{"id":"cb_question_bank:dcdbde7e-7521-4bc1-ac80-9a6d02d73397","source_id":"cb_question_bank","source_item_id":"dcdbde7e-7521-4bc1-ac80-9a6d02d73397","external_id":null,"ibn":"028884-DC","question_id":"fb96a5b3","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 expressions is equivalent to 2 times, open parenthesis, a, b minus 3, close parenthesis, plus 2 ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">Which of the following expressions is equivalent to <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/00b58bcedcbe8144b78c4d84bb39325355edd15ea991ba27b535b7257b1ae59f\" alt=\"2 times, open parenthesis, a, b minus 3, close parenthesis, plus 2 \"></span></span> ?</p>\n","rationale_html":"<p>Choice B is correct. Applying the distributive property to the given expression yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b0bc777cac05cbf0ee8aef77f4965eebc9662dff67147442af0a2e2d4bd5031d\" alt=\"2 times a, b, plus, 2 times negative 3, plus 2\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8747d4d879f4b0773e34ab481987297ce7f412ce4cbf8539bc0605cf3766a5f4\" alt=\"2 a, b minus 6, plus 2\"></span>. Adding the like terms <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/f8ac4e862b233acbee95c501658ff49dd21661d2a931c76a597fe7d20c5d70df\" alt=\"negative 6 \"></span> and 2 results in the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/71520851b127e06d0036a0f338d860897bb92fe2a05b5b72b88ded0059b5fcc9\" alt=\"2 a, b minus 4\"></span>.</p><p>Choice A is incorrect and may result from multiplying <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/79ae1f083f20fb313af5aa3a2d0a40bc8f901c2249ea0db93bfe3da32c392c63\" alt=\"a, b \"></span> by 2 without multiplying <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b62558094601a23d6fe95ffbc037ca0c41dd10264b6e51f4163b9ed575c135a3\" alt=\"negative 3 \"></span> by 2 when applying the distributive property. Choices C and D are incorrect and may result from computational or conceptual errors.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.623000+00:00","source_updated_at":"2023-08-02T20:25:59.623000+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/487bfdb94bf1e535a46cd140528d75444be1649aca449c08f1f03db417408c48\" alt=\"2 a, b, minus 1\"></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/71520851b127e06d0036a0f338d860897bb92fe2a05b5b72b88ded0059b5fcc9\" alt=\"2 a, b, minus 4\"></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/a4db23fdfa5a974a8d6a96226527797dc7b4aaf45f6a982ce317a59e28d0e1ae\" alt=\"2 a, b, minus 5\"></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/9540b0c778dde82a0f86e30dcd6ebb345dc5131198d512fe9cbd700ef8b9a4a6\" alt=\"2 a, b, minus 8\"></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}}