// Numbas version: exam_results_page_options
{"name": "Solving equations", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "name": "Solving equations", "tags": ["equations", "linear equation", "solving equations", "solving linear equations"], "advice": "\n    <p>Given the equation \\[\\simplify[std]{{a}x+{b}={c}x+{d}}\\] we first collect together all the constant terms, and collect together all the terms in $x$.</p>\n  <p>The equation can then be written as:<br/>\\[\\simplify[std]{({a}-{c})x=({d}+{-b})}\\] i.e.<br/>\\[\\simplify{{a-c}x={d-b}}\\]<br/>which gives \\[x =\\simplify[std]{{(d-b)}/{(a-c)}}\\] as the solution.</p>\n    ", "rulesets": {"std": ["all", "!collectNumbers", "fractionNumbers"]}, "parts": [{"prompt": "\n        <p>\\[\\simplify[std]{{a} * x + {b} = {c} * x + {d}}\\]<br/>Input your answer as a fraction or an integer. Do <span class=\"caps\">NOT</span> input the answer as a decimal.</p>\n      <p>$x\\;=$[[0]]</p>\n        ", "gaps": [{"notallowed": {"message": "<p>Input your answer as a fraction or an integer. Do&nbsp;<span class=\"caps\">not</span>&nbsp;input the answer as a decimal.&nbsp;</p>", "showstrings": false, "strings": ["."], "partialcredit": 0.0}, "checkingaccuracy": 0.001, "vsetrange": [0.0, 1.0], "vsetrangepoints": 5.0, "checkingtype": "absdiff", "answersimplification": "all", "marks": 1.0, "answer": "{d-b}/{a-c}", "type": "jme"}], "type": "gapfill", "marks": 0.0}], "extensions": [], "statement": "<p>Solve the following linear equation for $x$.</p>", "variable_groups": [], "progress": "ready", "type": "question", "variables": {"a": {"definition": "s1*random(2..12)", "name": "a"}, "c": {"definition": "if(a=tc,tc+1,tc)", "name": "c"}, "b": {"definition": "s2*random(1..12)", "name": "b"}, "d": {"definition": "if(b=td,td+1,td)", "name": "d"}, "s3": {"definition": "random(1,-1)", "name": "s3"}, "s2": {"definition": "random(1,-1)", "name": "s2"}, "s1": {"definition": "random(1,-1)", "name": "s1"}, "td": {"definition": "random(1..20)", "name": "td"}, "tc": {"definition": "s3*random(2..20)", "name": "tc"}}, "metadata": {"notes": "\n        \t\t<p><strong>5/08/2012:</strong></p>\n        \t\t    <p>Added more tags.</p>\n        \t\t    <p>Added description.</p>\n        \t\t    <p>Checked calculation. OK.</p>\n        \t\t", "description": "<p>Solve $\\displaystyle ax + b = cx + d$ for $x$.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Bill Foster", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/6/"}]}]}], "contributors": [{"name": "Bill Foster", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/6/"}]}