Commands in Aplusix
Mary can use only one command, the calculate command over integers (this is the choice of her teacher). For the “Expand and Simplify” exercise, she expands the expression and asks Aplusix to calculate the numbers.
After that, she collects the x² and the x and again asks Aplusix to calculate the numbers.
Now, she has finished. She has performed the algebraic transformations and has asked Aplusix to do the arithmetic.
Peter has to solve a quadratic equation. He cannot ask Aplusix to solve the equation because the “Solve” command is limited to first degree equations (this is a choice of the teacher). So, he factors out 2x+4 on the left hand side.
Then, he duplicates the step, selects the co-factor of 2x=4 and chooses “Expand and simplify” in the popup menu.
Aplusix expands and simplifies the selected expression.
Peter decomposes the equation into two first degree equations. Then he selects an equation and asks Aplusix to solve it.
Peter has asked Aplusix to solve both first degree equations.
Peter has to solve a system of equations. He duplicates the step, express z as a function of x and y in the first equation. Then he selects the right hand side of this equation (which is 11-2x-3y) and makes a copy with the popup menus. Then, he selects z in the second equation and makes a paste. Paste over a selection performs an algebraic substitution, that is why parentheses automatically appear. Then Peter does the same in the third equation.
Peter has selected the left hand side of the second equation and has asked Aplusix to expand and simplify. He did the same in the third equation.
Peter finishes the resolution using the same method.