The phrase "quick demonstration" is correct and usable in written English.
It can be used when referring to a brief or concise presentation or display of something.
Example: "Let me give you a quick demonstration of how this software works."
Alternatives: "brief showcase" or "short presentation."
Let me give you a quick demonstration".
She gave a quick demonstration: Give me somebody to dance for.
After a quick demonstration almost anyone would have no difficulty in taking one out.
The math virtuosos who comment on Numberplay were more than equal to the task, and we saw a quick demonstration by Julian and an elegant one by Pummy.
He hit upon an idea that he called "Kevincloud" and mocked up a quick demonstration of the idea for executives at Macromedia, a software development tools company.
She gives a quick demonstration in her Madrid sitting room, wearing the baggy clothes she has put on for a trip to her country farmhouse that afternoon.
Before we begin, Hans runs through a quick safety demonstration, complete with a PowerPoint presentation.
When asked what Konono's name means, he provides a quick physical demonstration: appropriately enough, given the ear-splitting volume of their performances, it seems to mean something roughly equivalent to "assume the crash position".
Wildcats are also often used to provide a quick and robust demonstration of workers' feelings on an issue or to apply a powerful form of pressure when management becomes intransigent during employer-union negotiations.
In a quick hands-on demonstration on the sidelines of CTIA, the Galaxy S looked fast and visually appealing.
We just met with Motorola for a quick hands on demonstration of the Evoke (video of which just so happens to be uploading now).
