{"id":"cb_question_bank:ce5847dd-653d-4d75-9ae5-9095da280187","source_id":"cb_question_bank","source_item_id":"ce5847dd-653d-4d75-9ae5-9095da280187","external_id":null,"ibn":"027912-DC","question_id":"eb268057","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.B.","skill":"Nonlinear equations in one variable and systems of equations in two variables","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 values of x satisfies the given equation?","stimulus":"x squared, equals 64","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/af6c14bd482eb90fd5aa351bbc82235d401b9791bf027f630ef9ecc4f8724ce9\" alt=\"x squared, equals 64\"></span></span>\n        </p>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">Which of the following values of <span class=\"italic\">x</span> satisfies the given equation?</p>\n","rationale_html":"<p>Choice A is correct. Solving for <span class=\"italic\">x</span> by taking the square root of both sides of the given equation yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a96e9d385800b7527327e54feec0d311f481505d8d4219d42e8ba89899a239ea\" alt=\"x equals 8 \"></span> or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8df4f73e708ed481a74749682c8f5f6d67031abf846bfa7d2c3fd009893ae44b\" alt=\"x equals negative 8\"></span>. Of the choices given, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0074a4418aa88cd673760d477e8b81bfb5e2a1a048bed34062ed94e05b6de763\" alt=\"negative 8 \"></span> satisfies the given equation.</p><p>Choice B is incorrect and may result from a calculation error when solving for <span class=\"italic\">x</span>. Choice C is incorrect and may result from dividing 64 by 2 instead of taking the square root. Choice D is incorrect and may result from multiplying 64 by 2 instead of taking the square root.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.622000+00:00","source_updated_at":"2023-08-02T20:25:59.622000+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/0074a4418aa88cd673760d477e8b81bfb5e2a1a048bed34062ed94e05b6de763\" alt=\"negative 8\"></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/8bf3fb601176e63eeff4df74d894a4d3ef6f5b84afee5e9254a35c1ddf0f625c\" alt=\"4\"></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/d0cc8aea356657cd51bef3660bfc94e56b83b429b056f9d6d1220811952d6124\" alt=\"32\"></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/4c2a1c720b98cfbf8a26d3ccf7b997e9c67a07cb862dc20b210bca332b423a0b\" alt=\"128\"></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}}