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You can compare the Casio interface with a web-mask. Plug in p and q and get the solutions to your quadratic equation. If there is no mask, you're out of luck.

The TIs instead work on the basis of functions like from a programming library. Their equivalent might be a BASH shell with pipes. That is cumbersome on the first glance but incomparably more powerful. You can chain an arbitrary amount of functions.

I once finished a 3-hour exam in 20 min since most of the questions could be translated to a like 5-lines long function-chain that took like a minute to calculate on 10 MHz but were correct in the end.