Kinematic synthesis of mechanisms is generally divided into three groups. One of them is function synthesis. In function synthesis, the design of correlation of crank angles and dead dead-center position stand out. These problems have been clearly defined and solved separately. But in some cases, problems may be encountered that require both correlation of crank angles and dead dead-center design. Such problems are called mixed function generation problems. In this thesis, an overview of these mixed function generation problems has been given and many problems have been solved analytically or semi-analytically. The solutions of all problems including three positions for the four-bar mechanism and the solution of a problem including four positions for a four-bar mechanism have been addressed. A problem including 3 positions and a problem including 4 positions for a slider-crank mechanism have been addressed. All solutions have been reduced to univariate equation and a fast solution has been found. Thus, link lengths can be found quickly by changing the problem inputs. Numerical solutions of all problems have been demonstrated using Excel.