The present invention is a weight exercise machine for use by a user. The machine comprises an exercise member, a plurality of weights, and an index. The user exerts an exercise force against the exercise member when using the machine to exercise. The index is rotated to operably couple the exercise member to at least one of the weight plates such that the displacement of the exercise member causes the at least one of the weight plates to displace. The plurality of weight plates includes a first weight plate type and a second weight plate type having configurations and masses that differ. The index allows selection of different combinations of weight plates for operable coupling to the exercise member.