This paper systematically surveys 43 groups of algebra terminology translations in the late Qing Dynasty mathematical translation Dai Shu Shu. These translations primarily employed free translation, with some terms exhibiting multiple translation variants. In terms of origin, the largest number of terms were adopted from earlier translated works. A diachronic analysis reveals that purely free-translated terms and disyllabic calqued had high retention rates, while polysyllabic calqued were less likely to be preserved. The characteristics of these translated terms are as follows: during the selection process, efforts were made to avoid semantic ambiguity, emphasizing internal systematicity and coordination with terminology from other mathematical disciplines, followed a localization strategy, and disyllabic translated terms possess stability.