{"id":"cb_question_bank:b5a098b4-d4c0-4768-adff-7506b9af2fe6","source_id":"cb_question_bank","source_item_id":"b5a098b4-d4c0-4768-adff-7506b9af2fe6","external_id":null,"ibn":"015647-DC","question_id":"2683b5db","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.B.","skill":"Nonlinear equations in one variable and systems of equations in two variables","difficulty":"M","score_band":5,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"In a city, the property tax T , in dollars, is calculated using the formula above, where P is the value of the property, in dollars. Which of the following expresses the value of the property in terms of the property tax?","stimulus":"T equals, 0 point 0 1 times, open parenthesis, P minus 40,000, close parenthesis","stimulus_html":"<div class=\"stimulus_reference \">\n        <p class=\"standalone_statement style:1 \">\n          <span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/721371ced725dfae1236f4d8f5bf3057656ebe20e2b76ac7310c833073701206\" alt=\"T equals, 0 point 0 1 times, open parenthesis, P minus 40,000, close parenthesis\"></span></span>\n        </p>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">In a city, the property tax <span class=\"italic\">T</span>, in dollars, is calculated using the formula above, where <span class=\"italic\">P</span> is the value of the property, in dollars. Which of the following expresses the value of the property in terms of the property tax?</p>\n","rationale_html":"<p>Choice D is correct. To express the value of the property in terms of the property tax, the given equation must be solved for <span class=\"italic\">P</span>. Multiplying both sides of the equation by 100 gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ff1f26aa39df41d0e0a70cb8d8dd4b254931f2ab33fc8e58149d65122aacd272\" alt=\"100 T equals, P minus 40,000\"></span>. Adding 40,000 to both sides of the equation gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/37a314caec593b0f3486129b4415575f79acbe107f0101d3fe3b024726832261\" alt=\"100 T plus 40,000, equals P\"></span>. Therefore, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1c24611f32c305f9df5b9167f8a767f192d47cd06881bcc3389b1444e4bc33a0\" alt=\"P equals, 100 T plus 40,000\"></span>.</p><p>Choice A is incorrect and may result from multiplying 40,000 by 0.01, then subtracting 400 from, instead of adding 400 to, the left-hand side of the equation. Choice B is incorrect and may result from multiplying 40,000 by 0.01. Choice C is incorrect and may result from subtracting instead of adding 40,000 from the left-hand side of the equation.</p><p></p>\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.615000+00:00","source_updated_at":"2023-08-02T20:25:59.615000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/04e331f69551c330bb0d3e8ecc9ce5d6f8e03a9273947fb70f9c72d1757ca81b\" alt=\"P equals 100 T, minus 400\"></span></p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/3e9b0c05eaec7297ad64c70c2a8fd81f27e4d8e0aaab876db40635686aecc3af\" alt=\"P equals 100 T, plus 400\"></span></p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9fdb2b8b495d47fdd430430f6d52402fbe07a8b31717c872423f7d4189e42cf9\" alt=\"P equals 100 T, minus 40,000\"></span></p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1c24611f32c305f9df5b9167f8a767f192d47cd06881bcc3389b1444e4bc33a0\" alt=\"P equals 100 T, plus 40,000\"></span></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}}