Identify every candidate that is equivalent to \(3~-~(-5)\), starts at \(3\), represents the same signed change, and ends at the same value.
A. \(3~+~5\)
B. \(3~-~(-5)\)
C. Start at \(3\) and move \(5~\text{units}~\text{right}\).
D. Start at \(3\) and move \(5~\text{units}~\text{left}\).
E. \(3~-~5\)
F. Start at \(-5\) and move \(3~\text{units}~\text{right}\).
G. \(3~+~(-5)\)
H. Start at \(3\) and move \(8~\text{units}~\text{right}\).
What this problem is really about
First rewrite subtracting negative five as adding its opposite, and record the operation’s starting value, signed change, and endpoint. Test every candidate against all three features, because sharing one number or merely mentioning the endpoint is not enough. Equivalent symbolic and number-line forms must begin together, move by the same signed amount, and finish together.