Dale, Frank -
No - QB will not score+snap as sheetrock does - not at all.
It can be cut with a utility knife, much the same way as Jan described cutting the Homasote, which is how I used to cut Homasote when I used it.
The QB does have a hard edge that perhaps runs about 1/4" into the sheet, and it is a bit harder to cut with the knife, but no big deal.
A straight edge and a utility knife work great for straight cuts and even for curved cuts, but it will be tiring doing the latter. A jigsaw with a knife-edge blade works great for curves, and for straights.
Knife Edge Blade: Bosch T113A3 4-Inch, Knife - $12 for three-pack at Amazon. (I bought two packs expecting that they would dull quickly, but have used only one blade so far! I resharpen it with a medium grit stone, and the slight serrations from the stone make the blade cut the QB even better than the original edge.)
The blades, whether utility knife or jigsaw blade, will load up with the QB resin. I used to wipe it off with lacquer thinner, but then found that it can more easily be scraped off with another knife - the coating falls right off the blade when scraped.
Good luck!
Alex
BTW, I checked the price of QB at Home Depot today (Wentzville, MO): $9.27/sheet