// Numbas version: exam_results_page_options
{"name": "Give a number which satisfies an equation", "extensions": [], "custom_part_types": [{"source": {"pk": 3, "author": {"name": "Christian Lawson-Perfect", "pk": 7}, "edit_page": "/part_type/3/edit"}, "name": "Give a numerical input for an expression", "short_name": "give-a-numerical-input-for-an-expression", "description": "<p>The student gives&nbsp;a point $x$ at which to evaluate a given function $f$. The answer is correct if $f(x)$ is the expected value.</p>", "help_url": "", "input_widget": "number", "input_options": {"correctAnswer": "settings[\"correctAnswer\"]", "hint": {"static": true, "value": ""}, "allowedNotationStyles": {"static": true, "value": ["plain", "en", "si-en"]}, "allowFractions": {"static": true, "value": true}}, "can_be_gap": true, "can_be_step": true, "marking_script": "mark:\nif(equal,\n   correct()\n,\n   incorrect(settings[\"student_value_description\"]+\" $\"+student_value+\"$.\")\n)\n\ninterpreted_answer:\nstudentAnswer\n\nstudent_value:\neval(settings[\"expression\"],[\"x\":studentAnswer])\n\nequal:\nwithintolerance(student_value,settings[\"expected_value\"],0.00001)", "marking_notes": [{"name": "mark", "description": "This is the main marking note. It should award credit and provide feedback based on the student's answer.", "definition": "if(equal,\n   correct()\n,\n   incorrect(settings[\"student_value_description\"]+\" $\"+student_value+\"$.\")\n)"}, {"name": "interpreted_answer", "description": "A value representing the student's answer to this part.", "definition": "studentAnswer"}, {"name": "student_value", "description": "", "definition": "eval(settings[\"expression\"],[\"x\":studentAnswer])"}, {"name": "equal", "description": "", "definition": "withintolerance(student_value,settings[\"expected_value\"],0.00001)"}], "settings": [{"name": "expected_value", "label": "Expected value", "help_url": "", "hint": "The value that the function should take at the given point.", "input_type": "code", "default_value": "", "evaluate": true}, {"name": "correctAnswer", "label": "Correct answer", "help_url": "", "hint": "The value that the student should write.", "input_type": "string", "default_value": "", "subvars": true}, {"name": "student_value_description", "label": "Description of the student's value", "help_url": "", "hint": "", "input_type": "string", "default_value": "The value at your point is", "subvars": true}, {"name": "expression", "label": "Function to evaluate", "help_url": "", "hint": "The function that will be applied to the student's number.<br />The student's number will be substituted for $x$ in this expression.", "input_type": "mathematical_expression", "default_value": "", "subvars": true}], "public_availability": "always", "published": true, "extensions": []}], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Give a number which satisfies an equation", "tags": [], "metadata": {"description": "<p>Shows how the \"give a number which satisfies an equation\" part type can be used to makr the student's number correct if it satisfies an equation of the form $f(x) = 0$.</p>", "licence": "None specified"}, "statement": "", "advice": "", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"x1,x2": {"name": "x1,x2", "group": "Ungrouped variables", "definition": "shuffle(-3..3)", "description": "", "templateType": "anything", "can_override": false}, "a,b,c": {"name": "a,b,c", "group": "Ungrouped variables", "definition": "[1, -x1-x2, x1*x2]", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["x1,x2", "a,b,c"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Solve for $x$:</p>\n<p>\\[ \\simplify{ {a}x^2 + {b}x + {c} } = 0 \\]</p>\n<p>$x = $ [[0]]</p>", "gaps": [{"type": "give-a-numerical-input-for-an-expression", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"expected_value": "0", "correctAnswer": "{x1}", "student_value_description": "The value at your point is", "expression": "{a}x^2 + {b}x + {c}"}}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}]}