Friday, November 7, 2014

Beginning Algebra With Applications, Chapter 2, 2.3, Section 2.3, Problem 24

Translate the phrase "the total of nine times the cube of $m$ and the square of $m$" into a variable expression.

$
\begin{equation}
\begin{aligned}
& \text{The unknown number: } m && \text{Assign a variable to one of the number quantities}\\
\\
& \text{The square of $m$: } m^2 && \text{Use the assigned variable to write an expression for any other unknown quantity.}\\
\\
& \text{The cube of $m$: } m^3 && \text{Again, by using the assigned variable to write an expression for any other unknown quantity.}\\
\\
&= 9m^3 + m^2 && \text{Use the assigned variable to write the variable expression.}
\end{aligned}
\end{equation}
$

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