{"id":"cb_question_bank:71c66ca7-8efa-42ed-8224-b0f95bc397b0","source_id":"cb_question_bank","source_item_id":"71c66ca7-8efa-42ed-8224-b0f95bc397b0","external_id":"d3019424-6572-4d26-990d-bc85bde91bda","ibn":null,"question_id":"f79fffba","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 h is defined by h left parenthesis x right parenthesis equals 3 x minus 7 . What is the value of h left parenthesis negative 2 right parenthesis ?","stimulus":"","stimulus_html":null,"stem_html":"<p>The function <math alttext=\"h\"><mi>h</mi>\n</math> is defined by&nbsp;<math alttext=\"h left parenthesis x right parenthesis equals 3 x minus 7\"><mi>h</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mrow><mn>3</mn></mrow><mi>x</mi><mo>-</mo><mrow><mn>7</mn></mrow></math>. What is the value of&nbsp;<math alttext=\"h left parenthesis negative 2 right parenthesis\"><mi>h</mi><mfenced><mrow><mo>-</mo><mrow><mn>2</mn></mrow></mrow></mfenced></math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice A is correct. The value of&nbsp;<math alttext=\"h left parenthesis negative 2 right parenthesis\"><mi>h</mi><mfenced><mrow><mo>-</mo><mn>2</mn></mrow></mfenced></math> can be found by substituting <math alttext=\"negative 2\"><mo>-</mo><mn>2</mn>\n</math> for <math alttext=\"x\"><mi>x</mi>\n</math> in the equation defining <math alttext=\"h\"><mi>h</mi>\n</math>. Substituting <math alttext=\"negative 2\"><mo>-</mo><mn>2</mn>\n</math> for <math alttext=\"x\"><mi>x</mi>\n</math> in <math alttext=\"h left parenthesis x right parenthesis equals 3 x minus 7\"><mi>h</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mn>3</mn><mi>x</mi><mo>-</mo><mn>7</mn></math> yields <math alttext=\"h left parenthesis negative 2 right parenthesis equals 3 left parenthesis negative 2 right parenthesis minus 7\"><mi>h</mi><mfenced><mrow><mo>-</mo><mn>2</mn></mrow></mfenced><mo>=</mo><mn>3</mn><mfenced><mrow><mo>-</mo><mn>2</mn></mrow></mfenced><mo>-</mo><mn>7</mn></math>, or <math alttext=\"h left parenthesis negative 2 right parenthesis equals negative 13\"><mi>h</mi><mfenced><mrow><mo>-</mo><mn>2</mn></mrow></mfenced><mo>=</mo><mo>-</mo><mn>13</mn></math>. Therefore, the value of&nbsp;<math alttext=\"h left parenthesis negative 2 right parenthesis\"><mi>h</mi><mfenced><mrow><mo>-</mo><mn>2</mn></mrow></mfenced></math> is <math alttext=\"negative 13\"><mo>-</mo><mn>13</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice B is incorrect. This is the value of&nbsp;<math alttext=\"h left parenthesis negative 1 right parenthesis\"><mi>h</mi><mfenced><mrow><mo>-</mo><mn>1</mn></mrow></mfenced></math>, not&nbsp;<math alttext=\"h left parenthesis negative 2 right parenthesis\"><mi>h</mi><mfenced><mrow><mo>-</mo><mn>2</mn></mrow></mfenced></math>.</p>\n<p style=\"text-align: left;\">Choice C is incorrect and may result from conceptual or calculation errors.</p>\n<p style=\"text-align: left;\">Choice D is incorrect and may result from conceptual or calculation errors.<br>&nbsp;</p>","correct_answer":["A"],"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":[{"label":"A","content_html":"<p><math alttext=\"negative 13\"><mo>-</mo><mn>13</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"negative 10\"><mo>-</mo><mn>10</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=\"13\"><mn>13</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}}