AnswerIsSolutionToEquation

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Answer is any Solution to an Equation


This PG code shows how to check student answers that can be any point satisfying an equation.

Problem Techniques Index

PG problem file Explanation
DOCUMENT();

loadMacros(
"PGstandard.pl",
"MathObjects.pl",
"parserSolutionFor.pl",
);

TEXT(beginproblem());

Initialization: We need to include the macros file parserDifferenceQuotient.pl.

Context("Vector")->variables->are(x=>'Real',y=>'Real');
$f = SolutionFor("x^2 = cos(y)","(1,0)");

#$f = SolutionFor("x^2 - y = 0",[2,4]);
#$f = SolutionFor("x^2 - y = 0",Point(4,2),vars=>['y','x']);

Setup: The routine SolutionFor("equation",point,options) takes an equation, a point that satisfies that equation, and options such as vars=>['y','x'] in case you want to change the order in which the variables appear in order pairs (the default is lexicographic ordering of the variables).

Context()->texStrings;
BEGIN_TEXT
A solution to \($f->{f}\) is \((x,y)\) = \{ans_rule(30)\}.
END_TEXT
Context()->normalStrings;

Main Text: We can use $f->{f} to get the Formula object of the equation, and $f->(point) to determine if the given point is solution to the equation or not.

$showPartialCorrectAnswers = 1;

ANS( $f->cmp() );

ENDDOCUMENT();

Answer Evaluation: As is the answer.

Problem Techniques Index


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