Simplify the following expression: $\\simplify[]{ ({a}/{b}) * ({c}/{d}) }$
", "variable_groups": [], "name": "David's copy of Randomise variable names - expression() version", "parts": [{"checkingaccuracy": 0.001, "type": "jme", "answer": "({a}*{c})/({b}*{d})", "expectedvariablenames": ["a", "b", "c", "d", "p", "q", "r", "s", "f", "g", "h", "j"], "variableReplacements": [], "marks": 1, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "checkingtype": "absdiff", "showFeedbackIcon": true, "vsetrangepoints": 5, "scripts": {"mark": {"order": "instead", "script": "// get the names of variables a,b and c.\nvar a_name = question.unwrappedVariables.a_name;\nvar b_name = question.unwrappedVariables.b_name;\nvar d_name = question.unwrappedVariables.d_name;\n\n// get the value of c\nvar c = question.unwrappedVariables.c;\n\n// create an expression the student's answer should match:\n// it should be (a*c)/(b*d)\nvar pattern;\nif(c==1) {\n pattern = '('+a_name+')/('+b_name+'*'+d_name+')';\n} else {\n pattern = '('+a_name+'*'+c+')/('+b_name+'*'+d_name+')';\n}\n\ntry {\n var match = Numbas.jme.display.matchExpression(pattern,this.studentAnswer,true);\n} catch(e) {\n this.setCredit(0); // if the student's answer isn't a valid expression, give 0 credit\n}\n\nif(match) {\n // if the student's answer matches the pattern, mark it correct\n this.setCredit(1,R('part.marking.correct'));\n} else {\n this.setCredit(0,R('part.marking.incorrect')); \n}"}}, "checkvariablenames": true, "answersimplification": "all", "vsetrange": [0, 1], "showpreview": true}], "advice": "Multiply the numerators together, and then multiply the denominators together, to obtain
\n", "rulesets": {}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "A method of randomly choosing variable names - use the expression() JME function to create a variable name from a randomly chosen string.
(This question also uses a custom marking script to check that the student has simplified the expression)
"}, "variables": {"d": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "expression(d_name)", "name": "d"}, "c": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random(1..6)", "name": "c"}, "b": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "expression(b_name)", "name": "b"}, "a": {"templateType": "anything", "group": "Ungrouped variables", "description": "The name of the first variable, as a JME expression which can be substituted into other expressions.
", "definition": "expression(a_name)", "name": "a"}, "d_name": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random([\"f\",\"g\",\"h\",\"j\"])", "name": "d_name"}, "a_name": {"templateType": "anything", "group": "Ungrouped variables", "description": "The name of the first variable, as a string
", "definition": "random([\"a\",\"b\",\"c\",\"d\"])", "name": "a_name"}, "b_name": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random([\"p\",\"q\",\"r\",\"s\"])", "name": "b_name"}}, "tags": [], "extensions": [], "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a_name", "a", "b_name", "b", "c", "d_name", "d"], "preamble": {"css": "", "js": ""}, "type": "question", "contributors": [{"name": "David Wishart", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1461/"}]}]}], "contributors": [{"name": "David Wishart", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1461/"}]}