This booklet grew out of a half-day class on equating that author Samuel Livingston teaches for new statistical staff at Educational Testing Service (ETS). The class is a nonmathematical introduction to the topic, emphasizing conceptual understanding and practical applications. The class consists of illustrated lectures, interspersed with self-tests for the participants. Livingston has included the self-tests in this booklet, at roughly the same points as they occur in the class. The answers are in a separate section at the end of the booklet. The topics in this second edition include raw and scaled scores, linear and equipercentile equating, data collection designs for equating, selection of anchor items, equating constructed-response tests (and other tests that include constructed-response questions), and methods of anchor equating. Livingston begins by assuming that the participants do not even know what equating is. By the end of the class, Livingston is explaining the logic of the Tucker method of equating and what conditions cause it to be biased.