{"id":"cb_question_bank:119743e6-90de-4f11-a3d4-3313e3fb742c","source_id":"cb_question_bank","source_item_id":"119743e6-90de-4f11-a3d4-3313e3fb742c","external_id":null,"ibn":"016475-DC","question_id":"ad2ec615","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.A.","skill":"Equivalent expressions","difficulty":"M","score_band":4,"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 expression x to the fourth power, minus x squared, minus 6 ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">Which of the following is equivalent to the expression <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/26d18012e841d3653063db2c7756b0df34cddb40432c126ffd6b2201bbbd7263\" alt=\"x to the fourth power, minus x squared, minus 6\"></span></span> ?</p>\n","rationale_html":"<p>Choice B is correct. The term <span class=\"italic\">x</span><sup>4</sup> can be factored as <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0ea2b0d5e7e48c98ba899fc2e339d7de740e303317be3f77198fd5cb950f63ba\" alt=\"x squared, times, x squared\"></span>. Factoring –6 as <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/fdf37b3a68cc9b65b84d58939b7a52e63aa233ddcfeea155ef2cb3f38ff81824\" alt=\"2 times negative 3\"></span> yields values that add to –1, the coefficient of <span class=\"italic\">x</span><sup>2</sup> in the expression.</p><p>Choices A, C, and D are incorrect and may result from finding factors of –6 that don’t add to the coefficient of <span class=\"italic\">x</span><sup>2</sup> in the original expression.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.615000+00:00","source_updated_at":"2023-08-02T20:25:59.615000+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/b2d6be9a29c1aef586f2caaee34a150735fc62c3497daf7b1d23e2fc3e4b382d\" alt=\"open parenthesis, x squared plus 1, close parenthesis, times, open parenthesis, x squared minus 6, close parenthesis\"></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/b48324c406d350f01754bf8b8c22c56d0f365c002c7c4bc6a7bf675a66cd1b6b\" alt=\"open parenthesis, x squared plus 2, close parenthesis, times, open parenthesis, x squared minus 3, close parenthesis\"></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/3b999f748fdaf412381ebd9103bf37a54d96b03e0891f0c56f75daa10dbb4466\" alt=\"open parenthesis, x squared plus 3, close parenthesis, times, open parenthesis, x squared minus 2, close parenthesis\"></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/c9b7fac075ab63b76917e57f651dbb0fd8585f10c6d1d6cd6c662dd53bdb0b4c\" alt=\"open parenthesis, x squared plus 6, close parenthesis, times, open parenthesis, x squared minus 1, close parenthesis\"></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}}