// Numbas version: exam_results_page_options
{"name": "Bokstavregning og parenteser 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"tags": ["bokstavregning", "paranteser"], "ungrouped_variables": ["a1", "a2", "a3", "a4", "b1", "b2", "b3", "b4", "b5", "b6", "c1", "c2", "c3", "c4", "c5", "d1", "d2", "d3", "d4"], "preamble": {"js": "", "css": ""}, "name": "Bokstavregning og parenteser 1", "functions": {}, "variables": {"c1": {"description": "", "definition": "random(-3..3 except[0, 1, -1])", "templateType": "anything", "name": "c1", "group": "Ungrouped variables"}, "b1": {"description": "", "definition": "random(-7..8 except [0, 1, -1])", "templateType": "anything", "name": "b1", "group": "Ungrouped variables"}, "c2": {"description": "", "definition": "random(2..7)", "templateType": "anything", "name": "c2", "group": "Ungrouped variables"}, "b2": {"description": "", "definition": "random(2..9)", "templateType": "anything", "name": "b2", "group": "Ungrouped variables"}, "b6": {"description": "", "definition": "random(2..6)", "templateType": "anything", "name": "b6", "group": "Ungrouped variables"}, "a2": {"description": "", "definition": "random(2..6)", "templateType": "anything", "name": "a2", "group": "Ungrouped variables"}, "b4": {"description": "", "definition": "random(2..8)", "templateType": "anything", "name": "b4", "group": "Ungrouped variables"}, "b3": {"description": "", "definition": "random(2..4)", "templateType": "anything", "name": "b3", "group": "Ungrouped variables"}, "d4": {"description": "", "definition": "random(2..6)", "templateType": "anything", "name": "d4", "group": "Ungrouped variables"}, "d3": {"description": "", "definition": "random(2..6)", "templateType": "anything", "name": "d3", "group": "Ungrouped variables"}, "c5": {"description": "", "definition": "random(5..7)", "templateType": "anything", "name": "c5", "group": "Ungrouped variables"}, "c4": {"description": "", "definition": "random(2..3)", "templateType": "anything", "name": "c4", "group": "Ungrouped variables"}, "a1": {"description": "", "definition": "random(-5..5 except [0, 1, -1])", "templateType": "anything", "name": "a1", "group": "Ungrouped variables"}, "a3": {"description": "", "definition": "random(2..9)", "templateType": "anything", "name": "a3", "group": "Ungrouped variables"}, "c3": {"description": "", "definition": "random(5..8)", "templateType": "anything", "name": "c3", "group": "Ungrouped variables"}, "d1": {"description": "", "definition": "random(2..6)", "templateType": "anything", "name": "d1", "group": "Ungrouped variables"}, "d2": {"description": "", "definition": "random(2..6)", "templateType": "anything", "name": "d2", "group": "Ungrouped variables"}, "a4": {"description": "", "definition": "random(3..8)", "templateType": "anything", "name": "a4", "group": "Ungrouped variables"}, "b5": {"description": "", "definition": "random(2..5)", "templateType": "anything", "name": "b5", "group": "Ungrouped variables"}}, "statement": "<p>Du kan skrive inn algebraiske uttrykk&nbsp;tekstboksene. For eksempel kan du skrive a^3 og f&aring; $a^3$ og enten 2*a-3*b eller bare 2a-3b og f&aring; &nbsp;$2a-3b$. Det anbefales at dere bruker '*' mellom variabler, for at NUMBAS skal tolke det dere skriver riktig. Skriv for eksempel a*b heller enn ab, og a^2*b heller enn a^2b for &aring; f&aring; $a^2b$.</p>\n<p>Ved siden av input-boksen ser dere hvordan NUMBAS tolker det dere skriver.</p>", "parts": [{"showCorrectAnswer": true, "steps": [{"showCorrectAnswer": true, "type": "information", "scripts": {}, "showFeedbackIcon": true, "prompt": "<p>Trekk sammen ledd av samme type, for eksempel er $7a-3a = 4a$, mens $2b$ og $3a$ er ikke av samme type og kan ikke trekkes sammen.&nbsp;</p>\n<p></p>", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "marks": 0}], "type": "gapfill", "scripts": {}, "showFeedbackIcon": true, "prompt": "<p>Trekk sammen</p>\n<p>$\\var{a1}a-\\var{a2}b+\\var{a3}a+\\var{a4}b =$</p>\n<p>[[0]]</p>", "gaps": [{"showCorrectAnswer": true, "type": "jme", "showFeedbackIcon": true, "checkingaccuracy": 0.001, "variableReplacementStrategy": "originalfirst", "showpreview": true, "expectedvariablenames": [], "answersimplification": "std", "maxlength": {"length": "10", "message": "<p>Du har ikke trukket sammen alle mulige ledd</p>", "partialCredit": 0}, "vsetrange": [0, 1], "scripts": {}, "checkingtype": "absdiff", "vsetrangepoints": 5, "checkvariablenames": false, "answer": "{a1+a3}a+{a4-a2}b", "variableReplacements": [], "marks": 1}], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "marks": 0, "stepsPenalty": 0}, {"showCorrectAnswer": true, "steps": [{"showCorrectAnswer": true, "type": "information", "scripts": {}, "showFeedbackIcon": true, "prompt": "<p>Trekk sammen ledd av samme type, for eksempel er $2a^2+3a^2 = 5a^2$, mens $2a^2$ og $3a$ er ikke av samme type og kan ikke trekkes sammen.&nbsp;</p>\n<p></p>", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "marks": 0}], "type": "gapfill", "scripts": {}, "showFeedbackIcon": true, "prompt": "<p>Trekk sammen</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>", "gaps": [{"showCorrectAnswer": true, "type": "jme", "showFeedbackIcon": true, "checkingaccuracy": 0.001, "variableReplacementStrategy": "originalfirst", "showpreview": true, "expectedvariablenames": [], "answersimplification": "std", "maxlength": {"length": "21", "message": "<p>Du har ikke trukket sammen alle mulige ledd</p>", "partialCredit": 0}, "vsetrange": [0, 1], "scripts": {}, "checkingtype": "absdiff", "vsetrangepoints": 5, "checkvariablenames": false, "answer": "{b1+b4}a^2+{b2-b5}a+{b3-b6}", "variableReplacements": [], "marks": 1}], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "marks": 0, "stepsPenalty": 0}, {"showCorrectAnswer": true, "steps": [{"showCorrectAnswer": true, "type": "information", "scripts": {}, "showFeedbackIcon": true, "prompt": "<p>Huk: n&aring;r vi l&oslash;ser opp en parantes med minus foran, m&aring; vi bytte fortegn p&aring; leddene inne i parentesen. Eksempel:</p>\n<p></p>\n<p>$2a-(a-3b)=2a-a+3b=a+3b$</p>", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "marks": 0}], "type": "gapfill", "scripts": {}, "showFeedbackIcon": true, "prompt": "<p>L&oslash;s opp parentesene og trekk sammen</p>\n<p>$(\\var{d1}a+\\var{d2}b)-(\\var{d3}a-\\var{d4}b) =$</p>\n<p>[[0]]</p>", "gaps": [{"showCorrectAnswer": true, "notallowed": {"showStrings": false, "message": "", "strings": ["("], "partialCredit": 0}, "type": "jme", "showFeedbackIcon": true, "checkingaccuracy": 0.001, "variableReplacementStrategy": "originalfirst", "showpreview": true, "expectedvariablenames": [], "answersimplification": "std", "maxlength": {"length": "15", "message": "<p>Du har ikke trukket sammen alle mulige ledd</p>", "partialCredit": 0}, "vsetrange": [0, 1], "scripts": {}, "checkingtype": "absdiff", "vsetrangepoints": 5, "checkvariablenames": false, "answer": "{d1-d3}a+{d2+d4}b", "variableReplacements": [], "marks": 1}], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "marks": 0, "stepsPenalty": 0}], "variablesTest": {"maxRuns": 100, "condition": ""}, "extensions": [], "variable_groups": [], "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>", "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Forenkling av algebraiske uttrykk</p>"}, "rulesets": {"std": ["all", "!collectNumbers "]}, "type": "question", "contributors": [{"name": "Morten Brekke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/478/"}]}]}], "contributors": [{"name": "Morten Brekke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/478/"}]}