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Such functions are called linear, for reasons that I'll explain soon enough (well, we generally want another condition for linear functions involving scalar multiples of the variable, but I'll ...
The equation 3 j 6 = 9 can be shown on a function machine by writing out the functions that have been applied to j in the order they happened. BIDMAS means multiplication happens before subtraction.
There exists an extensive range of research looking at the teaching and learning of linear equations, resulting in many papers highlighting a range of teaching approaches and illustrating a variety of ...
ALBERT J. SIMONE, A FORTRAN PROGRAM FOR A RECURSION FORMULA FOR SIMULTANEOUS LINEAR EQUATIONS, The Mathematics Teacher, Vol. 60, No. 5 (MAY 1967), pp. 452-458 ...