Well, the teacher has made it harder, because the standard solubility rules tend to only cover carbonates and phosphates, and the H+ tends to muddy effects. It seems that calcium bicarbonate only exits in dilute solution, and that is an outlier, most others are insoluble or don't exist at all. The only conclusion I can come to is the teacher expects you to memorize all this, unless it was mentioned how H+ stabilizes the ions in solution.