{"id":"cb_question_bank:48a964a9-8d6a-4d10-9d2c-29ab66a3cf11","source_id":"cb_question_bank","source_item_id":"48a964a9-8d6a-4d10-9d2c-29ab66a3cf11","external_id":null,"ibn":"05768-DC","question_id":"7392dfc1","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Which of the following is equivalent to 4 x plus 6 equals 12 ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">Which of the following is equivalent to <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/db16259a47ee661fdf39b7258ed4e8cb32a0cac55790099dae563dc9b228f41b\" alt=\"4 x plus 6 equals 12\"></span></span> ?</p>\n","rationale_html":"<p>Choice D is correct. Dividing&nbsp;each side of the original equation by <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d870b3a6c89096490c39cc291dea5fd94193a953487d36d45d7f8548ac0b8f4e\" alt=\"\"></span> yields&nbsp;<span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/35625a7b7130a5021ba2bcfe7b520225dba38db4de9a06f81e1cef69092557d6\" alt=\"the fraction with numerator 4 x plus 6, and denominator 2, equals twelve halves\"></span>, which simplifies to&nbsp;<span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/359f27eae21bd0be64106104bd3b81da352dea86282c7a83ed2a67a6bbcd33f1\" alt=\"2 x plus 3, equals 6\"></span>.</p><p>Choice A is incorrect. Dividing each side of the original equation by <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d870b3a6c89096490c39cc291dea5fd94193a953487d36d45d7f8548ac0b8f4e\" alt=\"\"></span> gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/359f27eae21bd0be64106104bd3b81da352dea86282c7a83ed2a67a6bbcd33f1\" alt=\"2 x plus 3, equals 6\"></span>, which is not equivalent to <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/27bfd7e8520e91059df1a0362431ea5f88ac48fbe5143df89b37de7d032f9b07\" alt=\"2 x plus 4, equals 6\"></span>. Choice B is incorrect. Dividing each side of the original equation by&nbsp;<span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8bf3fb601176e63eeff4df74d894a4d3ef6f5b84afee5e9254a35c1ddf0f625c\" alt=\"\"></span> gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c789f484515b88b17938da64d65dfeb4db251c6cde85bc387b9a3fec7b54b693\" alt=\"x plus three halves, equals 3\"></span>, which is not equivalent to <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/888f311ed97b7bb8d224d71f2face92053262dbf828ff873320186ea4229237a\" alt=\"x plus 3, equals 3\"></span>. Choice C is incorrect. Dividing each side of the original equation by <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b35ae18904fb781bd47e663cf02b992965491e4f50b31194e7d69870143879cd\" alt=\"\"></span> gives&nbsp;<span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ea2ffd69dd6e62d59a66e34cc20d891b5fc52e9d86e63d5c1e1691a53d87fc36\" alt=\"four thirds x, plus 2, equals 4\"></span>, which is not equivalent to <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/54f42e0d98b4e0f694e7c1b05a562e8f9c1b2815e61ca32415ee0a520018c2fe\" alt=\"3 x plus 2, equals 4\"></span>.&nbsp;</p><p></p>\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.630000+00:00","source_updated_at":"2023-08-02T20:25:59.630000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/27bfd7e8520e91059df1a0362431ea5f88ac48fbe5143df89b37de7d032f9b07\" alt=\"2 x plus 4, equals 6\"></span></span>\n          </p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/888f311ed97b7bb8d224d71f2face92053262dbf828ff873320186ea4229237a\" alt=\"x plus 3, equals 3\"></span></span>\n          </p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/54f42e0d98b4e0f694e7c1b05a562e8f9c1b2815e61ca32415ee0a520018c2fe\" alt=\"3 x plus 2, equals 4\"></span></span>\n          </p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/359f27eae21bd0be64106104bd3b81da352dea86282c7a83ed2a67a6bbcd33f1\" alt=\"2 x plus 3, equals 6\"></span></span>\n          </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}}