// Numbas version: exam_results_page_options
{"name": "Andrew's copy of Simon's copy of Rearrange equations", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "metadata": {"description": "<p>rearranging the Michelas-Menten equation to make the substrate the subject.</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "preamble": {"css": "", "js": ""}, "extensions": [], "variables": {"a": {"templateType": "anything", "definition": "random(2..8)", "description": "", "name": "a", "group": "Ungrouped variables"}, "b": {"templateType": "anything", "definition": "random(5..16)", "description": "", "name": "b", "group": "Ungrouped variables"}}, "name": "Andrew's copy of Simon's copy of Rearrange equations", "functions": {}, "ungrouped_variables": ["a", "b"], "statement": "", "variablesTest": {"maxRuns": 100, "condition": ""}, "parts": [{"marks": 0, "variableReplacements": [], "type": "gapfill", "gaps": [{"checkingAccuracy": 0.001, "checkVariableNames": false, "variableReplacements": [], "type": "jme", "scripts": {}, "valuegenerators": [{"value": "", "name": "v"}], "vsetRangePoints": 5, "customMarkingAlgorithm": "", "failureRate": 1, "checkingType": "absdiff", "adaptiveMarkingPenalty": 0, "customName": "", "extendBaseMarkingAlgorithm": true, "marks": "5", "useCustomName": false, "showCorrectAnswer": true, "unitTests": [], "showFeedbackIcon": true, "showPreview": true, "variableReplacementStrategy": "originalfirst", "answer": "({b}*V)/({a}-V)", "vsetRange": [0, 1]}], "useCustomName": false, "scripts": {}, "sortAnswers": false, "showCorrectAnswer": true, "unitTests": [], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "adaptiveMarkingPenalty": 0, "customName": "", "prompt": "<p>Rearrange the following equation to make S the subject.</p>\n<p></p>\n<p>$ V=\\frac{\\var{a}S}{S+\\var{b}}$</p>\n<p></p>\n<p>to write a fraction you type (numerator)/(denominator)</p>\n<p>S=[[0]]</p>\n<p></p>", "extendBaseMarkingAlgorithm": true}], "rulesets": {}, "tags": [], "advice": "<p>start by multiplying both sides by the denominator</p>\n<p>for example&nbsp;if you have $V=\\frac{5S}{S+12}$ then multiply both sides by $(S+12)$</p>\n<p>this gives: &nbsp;$V(S+12)=\\frac{5S}{S+12} (S+12) $</p>\n<p>the (S+12) term on the right hand side cancels out to give: $V(S+12)=5S$</p>\n<p>now expand out the brackets: &nbsp;$VS+12V=5S$</p>\n<p>then collect the like terms, you want to get all the terms with S in them onto one side, so subtract VS from both sides:</p>\n<p>$VS-VS+12V=5S-VS$</p>\n<p>this becomes $12V=5S-VS$</p>\n<p>now you can factorise the right hand side: $12V=S(5-V)$</p>\n<p>then divide both sides by (5-V) to leave S on its own: $\\frac{12V}{5-V}=S$</p>\n<p></p>", "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}, {"name": "Simon Thomas", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3148/"}, {"name": "Andrew McKinley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3717/"}]}]}], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}, {"name": "Simon Thomas", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3148/"}, {"name": "Andrew McKinley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3717/"}]}