This paper investigates the expectations that a group of preservice secondary mathematics teachers had for how students would approach four particular algebra problems. Their responses to a set of open-ended items were content analysed. Findings show that the teachers ranged in the expectations that they held for their students. Some teachers expected their students would approach the problems with more sophisticated problem-solving strategies, but many of the teachers expected that the students would only use less desirable "guess-and-check" strategies. We believe teachers' expectations for student strategies for problem-solving is a topic that warrants further investigation.