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Worksheet Worksheet 1

1.

Consider the expression \((x + 2)(x - 5)\text{.}\) Describe the "big picture" perspective of the expression and put boxes around the terms as appropriate.

2.

Consider the expression \(x + 2(x - 5)\text{.}\) Describe the "big picture" perspective of the expression and put boxes around the terms as appropriate.

3.

Determine whether you think the following equation is valid. Explain your reasoning.

\begin{equation*} \sin(x + y) = \sin(x) + \sin(y) \end{equation*}

4.

Solve the equation \(x \ln(2) + 3 = -4\text{.}\) Do it once using a substitution for then do it without a that substitution. Use a complete presentation both times.