Whatever lens you put on your camera is whatever focal length is on the lens, as focal length is derived from the distance between the lens and the image sensor/film, usually stated in millimetres. That doesn't change whether the lens is on a DX or FX camera. On a DX camera you are just getting
a cropped portion of the image projected on to the sensor.
On a cropped (DX, APS-C) sensor camera you multiply the focal length on the lens by 1.5 (by 1.6 for Canon) to get what the equivalent focal length of the lens you would need to put on a FX camera to get the same view. So as you say, a 50mm on a DX camera gives the same view as a 75mm on a FX sensor camera would.
So a 35mm lens is a 35mm lens, but on a DX camera you add half the focal length, or multiply by 1.5, to get what the cropped view you are getting would be equivalent to on a FX camera, so 35mm x 1.5 = 52.2mm. Your 18-55mm lens gives you the equivalent view of 27-82.5mm lens on a FX camera. So even though your lens is designed for a DX camera, the focal length is what it is because of the design of the lens, and the distance of the lens to sensor distance or film plane.
I wouldn't worry too much about what is equivalent to what. :shrug: You just need to get used to the views you get on your camera with the lenses you have. Do you need something wider, or something more telephoto? :shrug: If you are thinking of getting a prime lens, then for most of the common focal lengths, 28mm, 35mm, and 50mm, you can check whether they are what you want on the kit lens by zooming to that focal length and seeing the view you get.
A lot of people say get the 50mm f1.8 as a good cheap prime lens, which is fine, but if you have experience of a film SLR or full frame sensor camera with a 50mm lens, then a 50mm lens on a DX camera may be too telephoto for some as it gives a view equivalent 75mm view on an FX camera. A 35mm lens may give them the 50mm view (on a film camera) they are used to, as as I wrote earlier, the view of a 35mm lens on a DX camera gives the equivalent view of 52.7mm lens on a FX camera, which is close to 50mm.
Sorry to waffle. :shrug: It used to confuse and worry me when I started with DX cameras, coming from a film SLR background, but you get used to the view of the various focal lengths on the DX cameras.
Edit; Just saw I took a bit too long to reply, and was beaten to it.
