{"id":"cb_question_bank:39d29973-22c5-4565-a5de-4e5a8233440a","source_id":"cb_question_bank","source_item_id":"39d29973-22c5-4565-a5de-4e5a8233440a","external_id":"6aba0416-d25e-4a28-b655-c5623b3b71c0","ibn":null,"question_id":"0d391910","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"E","score_band":2,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The function f is defined by f left parenthesis x right parenthesis equals 4 x . For what value of x does f left parenthesis x right parenthesis equals 8 ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">The function <math alttext=\"f\"><mi>f</mi>\n</math> is defined by <math alttext=\"f left parenthesis x right parenthesis equals 4 x\"><mi>f</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mrow><mn>4</mn></mrow><mi>x</mi></math>. For what value of <math alttext=\"x\"><mi>x</mi>\n</math> does <math alttext=\"f left parenthesis x right parenthesis equals 8\"><mi>f</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mrow><mn>8</mn></mrow></math>?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"2\"><mn>2</mn>\n</math>. Substituting <math alttext=\"8\"><mn>8</mn>\n</math> for <math alttext=\"f left parenthesis x right parenthesis\"><mi>f</mi><mfenced><mi>x</mi></mfenced></math> in the given equation&nbsp;yields <math alttext=\"8 equals 4 x\"><mn>8</mn><mo>=</mo><mn>4</mn><mi>x</mi></math>. Dividing the left- and right-hand sides of this equation by <math alttext=\"4\"><mn>4</mn>\n</math> yields <math alttext=\"x equals 2\"><mi>x</mi><mo>=</mo><mn>2</mn></math>. Therefore, the value of <math alttext=\"x\"><mi>x</mi>\n</math> is <math alttext=\"2\"><mn>2</mn>\n</math> when <math alttext=\"f left parenthesis x right parenthesis equals 8\"><mi>f</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mn>8</mn></math>.</p>","correct_answer":["2"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.813000+00:00","source_updated_at":"2023-08-02T20:25:59.813000+00:00","options":[],"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}}