The article considers the matter of realization the competence approach while preparing the 9-th form pupils for solving equitations and inequalities during the state final certification in Maths. In the context of reform of mathematical education, building a personality oriented mathematical training systems is important to the implementation of competence approach to training. The need to implement the competency approach has declared a common criteria evaluation of academic achievements of the pupils in secondary education, which were approved by the Ministry of Education, Science, Youth and Sports of Ukraine. At the same time, the deficiencies remain contradiction between having a solid theoretical scientific achievements of the problems and the lack of the competence approach ways of its implementation in school practice; between the goals and objectives of mathematics education aimed at forming system knowledge, intellectual development, cognitive activity of the pupils on formation of their key and mathematical competencies and inadequate methodological support, the lack of specific guidelines necessary for solving these problems. This causes the relevance of scientific evidence means to implement the competency approach in the school mathematical education. State final certification (STC) in mathematics has become an inherent part of the process of graduation in primary school. At various times the collections of tasks for DPA included only the task of algebra or with algebra and geometry. One of the main lines of content of school course of algebra is a line equations and inequalities, which has an extensive system of interdiscipline connections with other lines of course. So traditionally equations and inequalities are well represented in the state final certification tasks in mathematics. But the results of these tasks in recent years has significantly deteriorated, making the actual problem definition and justification opportunities to improve the methods of studying equations and inequalities in the course of algebra competency-based approach. The analysis of the tasks of STC indicates that each of the four parts of the collection has tasks that are directly related to the content line equations and inequalities (resolve or investigate equation (inequality) or system plot the equation (inequality, systems of equations) to solve word problems, reduced to equations or systems of equations. An urgent and important is the development of the guidelines for the preparation of the pupilts for solving the problems of state final certification from all lines of the mathematics content of basic school.