Letbe an affine algebra over a fieldkof characteristic 0, and letbe the standard filtration onA. Consider the graded algebras associated with, the associated graded algebra ofA, and, the Rees algebra ofA. It is proved thatAis a solvable polynomial algebra within the sense of [K-RW] if and only ifG(A) is a solvable polynomial algebra withif and only ifis a solvable polynomial algebra withSuppose thatAis a solvable polynomial algebra with, LetLbe a left ideal ofAand. It is proved thatFis a (left) Groebner basis forLin the sense of [K-RW] if and only if, is a (left) Groebner basis forG(L) inG(A) if and only ifis a (left) Groebner basis for, whereG(L) resp.is the associated graded left ideal ofLinG(A) resp. the associated graded left ideal ofLinwith respect to the filtrationFLinduced byFAonL, and theresp.are corresponding homogeneous elements of theinG(L) resp. in. Examples of applications of this filtered-graded transfer method to some popular algebras are given.