Cover adjacent areas with drop cloths to protect them from debris and glass dust. Wear safety glasses and gloves to protect from shards of glass during the tile removal.
Cut any caulk joints with the utility knife. Caulk will be used with glass tiles in any 90-degree angle, such as corners, or where a counter and backsplash meet.
Place the utility knife into a joint between two tiles at a 45-degree angle, pointing away from your body. Hit the top of the utility knife with a hammer as gently as possible to break the glass tile and its mortar away from the wall. Glass tile uses very little mortar to adhere to walls--only a latex modified thin set--and so excessive force shouldn't be necessary.
Place the end of the pry bar into the gap made by the removal of one or two tiles. Try to get the pry bar underneath the tiles to be removed, and apply pressure by pushing down on the end of the bar to pop the tiles free.
Remove stubborn tiles by inserting the end of the utility knife behind the tile and hitting it with the hammer.
Scrap any remaining mortar from the walls with the 6-inch razor blade to prepare the surface for fresh tiles.