Final answer:
The statement describes the process of active transport which is true; this energy-demanding process moves ions or molecules across the cell membrane against a concentration gradient, typically with ATP as the energy source.
Step-by-step explanation:
The statement "Movement of ions or molecules across cell membranes usually against a pressure gradient and with the expenditure of metabolic energy" is True. This process is known as active transport, which requires energy in the form of ATP to move substances against their concentration or electrochemical gradient. The classic example of this is the sodium-potassium pump which moves sodium ions out of cells and potassium ions into cells, staying true to the required cellular conditions despite the opposite concentration gradients.