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{"name": "NC PreCalculus U1L2 Solving Equations -- Linear", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"extensions": [], "variable_groups": [], "rulesets": {}, "parts": [{"scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": false, "minValue": "xValue[0]/xValue[1]", "allowFractions": false, "variableReplacementStrategy": "originalfirst", "showPrecisionHint": true, "maxValue": "xValue[0]/xValue[1]", "precisionPartialCredit": "50", "marks": 1, "prompt": "<p>HINT:&nbsp;<em>Let f(x) equal the LHS of the equation, and g(x) equal the RHS of the equation, and then graph each and find their intersection point.</em></p>", "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "customMarkingAlgorithm": "", "mustBeReducedPC": "50", "variableReplacements": [], "precisionMessage": "You have not given your answer to the correct precision.", "type": "numberentry", "strictPrecision": true, "useCustomName": false, "unitTests": [], "precisionType": "dp", "precision": "2", "correctAnswerStyle": "plain", "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "customName": ""}], "preamble": {"css": "", "js": ""}, "metadata": {"description": "", "licence": "All rights reserved"}, "functions": {}, "ungrouped_variables": ["A", "B", "C", "D", "F", "xValue"], "name": "NC PreCalculus U1L2 Solving Equations -- Linear", "statement": "<p>Solve for&nbsp;<em>x</em>.</p>\n<p>$\\simplify{{A}*({B}*x+{C})={D}*x+{F}}$</p>", "variables": {"A": {"description": "", "templateType": "anything", "definition": "random(-15..15 except 0)", "group": "Ungrouped variables", "name": "A"}, "F": {"description": "", "templateType": "anything", "definition": "random(-20..20 except 0)", "group": "Ungrouped variables", "name": "F"}, "xValue": {"description": "", "templateType": "anything", "definition": "rational_approximation((F-A*C)/(A*B-D))", "group": "Ungrouped variables", "name": "xValue"}, "C": {"description": "", "templateType": "anything", "definition": "random(-5..5 except 0)", "group": "Ungrouped variables", "name": "C"}, "D": {"description": "", "templateType": "anything", "definition": "random(-10..10 except A*B)", "group": "Ungrouped variables", "name": "D"}, "B": {"description": "", "templateType": "anything", "definition": "random(-10..10 except 0)", "group": "Ungrouped variables", "name": "B"}}, "tags": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "advice": "", "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}]}], "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}