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The purpose of this study is to analyze students problem solving ability by using polya steps in linear program material. This was a descriptive study that used a qualitative approach with 103 students of XI grade at SMA Negeri 1 Kota Bumi as the subject of the study. The data was collected through the technique of a written test, which consisted of two questions. The result of the research showed that the ability of problem solving in students of grade XI in SMA Negeri 1 Kota Bumi was good, which were 17 students or 16,50% was very good at problem solving, 53 students or 51,47% was good at problem solving, 28 students or 27,18% was quite good at problem solving, and 5 students or 4,58% was not so good at problem solving. Moreover, the result of each indicator of problem solving ability was the indicator of understanding the problem was 87,86%, the indicator of arranging the plan was 45,99%, the indicator of implementing the plan was 39,31%, and the indicator of rechecking was 34,91%.