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Write an expression to represent:
6 more than the quotient of 4 and
x.

Write an expression to represent: $\newline$ $6$ more than the quotient of $4$ and $x$ .

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Write inverse variation equations

Full solution

Q. Write an expression to represent:

\newline

6

more than the quotient of

4

and

x

.

Question Prompt: Question prompt: Write an expression to represent $6$ more than the quotient of $4$ and $x$ .
Understand Components: Understand the components of the expression. $\newline$ The ＂quotient of $4$ and $x$ ＂ means we are dividing $4$ by $x$ . The phrase ＂ $6$ more than＂ indicates that we need to add $6$ to this quotient.
Write Expression: Write the expression for the quotient of $4$ and $x$ . The quotient of $4$ and $x$ is written as $\frac{4}{x}$ .
Add $6$ to Quotient: Add $6$ to the quotient of $4$ and $x$ . To represent ＂ $6$ more than the quotient of $4$ and $x$ ,＂ we add $6$ to the expression from Step $2$ . The expression becomes $6 + (4/x)$ .
Check Expression: Check the expression to ensure it matches the description. $\newline$ The expression $6 + \frac{4}{x}$ correctly represents ＂ $6$ more than the quotient of $4$ and $x$ .＂ There is no need for further simplification or rearrangement.

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