Why should we group like terms?
\mdots{2}

Give an example of grouping like terms.
\mdots{2}

\begin{examplebox}
    \subsection{Examples}
Which of the following are pairs of like terms?
    \begin{multicols}{3}
        \begin{enumerate}[(a)]
            \item \(3x, 2x\)
            \item \(3m, 2c\)
            \item \(3x^2, 3x\)
            \item \(2x^2y, 3yx^2\)
            \item \(2mn, 3nm\)
            \item \(5y^2, 6y^2x\)
        \end{enumerate}
    \end{multicols}

    Simplify each expression if possible:
    \begin{multicols}{2}
        \begin{enumerate}[(a)]
            \item \(4a + 7a = \)\dotfill
            \item \(3x^2y + 4x^2 -2x^2y = \)\dotfill
            \item \(5m + 6n = \)\dotfill
            \item \(9b + 2c - 3b + 6c = \)\dotfill
            \item \(3z+5yx-z-6xy=\)\dotfill
            \item \(6x^3-4x^2+5x^3\)\dotfill
        \end{enumerate}
    \end{multicols}
\end{examplebox}

\begin{exercisebox}
    \subsection{Exercises}
    \begin{enumerate}
        \item
            Simplify:
                \begin{multicols}{2}
                    \begin{enumerate}
                        \item \(\frac{x}{2} + \frac{x}{3}\)
                            \mdots{3}
                        \item \(\frac{3x}{4} - \frac{2x}{5}\)
                            \mdots{3}
                    \end{enumerate}
                \end{multicols}
        \item
            Which of the following are pairs of like terms?
            \begin{multicols}{2}
                \begin{enumerate}
                    \item \(12m, 5m\)
                    \item \(-6a, 7b\)
                    \item \(6ab, -7b\)
                    \item \(6x^2, -7x^2\)
                \end{enumerate}
            \end{multicols}
        \item
            Simplify each expression by collecting like terms.
            \begin{multicols}{3}
                \begin{enumerate}
                    \item \(8b + 3b\)\dotfill
                    \item \(6x^2 + 4x^2\)\dotfill
                    \item \(7f-3f+9f\)\dotfill
                \end{enumerate}
            \end{multicols}
        \item
            Fill in the missing term.
            \begin{multicols}{3}
                \begin{enumerate}
                    \item \(8mn + \dotfill = 12mn\)
                    \item \(6m^2 - \dotfill = m^2\)
                    \item \(-7a^2b + \dotfill = a^2b\)
                \end{enumerate}
            \end{multicols}
            \newpage
        \item
            Simplify by collecting like terms.
            \begin{multicols}{2}
                \begin{enumerate}
                    \item \(8p + 6 + 3p - 2=\)\dotfill
                    \item \(10ab+11b-12b+3ab=\)\dotfill
                    \item \(4p^2-3p-8p-3p^2=\)\dotfill
                    \item \(-4x^2+3x^2-3y-7y=\)\dotfill
                    \item \(7x^3+6x^2-4y^3-x^2=\)\dotfill
                    \item \(-3ab^2+4a^2b-5ab^2+a^2b=\)\dotfill
                \end{enumerate}
            \end{multicols}
        \item
            Simplify:
            \begin{multicols}{3}
                \begin{enumerate}
                    \item \(\frac{c}{6} + \frac{c}{7}\)
                        \mdots{2}
                    \item \(\frac{x}{7} - \frac{x}{8}\)
                        \mdots{2}
                    \item \(c - \frac{c}{7}\)
                        \mdots{2}
                    \item \(\frac{2x}{3} + \frac{x}{4}\)
                        \mdots{2}
                    \item \(\frac{5x}{3} + \frac{x}{2}\)
                        \mdots{2}
                    \item \(\frac{5x}{11} - \frac{2x}{3}\)
                        \mdots{2}
                \end{enumerate}
            \end{multicols}
    \end{enumerate}
\end{exercisebox}
