{"id":"cb_question_bank:e7b34e19-e23c-4910-9a61-8f27abbd0239","source_id":"cb_question_bank","source_item_id":"e7b34e19-e23c-4910-9a61-8f27abbd0239","external_id":null,"ibn":"08060-DC","question_id":"628300a9","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"H","score_band":6,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A science teacher is preparing the 5 stations of a science laboratory. Each station will have either Experiment A materials or Experiment B materials, but not both. Experiment A requires 6 teaspoons of salt, and Experiment B requires 4 teaspoons of salt. If x is the number of stations that will be set up for Experiment A and the remaining stations will be set up for Experiment B, which of the following expressions represents the total number of teaspoons of salt required?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">A science teacher is preparing the 5&nbsp;stations of a science laboratory. Each station will have either Experiment&nbsp;A materials or Experiment&nbsp;B materials, but not both. Experiment&nbsp;A requires 6&nbsp;teaspoons of salt, and Experiment&nbsp;B requires 4&nbsp;teaspoons of salt. If <span class=\"italic\">x</span> is the number of stations that will be set up for Experiment&nbsp;A and the remaining stations will be set up for Experiment&nbsp;B, which of the following expressions represents the total number of teaspoons of salt required?</p>\n","rationale_html":"<p>Choice C is correct. It is given that <span class=\"italic\">x</span> represents the number of stations that will be set up for Experiment A and that there will be 5 stations total, so it follows that 5 – <span class=\"italic\">x</span> is the number of stations that will be set up for Experiment B. It is also given that Experiment A requires 6 teaspoons of salt and that Experiment B requires 4 teaspoons of salt, so the total number of teaspoons of salt required is 6<span class=\"italic\">x</span> + 4(5 – <span class=\"italic\">x</span>), which simplifies to 2<span class=\"italic\">x</span> + 20.</p><p>Choices A, B, and D are incorrect and may be the result of not understanding the description of the context.</p><p></p>\n","correct_answer":["C"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.634000+00:00","source_updated_at":"2023-08-02T20:25:59.634000+00:00","options":[{"label":"A","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/50611ebeec808dcd975f71686cbf2d8dc2acd50eb9a0bdbb1d8597929526e3a7\" alt=\"5 x\"></span></span>\n","ord":0},{"label":"B","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b8f7ec526d8e867e3f56790cbc245429c5777b2bc14a46e895bc8a7a71f20038\" alt=\"10 x\"></span></span>\n","ord":1},{"label":"C","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/2cfb8d2502c3610dfdddb57e3d17bdc471e00fe94f6bb129a4dcf62629753afc\" alt=\"2 x plus 20\"></span></span>\n","ord":2},{"label":"D","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/21e56a76526c847f7f3a471da5e350451878b4cfef7576c8affcfc51f86afea7\" alt=\"10 x plus 20\"></span></span>\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}}