// Numbas version: exam_results_page_options
{"name": "Exam version of More transposition", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "metadata": {"description": "<p>Another transposition question, which requires (basic) factorisation.</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "variables": {"n2": {"description": "", "name": "n2", "group": "Ungrouped variables", "definition": "random(-7..7 except 0)", "templateType": "anything"}, "n1": {"description": "", "name": "n1", "group": "Ungrouped variables", "definition": "random(2..6)", "templateType": "anything"}, "n3": {"description": "", "name": "n3", "group": "Ungrouped variables", "definition": "random(-7..7 except 0 n2)", "templateType": "anything"}, "n4": {"description": "", "name": "n4", "group": "Ungrouped variables", "definition": "random(1..10)", "templateType": "anything"}}, "advice": "<p>Here, we first have to collect all terms involving $y$ on the same side. Hence, we get:</p>\n<p>\\[\\simplify{x^{{n1}}*y+{n2}*y*x - {n3}*y} = \\var{n4}\\]</p>\n<p>We then spot that $y$ appears exactly once in each term on the left, so factorise:</p>\n<p>\\[y(\\simplify{x^{{n1}} + {n2}*x - {n3}}) = \\var{n4}\\]</p>\n<p>and simple division gives the answer.</p>", "ungrouped_variables": ["n1", "n2", "n3", "n4"], "name": "Exam version of More transposition", "variable_groups": [], "preamble": {"js": "", "css": ""}, "extensions": [], "statement": "<p>Make y the subject of the equation</p>", "rulesets": {}, "tags": [], "parts": [{"gaps": [{"showCorrectAnswer": true, "marks": "5", "variableReplacements": [], "answer": "{n4}/(x^{{n1}} + {n2}*x-{n3})", "checkingaccuracy": 0.001, "type": "jme", "vsetrangepoints": 5, "vsetrange": [0, 1], "checkingtype": "absdiff", "checkvariablenames": false, "expectedvariablenames": [], "variableReplacementStrategy": "originalfirst", "showpreview": true, "showFeedbackIcon": true, "scripts": {}}], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "prompt": "<p>Consider the equation:</p>\n<p>\\[\\simplify{x^{{n1}}*y + {n2}*y*x} = \\simplify{{n3}*y} + \\var{n4}\\]</p>\n<p>Re-arrange this equation to make $y$ the subject:</p>\n<p>$y = $[[0]]</p>", "marks": 0, "variableReplacements": [], "showFeedbackIcon": true, "scripts": {}, "type": "gapfill"}], "type": "question", "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}]}]}], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}]}