// Numbas version: exam_results_page_options
{"name": "Heather's copy of Algebra vocabulary", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"parts": [{"variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "gaps": [{"showCorrectAnswer": true, "displayColumns": 0, "scripts": {}, "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "distractors": ["", "", "", ""], "shuffleChoices": false, "choices": ["<p>Simplified</p>", "<p>Expanded</p>", "<p>Factorised</p>", "<p>Solved</p>"], "matrix": ["1", 0, 0, 0], "maxMarks": 0, "showFeedbackIcon": true, "marks": 0, "minMarks": 0, "displayType": "dropdownlist"}], "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>The following equation, $2a +3a = 5a$ has been&nbsp;[[0]], due to the collection of like terms.</p>"}, {"variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "gaps": [{"showCorrectAnswer": true, "displayColumns": 0, "scripts": {}, "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "distractors": ["", "", "", ""], "shuffleChoices": false, "choices": ["<p>Simplify</p>", "<p>Calculate</p>", "<p>Divide</p>", "<p>Solve</p>"], "matrix": [0, 0, 0, "1"], "maxMarks": 0, "showFeedbackIcon": true, "marks": 0, "minMarks": 0, "displayType": "dropdownlist"}], "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>[[0]]&nbsp;$5x = 30$, obtaining the solution $x=6$.</p>"}, {"variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "gaps": [{"showCorrectAnswer": true, "displayColumns": 0, "scripts": {}, "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "distractors": ["", "", "", ""], "shuffleChoices": false, "choices": ["<p>Simplify</p>", "<p>Calculate</p>", "<p>Divide</p>", "<p>Solve</p>"], "matrix": ["0", "1", 0, "0"], "maxMarks": 0, "showFeedbackIcon": true, "marks": 0, "minMarks": 0, "displayType": "dropdownlist"}], "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>5 students measured their heights.&nbsp;[[0]] the average of their heights.</p>\n<p></p>"}, {"variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "gaps": [{"showCorrectAnswer": true, "displayColumns": 0, "scripts": {}, "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "distractors": ["", "", "", ""], "shuffleChoices": false, "choices": ["<p>Symbol</p>", "<p>Term</p>", "<p>Formula</p>", "<p>Variable</p>"], "matrix": ["0", 0, "0", "1"], "maxMarks": 0, "showFeedbackIcon": true, "marks": 0, "minMarks": 0, "displayType": "dropdownlist"}], "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>The&nbsp;[[0]] x is unknown.</p>\n<p></p>"}, {"variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "gaps": [{"showCorrectAnswer": true, "displayColumns": 0, "scripts": {}, "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "distractors": ["", "", "", ""], "shuffleChoices": false, "choices": ["<p>Variable</p>", "<p>Equation</p>", "<p>Formula</p>", "<p>Linear</p>"], "matrix": [0, "1", "0", 0], "maxMarks": 0, "showFeedbackIcon": true, "marks": 0, "minMarks": 0, "displayType": "dropdownlist"}], "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>Jane buys 2 cups and 3 mugs. The total number of cups and mugs can be expressed using the following&nbsp;[[0]]: $ 2+3=5$.</p>"}, {"variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "gaps": [{"showCorrectAnswer": true, "displayColumns": 0, "scripts": {}, "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "distractors": ["", "", "", ""], "shuffleChoices": false, "choices": ["<p>Solution</p>", "<p>Equation</p>", "<p>Formula</p>", "<p>Definition</p>"], "matrix": ["0", 0, "1", 0], "maxMarks": 0, "showFeedbackIcon": true, "marks": 0, "minMarks": 0, "displayType": "dropdownlist"}], "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>The [[0]]&nbsp;for the area of a triangle is $\\frac{\\mathrm{base} \\times \\mathrm{height}}{2}$.</p>"}, {"variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "gaps": [{"showCorrectAnswer": true, "displayColumns": 0, "scripts": {}, "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "distractors": ["", "", "", ""], "shuffleChoices": false, "choices": ["<p>Multiplied</p>", "<p>Expanded</p>", "<p>Factorised</p>", "<p>Solved</p>"], "matrix": [0, "1", 0, 0], "maxMarks": 0, "showFeedbackIcon": true, "marks": 0, "minMarks": 0, "displayType": "dropdownlist"}], "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>The following expression has been [[0]]&nbsp;$(x+3)(x-1) = x^2 +2x - 3$.</p>\n<p></p>"}, {"variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "gaps": [{"showCorrectAnswer": true, "displayColumns": 0, "scripts": {}, "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "distractors": ["", "", "", ""], "shuffleChoices": false, "choices": ["<p>Simplified</p>", "<p>Expanded</p>", "<p>Factorised</p>", "<p>Calculated</p>"], "matrix": [0, "0", "1", 0], "maxMarks": 0, "showFeedbackIcon": true, "marks": 0, "minMarks": 0, "displayType": "dropdownlist"}], "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>The expression $2x^2 +4x -6 = 2(x-1)(x+3)$ has been&nbsp;[[0]]</p>\n<p></p>"}, {"variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "gaps": [{"showCorrectAnswer": true, "displayColumns": 0, "scripts": {}, "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "distractors": ["", "", "", ""], "shuffleChoices": false, "choices": ["<p>Linear</p>", "<p>Expanded</p>", "<p>Quadratic</p>", "<p>Parabola</p>"], "matrix": ["1", 0, 0, 0], "maxMarks": 0, "showFeedbackIcon": true, "marks": 0, "minMarks": 0, "displayType": "dropdownlist"}], "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>An&nbsp;expression or equation that is plotted as a straight line is said to be&nbsp;[[0]]</p>"}, {"variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "gaps": [{"showCorrectAnswer": true, "displayColumns": 0, "scripts": {}, "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "distractors": ["", "", "", ""], "shuffleChoices": false, "choices": ["<p>Linear</p>", "<p>Quadratic</p>", "<p>Formula</p>", "<p>Function</p>"], "matrix": [0, "1", "0", 0], "maxMarks": 0, "showFeedbackIcon": true, "marks": 0, "minMarks": 0, "displayType": "dropdownlist"}], "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>A [[0]]&nbsp;equation will include an $x^2$ term. For example, $y =&nbsp;x^2+2x-3$.</p>\n<p></p>"}, {"variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "gaps": [{"showCorrectAnswer": true, "displayColumns": 0, "scripts": {}, "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "distractors": ["", "", "", ""], "shuffleChoices": false, "choices": ["<p>Variable</p>", "<p>Term</p>", "<p>Coefficient</p>", "<p>Symbol</p>"], "matrix": [0, "1", 0, 0], "maxMarks": 0, "showFeedbackIcon": true, "marks": 0, "minMarks": 0, "displayType": "dropdownlist"}], "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>$5y$ is a [[0]]&nbsp;in $3x+5y$.</p>"}, {"variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "gaps": [{"showCorrectAnswer": true, "displayColumns": 0, "scripts": {}, "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "distractors": ["", "", "", ""], "shuffleChoices": false, "choices": ["<p>Constant</p>", "<p>Coefficient</p>", "<p>Variable</p>", "<p>Term</p>"], "matrix": [0, "1", 0, "0"], "maxMarks": 0, "showFeedbackIcon": true, "marks": 0, "minMarks": 0, "displayType": "dropdownlist"}], "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>In $2x$, $2$ is the [[0]]&nbsp;of $x$.</p>\n<p></p>"}, {"variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "gaps": [{"showCorrectAnswer": true, "displayColumns": 0, "scripts": {}, "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "distractors": ["", "", "", ""], "shuffleChoices": true, "choices": ["<p>Quadratic</p>", "<p>Linear</p>", "<p>Hyperbola</p>", "<p>Parabola</p>"], "matrix": [0, 0, 0, "1"], "maxMarks": 0, "showFeedbackIcon": true, "marks": 0, "minMarks": 0, "displayType": "dropdownlist"}], "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>&nbsp;The 'U shaped' curve on a quadratic graph is called a [[0]].</p>\n<p></p>"}], "extensions": [], "variable_groups": [], "variablesTest": {"condition": "", "maxRuns": 100}, "name": "Heather's copy of Algebra vocabulary", "preamble": {"js": "", "css": ""}, "statement": "<p>Fill the gaps in the following sentences.</p>\n<p>In each case, choose the word which best fits in the sentence.</p>", "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>A&nbsp;fill-in-the-blank style question to test vocabulary within the topic of Algebra.</p>"}, "ungrouped_variables": ["test"], "functions": {}, "advice": "<p>The words and their definitions are as follows:</p>\n<table border=\"1\" cellpadding=\"10\" style=\"border-color: #CCC;\">\n<tbody>\n<tr>\n<th style=\"text-align: left;\"><strong><em></em>Word</strong></th>\n<th style=\"text-align: left;\"><strong>Definition</strong></th>\n<th style=\"text-align: left;\"><strong>Example</strong></th>\n</tr>\n<tr>\n<td style=\"text-align: left;\"><strong></strong>Simplify</td>\n<td style=\"text-align: left;\">Put into its simplest form.</td>\n<td style=\"text-align: left;\">The following equation, $2a +3a = 5a$ has been&nbsp;<strong>simplified</strong>&nbsp;. Due to the collection of like terms.</td>\n</tr>\n<tr>\n<td style=\"text-align: left;\"><strong></strong>Solve</td>\n<td style=\"text-align: left;\">To obtain a solution to a mathematical problem.</td>\n<td style=\"text-align: left;\"><strong>Solve</strong>&nbsp;$5x = 30$, obtaining the solution $x=6$.</td>\n</tr>\n<tr>\n<td style=\"text-align: left;\">Calculate</td>\n<td style=\"text-align: left;\">You will need to do a sum to reach the answer.</td>\n<td style=\"text-align: left;\">5 students measured their heights;&nbsp;<strong>calculate</strong>&nbsp;the average of their heights.</td>\n</tr>\n<tr>\n<td style=\"text-align: left;\"><strong></strong>Variable</td>\n<td style=\"text-align: left;\">An unknown value that is represented by a letter.</td>\n<td style=\"text-align: left;\">The&nbsp;<strong>variable</strong>&nbsp;x is unknown.</td>\n</tr>\n<tr>\n<td style=\"text-align: left;\">Equation</td>\n<td style=\"text-align: left;\">Will always have an equals sign and both sides are equal.</td>\n<td style=\"text-align: left;\">Jane buys 2 cups and 3 mugs. The total number of cups and mugs can be expressed using the following&nbsp;<strong>equation</strong>:<strong>&nbsp;</strong>$ 2+3=5$.</td>\n</tr>\n<tr>\n<td style=\"text-align: left;\"><strong></strong>Formula</td>\n<td style=\"text-align: left;\">A way of showing a known equation using numbers and letters.</td>\n<td style=\"text-align: left;\">The&nbsp;<strong>formula</strong>&nbsp;for the area of a triangle is $\\frac{\\mathrm{base} \\times \\mathrm{height}}{2}$.</td>\n</tr>\n<tr>\n<td style=\"text-align: left;\">Expand</td>\n<td style=\"text-align: left;\">Removing the brackets.</td>\n<td style=\"text-align: left;\">The following expression has been&nbsp;<strong>expanded</strong>: $(x+3)(x-1) = x^2 +2x - 3$.</td>\n</tr>\n<tr>\n<td style=\"text-align: left;\">Factorise</td>\n<td style=\"text-align: left;\">To put in brackets, finding a common factor; this is usually the simplest form.</td>\n<td style=\"text-align: left;\">The expression $2x^2 +4x -6 = 2(x-1)(x+3)$ has been&nbsp;<strong>factorised</strong>.</td>\n</tr>\n<tr>\n<td style=\"text-align: left;\">Linear</td>\n<td style=\"text-align: left;\">An expression or equation that is plotted as a straight line.</td>\n<td style=\"text-align: left;\">An&nbsp;expression or equation that is plotted as a straight line is said to be&nbsp;<strong>linear</strong>.</td>\n</tr>\n<tr>\n<td style=\"text-align: left;\">Quadratic</td>\n<td style=\"text-align: left;\">An expression or equation that is plotted as a parabola curve. Will include an $x^2$ term.</td>\n<td style=\"text-align: left;\">For example, $y =&nbsp;x^2+2x-3$.</td>\n</tr>\n<tr>\n<td style=\"text-align: left;\">Term</td>\n<td style=\"text-align: left;\">A component of an expression or equation.</td>\n<td style=\"text-align: left;\">$5y$ is a&nbsp;<strong>term</strong>&nbsp;in $3x+5y$.</td>\n</tr>\n<tr>\n<td style=\"text-align: left;\">Coefficient</td>\n<td style=\"text-align: left;\">The number in front of a variable to make a term.</td>\n<td style=\"text-align: left;\">In $2x$, $2$ is the&nbsp;<strong>coefficient</strong>&nbsp;of $x$.</td>\n</tr>\n<tr>\n<td style=\"text-align: left;\"><strong></strong>Parabola</td>\n<td style=\"text-align: left;\">The 'U shaped' curve on a quadratic graph.</td>\n<td style=\"text-align: left;\">A banana shape can be described as a&nbsp;<strong>parabola</strong></td>\n</tr>\n</tbody>\n</table>", "variables": {"test": {"name": "test", "definition": "random(\"words\")", "group": "Ungrouped variables", "description": "<p>Only here to be able to publish the question.</p>", "templateType": "anything"}}, "tags": ["algebra", "Algebra", "taxonomy", "vocabulary"], "rulesets": {}, "type": "question", "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Aiden McCall", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1592/"}, {"name": "Heather Driscoll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1703/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Aiden McCall", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1592/"}, {"name": "Heather Driscoll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1703/"}]}