The operation is performed on … sides of the equation., equal, both, whole , any, The main point is that there is no … solution., unique,  equal, left-hand, right-hand,  A … is assigned to one of the variables., equation,  function, value, relationship,  The … of a function is used in economics., convention, coordinate , side, concept, A function defines mutual … between variables., dependence, independence, convention ,  concept, We … this variable as being free., exist, measure ,  consider,  involve, The graph … from left to right., slopes, solves, replaces, serves, You may perform this operation on the equation, … the operation is performed on both sides of the equation., translated, increased , called , provided, … this reason the equation is called a function., Before,  For,  On, Above,  How can you translate the following equation into words: c = 2a + 4b?, there exist four numbers such that the first equals the sum of two times the second plus three times the third, there exist three numbers such that the first equals the sum of two times the second plus three times the third, there exist three numbers such that the first equals the sum of two times the second plus four times the third, Why are algebraic expressions so important?, because the translation into words is rather lengthy, because the translation into words is rather essential, because the translation into words is so certain, Why should you explore the concept of a function?,  because it involves two variables,  because it is widely used in economics,  because of the mutual dependence, What problem is important in economic analysis?, the problem of right-hand side of the equation and left-hand side of the equation,  the problem of relationships, the problem of dependent variable versus independent variable, Why can the graphical method of solving an equation never replace the algebraic method?, because a graph is drawn with complete accuracy, because a graph is never drawn with complete accuracy,  because a graph is a useful check on the accuracy of algebra.

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