The Math lessons for students have always been difficult if we speak generally. The students think they memorize the math formulas and just take the exams but no applications at all. Is there any way to teach math in a more compact form. Yes there is, the name of it is simple-sample explanation. In this study we will see the properties and use of simple-sample explanations to some algebraic problems. The students can see many of the properties of a certain formula in one form. This makes the student to remember all the necessary properties without memorizing. This new technique also makes you gain time in the learning process. This helps the teacher to make much more applications. This is what we need as a teacher. This method also develops the learners analytic thinking capabilities. (C) 2013 The Authors. Published by Elsevier Ltd. Selection and/or peer-review under responsibility of Academic World Education and Research Center.