// Numbas version: exam_results_page_options
{"name": "Morten's copy of Br\u00f8kregning med variable test", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"parts": [{"gaps": [{"vsetRangePoints": 5, "checkingType": "absdiff", "showCorrectAnswer": true, "failureRate": 1, "expectedVariableNames": [], "checkingAccuracy": 0.001, "checkVariableNames": false, "marks": 1, "unitTests": [], "answerSimplification": "std", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "vsetRange": [0, 1], "showPreview": true, "type": "jme", "answer": "({ee-b*c}x+{ee*a+b*d})/({b*ee}x)", "extendBaseMarkingAlgorithm": true, "scripts": {}, "customMarkingAlgorithm": "", "variableReplacements": []}], "prompt": "<p>Trekk sammen</p>\n<p>$\\displaystyle\\simplify{(x(x-{a})+(x+{b}))/((x+{b})*(x-{b}))}=$[[0]]</p>\n<p></p>", "steps": [{"variableReplacementStrategy": "originalfirst", "prompt": "<p><em>Utvid br&oslash;kene slik at de f&aring;r en felles nevner. Deretter kan du addere eller subtrahere.&nbsp;</em></p>\n<hr/>\n<p>(Husk &aring; forkorte hvis det er mulig)</p>", "showFeedbackIcon": true, "showCorrectAnswer": true, "type": "information", "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "scripts": {}, "marks": 0, "unitTests": [], "variableReplacements": []}], "variableReplacements": [], "sortAnswers": false, "marks": 0, "unitTests": [], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "stepsPenalty": "0", "type": "gapfill", "extendBaseMarkingAlgorithm": true, "scripts": {}, "customMarkingAlgorithm": "", "showCorrectAnswer": true}, {"gaps": [{"vsetRangePoints": 5, "checkingType": "absdiff", "showCorrectAnswer": true, "failureRate": 1, "expectedVariableNames": [], "checkingAccuracy": 0.001, "checkVariableNames": false, "marks": "1", "unitTests": [], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "vsetRange": [0, 1], "showPreview": true, "type": "jme", "answer": "({l}x+{j})/({g}x+{l})", "extendBaseMarkingAlgorithm": true, "scripts": {}, "customMarkingAlgorithm": "", "variableReplacements": []}], "prompt": "<p>Regn ut</p>\n<p>$\\displaystyle{\\frac{\\frac{x}{\\var{j}}+\\frac{1}{\\var{l}}}{\\frac{\\var{g}x}{\\var{j*l}}+\\frac{1}{\\var{j}}}} =$[[0]]</p>\n<p></p>", "steps": [{"variableReplacementStrategy": "originalfirst", "prompt": "<p>Finn fellesnevner for sm&aring;br&oslash;kene, og multipliser med denne over og under hovedbr&oslash;kstreken.</p>\n<hr/>\n<p>For eksempel:&nbsp;</p>\n<p style=\"text-align: center;\">\\[\\frac{\\frac{2x}{3}+\\frac{1}{5}}{\\frac{4x}{15}-\\frac{1}{3}}=\\frac{(\\frac{2x}{3}+\\frac{1}{5})\\cdot 15}{(\\frac{4x}{15}-\\frac{1}{3})\\cdot 15}=\\frac{2x\\cdot 5+1\\cdot3}{4x-1\\cdot 5}=\\frac{10x+3}{4x-5}\\]</p>\n<p style=\"text-align: left;\"></p>\n<p style=\"text-align: left;\"></p>", "showFeedbackIcon": true, "showCorrectAnswer": true, "type": "information", "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "scripts": {}, "marks": 0, "unitTests": [], "variableReplacements": []}], "variableReplacements": [], "sortAnswers": false, "marks": 0, "unitTests": [], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "stepsPenalty": "0", "type": "gapfill", "extendBaseMarkingAlgorithm": true, "scripts": {}, "customMarkingAlgorithm": "", "showCorrectAnswer": true}], "tags": [], "rulesets": {"": [], "std": ["all", "!collectNumbers", "fractionNumbers"]}, "functions": {}, "extensions": [], "advice": "<p>Learn from your mistakes and have another attempt by clicking on 'Try another question like this one' until you get full marks.</p>", "variablesTest": {"condition": "", "maxRuns": 100}, "statement": "<p>Regn ut og oppgi svaret ditt som en br&oslash;k eller et bokstavuttrykk. Bruk &nbsp;/ &nbsp;som br&oslash;kstrek, for eksempel skal $\\frac{x-2}{3}$ skrives som (x-2)/3&nbsp;og $\\frac{(x+1)}{(x-4)}$ som (x+1)/(x-4)</p>", "name": "Morten's copy of Br\u00f8kregning med variable test", "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p>Add, subtract, multiply and divide algebraic fractions.</p>"}, "variables": {"l": {"group": "numerical fractions", "templateType": "anything", "name": "l", "definition": "random(2..5 except j)", "description": ""}, "d": {"group": "numerical fractions", "templateType": "anything", "name": "d", "definition": "random(2..5)", "description": ""}, "c": {"group": "numerical fractions", "templateType": "anything", "name": "c", "definition": "random(2..5)", "description": ""}, "a": {"group": "numerical fractions", "templateType": "anything", "name": "a", "definition": "random(1..3)", "description": ""}, "b": {"group": "numerical fractions", "templateType": "anything", "name": "b", "definition": "random(2..6 except a)", "description": ""}, "j": {"group": "numerical fractions", "templateType": "anything", "name": "j", "definition": "random(2..5)", "description": ""}, "ee": {"group": "numerical fractions", "templateType": "anything", "name": "ee", "definition": "random(2..5 except b)", "description": ""}, "g": {"group": "numerical fractions", "templateType": "anything", "name": "g", "definition": "random(3..7)", "description": ""}}, "ungrouped_variables": [], "preamble": {"css": "", "js": ""}, "variable_groups": [{"variables": ["a", "b", "c", "d", "ee", "g", "j", "l"], "name": "numerical fractions"}], "type": "question", "contributors": [{"name": "Morten Brekke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/478/"}]}]}], "contributors": [{"name": "Morten Brekke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/478/"}]}