Sunday, July 1, 2018

Beginning Algebra With Applications, Chapter 2, 2.3, Section 2.3, Problem 28

Translate the phrase "the difference between the square of $c$ and the total of $c$ and fourteen" into a variable expression.

$
\begin{equation}
\begin{aligned}
& \text{The unknown number: } c && \text{Assign a variable to one of the number quantities}\\
\\
& \text{The square of $c$: } c^2 && \text{Use the assigned variable to write an expression for any other unknown quantity.}\\
\\
& \text{The total of $c$ and fourteen: } c +14 && \text{Again, by using the assigned variable to write an expression for any other unknown quantity.}\\
\\
&= c^2 - (c +14) && \text{Use the assigned variable to write the variable expression.}\\
\\
&= c^2 - c - 14
\end{aligned}
\end{equation}
$

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