variables = list, the variable(s) to solve for

equations = list, the initial expression

solutions = list, the solutions that are relevant

The SolveFeedback command is the procedure behind the SolvePractice command.  It analyzes a step-by-step solution to the given problem and provides feedback for each step of the solution.  It can also be called directly, or used behind the scenes for other interactive applications of your own design.

The solution argument, when part of an interactive canvas-based application, is a XML-based string representing a canvas, or a table representing the embedded component name mapping.  In this case, the returned result is a DocumentTools:-Canvas:-Script.

When called directly, solution can also be a list or array of expressions.  In this case, the returned result is a list of feedback strings.  The result has one extra string than the number of input steps, concluding with a (possibly empty) summary statement.

The variables = [x] option is useful to provide when the expression to solve for is multivariate.  This clarifies exactly which variable is to be solved for.   As of Maple 2020, the list must contain exactly one variable.

The solutions = [x=0] option allows you to specify which solutions are relevant to the given problem, in order to avoid feedback that prompts to solve for more solutions.

The equations = [...] option allows you to specify the initial expression, as opposed to showing it as the first expression in a canvas.  This way it is up to the user to come up with the equation themselves.

$\mathrm{with}\left(\mathrm{Grading}\right)\:$

$\mathrm{SolveFeedback}\left(\left[2x+3=4x-5\,2x-4x=-5-3\,-2x=-8\,x=4\right]\right)$

$\left[''''\,''ok''\,''ok''\,''Good\; job,\; this\; is\; the\; correct\; solution''\,''''\right]$

$\mathrm{SolveFeedback}\left(\left[2x+3=4x-5\,2x-4x=-5+3\,-2x=-2\,x=1\right]\right)$

$\left[''''\,''Check\; this\; step...''\,''consistent\; with\; previous\; step''\,''consistent\; with\; previous\; step''\,''no\; correct\; and\; fully\; simplified\; solution\; found;\; please\; try\; again''\right]$

$\mathrm{SolveFeedback}\left(\left[2x+y=4y\,2x=3y\,y=\frac{2}{3}x\right]\,\mathrm{variables}=\left[y\right]\right)$

$\left[''''\,''ok''\,''Good\; job,\; this\; is\; the\; correct\; solution''\,''''\right]$

$\mathrm{with}\left(\mathrm{Grading}\right)\:$

$\mathrm{with}\left(\mathrm{DocumentTools}:-\mathrm{Canvas}\right)\:$

$\mathrm{cv}≔\mathrm{NewCanvas}\left(\left[''An\; object\; is\; launched\; at\; 19.6\; meters\; per\; second\; (m/s)\; from\; a\; 58.8-meter\; tall\; platform.\; The\; equation\; for\; the\; object\text{'}s\; height\; s\; at\; time\; t\; seconds\; after\; launch\; is''\,s\left(t\right)=3.4220022349\times {10}^9{t}^2+19.6t+58.8\,''where\; s\; is\; in\; meters.\; When\; does\; the\; object\; strike\; the\; ground?''\,\mathrm{ScriptButton}\left(''Check\; Page''\,''Grading[SolveFeedback](\_canvas,equations=[t^2-4*t-12=0],variables=[t],solutions=[t=6]);''\,\mathrm{position}=\left[800\,90\right]\,\mathrm{encode}=\mathrm{false}\right)\right]\right)\:$

$\mathrm{ShowCanvas}\left(\mathrm{cv}\,\mathrm{input}=\left[''0\; =\; t^2\; -4*t\; -12''\,''0\; =\; (t-6)*(t+2)''\,''t=6''\right]\right)$

$\mathrm{SolveFeedback}\left(\left[''0\; =\; t^2\; -4*t\; -12''\,''0\; =\; (t-6)*(t+2)''\,''t=6''\right]\,\mathrm{equations}=\left[t^2-4t-12=0\right]\,\mathrm{variables}=\left[t\right]\,\mathrm{solutions}=\left[t=6\right]\right)$

$\left[''''\,''ok''\,''Good\; job,\; this\; is\; a\; correct\; solution''\,''Good\; job,\; you\; found\; the\; correct\; solution''\right]$

$\mathrm{ShareCanvas}\left(\mathrm{cv}\right)$

The Grading:-SolveFeedback command was introduced in Maple 2021.

For more information on Maple 2021 changes, see Updates in Maple 2021.