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{"name": "cormac's copy of Katherine's copy of Simultaneous equations: linear and quadratic, one point", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"statement": "", "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": ""}, "parts": [{"marks": 0, "type": "gapfill", "prompt": "<p>Find the $x$ and $y$ values that satisfy both of the following equations. That is, find the point of intersection of the two curves.</p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">$y$</td>\n<td style=\"text-align: center;\">$=$</td>\n<td style=\"text-align: left;\">$\\simplify{{grad}x+{yint}}$</td>\n<td style=\"text-align: left;\">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;$(1)$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$y$</td>\n<td style=\"text-align: center;\">$=$</td>\n<td style=\"text-align: left;\">$\\simplify{x^2+{quadxcoeff}x+{quadccoeff}}$</td>\n<td style=\"text-align: left;\">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;$(2)$</td>\n</tr>\n</tbody>\n</table>\n<p>$x=$&nbsp;[[0]], &nbsp; $y=$&nbsp;[[1]]</p>\n<p></p>", "unitTests": [], "showCorrectAnswer": true, "gaps": [{"mustBeReducedPC": 0, "marks": "2", "mustBeReduced": false, "type": "numberentry", "maxValue": "root1", "unitTests": [], "showCorrectAnswer": true, "minValue": "root1", "scripts": {}, "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "allowFractions": true, "correctAnswerStyle": "plain"}, {"mustBeReducedPC": 0, "marks": "2", "mustBeReduced": false, "type": "numberentry", "maxValue": "ansyvalue", "unitTests": [], "showCorrectAnswer": true, "minValue": "ansyvalue", "scripts": {}, "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": true, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "allowFractions": true, "correctAnswerStyle": "plain"}], "scripts": {}, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "sortAnswers": false}], "rulesets": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "advice": "", "preamble": {"css": "", "js": ""}, "functions": {}, "extensions": [], "name": "cormac's copy of Katherine's copy of Simultaneous equations: linear and quadratic, one point", "variable_groups": [], "variables": {"root2": {"definition": "root1", "name": "root2", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "quadxcoeff": {"definition": "sroots+grad", "name": "quadxcoeff", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "ansyvalue": {"definition": "grad*root1+yint", "name": "ansyvalue", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "quadccoeff": {"definition": "proots+yint", "name": "quadccoeff", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "yint": {"definition": "random(-6..6 except 0)", "name": "yint", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "grad": {"definition": "random(-6..6 except 0)", "name": "grad", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "root1": {"definition": "random(-12..12)", "name": "root1", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "proots": {"definition": "root1*root2", "name": "proots", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "sroots": {"definition": "-root1-root2", "name": "sroots", "group": "Ungrouped variables", "templateType": "anything", "description": ""}}, "ungrouped_variables": ["root1", "root2", "grad", "sroots", "proots", "yint", "quadxcoeff", "quadccoeff", "ansyvalue"], "type": "question", "contributors": [{"name": "cormac breen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/306/"}, {"name": "Katherine Tomlinson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1652/"}]}]}], "contributors": [{"name": "cormac breen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/306/"}, {"name": "Katherine Tomlinson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1652/"}]}