Difference between revisions of "AnswerUpToMultiplication1"

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(add historical tag and give links to newer problems.)
 
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{{historical}}
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  +
<p style="font-size: 120%;font-weight:bold">This problem has been replaced with [https://openwebwork.github.io/pg-docs/sample-problems/Algebra/StringOrOtherType.html a newer version of this problem]</p>
  +
  +
 
<h2>Answer is a Function up to Multiplication by a Nonzero Constant</h2>
  
<h2>Answer is a Function up to Multiplication by a Nonzero Constant</h2>
   
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</p>
  
</p>
 
* File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Precalc/AnswerUpToMultiplication1.pg FortLewis/Authoring/Templates/Precalc/AnswerUpToMultiplication1.pg]
  
* File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Precalc/AnswerUpToMultiplication1.pg FortLewis/Authoring/Templates/Precalc/AnswerUpToMultiplication1.pg]
  +
* PGML location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Precalc/AnswerUpToMultiplication1_PGML.pg FortLewis/Authoring/Templates/Precalc/AnswerUpToMultiplication1_PGML.pg]
   
 
<br clear="all" />
  
<br clear="all" />
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<tr valign="top">
  
<tr valign="top">
−
<th> PG problem file </th>
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<th style="width: 40%"> PG problem file </th>
 
<th> Explanation </th>
  
<th> Explanation </th>
 
</tr>
  
</tr>
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loadMacros(
  
loadMacros(
−
"PGstandard.pl",
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'PGstandard.pl',
−
"MathObjects.pl",
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'MathObjects.pl',
−
"AnswerFormatHelp.pl",
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'PGML.pl',
  +
'PGcourse.pl'
 
);
  
);
   
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<td style="background-color:#ffffdd;border:black 1px dashed;">
  
<td style="background-color:#ffffdd;border:black 1px dashed;">
 
<pre>
  
<pre>
−
Context("Numeric");
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Context('Numeric');
   
−
$aSolution = Compute("(x-2)(x+1)");
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$sol_str = '(x-2)*(x+1)';
  +
  +
$ans = Compute($sol_str)->cmp(checker => sub {
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my ( $correct, $student, $self ) = @_;
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my $context = Context()->copy;
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return 0 if $student == 0;
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$context->flags->set(no_parameters=>0);
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$context->variables->add('C0'=>'Parameter');
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my $c0 = Formula($context,'C0');
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$student = Formula($context,$student);
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$correct = Formula($context,"$c0 * $sol_str");
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return $correct == $student;
  +
});
 
</pre>
  
</pre>
 
</td>
  
</td>
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<p>
  
<p>
 
<b>Setup:</b>
 
<b>Setup:</b>
  +
</p>
  +
<p>
  +
We use a local context with an adaptive parameter to check the answer. For more on adaptive parameters, see [http://webwork.maa.org/wiki/AdaptiveParameters AdaptiveParameters]. This builds a custom checker that checks if the student answer is a parameter <code>C0</code> multiple of the correct answer in <code>$sol_str</code>.
 
</p>
  
</p>
 
</td>
  
</td>
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<td style="background-color:#ffdddd;border:black 1px dashed;">
  
<td style="background-color:#ffdddd;border:black 1px dashed;">
 
<pre>
  
<pre>
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Context()->texStrings;
  
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BEGIN_PGML
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BEGIN_TEXT
  
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Find a quadratic equation in terms of the variable
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Find a quadratic equation in terms of the variable
 
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[` x `] with roots [` -1 `] and [` 2 `].
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\( x \) with roots \( -1 \) and \( 2 \).
  
  +
−
$BR
  
  +
[` y = `] [______________]{$ans}
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$BR
  
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−
\( y = \) \{ ans_rule(20) \}
  
  +
[@ helpLink('formulas') @]*
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\{ AnswerFormatHelp("formulas") \}
  
  +
END_PGML
−
END_TEXT
  
−
Context()->normalStrings;
  
 
</pre>
  
</pre>
 
<td style="background-color:#ffcccc;padding:7px;">
  
<td style="background-color:#ffcccc;padding:7px;">
 
<p>
  
<p>
 
<b>Main Text:</b>
  
<b>Main Text:</b>
−
</p>
  
−
</td>
  
−
</tr>
  
−  
−
<!-- Answer evaluation section -->
  
−  
−
<tr valign="top">
  
−
<td style="background-color:#eeddff;border:black 1px dashed;">
  
−
<pre>
  
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$showPartialCorrectAnswers = 1;
  
−  
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ANS( $aSolution->cmp(checker => sub {
  
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my ( $correct, $student, $self ) = @_;
  
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my $context = Context()->copy;
  
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return 0 if $student == 0;
  
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$context->flags->set(no_parameters=>0);
  
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$context->variables->add('C0'=>'Parameter');
  
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my $c0 = Formula($context,'C0');
  
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$student = Formula($context,$student);
  
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$correct = Formula($context,"$c0 * $aSolution");
  
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return $correct == $student;
  
−
}
  
−
) );
  
−
</pre>
  
−
<td style="background-color:#eeccff;padding:7px;">
  
−
<p>
  
−
<b>Answer Evaluation:</b>
  
−
We use a local context with an adaptive parameter to check the answer. For more on adaptive parameters, see [http://webwork.maa.org/wiki/AdaptiveParameters AdaptiveParameters] When <code>$aSolution</code> is "complicated", you may need to replace <code>$c0 * $aSolution</code> in the custom answer checker by its value <code>$c0 * (x-2)(x+1)</code> in order to get things to work correctly.
  
 
</p>
  
</p>
 
</td>
  
</td>
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<td style="background-color:#ddddff;border:black 1px dashed;">
  
<td style="background-color:#ddddff;border:black 1px dashed;">
 
<pre>
  
<pre>
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Context()->texStrings;
  
  +
BEGIN_PGML_SOLUTION
−
BEGIN_SOLUTION
  
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${PAR}SOLUTION:${PAR}
  
 
Solution explanation goes here.
  
Solution explanation goes here.
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END_SOLUTION
  
  +
END_PGML_SOLUTION
−
Context()->normalStrings;
  
−  
−
COMMENT('MathObject version.');
  
   
 
ENDDOCUMENT();
  
ENDDOCUMENT();

Latest revision as of 05:07, 18 July 2023

This article has been retained as a historical document. It is not up-to-date and the formatting may be lacking. Use the information herein with caution.

This problem has been replaced with a newer version of this problem


Answer is a Function up to Multiplication by a Nonzero Constant

Click to enlarge

This PG code shows how to


Templates by Subject Area

PG problem file Explanation

Problem tagging data

Problem tagging: 

DOCUMENT();

loadMacros(
  'PGstandard.pl',
  'MathObjects.pl',
  'PGML.pl',
  'PGcourse.pl'
);

TEXT(beginproblem());

Initialization: 

Context('Numeric');

$sol_str = '(x-2)*(x+1)';

$ans = Compute($sol_str)->cmp(checker => sub {
    my ( $correct, $student, $self ) = @_;
    my $context = Context()->copy;
    return 0 if $student == 0;
    $context->flags->set(no_parameters=>0);
    $context->variables->add('C0'=>'Parameter');
    my $c0 = Formula($context,'C0');
    $student = Formula($context,$student);
    $correct = Formula($context,"$c0 * $sol_str");
    return $correct == $student;
  });

Setup:

We use a local context with an adaptive parameter to check the answer. For more on adaptive parameters, see AdaptiveParameters. This builds a custom checker that checks if the student answer is a parameter C0 multiple of the correct answer in $sol_str. 

BEGIN_PGML
Find a quadratic equation in terms of the variable
[` x `] with roots [` -1 `] and [` 2 `].

[` y = `] [______________]{$ans}

[@ helpLink('formulas') @]*
END_PGML

Main Text: 

BEGIN_PGML_SOLUTION
Solution explanation goes here.
END_PGML_SOLUTION

ENDDOCUMENT();

Solution:

Templates by Subject Area

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