{"id":"cb_question_bank:17d4d867-c370-45f8-b1c5-774e8fa4cf24","source_id":"cb_question_bank","source_item_id":"17d4d867-c370-45f8-b1c5-774e8fa4cf24","external_id":null,"ibn":"08176-DC","question_id":"06fc1726","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"If f is the function defined by f of x equals, the fraction with numerator 2 x minus 1, and denominator 3 , what is the value of f of 5 ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">If <span class=\"italic\"><span class=\"formatted_text font_style:italic \">f</span></span> is the function defined by <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e44afe27cae88cf2a76d5ffbbb5ef9c95f18b1092e451e7467aba3eb82272a60\" alt=\"f of x equals, the fraction with numerator 2 x minus 1, and denominator 3\"></span></span>, what is the value of <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/df5d1496582d2abf9166164b09490bb988c481acb1397fca79ca6b0e913ceb33\" alt=\"f of 5\"></span></span> ?</p>\n","rationale_html":"<p>Choice C is correct. If <span class=\"italic\"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e44afe27cae88cf2a76d5ffbbb5ef9c95f18b1092e451e7467aba3eb82272a60\" alt=\"f of x, equals the fraction with numerator 2 x minus 1, and denominator 3\"></span></span><span class=\"italic\"></span>, then <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/325526de09ee432be25acf0628fe7b600f496c50089cd5ac6b773e6665e37e5b\" alt=\"f of 5, equals the fraction with numerator 2 times 5, minus 1, and denominator 3, which equals the fraction with numerator 10 minus 1, and denominator 3, which equals the fraction 9 over 3, which equals 3\"></span>.<span class=\"italic\"></span></p><p>Choice A is incorrect and may result from not multiplying <span class=\"italic\">x</span> by 2 in the numerator. Choice B is incorrect and may result from dividing 2<span class=\"italic\">x</span> by 3&nbsp;and then subtracting 1. Choice D is incorrect and may&nbsp;result from evaluating only the numerator&nbsp;2<span class=\"italic\">x </span>– 1.</p><p></p>\n","correct_answer":["C"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.635000+00:00","source_updated_at":"2023-08-02T20:25:59.635000+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/7d77fb8768425f7020ba8a9d03526d943ac39093b47727dd5e6390654b5a137f\" alt=\"4 thirds\"></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/e98ab85e743ac43f08a5560a51da07806f44fedab01294ad67cb601ec4b00dd6\" alt=\"7 thirds\"></span></span>\n          </p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">3</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">9</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}}