// Numbas version: exam_results_page_options
{"name": "Kjell Gunnar's copy of Algebra. Algebraic fractions. Addition, subtraction, mult and division", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"preamble": {"css": "", "js": ""}, "tags": [], "variables": {"b": {"templateType": "anything", "definition": "random(2..9)", "name": "b", "group": "Ungrouped variables", "description": ""}, "c": {"templateType": "anything", "definition": "random(2..9)", "name": "c", "group": "Ungrouped variables", "description": ""}, "f": {"templateType": "randrange", "definition": "random(2..12#1)", "name": "f", "group": "Ungrouped variables", "description": ""}, "a": {"templateType": "anything", "definition": "[2,3,4,5]", "name": "a", "group": "Ungrouped variables", "description": ""}, "d": {"templateType": "anything", "definition": "random(2..15)", "name": "d", "group": "Ungrouped variables", "description": ""}}, "variablesTest": {"maxRuns": 100, "condition": ""}, "statement": "<p>Express the following as a single fraction.</p>", "functions": {}, "extensions": [], "variable_groups": [], "rulesets": {}, "ungrouped_variables": ["a", "b", "c", "d", "f"], "parts": [{"vsetRange": [0, 1], "prompt": "<p>\\[ \\frac{\\var{a}}{x} + \\frac{1}{\\var{b}x} \\]</p>", "vsetRangePoints": 5, "showPreview": true, "variableReplacements": [], "scripts": {}, "failureRate": 1, "extendBaseMarkingAlgorithm": true, "checkingAccuracy": 0.001, "answer": "({a*b}+1)/({b}x)", "answerSimplification": "all", "expectedVariableNames": [], "showCorrectAnswer": true, "marks": 1, "checkingType": "absdiff", "showFeedbackIcon": true, "type": "jme", "checkVariableNames": false, "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "unitTests": []}, {"vsetRange": [0, 1], "prompt": "<p>\\[ \\frac{\\var{c}}{x} -&nbsp;\\frac{\\var{a}}{\\var{d}} \\]</p>", "vsetRangePoints": 5, "showPreview": true, "variableReplacements": [], "scripts": {}, "failureRate": 1, "extendBaseMarkingAlgorithm": true, "checkingAccuracy": 0.001, "answer": "({c*d}-{a}*x)/({d}x)", "answerSimplification": "all", "expectedVariableNames": [], "showCorrectAnswer": true, "marks": 1, "checkingType": "absdiff", "showFeedbackIcon": true, "type": "jme", "checkVariableNames": false, "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "unitTests": []}, {"vsetRange": [0, 1], "prompt": "<p>\\[ \\frac{\\var{a}}{x} \\times&nbsp;\\frac{\\var{d}}{\\var{b}y} \\]</p>", "vsetRangePoints": 5, "showPreview": true, "variableReplacements": [], "scripts": {}, "failureRate": 1, "extendBaseMarkingAlgorithm": true, "checkingAccuracy": 0.001, "answer": "({a*d})/({b}x*y)", "answerSimplification": "all", "expectedVariableNames": [], "showCorrectAnswer": true, "marks": 1, "checkingType": "absdiff", "showFeedbackIcon": true, "type": "jme", "checkVariableNames": false, "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "unitTests": []}, {"vsetRange": [0, 1], "prompt": "<p>\\[ \\frac{\\var{d}}{x} \\div&nbsp;\\frac{\\var{c}}{\\var{a}y} \\]</p>", "vsetRangePoints": 5, "showPreview": true, "variableReplacements": [], "scripts": {}, "failureRate": 1, "extendBaseMarkingAlgorithm": true, "checkingAccuracy": 0.001, "answer": "({a*d}y)/({c}x)", "answerSimplification": "all", "expectedVariableNames": [], "showCorrectAnswer": true, "marks": 1, "checkingType": "absdiff", "showFeedbackIcon": true, "type": "jme", "checkVariableNames": false, "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "unitTests": []}, {"vsetRange": [0, 1], "prompt": "<p><span style=\"display: inline !important; float: none; background-color: transparent; color: #000000; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;\">\\[ \\dfrac{\\var{a}}{x} + \\dfrac{1}{(\\var{c} -\\var{f}x)} \\]</span></p>", "vsetRangePoints": 5, "showPreview": true, "variableReplacements": [], "scripts": {}, "failureRate": 1, "extendBaseMarkingAlgorithm": true, "checkingAccuracy": 0.001, "answer": "({a*c} + {1 - a*f}*x)/(x*({c} -{f}x))", "answerSimplification": "all", "expectedVariableNames": [], "showCorrectAnswer": true, "marks": 1, "checkingType": "absdiff", "showFeedbackIcon": true, "type": "jme", "checkVariableNames": false, "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "unitTests": []}, {"vsetRange": [0, 1], "prompt": "<p><span style=\"display: inline !important; float: none; background-color: transparent; color: #000000; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;\">\\[ \\frac{\\var{c}}{(\\var{d} + y)} - \\frac{\\var{b}}{(\\var{a} + x)}\\]</span></p>", "vsetRangePoints": 5, "showPreview": true, "variableReplacements": [], "scripts": {}, "failureRate": 1, "extendBaseMarkingAlgorithm": true, "checkingAccuracy": 0.001, "answer": "({a*c -b*d} + {c}x - {b}y)/(({d} + y)*({a} + x))", "answerSimplification": "all", "expectedVariableNames": [], "showCorrectAnswer": true, "marks": "2", "checkingType": "absdiff", "showFeedbackIcon": true, "type": "jme", "checkVariableNames": false, "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "unitTests": []}], "name": "Kjell Gunnar's copy of Algebra. Algebraic fractions. Addition, subtraction, mult and division", "advice": "<p>See Lecture 3.1 and Workshop 3.2 for background and examples.</p>\n<p>If the examples I used are not helpful, then try&nbsp;https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions.&nbsp; Note that the phrase `rational expression' basically means `algebraic fraction'.</p>", "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p>Practice with adding, subtracting and dividing basic algebraic fractions</p>"}, "type": "question", "contributors": [{"name": "Jinhua Mathias", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/514/"}, {"name": "Katy Dobson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/854/"}, {"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}, {"name": "Kjell Gunnar Boldermo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2904/"}]}]}], "contributors": [{"name": "Jinhua Mathias", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/514/"}, {"name": "Katy Dobson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/854/"}, {"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}, {"name": "Kjell Gunnar Boldermo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2904/"}]}