{"id":"cb_question_bank:cbb5c54e-50a6-4e26-ab7d-f2acf0140451","source_id":"cb_question_bank","source_item_id":"cbb5c54e-50a6-4e26-ab7d-f2acf0140451","external_id":null,"ibn":"022343-DC","question_id":"7348f046","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.A.","skill":"Equivalent expressions","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Which of the following is equivalent to the given expression?","stimulus":"open parenthesis, 2 x plus 3, close parenthesis, minus, open parenthesis, x minus 7, close parenthesis","stimulus_html":"<div class=\"stimulus_reference \">\n        <p class=\"standalone_statement style:1 \">\n          <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/dd36d64401bbef333a6a7fb9e9ca49b2e5e70cf88ff7168fb778b34bb7449b89\" alt=\"open parenthesis, 2 x plus 3, close parenthesis, minus, open parenthesis, x minus 7, close parenthesis\"></span></p>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">Which of the following is equivalent to the given expression?</p>\n","rationale_html":"<p>Choice C is correct. Distributing the negative sign to the terms in the second parentheses yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a831947a0ad922d9ba39a02ec45c80b36d06efe4747d8dc11a2db2ff1fd00ac4\" alt=\"open parenthesis, 2 x plus 3, close parenthesis, minus x, plus 7\"></span>. This expression can be rewritten as <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e560e15faafe762ac8b8bb7836083134b1ce4ea9ff22ca2ed0213e6005a6e5f2\" alt=\"2 x minus x, plus 3, plus 7\"></span>. Combining like terms results in <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9aba83556dc39c534926d7e1818adaa8ff885cc6b898111e06b1d6862b4461ce\" alt=\"x plus 10\"></span>.</p><p>Choice A is incorrect and may result from not distributing the negative sign to the 7. Choice B is incorrect and may result from adding <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9ebdeff47db514760bd91fc9fb6865e68f3b7accd0b848cb0d5ec785adab9532\" alt=\"x minus 7\"></span> to <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/cd1a3946fa4d4f06ade7c9576d97cdd703eab67478ca27b912646511f21fdffc\" alt=\"2 x plus 3 \"></span> instead of subtracting <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9ebdeff47db514760bd91fc9fb6865e68f3b7accd0b848cb0d5ec785adab9532\" alt=\"x minus 7\"></span>. Choice D is incorrect and may result from adding the product of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/3ad1ab966f135e8f8e49df526609c11ae015bcd74fa24b4bb565d5469f14ff35\" alt=\"2 x\"></span> and <span class=\"italic\">x </span>to the product of 3 and 7.</p><p></p>\n","correct_answer":["C"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.618000+00:00","source_updated_at":"2023-08-02T20:25:59.618000+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/7db61bdcf89391afcc0fcef6e9b8446f2b00c6972812f00ded0a4d2c5d59ab77\" alt=\"x minus 4\"></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/278a0f081484881f726d6a350cbb48d77d1cb139fc545947de54fbfa0b0221b6\" alt=\"3 x minus 4\"></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/9aba83556dc39c534926d7e1818adaa8ff885cc6b898111e06b1d6862b4461ce\" alt=\"x plus 10\"></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/09c66dd3bcba3b1e17b84cba194de16de1cd85db1f4a3baf7175c209b6613743\" alt=\"2 x squared, plus 21\"></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}}