Abstract: A flexible thermoplastic pouch having an easy-open tear strip means secured thereto is provided. According to one embodiment of the present invention, a tear strip is secured to an imperforate sidewall of a flexible pouch along two sawtooth securement lines arranged generally in the shape of an ellipse. The point where the two securement lines converge is give a W-shape, which provides two points of high stress concentration. When the user grasps and pulls the tear strip means, the securement lines rupture precisely at these two points of stress concentration and continue along the sawtooth securement lines, thereby providing the pouch with a dispensing opening of predetermined size, shape, and location. A sealing die apparatus for forming sawtooth, notched lines of securement between the tear strip means and the flexible pouch is alos disclosed.