3: Evaluate the Expression for a Given Value

If we substitute \( x = 10 \) into the expression \( \frac{x}{5} \), we calculate:

\[ \frac{10}{5} = 2 \]

Final Answer

The algebraic expression for "the quotient of a number and five" is \( \frac{x}{5} \). For \( x = 10 \), the result is \(\boxed{2}\).

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