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Worksheet Worksheet 2

1.

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*}