{"id":"cb_question_bank:a90c1035-5d21-4325-b17a-569ee37d5986","source_id":"cb_question_bank","source_item_id":"a90c1035-5d21-4325-b17a-569ee37d5986","external_id":null,"ibn":"022240-DC","question_id":"7a987ae4","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"E","score_band":3,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"If 2 n over 5, equals 10 , what is the value of 2 n, minus 1 ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">If <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c8ef40ae730fbc5d51d4ee83e1d3b28c139b3dc80b35a6d8a1c6a26be48e2dc3\" alt=\"2 n over 5, equals 10\"></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/c5a45dbf2988f192dac5ce0e2ebfd92e2da362a26c5e15970c116d25039435f4\" alt=\"2 n, minus 1\"></span></span> ?</p>\n","rationale_html":"<p>Choice B is correct. Multiplying both sides of the given equation by 5 yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7449cd3082d65664b6fd630a552c2fd3588d4da9279f0e28167b63d64f8334a1\" alt=\"2 n equals 50\"></span>. Substituting 50 for <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/270860f2fad33c84824762f19921ea4169ac1884e0c5a06a7e570554924fcf40\" alt=\"2 n\"></span> in the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c5a45dbf2988f192dac5ce0e2ebfd92e2da362a26c5e15970c116d25039435f4\" alt=\"2 n minus 1\"></span> yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b760154abb4f82ad1bf7ae8a42d8e12b88a0926c9ccf0a13e8a9c5bf06ebaa00\" alt=\"50 minus 1, equals 49\"></span>.</p><p>Alternate approach: Dividing both sides of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7449cd3082d65664b6fd630a552c2fd3588d4da9279f0e28167b63d64f8334a1\" alt=\"2 n equals 50\"></span> by 2 yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/84bbd73c0afc87e22cbe2e2e9169a6652af84fb2a02218c7459ee5af35b3023f\" alt=\"n equals 25\"></span>. Evaluating the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c5a45dbf2988f192dac5ce0e2ebfd92e2da362a26c5e15970c116d25039435f4\" alt=\"2 n minus 1\"></span> for <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/84bbd73c0afc87e22cbe2e2e9169a6652af84fb2a02218c7459ee5af35b3023f\" alt=\"n equals 25\"></span> yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/441433edcf50bf98f8e01641454ba9557d7d16b8f7ea93e025c0a7ebb7c95e9e\" alt=\"2 times 25, minus 1, equals 49\"></span>.</p><p>Choice A is incorrect and may result from finding the value of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c2be1722be7dd8f5bcb72ac7def3f3ae356daaffbb679664b81514f3bde1d268\" alt=\"n minus 1\"></span> instead of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c5a45dbf2988f192dac5ce0e2ebfd92e2da362a26c5e15970c116d25039435f4\" alt=\"2 n minus 1\"></span>. Choice C is incorrect and may result from finding the value of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/270860f2fad33c84824762f19921ea4169ac1884e0c5a06a7e570554924fcf40\" alt=\"2 n\"></span> instead of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c5a45dbf2988f192dac5ce0e2ebfd92e2da362a26c5e15970c116d25039435f4\" alt=\"2 n minus 1\"></span>. Choice D is incorrect and may result from finding the value of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ba58b4176f1cc8580a909b875c4d23e8e98cfd2262aac4fc9c53f4a6e228c900\" alt=\"4 n minus 1\"></span> instead of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c5a45dbf2988f192dac5ce0e2ebfd92e2da362a26c5e15970c116d25039435f4\" alt=\"2 n minus 1\"></span>.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.617000+00:00","source_updated_at":"2023-08-02T20:25:59.617000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">24</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">49</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">50</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">99</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}}