{"id":"cb_question_bank:b66bb2c3-a171-4417-b880-79a0ea548851","source_id":"cb_question_bank","source_item_id":"b66bb2c3-a171-4417-b880-79a0ea548851","external_id":"5dbe783c-201f-4b4a-86db-5f63b8c1f0cc","ibn":null,"question_id":"ce940f80","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":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"StartFraction x squared Over 25 EndFraction equals 36 What is a solution to the given equation?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: center;\"><math alttext=\"StartFraction x squared Over 25 EndFraction equals 36\"><mfrac><msup><mi>x</mi><mn>2</mn></msup><mrow><mn>25</mn></mrow></mfrac><mo>=</mo><mrow><mn>36</mn></mrow></math></p>\n<p style=\"text-align: left;\">What is a solution to the given equation?</p>","rationale_html":"<p>Choice B is correct. Multiplying the left- and right-hand sides of the given equation by <math alttext=\"25\"><mn>25</mn>\n</math> yields <math alttext=\"x squared equals 900\"><msup><mi>x</mi><mn>2</mn></msup><mo>=</mo><mn>900</mn></math>. Taking the square root of the left- and right-hand sides of this equation yields <math alttext=\"x equals 30\"><mi>x</mi><mo>=</mo><mn>30</mn></math> or <math alttext=\"x equals negative 30\"><mi>x</mi><mo>=</mo><mo>-</mo><mn>30</mn></math>. Of these two solutions, only <math alttext=\"30\"><mn>30</mn>\n</math> is given as a choice.</p>\n<p>Choice A is incorrect. This is a solution to the equation <math alttext=\"x squared equals 36\"><msup><mi>x</mi><mn>2</mn></msup><mo>=</mo><mn>36</mn></math>.</p>\n<p>Choice C is incorrect and may result from conceptual or calculation errors.</p>\n<p>Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["B"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.823000+00:00","source_updated_at":"2023-08-02T20:25:59.823000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"6\"><mn>6</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"30\"><mn>30</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"450\"><mn>450</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"900\"><mn>900</mn>\n</math></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}}