{"id":"cb_question_bank:1f70f5a2-5ce8-4972-991e-8eca780742fb","source_id":"cb_question_bank","source_item_id":"1f70f5a2-5ce8-4972-991e-8eca780742fb","external_id":"fa992b50-1873-43ba-8b60-8c6d6bdc7bcc","ibn":null,"question_id":"0b332f00","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 g is defined by g left parenthesis x right parenthesis equals 6 x . For what value of x is g left parenthesis x right parenthesis equals 54 ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">The function <math alttext=\"g\"><mi>g</mi>\n</math> is defined by <math alttext=\"g left parenthesis x right parenthesis equals 6 x\"><mi>g</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mrow><mn>6</mn></mrow><mi>x</mi></math>. For what value of <math alttext=\"x\"><mi>x</mi>\n</math> is <math alttext=\"g left parenthesis x right parenthesis equals 54\"><mi>g</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mn>54</mn>\n</math>?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"9\"><mn>9</mn>\n</math>. It’s given that <math alttext=\"g left parenthesis x right parenthesis equals 6 x\"><mi>g</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mn>6</mn><mi>x</mi></math>. Substituting <math alttext=\"54\"><mn>54</mn>\n</math> for <math alttext=\"g left parenthesis x right parenthesis\"><mi>g</mi><mfenced><mi>x</mi></mfenced></math> in the given function yields <math alttext=\"54 equals 6 x\"><mrow>\n\t<mn>54</mn>\n\t<mo>=</mo>\n\t<mrow>\n\t\t<mn>6</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n</mrow>\n</math>. Dividing both sides of this equation by <math alttext=\"6\"><mn>6</mn>\n</math> yields <math alttext=\"x equals 9\"><mrow>\n\t<mi>x</mi>\n\t<mo>=</mo>\n\t<mn>9</mn>\n</mrow>\n</math>. Therefore, the value of <math alttext=\"x\"><mi>x</mi>\n</math> when <math alttext=\"g left parenthesis x right parenthesis equals 54\"><mi>g</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mn>54</mn></math> is <math alttext=\"9\"><mn>9</mn>\n</math>.</p>","correct_answer":["9"],"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}}