{"id":"cb_question_bank:921cf21a-cf52-4948-be8e-c7489d24cfe3","source_id":"cb_question_bank","source_item_id":"921cf21a-cf52-4948-be8e-c7489d24cfe3","external_id":null,"ibn":"031616-DC","question_id":"294db8ec","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.A.","skill":"Equivalent expressions","difficulty":"E","score_band":1,"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 2 x cubed, plus 4 ?","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/43ed42ad8153a43399b48f74203a53b3381a174811bacf0d9d5e91cc1300cc85\" alt=\"2 x cubed, plus 4 \"></span></span>?</p>\n","rationale_html":"<p>Choice D is correct. The expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/43ed42ad8153a43399b48f74203a53b3381a174811bacf0d9d5e91cc1300cc85\" alt=\"2 x cubed, plus 4 \"></span> has two terms, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d5615ad095c0778a18886c6d4025d5230f339a26f252ae601b757cea0db2f6f2\" alt=\"2 x cubed \"></span> and 4. The greatest common factor of these two terms is 2. Factoring 2 from each of these terms yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7d6cdcb317d63d8e1e44fa48780aeb3fc025ca32471abf67390c7ea2a181cdd4\" alt=\"2 times x cubed, plus, 2 times 2\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/bad2864ffdd80c7f9d91ffd0f086d70f373fce38db1b63e9d5fee5bdc9c7b348\" alt=\"2 times, open parenthesis, x cubed plus 2, close parenthesis\"></span>.</p><p>Choices A and B are incorrect because 4 is not a factor of the term <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d5615ad095c0778a18886c6d4025d5230f339a26f252ae601b757cea0db2f6f2\" alt=\"2 x cubed\"></span>. Choice C is incorrect and may result from factoring 2 from <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d5615ad095c0778a18886c6d4025d5230f339a26f252ae601b757cea0db2f6f2\" alt=\"2 x cubed \"></span> but not from 4.</p><p></p>\n","correct_answer":["D"],"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_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0755857b016c1102609887a7ad54aaccb4ea421b1c053ac1d63ad31c72ae5c0c\" alt=\"4 times open parenthesis, x cubed, plus 4, 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/a406c5e7c0a8d559ba3a234385f354fecc8d95097e46e85dc7c9cbe1ed33974a\" alt=\"4 times open parenthesis, x cubed, plus 2, 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/4e04d8850be5f00a75f474df5a9b0904e28fe1814d4421605cb0f07d6b6d7a5b\" alt=\"2 times open parenthesis, x cubed, plus 4, close parenthesis\"></span></span>\n          </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/bad2864ffdd80c7f9d91ffd0f086d70f373fce38db1b63e9d5fee5bdc9c7b348\" alt=\"2 times open parenthesis, x cubed, plus 2, close parenthesis\"></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}}