This volume is the companion volume to Fundamentals of the Theory of Operator Algebras. Volume I — Elementary Theory (Graduate Studies in Mathematics series, Volume 15). The goal of the text proper is to teach the subject and lead readers to where the vast literature — in the subject specifically and in its many applications — becomes accessible. The choice of material was made from among the fundamentals of what may be called the ``classical'' theory of operator algebras. This volume contains the written solutions to the exercises in the Fundamentals of the Theory of Operator Algebras. Volume I — Elementary Theory.