Algebraic solutions for the boundary-layer fluid flow and heat transfer over a permeable stretching and shrinking surface are obtained. Effects of velocity slip on the flowfield and those of temperature jump on the temperature field are taken into account. The flowfield and temperature field as well as skin friction and rate of heat transfer coefficients are derived in closed-form formulas. It is found that a unique flow solution exists for the stretching surface, whereas solutions are multiple for the shrinking surface. The rate of heat transfer is shown to be inversely proportional to the heat jump on the wall. All the physical effects are easy to understand from the presented analytical solutions.