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Manipulating an expression and solving an equation

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How does solving an equation differ from manipulating an expression? How are they alike?

Very few situations in the real world fit a linear pattern or even a non-linear pattern perfectly. How can we tell if the algebraic model we are using fits the situation "good enough?"

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Manipulating an expression and solving an equation are correlated.

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How does solving an equation differ from manipulating an expression? How are they alike?

When manipulating equations, each side of the equation must be manipulated in the same way. If you divide one side of an equation by 3, you must divide the other side by 3. You will change the form of the equation—that's the point ...

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