// Numbas version: finer_feedback_settings
{"name": "PreCal Solving Rational Equations", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"rulesets": {}, "preamble": {"js": "", "css": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "variable_groups": [], "tags": [], "ungrouped_variables": ["A", "B", "C", "D", "F", "aq", "bq", "cq", "discr", "xVal1", "xVal2"], "functions": {}, "name": "PreCal Solving Rational Equations", "advice": "", "metadata": {"licence": "All rights reserved", "description": ""}, "extensions": [], "variables": {"D": {"definition": "1", "templateType": "anything", "group": "Ungrouped variables", "name": "D", "description": ""}, "F": {"definition": "1", "templateType": "anything", "group": "Ungrouped variables", "name": "F", "description": ""}, "aq": {"definition": "C", "templateType": "anything", "group": "Ungrouped variables", "name": "aq", "description": ""}, "xVal2": {"definition": "precround((-bq+sqrt(discr))/(2*aq),3)", "templateType": "anything", "group": "Ungrouped variables", "name": "xVal2", "description": ""}, "A": {"definition": "random(-5..5 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "A", "description": ""}, "xVal1": {"definition": "precround((-bq-sqrt(discr))/(2*aq),3)", "templateType": "anything", "group": "Ungrouped variables", "name": "xVal1", "description": ""}, "bq": {"definition": "(C*A+C*B)-(D+F)", "templateType": "anything", "group": "Ungrouped variables", "name": "bq", "description": ""}, "C": {"definition": "random(2..5)", "templateType": "anything", "group": "Ungrouped variables", "name": "C", "description": ""}, "discr": {"definition": "bq^2-4*aq*cq", "templateType": "anything", "group": "Ungrouped variables", "name": "discr", "description": ""}, "cq": {"definition": "A*B*C-(D*B+F*A)", "templateType": "anything", "group": "Ungrouped variables", "name": "cq", "description": ""}, "B": {"definition": "random(-5..5 except A)", "templateType": "anything", "group": "Ungrouped variables", "name": "B", "description": ""}}, "parts": [{"showFeedbackIcon": true, "type": "jme", "prompt": "<p>The solution(s) are:</p>\n<p><em>Your answer should be in set notation of the form:&nbsp;<strong>set(x1,x2)</strong></em></p>\n<p><em>Round your answer(s) the nearest thousandths.</em></p>", "showPreview": true, "variableReplacements": [], "vsetRangePoints": 5, "failureRate": 1, "customName": "", "answer": "set({xVal1},{xVal2})", "showCorrectAnswer": true, "unitTests": [], "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "vsetRange": [0, 1], "variableReplacementStrategy": "originalfirst", "valuegenerators": [], "useCustomName": false, "checkingType": "dp", "adaptiveMarkingPenalty": 0, "checkingAccuracy": 3, "marks": 1, "scripts": {}, "checkVariableNames": false}], "statement": "<p>Solve the following equation:</p>\n<p>$\\simplify{&nbsp;{D}/(x+{A}) + {F}/(x+{B})={C}&nbsp; }$</p>", "type": "question", "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}]}], "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}