  The Slope Conjecture proposed by Garoufalidis asserts that the degree of the
colored Jones polynomial determines a boundary slope, and its refinement, the
Strong Slope Conjecture proposed by Kalfagianni and Tran asserts that the
linear term in the degree determines the topology of an essential surface that
satisfies the Slope Conjecture. Under certain hypotheses, we show that twisted,
generalized Whitehead doubles of a knot satisfies the Slope Conjecture and the
Strong Slope Conjecture if the original knot does. Additionally, we provide a
proof that there are Whitehead doubles which are not adequate.
