Create equations in two or more variables and graph them with appropriate labels and scales.
Decide whether two equations represent the same relationship
Problem
Do these \(\text{two}~\text{equations}\) represent the same area relationship for a rectangle with side lengths \(x\) and \(x+3\)? Equation A: \(A=x(x+3)\). Equation B: \(A=x^2+3x\).
Big Picture
What this problem is really about
Different-looking equations can still describe the same relationship if one can be rewritten exactly as the other. We’ll distribute x across the full binomial in the factored area form and compare every resulting term with the expanded form, using an input check only as confirmation.
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