It depends on the plastic. Red Solo-style party cups are #6 polystyrene, which isn't recyclable — trash. Clear disposable cups are often #1 (PET) or #5 and may be accepted if your program takes those rigid plastics, but they're frequently too flimsy or too small to sort, so the safe answer is usually the trash.
📷 Scan an item with your phoneFlip the cup over and look for the resin code (1–7). #1 or #5 clear rigid cups may be recyclable where your program accepts them; #6 (including red Solo cups and clear crystal-style cups) is not. No number, black, or very thin/flimsy → trash.
Disposable drink cups are lightweight and often a low-value or unaccepted plastic, so many recyclers screen them out. Cups with drink residue, straws, or lids attached are even less likely to be recycled.
A reusable cup avoids the question entirely. For a party, look for cups labeled recyclable #1/#5 or certified-compostable (which need a commercial composter, not the blue cart).
Can you recycle plastic strawsCan you recycle drinking glassesWhat can I recycle?
Not sure about something else? Point your camera at it and RecycleLens tells you the right bin.