You have to be careful with some colors, such as green. If the background has a lot of light on it then it could cast it's color on the main subject. If you cast white on the main subject, well, alls good. If your skin on a person looks green, then you have a problem.
The key is the white background is not a highly reflective white.
And you shouldn't be using a direct lightbulb to light something. That light needs to be diffused (shoot through umbrellas are okay, reflective umbrellas better, Brollys - reflective with diffuser even better; as you get more and more complex.
The diffusion doesn't allow a direct light but scatters it. The more diffusion, the better.
there's a newer version than this==>
http://www.amazon.com/gp/product/0240812255?psc=1&redirect=true&ref_=oh_aui_detailpage_o03_s00
you can also Gel a background (blue, green, what ever color) when you use a background strobe/flash. A normal setup for a person has a Key, Fill, Hair, background lights which vary in intensity (or use of reflectors, etc).
If we had a better idea of your setup and purpose with some examples we could help more.