{"id":"cb_question_bank:fb76ec68-3edd-4b8d-9b8e-0bda88340166","source_id":"cb_question_bank","source_item_id":"fb76ec68-3edd-4b8d-9b8e-0bda88340166","external_id":"b63fa866-0dfd-4de5-8017-16574107aa40","ibn":null,"question_id":"a73a5c22","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"E","score_band":2,"answer_type":"mcq","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 10 x plus 8 . What is the value of g left parenthesis x right parenthesis when x equals 8 ?","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 10 x plus 8\"><mi>g</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mrow><mn>10</mn></mrow><mi>x</mi><mo>+</mo><mrow><mn>8</mn></mrow></math>. What is the value of <math alttext=\"g left parenthesis x right parenthesis\"><mi>g</mi><mfenced><mi>x</mi></mfenced></math> when <math alttext=\"x equals 8\"><mrow>\n\t<mi>x</mi>\n\t<mo>=</mo>\n\t<mn>8</mn>\n</mrow>\n</math>?</p>","rationale_html":"<p>Choice D is correct. The value of&nbsp;<math alttext=\"g left parenthesis x right parenthesis\"><mi>g</mi><mfenced><mi>x</mi></mfenced></math> when&nbsp;<math alttext=\"x equals 8\"><mi>x</mi><mo>=</mo><mn>8</mn></math> can be found by substituting <math alttext=\"8\"><mn>8</mn>\n</math> for <math alttext=\"x\"><mi>x</mi>\n</math> in the given equation <math alttext=\"g left parenthesis x right parenthesis equals 10 x plus 8\"><mi>g</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mn>10</mn><mi>x</mi><mo>+</mo><mn>8</mn></math>. This yields <math alttext=\"g left parenthesis 8 right parenthesis equals 10 left parenthesis 8 right parenthesis plus 8\"><mi>g</mi><mfenced><mn>8</mn></mfenced><mo>=</mo><mn>10</mn><mfenced><mn>8</mn></mfenced><mo>+</mo><mn>8</mn></math>, or <math alttext=\"g left parenthesis 8 right parenthesis equals 88\"><mi>g</mi><mfenced><mn>8</mn></mfenced><mo>=</mo><mn>88</mn></math>. Therefore, when <math alttext=\"x equals 8\"><mi>x</mi><mo>=</mo><mn>8</mn></math>, the value of <math alttext=\"g left parenthesis x right parenthesis\"><mi>g</mi><mfenced><mi>x</mi></mfenced></math> is <math alttext=\"88\"><mn>88</mn>\n</math>.</p>\n<p>Choice A is incorrect. This is the value of <math alttext=\"x\"><mi>x</mi>\n</math> when&nbsp;<math alttext=\"g left parenthesis x right parenthesis equals 8\"><mi>g</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mn>8</mn></math>, rather than the value of&nbsp;<math alttext=\"g left parenthesis x right parenthesis\"><mi>g</mi><mfenced><mi>x</mi></mfenced></math> when&nbsp;<math alttext=\"x equals 8\"><mi>x</mi><mo>=</mo><mn>8</mn></math>.</p>\n<p>Choice B is incorrect and may result from conceptual or calculation errors.</p>\n<p>Choice C is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["D"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.812000+00:00","source_updated_at":"2023-08-02T20:25:59.812000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"0\"><mn>0</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"8\"><mn>8</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"10\"><mn>10</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"88\"><mn>88</mn>\n</math></p>","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}}