// Numbas version: exam_results_page_options
{"name": "Solving linear equations: one step: (*, /)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variablesTest": {"maxRuns": "100", "condition": ""}, "rulesets": {}, "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "extensions": [], "functions": {}, "ungrouped_variables": ["a", "b", "c", "d", "g", "f", "ans3", "h", "j", "ans4"], "variable_groups": [], "advice": "", "parts": [{"variableReplacements": [], "showFeedbackIcon": true, "gaps": [{"variableReplacements": [], "correctAnswerStyle": "plain", "showFeedbackIcon": true, "correctAnswerFraction": true, "mustBeReduced": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "showCorrectAnswer": true, "unitTests": [], "allowFractions": true, "type": "numberentry", "notationStyles": ["plain", "en", "si-en"], "marks": 1, "customMarkingAlgorithm": "", "mustBeReducedPC": 0, "maxValue": "{b}/{a}", "minValue": "{b}/{a}", "variableReplacementStrategy": "originalfirst"}], "extendBaseMarkingAlgorithm": true, "scripts": {}, "showCorrectAnswer": true, "stepsPenalty": "0", "prompt": "<p>Given $\\var{a}x=\\var{b}$, we can rearrange the equation to that find $x=$&nbsp;[[0]].</p>", "steps": [{"prompt": "<p>Given $\\var{a}x=\\var{b}$, we divide both sides by $\\var{a}$ to get $x$ by itself.</p>\n<p></p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">$\\var{a}x$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\var{b}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{\\frac{\\var{a}x}{\\var{a}}}$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\displaystyle{\\frac{\\var{b}}{\\var{a}}}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$x$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\displaystyle{\\simplify{{b}/{a}}}$</td>\n</tr>\n</tbody>\n</table>", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "showFeedbackIcon": true, "type": "information", "customMarkingAlgorithm": "", "marks": 0, "showCorrectAnswer": true, "unitTests": [], "scripts": {}, "variableReplacementStrategy": "originalfirst"}], "type": "gapfill", "marks": 0, "customMarkingAlgorithm": "", "sortAnswers": false, "unitTests": [], "variableReplacementStrategy": "originalfirst"}, {"variableReplacements": [], "showFeedbackIcon": true, "gaps": [{"variableReplacements": [], "correctAnswerStyle": "plain", "showFeedbackIcon": true, "correctAnswerFraction": true, "mustBeReduced": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "showCorrectAnswer": true, "unitTests": [], "allowFractions": true, "type": "numberentry", "notationStyles": ["plain", "en", "si-en"], "marks": 1, "customMarkingAlgorithm": "", "mustBeReducedPC": 0, "maxValue": "{d}/{c}", "minValue": "{d}/{c}", "variableReplacementStrategy": "originalfirst"}], "extendBaseMarkingAlgorithm": true, "scripts": {}, "showCorrectAnswer": true, "stepsPenalty": "0", "prompt": "<p>Given $\\var{c}y=\\var{d}$, &nbsp;$y=$&nbsp;[[0]].</p>", "steps": [{"prompt": "<p>Given $\\var{c}y=\\var{d}$, we divide both sides by $\\var{c}$ to get $y$ by itself.</p>\n<p></p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">$\\var{c}y$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\var{d}$</td>\n</tr>\n<tr>\n<td></td>\n<td></td>\n<td>&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{\\frac{\\var{c}y}{\\var{c}}}$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\displaystyle{\\frac{\\var{d}}{\\var{c}}}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$y$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\displaystyle{\\simplify{{d}/{c}}}$</td>\n</tr>\n</tbody>\n</table>", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "showFeedbackIcon": true, "type": "information", "customMarkingAlgorithm": "", "marks": 0, "showCorrectAnswer": true, "unitTests": [], "scripts": {}, "variableReplacementStrategy": "originalfirst"}], "type": "gapfill", "marks": 0, "customMarkingAlgorithm": "", "sortAnswers": false, "unitTests": [], "variableReplacementStrategy": "originalfirst"}, {"variableReplacements": [], "showFeedbackIcon": true, "gaps": [{"variableReplacements": [], "correctAnswerStyle": "plain", "showFeedbackIcon": true, "correctAnswerFraction": false, "mustBeReduced": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "showCorrectAnswer": true, "unitTests": [], "allowFractions": false, "type": "numberentry", "notationStyles": ["plain", "en", "si-en"], "marks": 1, "customMarkingAlgorithm": "", "mustBeReducedPC": 0, "maxValue": "{ans3}", "minValue": "{ans3}", "variableReplacementStrategy": "originalfirst"}], "extendBaseMarkingAlgorithm": true, "scripts": {}, "showCorrectAnswer": true, "stepsPenalty": "0", "prompt": "<p>Rearrange $\\displaystyle{\\frac{z}{\\var{f}}}=\\var{g}$ to determine the value of $z$.</p>\n<p>$z=$&nbsp;[[0]]</p>", "steps": [{"prompt": "<p>Given $\\displaystyle{\\frac{z}{\\var{f}}}=\\var{g}$, we multiply both sides by $\\var{f}$ to get $z$ by itself.</p>\n<p></p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{\\frac{z}{\\var{f}}}$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\var{g}$</td>\n</tr>\n<tr>\n<td></td>\n<td></td>\n<td>&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{\\frac{z}{\\var{f}}}\\times \\var{f}$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\var{g}\\times\\var{f}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$z$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\var{ans3}$</td>\n</tr>\n</tbody>\n</table>", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "showFeedbackIcon": true, "type": "information", "customMarkingAlgorithm": "", "marks": 0, "showCorrectAnswer": true, "unitTests": [], "scripts": {}, "variableReplacementStrategy": "originalfirst"}], "type": "gapfill", "marks": 0, "customMarkingAlgorithm": "", "sortAnswers": false, "unitTests": [], "variableReplacementStrategy": "originalfirst"}, {"variableReplacements": [], "showFeedbackIcon": true, "gaps": [{"variableReplacements": [], "correctAnswerStyle": "plain", "showFeedbackIcon": true, "correctAnswerFraction": false, "mustBeReduced": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "showCorrectAnswer": true, "unitTests": [], "allowFractions": false, "type": "numberentry", "notationStyles": ["plain", "en", "si-en"], "marks": 1, "customMarkingAlgorithm": "", "mustBeReducedPC": 0, "maxValue": "{ans4}", "minValue": "{ans4}", "variableReplacementStrategy": "originalfirst"}], "extendBaseMarkingAlgorithm": true, "scripts": {}, "showCorrectAnswer": true, "stepsPenalty": "0", "prompt": "<p>Solve $\\displaystyle{\\var{h}=-\\frac{a}{\\var{j}}}$ for $a$.</p>\n<p>$a=$&nbsp;[[0]]</p>", "steps": [{"prompt": "<p>Given $\\displaystyle{\\var{h}=-\\frac{a}{\\var{j}}}$, we multiply both sides by $-\\var{j}$ to get $a$ by itself.</p>\n<p></p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">$\\var{h}$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\displaystyle{-\\frac{a}{\\var{j}}}$</td>\n</tr>\n<tr>\n<td></td>\n<td></td>\n<td>&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\var{h}\\times(-\\var{j})$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\displaystyle{-\\frac{a}{\\var{j}}\\times(-\\var{j})}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\var{ans4}$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$a$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$a$</td>\n<td style=\"text-align: center;\">$=$</td>\n<td style=\"text-align: left;\">$\\var{ans4}$</td>\n</tr>\n</tbody>\n</table>", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "showFeedbackIcon": true, "type": "information", "customMarkingAlgorithm": "", "marks": 0, "showCorrectAnswer": true, "unitTests": [], "scripts": {}, "variableReplacementStrategy": "originalfirst"}], "type": "gapfill", "marks": 0, "customMarkingAlgorithm": "", "sortAnswers": false, "unitTests": [], "variableReplacementStrategy": "originalfirst"}], "preamble": {"js": "", "css": ""}, "name": "Solving linear equations: one step: (*, /)", "variables": {"ans3": {"name": "ans3", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "g*f"}, "f": {"name": "f", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(list(2..12)+[20,50,100,200] except [g])"}, "c": {"name": "c", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(-2..-40)"}, "j": {"name": "j", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(2..12 except [h])"}, "g": {"name": "g", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(-12..12 except [0,1])"}, "a": {"name": "a", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(2..12)"}, "b": {"name": "b", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(-40..40 except 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