// Numbas version: exam_results_page_options
{"name": "Despeje de variable", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"rulesets": {}, "extensions": [], "variablesTest": {"condition": "{a}*{d}>{c}*{b}", "maxRuns": 100}, "statement": "<p>Despeje $V$ en la siguiente ecuaci&oacute;n:</p>\n<p>&nbsp; &nbsp; &nbsp;\\(\\dfrac{\\var{a}V+1}{\\var{b}R+3}=\\dfrac{\\var{c}V+5}{\\var{d}R+7}\\)</p>", "variable_groups": [], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Manipulaci&oacute;n de expresiones algebraicas</p>"}, "tags": [], "variables": {"b": {"name": "b", "definition": "random(2..10#1)", "group": "Ungrouped variables", "templateType": "randrange", "description": ""}, "a": {"name": "a", "definition": "random(6..15#1)", "group": "Ungrouped variables", "templateType": "randrange", "description": ""}, "d": {"name": "d", "definition": "random(8..16#1)", "group": "Ungrouped variables", "templateType": "randrange", "description": ""}, "c": {"name": "c", "definition": "random(2..10#1)", "group": "Ungrouped variables", "templateType": "randrange", "description": ""}}, "advice": "<p>Multiplicando cruzado tenemos:</p>\n<p style=\"text-align: center;\">\\((\\var{a}V+1)*(\\var{d}R+7)=(\\var{b}R+3)*(\\var{c}V+5)\\)</p>\n<p style=\"text-align: center;\">\\(\\simplify{{a}*{d}}VR+\\simplify{7*{a}}V+\\var{d}R+7=\\simplify{{b}*{c}}VR+\\simplify{5*{b}}R+\\simplify{3*{c}}V+15\\)</p>\n<p>Reordenando todos los t&eacute;rminos que involucran a \\(V\\) al lado izquierdo y moviendo todos los otros t&eacute;rminos al lado derecho, tenemos</p>\n<p style=\"text-align: center;\">\\(\\simplify{{a}*{d}-{b}*{c}}VR+\\simplify{7*{a}-3*{c}}V=\\simplify{5*{b}-{d}}R+8\\)</p>\n<p>Factorizando por \\(V\\) al lado izquierdo tenemos:</p>\n<p style=\"text-align: center;\">\\(V(\\simplify{{a}*{d}-{b}*{c}}R+\\simplify{7*{a}-3*{c}})=\\simplify{5*{b}-{d}}R+8\\)</p>\n<p>As&iacute;</p>\n<p style=\"text-align: center;\">\\(V=\\dfrac{\\simplify{5*{b}-{d}}R+8}{\\simplify{{a}*{d}-{b}*{c}}R+\\simplify{7*{a}-3*{c}}}\\)</p>", "name": "Despeje de variable", "parts": [{"variableReplacements": [], "marks": 0, "variableReplacementStrategy": "originalfirst", "prompt": "<p>Exprese su respuesta como una fracci&oacute;n:</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;\\(V =\\)&nbsp;[[0]]</p>", "showFeedbackIcon": true, "showCorrectAnswer": true, "gaps": [{"variableReplacements": [], "marks": 1, "vsetrange": [0, 1], "checkvariablenames": false, "answer": "((5*{b}-{d})R+8)/(({a}*{d}-{b}*{c})R+7*{a}-3*{c})", "type": "jme", "expectedvariablenames": [], "showpreview": true, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "checkingtype": "absdiff", "checkingaccuracy": 0.001, "showCorrectAnswer": true, "vsetrangepoints": 5, "scripts": {}}], "type": "gapfill", "scripts": {}}], "functions": {}, "preamble": {"js": "", "css": ""}, "ungrouped_variables": ["a", "b", "c", "d"], "type": "question", "contributors": [{"name": "Ricardo Monge", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/471/"}]}]}], "contributors": [{"name": "Ricardo Monge", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/471/"}]}