Worksheet Worksheet 5
1.
Solve the equation \(7x - 15 = -2x + 7\) using a complete presentation.
2.
Solve the equation \(-5x - 3 = -3x + 3\) using a complete presentation.
3.
Work backwards from the given information to derive the original presentation.
\begin{equation*}
\begin{aligned}
\amp \amp \eqnspacer \amp \\
\\
\amp \amp \amp \text{Subtract $3x$ from both sides} \\
\\
2x + 1 \amp = 5x -4 \amp \amp \text{Add $9$ to both sides}
\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}
6x + 4 \amp = -3x - 10 \\
6x \amp = -3x - 14 \amp \eqnspacer \amp \text{Subtract $4$ from both sides} \\
9x \amp = -14 \amp \amp \text{Add $3x$ to both sides} \\
x \amp = \frac{14}{9} \amp \amp \text{Divide both sides by $9$}
\end{aligned}
\end{equation*}