The laptop is able to suspend. After resuming from suspend, there is simply no display, the screen remains off. Based on all the other answers, I have tried the various Ctrl+Alt+Fn (1 - 12) combinations as well as Ctrl+Alt+Del. There is no terminal, no error message, no nothing. The only thing that does happen is the fans go louder and faster.
The model/make of the laptop is HP 630 Notebook PC.