The first year of LHC data has dramatically reduced the allowed parameter space for low-energy supersymmetry, given certain assumptions. In this talk I will summarize the current state of these experimental limits. I will then present an example of a class of models that evades the usual assumptions and so is not yet very constrained, called "Stealth Supersymmetry." These are models in which certain nearly-supersymmetric states present in decay chains lead to collider signatures without missing energy. I will discuss some specific examples of models in this class, and explain how the LHC might search for them.