{"id":"cb_question_bank:e861d030-2cba-446e-9105-6b3ccc73d582","source_id":"cb_question_bank","source_item_id":"e861d030-2cba-446e-9105-6b3ccc73d582","external_id":null,"ibn":"08357-DC","question_id":"45bba652","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"If 2 times, open parenthesis, x minus 5, close parenthesis, plus 3 times, open parenthesis, x minus 5, close parenthesis, equals 10 , what is the value of x minus 5 ?","stimulus":"","stimulus_html":"<div class=\"stimulus_reference \">\n        <p class=\"standalone_statement style:1 \"></p>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">If <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/006429726156b634ab2a693bc919cc7184cd59dedc192ebec021df9b89160665\" alt=\"2 times, open parenthesis, x minus 5, close parenthesis, plus 3 times, open parenthesis, x minus 5, close parenthesis, equals 10\"></span></span>, what is the value of <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6e96abbcb9b2f794ad2a6cbd8cecd4a84b50faeb7d01a3e03d3270d6e53a7e06\" alt=\"x minus 5\"></span></span> ?</p>\n","rationale_html":"<p>Choice A is correct. Adding the like terms on the left-hand side of the given equation yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0455997fe7789e5e053dade27cf2c0cfddecc48fb702ce5ed8be994003fe89d1\" alt=\"5 times, open parenthesis, x minus 5, close parenthesis, equals 10\"></span>. Dividing both sides of this equation by 5 yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/aed6c3e8fc094205c3a6baa603122074899c34f4e5936da2babe298f51f1b709\" alt=\"x minus 5, equals 2\"></span>.</p><p>Choice B is incorrect and may result from subtracting 5, not dividing by 5, on both sides of the equation <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0455997fe7789e5e053dade27cf2c0cfddecc48fb702ce5ed8be994003fe89d1\" alt=\"5 times, open parenthesis, x minus 5, close parenthesis, equals 10\"></span>. Choice C is incorrect. This is the value of <span class=\"italic\">x</span>, not the value of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ef6dc0ad3bf1812ecdf69a898afd745a3c4f335768cc9dc4e7287400d37b1e2f\" alt=\"x minus 5\"></span>. Choice D is incorrect. This is the value of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/f774c766794ca6883d8aa2c0e5603f5668852b808fcfb2f4940cd18d6758cb03\" alt=\"x plus 5\"></span>, not the value of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ef6dc0ad3bf1812ecdf69a898afd745a3c4f335768cc9dc4e7287400d37b1e2f\" alt=\"x minus 5\"></span>.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.635000+00:00","source_updated_at":"2023-08-02T20:25:59.635000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">2</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">5</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">7</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">12</p>\n","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}