Consider the expression \(2x(x - 3) + 4\text{.}\) Describe the "big picture" perspective of the expression and put boxes around the terms as appropriate.
2.
Evaluate the expression \(2x(x - 3) - 5\) when \(x = 2\text{.}\) Use a complete presentation.
3.
Check the presentation for errors. If you find one, circle it and describe the mistake in words.
\begin{equation*}
\begin{aligned}
3x + f(4) \amp = f(10) \\
3x + 4 \amp = 10 \amp \eqnspacer \amp \text{Cancel out the $f$} \\
3x \amp = 6 \amp \amp \text{Subtract $4$ from both sides} \\
x \amp = 2 \amp \amp \text{Divide both sides by $3$}
\end{aligned}
\end{equation*}
4.
Check the presentation for errors. If you find one, circle it and describe the mistake in words.
\begin{equation*}
\begin{aligned}
\exp(x) + 3 \amp = 8 \\
\exp(x) \amp = 5 \amp \eqnspacer \amp \text{Subtract $3$ from both sides} \\
x \amp = \frac{5}{\exp} \amp \amp \text{Divide both sides by $\exp$} \\
\end{aligned}
\end{equation*}