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

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

Solution

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:

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