$t^2+\\var{a}$.
", "expectedvariablenames": [], "checkingaccuracy": 0, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "answer": "({t}^2)+{a} ", "checkingtype": "absdiff", "checkvariablenames": false, "vsetrange": [0, 1]}, {"prompt": "$-\\var{b}-t$.
", "expectedvariablenames": [], "checkingaccuracy": 0, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "answer": "-({b}+{t})", "checkingtype": "absdiff", "checkvariablenames": false, "vsetrange": [0, 1]}, {"prompt": "$\\dfrac{t^2}{\\var{a}}$.
", "expectedvariablenames": [], "checkingaccuracy": 0, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "answer": "(({t})^2)/{a}", "checkingtype": "absdiff", "checkvariablenames": false, "vsetrange": [0, 1]}, {"prompt": "$-(t^2)+\\var{a}t$.
", "expectedvariablenames": [], "checkingaccuracy": 0, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "answer": "-(({t})^2)+({a}*{t})", "checkingtype": "absdiff", "checkvariablenames": false, "vsetrange": [0, 1]}, {"prompt": "$t^3-\\var{b}t$.
", "expectedvariablenames": [], "checkingaccuracy": 0, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "answer": "(({t})^3)-({t}*{b})", "checkingtype": "absdiff", "checkvariablenames": false, "vsetrange": [0, 1]}], "statement": "Find the values of the following expressions, given the stated value of $t$.
\n$t=\\var{t}$
", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"a": {"definition": "random(8..12)", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "b": {"definition": "random(3..6)", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "t": {"definition": "random(3..7)", "templateType": "anything", "group": "Ungrouped variables", "name": "t", "description": ""}}, "metadata": {"notes": "", "description": "", "licence": "None specified"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Substitution Q2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Hayley Bishop", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/93/"}], "functions": {}, "ungrouped_variables": ["a", "b", "t"], "tags": [], "advice": "", "rulesets": {}, "parts": [{"prompt": "$t^2$.
", "expectedvariablenames": [], "checkingaccuracy": 0, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "answer": "x^2 + 2*{t}*x +{t}^2", "checkingtype": "absdiff", "checkvariablenames": false, "vsetrange": [0, 1]}, {"prompt": "$2t - \\var{b}$.
", "expectedvariablenames": [], "checkingaccuracy": 0, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "answer": "2*x+2{t}-{b} ", "checkingtype": "absdiff", "checkvariablenames": false, "vsetrange": [0, 1]}, {"prompt": "$t^2+\\var{a}t-\\var{b}$.
", "expectedvariablenames": [], "checkingaccuracy": 0, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "answer": "x^2+(2{t}+{a})*x+({a}*{t}+{t}^2-{b})", "checkingtype": "absdiff", "checkvariablenames": false, "vsetrange": [0, 1]}, {"prompt": "$\\var{b}t^3-\\var{a}t$.
", "expectedvariablenames": [], "checkingaccuracy": 0, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "answer": "({b}*x^3)+((3*{b}*{t})*x^2)+((3*{b}*{t}^2-{a})*x)+({b}^3-{a}*{t})", "checkingtype": "absdiff", "checkvariablenames": false, "vsetrange": [0, 1]}], "statement": "Find the value of the following expressions, given the stated value of $t$.
\n$t=x+\\var{t}$
", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"a": {"definition": "random(8..12)", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "b": {"definition": "random(3..6)", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "t": {"definition": "random(3..7)", "templateType": "anything", "group": "Ungrouped variables", "name": "t", "description": ""}}, "metadata": {"notes": "", "description": "", "licence": "None specified"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}]}], "timing": {"timeout": {"action": "none", "message": ""}, "allowPause": true, "timedwarning": {"action": "none", "message": ""}}, "duration": 0, "showQuestionGroupNames": false, "feedback": {"feedbackmessages": [], "intro": "", "showactualmark": true, "showanswerstate": true, "showtotalmark": true, "advicethreshold": 0, "allowrevealanswer": true, "enterreviewmodeimmediately": true, "showexpectedanswerswhen": "inreview", "showpartfeedbackmessageswhen": "always", "showactualmarkwhen": "always", "showtotalmarkwhen": "always", "showanswerstatewhen": "always", "showadvicewhen": "never"}, "percentPass": 0, "metadata": {"description": "Substitute the numeric or algebraic definition of a variable into different expressions.
", "licence": "Creative Commons Attribution 4.0 International"}, "type": "exam", "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}], "extensions": [], "custom_part_types": [], "resources": []}