{"id":"cb_question_bank:ea2d85be-756b-43a4-931f-233d2270c78c","source_id":"cb_question_bank","source_item_id":"ea2d85be-756b-43a4-931f-233d2270c78c","external_id":"be5faa6c-0169-41dd-90d9-1eb1a8bdeca1","ibn":null,"question_id":"1e8d7183","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 expression is equivalent to 256 w squared minus 676 ?","stimulus":"","stimulus_html":null,"stem_html":"

Which expression is equivalent to \n\t\n\t\t256\n\t\t\n\t\t\tw\n\t\t\t2\n\t\t\n\t\n\t-\n\t676\n\n?

","rationale_html":"

Choice D is correct. The given expression follows the difference of two squares pattern, x2-y2, which factors as x-yx+y. Therefore, the expression 256w2-676 can be written as 16w2-262, or 16w16w-2626, which factors as 16w-2616w+26.

\n

Choice A is incorrect. This expression is equivalent to 256w2-832w+676.

\n

Choice B is incorrect. This expression is equivalent to 64w2-169.

\n

Choice C is incorrect. This expression is equivalent to 64w2-208w+169.

","correct_answer":["D"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.821000+00:00","source_updated_at":"2023-08-02T20:25:59.821000+00:00","options":[{"label":"A","content_html":"

(16w-26)(16w-26)

","ord":0},{"label":"B","content_html":"

\n\t\n\t\t\n\t\t\t\n\t\t\t\t8\n\t\t\t\tw\n\t\t\t\n\t\t\t-\n\t\t\t13\n\t\t\n\t\n\t\n\t\t\n\t\t\t\n\t\t\t\t8\n\t\t\t\tw\n\t\t\t\n\t\t\t+\n\t\t\t13\n\t\t\n\t\n\n

","ord":1},{"label":"C","content_html":"

(8w-13)(8w-13)

","ord":2},{"label":"D","content_html":"

\n\t\n\t\t\n\t\t\t\n\t\t\t\t16\n\t\t\t\tw\n\t\t\t\n\t\t\t-\n\t\t\t26\n\t\t\n\t\n\t\n\t\t\n\t\t\t\n\t\t\t\t16\n\t\t\t\tw\n\t\t\t\n\t\t\t+\n\t\t\t26\n\t\t\n\t\n\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}}