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This research aims to predict grade VIII students- thinking for the learning of system of linear equations in two variables. To achieve this, first, we surveyed algebra education literature and Indonesian school mathematics textbooks for collecting information about a learning sequence for the topic of system of linear equations in two variables. Second, based on the first step, we designed a sequence of learning for this topic according to the theory of realistic mathematics education and made predictions about student thinking process particularly on solving relevant problems in this topic. The results consisted of a sequence of algebra tasks and various predictions of student thinking for learning algebra. In conclusion, we consider that predictions of student thinking process can be used by the teacher for anticipating the actual learning process either for helping students who encountering difficulties or for teaching actions to invite students problem solving skills.