// Numbas version: finer_feedback_settings
{"name": "Hussam's copy of Hussam's copy of How to enter algebraic fractions - Getting Started", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variablesTest": {"maxRuns": 100, "condition": ""}, "functions": {}, "variables": {"d": {"definition": "random(2..9 except [round(b*c/a),c])", "templateType": "anything", "name": "d", "group": "Ungrouped variables", "description": ""}, "c": {"definition": "random(2..9)", "templateType": "anything", "name": "c", "group": "Ungrouped variables", "description": ""}, "a": {"definition": "random(2..16#2)", "templateType": "anything", "name": "a", "group": "Ungrouped variables", "description": ""}, "b": {"definition": "random(3..15#2)", "templateType": "anything", "name": "b", "group": "Ungrouped variables", "description": ""}}, "extensions": [], "name": "Hussam's copy of Hussam's copy of How to enter algebraic fractions - Getting Started", "variable_groups": [], "ungrouped_variables": ["a", "c", "b", "d"], "rulesets": {"std": ["all", "!collectNumbers"]}, "tags": ["algebraic input", "brackets", "checked2015", "input", "introduction", "mathematical expressions", "numbas", "Numbas", "ratios", "Ratios"], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Inputting ratios of algebraic expressions.</p>"}, "advice": "<p><strong>a)</strong> The correct input is <code>({a}+{b}x)/({c}+{d}y)</code> - the rest are incorrect and you should have ticked those.</p>\n<p><strong>b)</strong> A correct input is <code>({b} + {a}y) / ({c} + {d}z)</code>. Also correct is <code>({a}y+{b}) / ({c} + {d}z)</code> etc.</p>\n<p><strong>c)</strong> A correct input is <code>({d}z + {b}) / ((x + {a})*(y + {c}))</code>.</p>\n<p>Note the denominator (the bottom of the ratio) has to have two brackets, i.e. <code>((x + {a})*(y + {c}))</code> as otherwise the expression <code>({d}z + {b}) / (x + {a})*(y + {c})</code> is seen by the system as $\\displaystyle \\left(\\simplify[std]{({d} * z + {b}) / (x + {a})}\\right) (y + \\var{c})$</p>\n<p><strong>d)</strong> A correct input is <code>({a} -({b}x + {c})*e ^ ( -{2}x)) / ((x + {2*b})*(y -{3*d}))</code></p>", "parts": [{"variableReplacements": [], "type": "gapfill", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "prompt": "<p><strong>Examples</strong></p>\n<p>Suppose we wanted to input the expression &nbsp;$\\displaystyle \\frac{\\var{a}+\\var{b}x}{\\var{c}+\\var{d}y}$ into the system.</p>\n<p>Which of the following input expressions are <em><strong>incorrect</strong></em>?</p>\n<p>[[0]]</p>\n<p>Choose the incorrect input(s): (You lose 3 marks if you choose the wrong one!)</p>\n<p>If you click on <em>Submit part</em>, then on <em>Show feedback</em>,&nbsp;you will be given more detail on your choices.</p>\n<p>You can click on <em>Reveal</em> at the top of the window to see solutions, but it's best to work these through yourself. Remember you can always redo the question by clicking on <em>Try another question like this one</em>&nbsp;at the bottom.</p>", "marks": 0, "scripts": {}, "gaps": [{"scripts": {}, "displayColumns": 1, "maxMarks": 0, "maxAnswers": 0, "minMarks": 0, "choices": ["<p><code>({a}+{b}x)/({c}+{d}y)</code></p>", "<p><code>{a}+{b}x/({c}+{d}y)</code></p>", "<p><code>{a}+{b}x/{c}+{d}y</code></p>", "<p><code>({a}+{b}x)/{c}+{d}y</code></p>"], "type": "m_n_2", "minAnswers": 0, "marks": 0, "shuffleChoices": true, "variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "matrix": [-3, 1, 1, 1], "displayType": "checkbox", "distractors": ["This is the correct input, so your choice is wrong!", "Good choice as the system thinks this is $\\simplify[std]{ {a}+{b}x/({c}+{d}y)}$ and not $\\simplify[std]{ ({a}+{b}x)/({c}+{d}y)}$", "Good choice as the system thinks this is $\\simplify[std]{ {a}+{b}x/{c}+{d}y}$ and not $\\simplify[std]{ ({a}+{b}x)/({c}+{d}y)}$", "Good choice as the system thinks this is $\\simplify[std]{ ({a}+{b}x)/{c}+{d}y}$ and not $\\simplify[std]{ ({a}+{b}x)/({c}+{d}y)}$"], "warningType": "none"}]}, {"variableReplacements": [], "type": "gapfill", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "prompt": "<p>Input the expression $\\displaystyle \\frac{\\var{b}+\\var{a}y}{\\var{d}+\\var{c}z}$ here: [[0]]</p>", "marks": 0, "scripts": {}, "gaps": [{"scripts": {}, "type": "jme", "variableReplacementStrategy": "originalfirst", "vsetrangepoints": 5, "answer": "({b}+{a}y)/({d}+{c}z)", "checkvariablenames": false, "marks": 1, "checkingtype": "absdiff", "expectedvariablenames": [], "variableReplacements": [], "showpreview": true, "showCorrectAnswer": true, "vsetrange": [0, 1], "checkingaccuracy": 0.001, "answersimplification": "std"}]}, {"variableReplacements": [], "type": "gapfill", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "prompt": "<p>Input the expression $\\displaystyle \\frac {\\var{d} z + \\var{b}} {(x + \\var{a}) (y + \\var{c})}$ here: [[0]]</p>", "marks": 0, "scripts": {}, "gaps": [{"scripts": {}, "type": "jme", "variableReplacementStrategy": "originalfirst", "vsetrangepoints": 5, "answer": "({d} * z + {b}) / ((x + {a}) * (y + {c}))", "checkvariablenames": false, "marks": 1, "checkingtype": "absdiff", "expectedvariablenames": [], "variableReplacements": [], "showpreview": true, "showCorrectAnswer": true, "vsetrange": [0, 1], "checkingaccuracy": 0.001, "answersimplification": "std"}]}, {"variableReplacements": [], "type": "gapfill", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "prompt": "<p>Input the expression $\\displaystyle \\simplify[std]{({a} -(({b} * x + {c}) * e ^ (( -{2}) * x))) / ((x + {2 * b}) * (y -{3* d}))}$ here: [[0]]</p>", "marks": 0, "scripts": {}, "gaps": [{"scripts": {}, "type": "jme", "variableReplacementStrategy": "originalfirst", "vsetrangepoints": 5, "answer": "({a} -(({b} * x + {c}) * e ^ (( -{2}) * x))) / ((x + {2  b}) * (y -{3* d}))", "checkvariablenames": false, "marks": 1, "checkingtype": "absdiff", "expectedvariablenames": [], "variableReplacements": [], "showpreview": true, "showCorrectAnswer": true, "vsetrange": [0, 1], "checkingaccuracy": 0.0001, "answersimplification": "std"}]}], "preamble": {"js": "", "css": ""}, "statement": "<p><strong>Ratios of Algebraic Expressions.</strong></p>\n<p>By this we mean expressions of the form $\\displaystyle \\frac{p(x)}{q(x)}$ where $p(x)$ and $q(x)$ are algebraic expressions.</p>\n<p>If you want to input such an expression into the system you <strong>HAVE TO BE CAREFUL AND USE BRACKETS</strong> otherwise mistakes will occur.</p>\n<p>Once again, the box displaying your input in mathematical notation beside the input boxes in parts 2, 3 and 4 is very useful as it shows what the system thinks you have entered.&nbsp;</p>\n<p>For complicated expressions this is essential as you can check you have written what you really meant.</p>", "type": "question", "contributors": [{"name": "Hussam Muhamedsalih", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2515/"}]}]}], "contributors": [{"name": "Hussam Muhamedsalih", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2515/"}]}