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Worksheet Worksheet 4
1.
Solve the equation \(-3x + 12 = 5x - 8\) using a complete presentation.
2.
Solve the equation \(4x + 7 = -3x + 7\) using a complete presentation.
3.
Perform the indicated algebraic manipulations.
\begin{equation*}
\begin{aligned}
x^2 \amp = 6x + 7 \\
\\
\amp \amp \eqnspacer \amp \text{Subtract $6x$ from both sides} \\
\\
\amp \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}
5x + 8 \amp = -2x - 8 \\
5x \amp = -2x \amp \eqnspacer \amp \text{Subtract $8$ from both sides} \\
7x \amp = 0 \amp \amp \text{Add $2x$ to both sides} \\
x \amp = 0 \amp \amp \text{Divide both sides by $7$}
\end{aligned}
\end{equation*}
