{"id":"cb_question_bank:8bc13c17-d38f-42b0-927e-603b404c8c7e","source_id":"cb_question_bank","source_item_id":"8bc13c17-d38f-42b0-927e-603b404c8c7e","external_id":null,"ibn":"016559-DC","question_id":"9ed9f54d","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.A.","skill":"Equivalent expressions","difficulty":"E","score_band":2,"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 2 times, open parenthesis, x squared minus x, close parenthesis, plus 3 times, open parenthesis, x squared minus x, close parenthesis ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">Which of the following is equivalent to <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6992de53f4124c418886bb58bc8576c83214462d705b21532417d318b150d18d\" alt=\"2 times, open parenthesis, x squared minus x, close parenthesis, plus 3 times, open parenthesis, x squared minus x, close parenthesis\"></span></span> ?</p>\n","rationale_html":"<p>Choice A is correct. Since <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a425286e223567fa770afab19501242ff5bd6b8f468b2c754393a752aa94855e\" alt=\"open parenthesis, x squared, minus x, close parenthesis\"></span> is a common term in the original expression, like terms can be added: <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6140ec38c51e2ac1c25aa9935f98563adb4c3c5b341546a7144eb6a166ee25b2\" alt=\"2 times, open parenthesis, x squared, minus x, close parenthesis, plus, 3 times, open parenthesis, x squared, minus x, close parenthesis, equals, 5 times, open parenthesis, x squared, minus x, close parenthesis\"></span>. Distributing the constant term 5 yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/f16a85c40a05948e283693ac5a8ecb8804d1f170214da1c9513017bd1948a61d\" alt=\"5 x squared, minus 5 x\"></span>.</p><p>Choice B is incorrect and may result from not distributing the negative signs in the expressions within the parentheses. Choice C is incorrect and may result from not distributing the negative signs in the expressions within the parentheses and from incorrectly eliminating the <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/3a186314172bc239fb025135d8722d39ee39bfefe4e212836956158aa0b9ff08\" alt=\"x squared\"></span>-term. Choice D is incorrect and may result from incorrectly eliminating the <span class=\"italic\">x</span>-term.</p><p></p>\n","correct_answer":["A"],"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_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/f16a85c40a05948e283693ac5a8ecb8804d1f170214da1c9513017bd1948a61d\" alt=\"5 x squared, minus 5 x\"></span></span>\n          </p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/57188486a40363eace3806f534fba4dab6687ba9c621bec370902f9914a2a165\" alt=\"5 x squared, plus 5 x\"></span></span>\n          </p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">5<span class=\"italic\"><span class=\" italic \">x</span></span></p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">5<span class=\"italic\"><span class=\" italic \">x</span></span><sup>2</sup></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}}