Does the 18-55mm from the d3100 works with the d7000?

So i'm selling my D3100 for the D7000. I want to know if the 18-55mm works with the d7000 to see if i only buy the body only. My other question is if all the nikkor lenses work with all the nikon cameras? And if my Sigma 70-300 and my nikkor 50mm 1.8d works with the D7000 also.

Yes.

In fact any Nikkor AF-S, AF-I or AF lens will work with a D7000.

You can also use any Nikkor manual focus AI lens if you are willing to manually focus it

It will work. All digital Nikon lenses will work will all Nikon digital SLR's.

http://www.kenrockwell.com/...s.htm#dslr