// 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": [{"functions": {}, "ungrouped_variables": ["a1", "a2", "a3", "a4", "b1", "b2", "b3", "b4", "b5", "b6", "c1", "c2", "c3", "c4", "c5", "d1", "d2", "d3", "d4"], "name": "Bokstavregning og parenteser 1", "tags": [], "preamble": {"css": "", "js": ""}, "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 "]}, "parts": [{"stepsPenalty": 0, "prompt": "<p>Trekk sammen</p>\n<p>$\\var{a1}x-\\var{a2}y+\\var{a3}x+\\var{a4}y =$</p>\n<p>[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Trekk sammen ledd av samme type, for eksempel er $7x-3x = 4x$, mens $2y$ og $3x$ er ikke av samme type og kan ikke trekkes sammen.&nbsp;</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "std", "scripts": {}, "answer": "{a1+a3}x+{a4-a2}y", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme", "maxlength": {"length": "10", "message": "<p>Du har ikke trukket sammen alle mulige ledd</p>", "partialCredit": 0}}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>Trekk sammen</p>\n<p>$\\var{b1}x^2+\\var{b2}x+\\var{b3}+\\var{b4}x^2-\\var{b5}x-\\var{b6}=$</p>\n<p>&nbsp;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Trekk sammen ledd av samme type, for eksempel er $2x^2+3x^2 = 5x^2$, mens $2x^2$ og $3x$ er ikke av samme type og kan ikke trekkes sammen.&nbsp;</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "std", "scripts": {}, "answer": "{b1+b4}x^2+{b2-b5}x+{b3-b6}", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme", "maxlength": {"length": "21", "message": "<p>Du har ikke trukket sammen alle mulige ledd</p>", "partialCredit": 0}}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>Trekk sammen</p>\n<p>$\\var{c1}ab+\\var{c2}ab^2-\\var{c3}a^2b-\\var{c1+c5}ab+\\var{c3-c4}a^2b+\\var{c5}ab+\\var{c4}a^2b$</p>\n<p>[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Trekk sammen ledd av samme type, for eksempel er $4ab$ og $2ab$ av samme type og kan trekkes sammen, mens $3a^2b$ og $5ab^2$ er ikke av samme type og kan ikke trekkes sammen. I regneeksempelet nedenfor markeres ledd som kan trekkes sammen med parenteser (det er for forklaringens skyld, og ikke n&oslash;dvendig f&oslash;ring):&nbsp;</p>\n<p>$4ab+3a^2b+2ab-7a^2b+5ab^2 = (4ab+2ab)+(3a^2b-7a^2b)+5ab^2 = 6ab-4a^2b+5ab^2$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "std", "scripts": {}, "answer": "{c2}a*b^2", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme", "maxlength": {"length": "7", "message": "", "partialCredit": 0}}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>L&oslash;s opp parentesene og trekk sammen</p>\n<p>$(\\var{d1}x+\\var{d2}y)-(\\var{d3}x-\\var{d4}y) =$</p>\n<p>[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"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>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"notallowed": {"message": "", "showStrings": false, "strings": ["("], "partialCredit": 0}, "vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "std", "scripts": {}, "answer": "{d1-d3}x+{d2+d4}y", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme", "maxlength": {"length": "15", "message": "<p>Du har ikke trukket sammen alle mulige ledd</p>", "partialCredit": 0}}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "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*x-3*y eller bare 2x-3y og f&aring; &nbsp;$2x-3y$. 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 x^2*y heller enn x^2y for &aring; f&aring; $x^2y$.</p>\n<p>Ved siden av input-boksen ser dere hvordan NUMBAS tolker det dere skriver.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"b4": {"definition": "random(2..8)", "templateType": "anything", "group": "Ungrouped variables", "name": "b4", "description": ""}, "d1": {"definition": "random(2..6)", "templateType": "anything", "group": "Ungrouped variables", "name": "d1", "description": ""}, "b6": {"definition": "random(2..6)", "templateType": "anything", "group": "Ungrouped variables", "name": "b6", "description": ""}, "a1": {"definition": "random(-5..5 except [0, 1, -1])", "templateType": "anything", "group": "Ungrouped variables", "name": "a1", "description": ""}, "b5": {"definition": "random(2..5)", "templateType": "anything", "group": "Ungrouped variables", "name": "b5", "description": ""}, "a3": {"definition": "random(2..9)", "templateType": "anything", "group": "Ungrouped variables", "name": "a3", "description": ""}, "a2": {"definition": "random(2..6)", "templateType": "anything", "group": "Ungrouped variables", "name": "a2", "description": ""}, "c1": {"definition": "random(-3..3 except[0, 1, -1])", "templateType": "anything", "group": "Ungrouped variables", "name": "c1", "description": ""}, "b1": {"definition": "random(-7..8 except [0, 1, -1])", "templateType": "anything", "group": "Ungrouped variables", "name": "b1", "description": ""}, "b2": {"definition": "random(2..9)", "templateType": "anything", "group": "Ungrouped variables", "name": "b2", "description": ""}, "b3": {"definition": "random(2..4)", "templateType": "anything", "group": "Ungrouped variables", "name": "b3", "description": ""}, "c3": {"definition": "random(5..8)", "templateType": "anything", "group": "Ungrouped variables", "name": "c3", "description": ""}, "c2": {"definition": "random(2..7)", "templateType": "anything", "group": "Ungrouped variables", "name": "c2", "description": ""}, "d4": {"definition": "random(2..6)", "templateType": "anything", "group": "Ungrouped variables", "name": "d4", "description": ""}, "c4": {"definition": "random(2..3)", "templateType": "anything", "group": "Ungrouped variables", "name": "c4", "description": ""}, "d2": {"definition": "random(2..6)", "templateType": "anything", "group": "Ungrouped variables", "name": "d2", "description": ""}, "d3": {"definition": "random(2..6)", "templateType": "anything", "group": "Ungrouped variables", "name": "d3", "description": ""}, "c5": {"definition": "random(5..7)", "templateType": "anything", "group": "Ungrouped variables", "name": "c5", "description": ""}, "a4": {"definition": "random(3..8)", "templateType": "anything", "group": "Ungrouped variables", "name": "a4", "description": ""}}, "metadata": {"description": "<p>Simplifying algebraic expressions</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Ida Friestad Pedersen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/792/"}]}]}], "contributors": [{"name": "Ida Friestad Pedersen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/792/"}]}