// Numbas version: exam_results_page_options
{"name": "First order algebraic equation", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["a", "b", "c"], "name": "First order algebraic equation", "tags": [], "advice": "<p>$\\displaystyle{\\simplify{{a}/(x-{b})&nbsp;= {c}/x}}$</p>\n<p>Gj&oslash;r kryss-multiplikasjon:</p>\n<p>$\\displaystyle{\\simplify{{a}x = {c}(x-{b})}}$</p>\n<p>Trekker sammen:</p>\n<p>$\\displaystyle{\\simplify{{a-c}x = -{b*c}}}$</p>\n<p>$\\displaystyle{\\simplify{x = -{b*c}/{a-c}}}$</p>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>Likningen &nbsp;$\\simplify{{a}/(x-{b})&nbsp;= {c}/x}$ &nbsp;har l&oslash;sningen &nbsp;x =&nbsp;[[0]]</p>\n<p><sup>(Tast inn svaret som heltall eller heltallsbr&oslash;k)</sup></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": true, "variableReplacements": [], "maxValue": "{b*c}/{c-a}", "minValue": "{b*c}/{c-a}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "steps": [{"prompt": "<p>Gj&oslash;r kryss-multiplikasjon med&nbsp; $\\displaystyle{\\frac A B = \\frac C D}$ &nbsp;til &aring; gi &nbsp;$A \\cdot D = B \\cdot C$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}], "extensions": [], "statement": "<p>L&oslash;s likningen &nbsp;$\\displaystyle{\\simplify{{a}/(x-{b})&nbsp;= {c}/x}}$</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"a": {"definition": "random(-7..7 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "c": {"definition": "random(-7..7 except [0, a])", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "random(-7..7 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}}, "metadata": {"description": "<p>Solve a first order algebraic equation</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Tore Gaupseth", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/28/"}]}]}], "contributors": [{"name": "Tore Gaupseth", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/28/"}]}