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Worksheet Worksheet 1

1.

Circle and identify the two features that make the equations below make a complete presentation of the mathematical manipulation.

\begin{equation*} \begin{aligned} -6x + 16 \amp = -8 \\ -6x \amp = -24 \amp \eqnspacer \amp \text{Subtract $16$ from both sides} \\ x \amp = 4 \amp \amp \text{Divide both sides by $6$} \end{aligned} \end{equation*}

2.

Solve the equation \(5x + 9 = 34\) using a complete presentation.

3.

Solve the equation \(4x - 13 = 8\) using a complete presentation.

4.

Work backwards from the given information to derive the original presentation.

\begin{equation*} \begin{aligned} \\ \\ \amp \amp \eqnspacer \amp \text{Add $8$ to both sides} \\ \\ x \amp = -3 \amp \amp \text{Divide both sides by $5$} \end{aligned} \end{equation*}