// Numbas version: finer_feedback_settings
{"name": "Equivalent Expressions", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["a", "asq", "b", "c", "g", "h", "j", "d", "f"], "name": "Equivalent Expressions", "tags": ["algebra", "equivalent expressions"], "preamble": {"css": "", "js": ""}, "advice": "<p>This interactive&nbsp;<a href=\"http://www.mathcentre.ac.uk/resources/uploaded/2009algebrarefresherv4.pdf\">Algebra Refresher Booklet</a> provides help and practice with algebra.</p>", "rulesets": {}, "parts": [{"distractors": ["It might help to think of this as multiplying out two brackets.", ""], "prompt": "<p>${(\\simplify {t&nbsp; + {a}})^2}$&nbsp;&nbsp; and&nbsp;&nbsp; $ t^2 + \\var{asq}$</p>", "matrix": [0, "1"], "shuffleChoices": false, "variableReplacements": [], "choices": ["<p>Yes, the expressions are equivalent.</p>", "<p>No, the expressions will not always take the same value.</p>"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": 0, "scripts": {}, "marks": 0, "displayColumns": 0, "showCorrectAnswer": true, "type": "1_n_2", "minMarks": 0}, {"distractors": ["Remember that you need to multiply all the terms in the bracket by the number outside.", ""], "prompt": "<p>$ \\var{b}(\\simplify{t + {c}})$ and $\\var{b}t +\\var{c}$</p>", "matrix": [0, "1"], "shuffleChoices": false, "variableReplacements": [], "choices": ["<p>Yes, the expressions are equivalent.</p>", "<p>No, the expressions will not always have the same value.</p>"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": 0, "scripts": {}, "marks": 0, "displayColumns": 0, "showCorrectAnswer": true, "type": "1_n_2", "minMarks": 0}, {"distractors": ["", ""], "prompt": "<p>$ \\dfrac { \\var{d}t - \\var{f}}{\\var{g}}$ and $ \\var{h}t - \\var{j}$</p>", "matrix": ["1", 0], "shuffleChoices": false, "variableReplacements": [], "choices": ["<p>Yes, the expressions are equivalent.</p>", "<p>No, the expressions will not always take the same value.</p>"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": 0, "scripts": {}, "marks": 0, "displayColumns": 0, "showCorrectAnswer": true, "type": "1_n_2", "minMarks": 0}], "extensions": [], "statement": "<p>Two algebraic expressions are <strong>equivalent </strong>if they take the same value whatever the value of the variable (in this case&nbsp;$t$).</p>\n<p>Are the following pairs of expressions equivalent? </p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(-5..9 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "asq": {"definition": "a^2", "templateType": "anything", "group": "Ungrouped variables", "name": "asq", "description": ""}, "b": {"definition": "random(-8..-3)", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "d": {"definition": "g*h", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "description": ""}, "g": {"definition": "random(2..8)", "templateType": "anything", "group": "Ungrouped variables", "name": "g", "description": ""}, "f": {"definition": "g*j", "templateType": "anything", "group": "Ungrouped variables", "name": "f", "description": ""}, "h": {"definition": "random(1..7)", "templateType": "anything", "group": "Ungrouped variables", "name": "h", "description": ""}, "j": {"definition": "random(1..7 except h)", "templateType": "anything", "group": "Ungrouped variables", "name": "j", "description": ""}, "c": {"definition": "random(2..8)", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}}, "metadata": {"description": "<p>True/false questions on multiplying brackets and dividing an expression by a number.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}]}]}], "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}]}