// 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": [{"statement": "", "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "variablesTest": {"maxRuns": "100", "condition": ""}, "variables": {"ans4": {"group": "Ungrouped variables", "description": "", "definition": "h-j", "name": "ans4", "templateType": "anything"}, "f": {"group": "Ungrouped variables", "description": "", "definition": "random(-25..25 except [0,g])", "name": "f", "templateType": "anything"}, "ans1": {"group": "Ungrouped variables", "description": "", "definition": "b-a", "name": "ans1", "templateType": "anything"}, "ans2": {"group": "Ungrouped variables", "description": "", "definition": "c+d", "name": "ans2", "templateType": "anything"}, "c": {"group": "Ungrouped variables", "description": "", "definition": "random(2..40)", "name": "c", "templateType": "anything"}, "h": {"group": "Ungrouped variables", "description": "", "definition": "random(-25..25 except [0])", "name": "h", "templateType": "anything"}, "g": {"group": "Ungrouped variables", "description": "", "definition": "random(-25..25 except 0)", "name": "g", "templateType": "anything"}, "j": {"group": "Ungrouped variables", "description": "", "definition": "random(-25..25 except [0,h])", "name": "j", "templateType": "anything"}, "ans3": {"group": "Ungrouped variables", "description": "", "definition": "g-f", "name": "ans3", "templateType": "anything"}, "a": {"group": "Ungrouped variables", "description": "", "definition": "random(1..12)", "name": "a", "templateType": "anything"}, "d": {"group": "Ungrouped variables", "description": "", "definition": "random(-12..12 except [0,c,-c])", "name": "d", "templateType": "anything"}, "b": {"group": "Ungrouped variables", "description": "", "definition": "random(-40..40 except [0,a])", "name": "b", "templateType": "anything"}}, "functions": {}, "tags": [], "extensions": [], "parts": [{"steps": [{"type": "information", "scripts": {}, "extendBaseMarkingAlgorithm": true, "marks": 0, "unitTests": [], "showFeedbackIcon": true, "variableReplacements": [], "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "prompt": "
Given $x+\\var{a}=\\var{b}$, we subtract $\\var{a}$ from both sides to get $x$ by itself.
\n\n$x+\\var{a}$ | \n$=$ | \n$\\var{b}$ | \n
$x+\\var{a}-\\var{a}$ | \n$=$ | \n$\\var{b}-\\var{a}$ | \n
$x$ | \n$=$ | \n$\\var{ans1}$ | \n
Given $x+\\var{a}=\\var{b}$, we can rearrange the equation to that find $x=$ [[0]].
", "variableReplacementStrategy": "originalfirst", "sortAnswers": false, "marks": 0, "variableReplacements": [], "unitTests": [], "showCorrectAnswer": true}, {"steps": [{"type": "information", "scripts": {}, "extendBaseMarkingAlgorithm": true, "marks": 0, "unitTests": [], "showFeedbackIcon": true, "variableReplacements": [], "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "prompt": "Given $y-\\var{c}=\\var{d}$, we add $\\var{c}$ to both sides to get $y$ by itself.
\n\n$y-\\var{c}$ | \n$=$ | \n$\\var{d}$ | \n
$y-\\var{c}+\\var{c}$ | \n$=$ | \n$\\var{d}+\\var{c}$ | \n
$y$ | \n$=$ | \n$\\var{ans2}$ | \n
Given $y-\\var{c}=\\var{d}$, $y=$ [[0]].
", "variableReplacementStrategy": "originalfirst", "sortAnswers": false, "marks": 0, "variableReplacements": [], "unitTests": [], "showCorrectAnswer": true}, {"steps": [{"type": "information", "scripts": {}, "extendBaseMarkingAlgorithm": true, "marks": 0, "unitTests": [], "showFeedbackIcon": true, "variableReplacements": [], "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "prompt": "Given $\\var{f}+z=\\var{g}$, we subtract $\\var{f}$ from both sides to get $z$ by itself.
\n\n$\\var{f}+z$ | \n$=$ | \n$\\var{g}$ | \n
$\\simplify[basic]{{f}+z-{f}}$ | \n$=$ | \n$\\simplify[basic]{{g}-{f}}$ | \n
$z$ | \n$=$ | \n$\\var{ans3}$ | \n
Rearrange $\\var{f}+z=\\var{g}$ to determine the value of $z$.
\n$z=$ [[0]]
", "variableReplacementStrategy": "originalfirst", "sortAnswers": false, "marks": 0, "variableReplacements": [], "unitTests": [], "showCorrectAnswer": true}, {"steps": [{"type": "information", "scripts": {}, "extendBaseMarkingAlgorithm": true, "marks": 0, "unitTests": [], "showFeedbackIcon": true, "variableReplacements": [], "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "prompt": "Given $\\var{h}=\\var{j}+a$, we subtract $\\var{j}$ from both sides to get $a$ by itself.
\n\n$\\var{h}$ | \n$=$ | \n$\\var{j}+a$ | \n
$\\simplify[basic]{{h}-{j}}$ | \n$=$ | \n$\\simplify[basic]{{j}+a-{j}}$ | \n
$\\var{ans4}$ | \n$=$ | \n$a$ | \n
$a$ | \n$=$ | \n$\\var{ans4}$ | \n
Solve $\\var{h}=\\var{j}+a$ for $a$.
\n$a=$ [[0]]
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