// Numbas version: exam_results_page_options
{"name": "Herleiden met vereenvoudigingsregels", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a1", "a2", "a3", "a4", "b1", "b2", "b3", "b4", "b5", "b6", "c1", "c2", "c3", "c4", "c5", "d1", "d2", "d3", "d4"], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Simplify algebra expressions</p>"}, "extensions": [], "name": "Herleiden met vereenvoudigingsregels", "preamble": {"css": "", "js": ""}, "parts": [{"gaps": [{"vsetrange": [0, 1], "checkingaccuracy": 0.001, "type": "jme", "checkingtype": "absdiff", "showFeedbackIcon": true, "marks": 1, "maxlength": {"partialCredit": 0, "message": "<p>Du har ikke trukket sammen alle mulige ledd</p>", "length": "10"}, "variableReplacementStrategy": "originalfirst", "answersimplification": "std", "showCorrectAnswer": true, "vsetrangepoints": 5, "checkvariablenames": false, "answer": "{a1+a3}a+{a4-a2}b", "expectedvariablenames": [], "variableReplacements": [], "scripts": {}, "showpreview": true}], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "type": "gapfill", "showFeedbackIcon": true, "marks": 0, "prompt": "<p>Herleid:</p>\n<p>$\\var{a1}a-\\var{a2}b+\\var{a3}a+\\var{a4}b =$</p>\n<p>[[0]]</p>", "variableReplacements": [], "scripts": {}}, {"gaps": [{"vsetrange": [0, 1], "checkingaccuracy": 0.001, "type": "jme", "checkingtype": "absdiff", "showFeedbackIcon": true, "marks": 1, "maxlength": {"partialCredit": 0, "message": "<p>Du har ikke trukket sammen alle mulige ledd</p>", "length": "21"}, "variableReplacementStrategy": "originalfirst", "answersimplification": "std", "showCorrectAnswer": true, "vsetrangepoints": 5, "checkvariablenames": false, "answer": "{b1+b4}a^2+{b2-b5}a+{b3-b6}", "expectedvariablenames": [], "variableReplacements": [], "scripts": {}, "showpreview": true}], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "type": "gapfill", "showFeedbackIcon": true, "marks": 0, "prompt": "<p>Herleid</p>\n<p>$\\var{b1}a^2+\\var{b2}a+\\var{b3}+\\var{b4}a^2-\\var{b5}a-\\var{b6}=$</p>\n<p>&nbsp;[[0]]</p>", "variableReplacements": [], "scripts": {}}, {"gaps": [{"vsetrange": [0, 1], "checkingaccuracy": 0.001, "notallowed": {"partialCredit": 0, "showStrings": false, "message": "", "strings": ["("]}, "type": "jme", "checkingtype": "absdiff", "showFeedbackIcon": true, "marks": 1, "maxlength": {"partialCredit": 0, "message": "<p>Du har ikke trukket sammen alle mulige ledd</p>", "length": "15"}, "variableReplacementStrategy": "originalfirst", "answersimplification": "std", "showCorrectAnswer": true, "vsetrangepoints": 5, "checkvariablenames": false, "answer": "{d1-d3}a+{d2+d4}b", "expectedvariablenames": [], "variableReplacements": [], "scripts": {}, "showpreview": true}], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "type": "gapfill", "showFeedbackIcon": true, "marks": 0, "prompt": "<p>Werk de haken weg en herleid</p>\n<p>$(\\var{d1}a+\\var{d2}b)-(\\var{d3}a-\\var{d4}b) =$</p>\n<p>[[0]]</p>", "variableReplacements": [], "scripts": {}}], "tags": [], "functions": {}, "statement": "<p>Tik&nbsp;a^3 om $a^3$ en 2a-3b om $2a-3b$.</p>\n<p>Naast het vak verschijnt je oplossing in de normale wiskundige notatie.&nbsp;Druk op de knop \"submit part\" om je antwoord in te dienen.&nbsp;</p>", "advice": "<p><img src=\"http://2.bp.blogspot.com/-cth6k3e3jwQ/VQXfSRgqJHI/AAAAAAAABMI/wxS9Is8HCU8/s1600/bodmas.png\" width=\"326\" height=\"261\"/></p>\n<p>Remove the brackets and gather the x terms together and also the number terms together.</p>\n<p>When in fraction form, get the lowest common multiple (LCM), and multiply the top line by how many times the&nbsp;divisor goes into the LCM.</p>\n<p>Rule for multiping out brackets:</p>\n<p>(a$x$ - b)(c$x$ + d) = (a * c)$x^2$ + ((a * d) + ((-b) *c)))$x$ + ((-b) * d)</p>\n<p>Rule for squaring&nbsp;brackets:</p>\n<p>(-a$x$ + b)$^2$ = (-a * -a)$x^2$ + (2 * (-a) *b)$x$ + (b * b)</p>", "rulesets": {"std": ["all", "!collectNumbers "]}, "variables": {"c5": {"description": "", "name": "c5", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(5..7)"}, "c2": {"description": "", "name": "c2", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..7)"}, "a3": {"description": "", "name": "a3", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..9)"}, "a2": {"description": "", "name": "a2", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..6)"}, "d4": {"description": "", "name": "d4", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..6)"}, "a1": {"description": "", "name": "a1", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(-5..5 except [0, 1, -1])"}, "b1": {"description": "", "name": "b1", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(-7..8 except [0, 1, -1])"}, "d2": {"description": "", "name": "d2", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..6)"}, "a4": {"description": "", "name": "a4", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(3..8)"}, "d3": {"description": "", "name": "d3", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..6)"}, "c1": {"description": "", "name": "c1", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(-3..3 except[0, 1, -1])"}, "b3": {"description": "", "name": "b3", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..4)"}, "b2": {"description": "", "name": "b2", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..9)"}, "c3": {"description": "", "name": "c3", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(5..8)"}, "d1": {"description": "", "name": "d1", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..6)"}, "b5": {"description": "", "name": "b5", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..5)"}, "c4": {"description": "", "name": "c4", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..3)"}, "b6": {"description": "", "name": "b6", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..6)"}, "b4": {"description": "", "name": "b4", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..8)"}}, "variable_groups": [], "type": "question", "contributors": [{"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}]}]}], "contributors": [{"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}]}