Sunday, March 26, 2017

Beginning Algebra With Applications, Chapter 2, 2.3, Section 2.3, Problem 50

Translate the phrase "the quotient of seven more than twice a number and the number" into a variable expression.

$
\begin{equation}
\begin{aligned}
& \text{The unknown number: } n && \text{Assign a variable to one of the number quantities}\\
\\
& \text{Twice the number: } 2n && \text{Use the assigned variable to write an expression for any other unknown quantity.}\\
\\
& \text{Seven more than twice the number: } 2n + 7 && \text{Again, by using the assigned variable to write an expression for any other unknown quantity.}\\
\\
&= \frac{2n + 7}{n} && \text{Use the assigned variable to write the variable expression.}
\end{aligned}
\end{equation}
$

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