getalb
", "group": "Ungrouped variables", "definition": "random(2..20)"}, "a": {"templateType": "anything", "name": "a", "description": "getalm
", "group": "Ungrouped variables", "definition": "random(2..20)"}}, "functions": {}, "statement": "Uit \\(y = \\var{a} x + \\var{b} \\) volgt dat \\( \\var{a} x =y- \\var{b} \\) , zodat
\n\\[ x = \\frac{y- \\var{b}}{\\var{a}} = \\frac{1}{\\var{a}} y - {\\frac{\\var{b}}{\\var{a}}}\\]
", "tags": [], "parts": [{"failureRate": 1, "vsetRangePoints": 5, "checkVariableNames": false, "showFeedbackIcon": true, "variableReplacements": [], "checkingType": "absdiff", "adaptiveMarkingPenalty": 0, "valuegenerators": [{"name": "x", "value": ""}, {"name": "y", "value": ""}], "checkingAccuracy": 0.001, "prompt": "Breng de constante term uit de rechterhandzijde van deze gelijkheid naar de linkerhandzijde:
\n", "type": "jme", "customMarkingAlgorithm": "", "showCorrectAnswer": true, "unitTests": [], "mustmatchpattern": {"message": "Herschrijf in de vorm $y-b=ax$.", "pattern": "y-$n=$n*x", "partialCredit": 0, "nameToCompare": ""}, "showPreview": true, "useCustomName": true, "vsetRange": [0, 1], "extendBaseMarkingAlgorithm": true, "answer": "y - {b}= {a} x", "customName": "Part a)", "variableReplacementStrategy": "originalfirst", "marks": 1, "scripts": {}}, {"showCorrectAnswer": true, "unitTests": [], "variableReplacements": [], "sortAnswers": false, "useCustomName": false, "extendBaseMarkingAlgorithm": true, "gaps": [{"failureRate": 1, "vsetRangePoints": 5, "checkVariableNames": false, "showFeedbackIcon": true, "variableReplacements": [], "checkingType": "absdiff", "adaptiveMarkingPenalty": 0, "checkingAccuracy": 0.001, "valuegenerators": [{"name": "y", "value": ""}], "type": "jme", "customMarkingAlgorithm": "", "showCorrectAnswer": true, "unitTests": [], "mustmatchpattern": {"message": "Gebruik breuken zonder decimalen om te herschrijven als $x=breuk\\,y - breuk$.", "pattern": "$n/$n * y- $n/$n `| $n/$n * y- $n", "partialCredit": 0, "nameToCompare": ""}, "showPreview": true, "useCustomName": false, "vsetRange": [0, 1], "extendBaseMarkingAlgorithm": true, "answer": "1/{a}y-{b}/{a}", "customName": "", "variableReplacementStrategy": "originalfirst", "marks": 1, "scripts": {}}], "adaptiveMarkingPenalty": 0, "showFeedbackIcon": true, "prompt": "Deel beide zijden van de gelijkheid door de coëfficiënt van $x$ (maar gebruik geen decimalen) om op te lossen naar $x$:
\n$x=$ [[0]]
", "customName": "", "variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "type": "gapfill", "customMarkingAlgorithm": ""}], "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "Oplossen van een eerstegraadsvergelijking type +Uit \\(y = \\var{a} x - \\var{b} \\) volgt dat \\( \\var{a} x =y+ \\var{b} \\) , zodat
\n\\[ x = \\frac{y+ \\var{b}}{\\var{a}} = \\frac{1}{\\var{a}} y + {\\frac{\\var{b}}{\\var{a}}}\\]
", "ungrouped_variables": ["a", "b"], "variables": {"a": {"templateType": "anything", "group": "Ungrouped variables", "name": "a", "definition": "random(2..20)", "description": "getalm
"}, "b": {"templateType": "anything", "group": "Ungrouped variables", "name": "b", "definition": "random(1..20)", "description": "getalb
"}}, "rulesets": {}, "preamble": {"js": "", "css": ""}, "parts": [{"variableReplacements": [], "checkVariableNames": false, "adaptiveMarkingPenalty": 0, "prompt": "Breng de constante term uit de rechterhandzijde van deze gelijkheid naar de linkerhandzijde:
\n", "vsetRange": [0, 1], "useCustomName": true, "unitTests": [], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "checkingAccuracy": 0.001, "checkingType": "absdiff", "customName": "Part a)", "scripts": {}, "failureRate": 1, "vsetRangePoints": 5, "mustmatchpattern": {"message": "Herschrijf in de vorm $y+b=ax$.", "pattern": "y+$n=$n*x", "nameToCompare": "", "partialCredit": 0}, "answer": "y + {b}= {a} x", "type": "jme", "showPreview": true, "marks": 1, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "valuegenerators": [{"value": "", "name": "x"}, {"value": "", "name": "y"}]}, {"variableReplacements": [], "adaptiveMarkingPenalty": 0, "gaps": [{"variableReplacements": [], "checkVariableNames": false, "adaptiveMarkingPenalty": 0, "vsetRange": [0, 1], "useCustomName": false, "unitTests": [], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "checkingAccuracy": 0.001, "checkingType": "absdiff", "customName": "", "scripts": {}, "failureRate": 1, "vsetRangePoints": 5, "mustmatchpattern": {"message": "Gebruik breuken zonder decimalen om te herschrijven als $x=breuk1\\,y + breuk2$.", "pattern": "$n/$n * y+ $n/$n `| $n/$n * y+ $n", "nameToCompare": "", "partialCredit": 0}, "type": "jme", "answer": "1/{a}y+{b}/{a}", "showPreview": true, "marks": 1, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "valuegenerators": [{"value": "", "name": "y"}]}], "prompt": "Deel beide zijden van de gelijkheid door de coëfficiënt van $x$ (maar gebruik geen decimalen):
\n$x=$ [[0]]
", "type": "gapfill", "useCustomName": false, "marks": 0, "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "scripts": {}, "customMarkingAlgorithm": "", "unitTests": [], "sortAnswers": false, "showFeedbackIcon": true, "customName": "", "variableReplacementStrategy": "originalfirst"}]}]}], "percentPass": "100", "feedback": {"showtotalmark": true, "advicethreshold": 0, "showanswerstate": true, "allowrevealanswer": true, "intro": "", "showactualmark": true, "feedbackmessages": []}, "showstudentname": true, "name": "Eerstegraadsvergelijkingen oplossen (breukvorm)", "timing": {"allowPause": true, "timedwarning": {"action": "warn", "message": "Je hebt nog 5 minuten!
"}, "timeout": {"action": "none", "message": ""}}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "Je moet een eerstegraadsvergelijking oplossen en als antwoord alle getallen in breukvorm ingeven (niet als een decimaal getal).