Igarashi and Kobayashi have proposed a general type system for checking whether resources such as files and memory are accessed in a valid manner. Their type system is, however, for call-by-value lambda-calculus with resource primitives, and does not deal with non-functional primitives such as exceptions and pointers. We extend their type system to deal with exception primitives and prove soundness of the type system. Dealing with exception primitives is especially important in practice, since many resource access primitives may raise exceptions. The extension is non-trivial: While Igarashi and Kobayashi's type system is based on linear types, our new type system is a combination of linear types and effect systems. We also report on a prototype analyzer based on the new type system.