// Numbas version: exam_results_page_options
{"name": "Rearrange equations", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["a", "b"], "name": "Rearrange equations", "tags": [], "preamble": {"css": "", "js": ""}, "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>", "rulesets": {}, "parts": [{"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>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": false, "scripts": {}, "answer": "({b}*V)/({a}-V)", "marks": "5", "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(2..8)", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "b": {"definition": "random(5..16)", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}}, "metadata": {"description": "<p>Rearranging the Michaelis-Menten equation to make the substrate the subject.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "contributors": [{"name": "Nigel Atkins", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/275/"}]}]}], "contributors": [{"name": "Nigel Atkins", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/275/"}]}