// Numbas version: exam_results_page_options
{"name": "Musa's copy of 3 Expand brackets", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Musa's copy of 3 Expand brackets", "tags": [], "metadata": {"description": "<p>Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>For each expression below,&nbsp;collect like terms&nbsp;and expand brackets.</p>\n<p><em>The <code>*</code> symbol is required between algebraic symbols, e.g. $5ab^2$ should be written </em><code>5*a*b^2</code><em>.</em></p>", "advice": "<p>When simplifying expressions, only terms of the same type or like terms can be added together.</p>\n<p>Algebraic symbols or letters can be added together provided that they are raised to the same power. For example, we can add $x^2+x^2=2x^2$, but we cannot collect both $x^2$ and $x$ into one term.</p>\n<p>\\[&nbsp;<br/>\\begin{align}<br/>\\var{c[0]}x+\\var{c[1]}x+\\var{c[2]}x&amp;=(\\var{c[0]}+\\var{c[1]}+\\var{c[2]})x\\\\<br/>&amp;=\\simplify{({c[0]}+{c[1]}+{c[2]})}x<br/>\\end{align}<br/>\\]</p>\n<p></p>\n<h4></h4>", "rulesets": {}, "extensions": ["stats"], "variables": {"c": {"name": "c", "group": "Part a", "definition": "repeat(random(2..10),5)", "description": "", "templateType": "anything"}, "c1": {"name": "c1", "group": "B group", "definition": "random(2..5)*2", "description": "", "templateType": "anything"}, "b1": {"name": "b1", "group": "B group", "definition": "random(2..10 except a1)", "description": "", "templateType": "anything"}, "d": {"name": "d", "group": "Part a", "definition": "repeat(random(2..33),6)", "description": "", "templateType": "anything"}, "f": {"name": "f", "group": "Part a", "definition": "repeat(random(2..20),7)", "description": "", "templateType": "anything"}, "j": {"name": "j", "group": "Part a", "definition": "repeat(random(2..20),9)", "description": "", "templateType": "anything"}, "h": {"name": "h", "group": "Part a", "definition": "repeat(random(2..20),7)", "description": "", "templateType": "anything"}, "a1": {"name": "a1", "group": "B group", "definition": "random(5..10)", "description": "", "templateType": "anything"}, "a": {"name": "a", "group": "Part a", "definition": "repeat(random(5..15),5)", "description": "<p>random variables for part 1</p>", "templateType": "anything"}, "b": {"name": "b", "group": "Part a", "definition": "repeat(random(2..10),5)", "description": "", "templateType": "anything"}, "g": {"name": "g", "group": "Part a", "definition": "repeat(random(2..15),7)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [{"name": "B group", "variables": ["a1", "b1", "c1"]}, {"name": "Part a", "variables": ["a", "b", "c", "d", "f", "g", "h", "j"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>$\\var{c[0]}x+\\var{c[1]}x+\\var{c[2]}x=$ [[0]]<em></em></p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "answer": "({c[1]}+{c[0]}+{c[2]})x", "answerSimplification": "all", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "maxlength": {"length": "0", "partialCredit": 0, "message": "<p>You must collect like terms&nbsp;to fully simplify.</p>"}, "mustmatchpattern": {"pattern": "$n*x", "partialCredit": 0, "message": "You haven't simplified: you still have two or more like terms that should be collected together.", "nameToCompare": ""}, "valuegenerators": [{"name": "x", "value": ""}]}], "sortAnswers": false}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Bradley Bush", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1521/"}, {"name": "Aiden McCall", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1592/"}, {"name": "Musa Mammadov", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4417/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Bradley Bush", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1521/"}, {"name": "Aiden McCall", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1592/"}, {"name": "Musa Mammadov", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4417/"}]}