Does the current always travel from the negative electrode to the positive electrode?

The correct answer to this question is True. This flow will always do this during the discharge of a battery. Ohm's law can help one understand this, as the law states that the flow means the current is proportional to that of the electric field.

The reason that this occurs is due to the charges. Electrons are negatively charged, which makes them attracted to the positive end of the battery. They must do this, for electrons are unable to move from one side to the other of the battery, without a chemical reaction from occurring. To eliminate this, they will always flow in this format.