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Worksheet Worksheet 2
1.
Determine whether \(p = -3\) is a solution of the equation \(-2p - 4 = -2\text{.}\)
2.
Solve the equation \(7x = x + 24\) using a complete presentation.
3.
Consider the following presentation for solving the equation from the previous problem.
\begin{equation*}
\begin{aligned}
7x \amp = x + 24 \\
7x - x \amp = x + 24 - x \amp \eqnspacer \amp \text{Subtract $x$ from both sides} \\
7x - x \amp = x - x + 24 \amp \amp \text{Rearrange the terms} \\
7x - x \amp = (x - x) + 24 \amp \amp \text{Group the terms} \\
(7 - 1)x \amp = (1 - 1)x + 24 \amp \amp \text{Factor out the $x$} \\
6x \amp = 0x + 24 \amp \amp \text{Arithmetic} \\
6x \amp = 24 \amp \amp \text{Simplify} \\
\frac{6x}{6} \amp = \frac{24}{6} \amp \amp \text{Divide both sides by $6$} \\
x \amp = 4 \amp \amp \text{Arithmetic}
\end{aligned}
\end{equation*}
The work above is all technically correct. Why do you think this would be considered a problematic presentation?
