DescriptionWe apply a result of Ram and Yip in order to give a combinatorial formula in terms of alcove walks for type A SSV (quasi-)polynomials, a recent generalization of Macdonald polynomials and metaplectic Iwahori Whittaker functions due to Sahi, Stokman, and Venkateswaran. This formula allows us to characterize the support of the SSV polynomials and give alcove walk formulas for metaplectic Iwahori Whittaker functions and symmetrized SSV polynomials. We then prove a Littlewood-Richardson rule for the product of a Macdonald polynomial and an SSV polynomial, directly generalizing Yip's results for Macdonald polynomials. We conclude by translating the main results into the metaplectic setting and stating the correspondence between SSV polynomials and metaplectic Iwahori Whittaker functions, part of which is due to Sahi, Stokman, and Venkateswaran. In this setting, we obtain a result comparing the support of SSV polynomials with different metaplectic degrees. Many of the author's results in this thesis also appear in an earlier paper.