{"id":"cb_question_bank:d0605cf7-f45a-439d-830a-a4ded9b61458","source_id":"cb_question_bank","source_item_id":"d0605cf7-f45a-439d-830a-a4ded9b61458","external_id":"565e2580-0194-4be0-b5a7-5e2273ce4a14","ibn":null,"question_id":"5a7ab8e8","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"66 x equals 66 x How many solutions does the given equation have?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: center;\"><math alttext=\"66 x equals 66 x\"><mrow><mn>66</mn></mrow><mi>x</mi><mo>=</mo><mrow><mn>66</mn></mrow><mi>x</mi></math></p>\n<p>How many solutions does the given equation have?</p>","rationale_html":"<p style=\"text-align: left;\">Choice C is correct. If the two sides of a linear equation are equivalent, then the equation is true for any value. If an equation is true for any value, it has infinitely many solutions. Since the two sides of the given linear equation <math alttext=\"66 x equals 66 x\"><mn>66</mn><mi>x</mi><mo>=</mo><mn>66</mn><mi>x</mi></math> are equivalent, the given equation has infinitely many solutions.</p>\n<p style=\"text-align: left;\">Choice A is incorrect and may result from conceptual or calculation errors.</p>\n<p style=\"text-align: left;\">Choice B is incorrect and may result from conceptual or calculation errors.</p>\n<p style=\"text-align: left;\">Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["C"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.809000+00:00","source_updated_at":"2023-08-02T20:25:59.809000+00:00","options":[{"label":"A","content_html":"<p>Exactly one</p>","ord":0},{"label":"B","content_html":"<p>Exactly two</p>","ord":1},{"label":"C","content_html":"<p>Infinitely many</p>","ord":2},{"label":"D","content_html":"<p>Zero</p>","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}}