// Numbas version: finer_feedback_settings
{"name": "PreCal Expand Binomial of the form (ax+by)^5", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"preamble": {"js": "", "css": ""}, "extensions": [], "advice": "", "metadata": {"description": "", "licence": "All rights reserved"}, "statement": "<p>EXPAND:&nbsp; $\\simplify{ ({a}*x + {b}*y)^5&nbsp; }$</p>\n<p></p>\n<p><em><strong>NOTE:&nbsp; Your expression should begin with the highest degree of x.</strong></em></p>", "ungrouped_variables": ["a", "b", "c50", "c51", "c52", "c53", "c54", "c55", "coeff5", "coeff4", "coeff3", "coeff2", "coeff1", "coeff0"], "rulesets": {}, "tags": [], "variablesTest": {"condition": "", "maxRuns": 100}, "variable_groups": [], "parts": [{"scripts": {}, "variableReplacementStrategy": "originalfirst", "failureRate": 1, "marks": 1, "valuegenerators": [{"value": "", "name": "x"}, {"value": "", "name": "y"}], "checkingAccuracy": 0.001, "customName": "", "type": "jme", "checkVariableNames": false, "customMarkingAlgorithm": "", "checkingType": "absdiff", "adaptiveMarkingPenalty": 0, "vsetRangePoints": 5, "variableReplacements": [], "useCustomName": false, "unitTests": [], "showCorrectAnswer": true, "showPreview": true, "showFeedbackIcon": true, "answer": "{coeff5}*x^5 + {coeff4}*x^4*y + {coeff3}*x^3*y^2 + {coeff2}*x^2*y^3 + {coeff1}*x*y^4 + {coeff0}*y^5", "vsetRange": [0, 1], "extendBaseMarkingAlgorithm": true}], "functions": {}, "variables": {"a": {"definition": "random(-5..5 except 0)", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "a"}, "c55": {"definition": "comb(5,5)", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "c55"}, "coeff5": {"definition": "{c50}*{a}^5*{b}^0", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "coeff5"}, "coeff1": {"definition": "{c54}*{a}^1*{b}^4", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "coeff1"}, "coeff4": {"definition": "{c51}*{a}^4*{b}^1", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "coeff4"}, "coeff3": {"definition": "{c52}*{a}^3*{b}^2", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "coeff3"}, "c53": {"definition": "comb(5,3)", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "c53"}, "c54": {"definition": "comb(5,4)", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "c54"}, "b": {"definition": "random(-5..5 except [0,a])", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "b"}, "c52": {"definition": "comb(5,2)", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "c52"}, "c50": {"definition": "comb(5,0)", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "c50"}, "c51": {"definition": "comb(5,1)", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "c51"}, "coeff2": {"definition": "{c53}*{a}^2*{b}^3", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "coeff2"}, "coeff0": {"definition": "{c55}*{a}^0*{b}^5", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "coeff0"}}, "name": "PreCal Expand Binomial of the form (ax+by)^5", "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/"}]}