{"id":"cb_question_bank:ce0dd0ce-9d80-485f-8ab6-97e810fbc823","source_id":"cb_question_bank","source_item_id":"ce0dd0ce-9d80-485f-8ab6-97e810fbc823","external_id":null,"ibn":"029490-DC","question_id":"8838a672","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 expressions is equivalent to the expression above?","stimulus":"open parenthesis, 4, x cubed, minus 5, x squared, plus 3, close parenthesis, minus, open parenthesis, 6, x cubed, plus 2, x squared, minus x, close parenthesis","stimulus_html":"<div class=\"stimulus_reference \">\n        <p class=\"standalone_statement style:1 \">\n          <span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/462e91397256bf4b93290aa4829aac0eaf64310e393cd70eca42f0ca0f7aab2b\" alt=\"open parenthesis, 4, x cubed, minus 5, x squared, plus 3, close parenthesis, minus, open parenthesis, 6, x cubed, plus 2, x squared, minus x, close parenthesis\"></span></span>\n        </p>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">Which of the following expressions is equivalent to the expression above?</p>\n","rationale_html":"<p>Choice B is correct. Using the distributive property, the given expression can be rewritten as <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8e0f241db74737d8ff2a1e604e01e1cbcff7ba06dd091e96c0573bd75c10f807\" alt=\"4 x cubed, minus 5 x squared, plus 3, minus 6 x cubed, minus 2 x squared, plus x\"></span>. Combining like terms, this expression can be rewritten as <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/91abf19713f70b3d172f46e93a4a65231401bd5ced2b750a8fe8928da822cb52\" alt=\"open parenthesis, 4 minus 6, close parenthesis, times x cubed, plus, open parenthesis, negative 5 minus 2, close parenthesis, times x squared, plus x, plus 3\"></span>, which is equivalent to <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ecfc4b706ea9d07abdb199d1825c1edfade7686f3906a6b4fadec67338a0650f\" alt=\"negative 2 x cubed, minus 7 x squared, plus x, plus 3\"></span>.</p><p>Choices A, C, and D are incorrect and may result from an error when applying the distributive property or an error when combining like terms.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.626000+00:00","source_updated_at":"2023-08-02T20:25:59.626000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e506c4ef8f4792671ec8c366a40940077ee5f15f7ba9bb1c3c9842f703e36cc4\" alt=\"negative 10, x cubed, minus 3, x squared, plus x, plus 3 \"></span></p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ecfc4b706ea9d07abdb199d1825c1edfade7686f3906a6b4fadec67338a0650f\" alt=\"negative 2, x cubed, minus 7, x squared, plus x, plus 3\"></span></p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/91c61e5c22a0d77464ee319dd015dff8eecdd6286f478d5d1df2b99c467458bf\" alt=\"negative 2, x cubed, minus 3, x squared, plus x, plus 3\"></span></p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/3f42aeb9e9c19c2a828c4e46a84f2da3177a64cd1292adf612929b02909815f1\" alt=\"10, x cubed, minus 7, x squared, minus x, plus 3\"></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}}