Before we continue further it is important that our vocabularies are the same:

\begin{boxdef}
    \large{\textbf{Expression:}} 
    \begin{solutionordottedlines}[1in]
        An expression is just a combination of numbers and letters. An example would be $2x + 7$
    \end{solutionordottedlines}
\end{boxdef}

\begin{boxdef}
    \large{\textbf{Linear:}} 
    \begin{solutionordottedlines}[1in]
        An expression that relates variables in the shape of a straight \textit{line}.
    \end{solutionordottedlines}
\end{boxdef}

\begin{exercisebox}
    You will want to construct \textit{linear expressions} to solve the following
    \subsection{Exercises:}
    \begin{questions}
        \questionpoints[1] When Andriana's age is doubled, the number is 3 more than Helen's age. If Andriana's age is \(x\) years, what is Helen's age?
        \begin{solutionordottedlines}[1in]
        \end{solutionordottedlines}
        \questionpoints[2] The length of a rectangle is 5 metres more than its width.
        \begin{parts}
            \part If \(w\) metres is the width of the rectangle, express the length of the rectangle in terms of \(w\). 
            \begin{solutionordottedlines}[1in]
            \end{solutionordottedlines}
            \part If \(\ell\) metres is the length of the rectangle, express the width of the rectangle in terms of \(\ell\).
            \begin{solutionordottedlines}[1in]
            \end{solutionordottedlines}
        \end{parts}
        \questionpoints[2] In a competition, Deeksha scored 18 points more than Greta and Deirdre scored 5 points less than twice the number of points Greta scored. If \(a\) is the number of points Greta scored:
            \begin{parts}
                \part express the number of points Deeksha scored in terms of \(a\)
                \part express the number of points Deirdre scored in terms of \(a\)
            \end{parts}
        \questionpoints[9] Match each of the following mathematical expressions with its corresponding verbal expression.
        \begin{parts}
            \part \flushleft{\(4+2 x \quad\)} \flushright{\(\quad\) Six less than four times \(x\)}
            \part \flushleft{\(x-5\)} \flushright{Three times one more than \(x\)}
            \part \flushleft{\(2 x-4\)} \flushright{Two less than one-quarter of \(x\)}
            \part \flushleft{\(3(x+1)\)} \flushright{One-quarter of two less than \(x\)}
            \part \flushleft{\(4x-6\)} \flushright{Four less than twice \(x\)}
            \part \flushleft{\(\frac{x}{4}-2 \quad\)} \flushright{\(\quad\) Six more than half of \(x\)}
            \part \flushleft{\large\(\frac{x-2}{4}\)} \flushright{One more than three times \(x\)}
            \part \flushleft{\(x+6\)} \flushright{Five less than \(x\)}
            \part \flushleft{\(3 x+1 \quad\)} \flushright{\(\quad\) Six more than \(x\)}
            \part \flushleft{\large\(\frac{x}{2}+6 \quad\)} \flushright{Four more than twice \(x\)}
        \end{parts}
    \end{questions}
\end{exercisebox}



