A multilayer film includes at least an abuse layer that is laser scored, and a sealant layer that has discrete weakened portions, due to the laser scoring. The multilayer film may have a tensile strength of between about 0.40 and 2.5 pounds per 10 millimeters at the location of the one or more weakened portions. In certain aspects, the tensile strength of the multilayer film is between about 7 and 14 pounds per inch at the location of the laser scoring on the abuse layer. Also, a package is provided that is formed from one or more multilayer films having a scored abuse layer and a sealant layer with weakened portions that allow steam and/or pressure to be vented from the package during heating. Optionally, the abuse layer includes a shallow scoring portion to provide an easy-open feature. For instance, the package may be used to cook frozen foods contained in the package, such as in a microwave oven.