{"id":"cb_question_bank:09d3d2eb-5974-4e59-a9f5-68c66d0659d8","source_id":"cb_question_bank","source_item_id":"09d3d2eb-5974-4e59-a9f5-68c66d0659d8","external_id":null,"ibn":"027123-DC","question_id":"e312081b","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.A.","skill":"Equivalent expressions","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 the given expression?","stimulus":"","stimulus_html":"<div class=\"stimulus_reference \">\n\t<p class=\"standalone_statement style:1 \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/44b2e0c9e182f8dfcde071ae3c507d797c7d46be0482baab89ebbdf1199afd0e\" alt=\"\"></span></span></p>\n</div>\n","stem_html":"<p class=\"stem_paragraph \">Which of the following is equivalent to the given expression?</p>\n","rationale_html":"<p>Choice B is correct. Using the associative and commutative properties of addition, the given expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1fc9b7f79c21a12cebb5df0fab417406f21b4f27872ea0f14fe49f33d6ea1858\" alt=\"open parenthesis, x plus 5, close parenthesis, plus, open parenthesis, 2 x minus 3, close parenthesis \"></span> can be rewritten as <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/69f97a3b956cdccc406e5e38fb5d757423b0bfd847a77b545372ac761cfa8480\" alt=\"open parenthesis, x plus 2 x, close parenthesis, plus, open parenthesis, 5 minus 3, close parenthesis\"></span>. Adding these like terms results in <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/48f62d53e211ba8af47e4b7d48fb2c8dc6ef77994468ab0d710d18871f0923e0\" alt=\"3 x plus 2\"></span>.</p><p>Choice A is incorrect and may result from adding <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7e1b294b4e4a5c0c5a7f69da30c5f2f11aabe3488a191722b2a8fd1fcc57c5fe\" alt=\"open parenthesis, x minus 5, close parenthesis, plus, open parenthesis, 2 x plus 3, close parenthesis\"></span>. Choice C is incorrect and may result from adding <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0af72778007ab6e6f75951c12e0a23e5aeb2c6173dda61b16e29cb7b7054d471\" alt=\"open parenthesis, x minus 5, close parenthesis, plus, open parenthesis, 2 x minus 3, close parenthesis\"></span>. Choice D is incorrect and may result from adding <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/964a7ba581dd5c377975681aa7d6e03c9658d2ffd23b37a20cdd37314512ba7f\" alt=\"open parenthesis, x plus 5, close parenthesis, plus, open parenthesis, 2 x plus 3, close parenthesis\"></span>.</p><p>&nbsp;</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.621000+00:00","source_updated_at":"2023-08-02T20:25:59.621000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/2a4f4a72199e20442f85526f4cda8f4891f2e4116a2427543bc1ce4a1bbd914c\" alt=\"3 x minus 2\"></span></p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/48f62d53e211ba8af47e4b7d48fb2c8dc6ef77994468ab0d710d18871f0923e0\" alt=\"3 x plus 2\"></span></p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/78b4516980c742fc646109a5e7232f273c5725c689dc657e71b4b69c15473f84\" alt=\"3 x minus 8\"></span></p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/667776535d70317e1debc846e2c67e1020c4590abdb625164d393ab36dd75737\" alt=\"3 x plus 8\"></span></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}}