{"id":"cb_question_bank:f79ab154-b059-4237-a90c-6a7c9c781530","source_id":"cb_question_bank","source_item_id":"f79ab154-b059-4237-a90c-6a7c9c781530","external_id":null,"ibn":"022943-DC","question_id":"4236c5a3","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":"If open parenthesis, x plus 5, close parenthesis, squared, equals 4 , which of the following is a possible value of x ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">If <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ba6b438e4dd8dcad3ac70ac7a2f2fb6673c565e136e505f225abc6a1c798a56a\" alt=\"open parenthesis, x plus 5, close parenthesis, squared, equals 4\"></span></span>, which of the following is a possible value of <span class=\"italic\">x</span> ?</p>\n","rationale_html":"<p>Choice D is correct. If <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/92c8d367e8ddcefe44a6f2b0dcf514cffef7da047616b8b4046c9f2c55c2e55d\" alt=\"open parenthesis, x plus 5, close parenthesis, squared, equals 4\"></span>, then taking the square root of each side of the equation gives <span class=\"italic\"><span class=\"italic\"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c503111e7a2d142232f46fb74c994b871d93ace72bb73b0bb0cef24b37b57633\" alt=\"x plus 5, equals 2\"></span></span></span> or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6d8723b80972d6d88c0437d6092563a38b4b5516ac375e7b12eaed7ded9eddbe\" alt=\"x plus 5, equals negative 2\"></span>. Solving these equations for <span class=\"italic\">x</span> gives <span class=\"italic\"></span><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8e5f912b3fb6f3c9039c512de1942fa4f3d22df1ab62e351912ce1c61fb822e2\" alt=\"x equals negative 3\"></span> or <span class=\"italic\"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/48cf07f633856717c9835c3ddacc7afb0564ec97a21388433b61f98ca30e202d\" alt=\"x equals negative 7\"></span></span>. Of these, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b62558094601a23d6fe95ffbc037ca0c41dd10264b6e51f4163b9ed575c135a3\" alt=\"negative 3\"></span> is the only solution given as a choice.</p><p>Choice A is incorrect and may result from solving the equation <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e2b4e2b9b558e7cddccfc5ccb113b691c17c2a8dc01994078aca1039c2c5e78f\" alt=\"x plus 5, equals 4\"></span> and making a sign error. Choice B is incorrect and may result from solving the equation <span class=\"italic\"></span><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e2b4e2b9b558e7cddccfc5ccb113b691c17c2a8dc01994078aca1039c2c5e78f\" alt=\"x plus 5, equals 4\"></span>. Choice C is incorrect and may result from finding a possible value of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/f774c766794ca6883d8aa2c0e5603f5668852b808fcfb2f4940cd18d6758cb03\" alt=\"x plus 5\"></span>.</p><p></p>\n","correct_answer":["D"],"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":"<span class=\"choice_cell align:right \">1 </span>\n","ord":0},{"label":"B","content_html":"<span class=\"choice_cell align:right \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b3ef0bab498e581649a76baff7488f24fc7f565702b5178801873c0eccc8d6a5\" alt=\"negative 1\"></span></span>\n          </span>\n","ord":1},{"label":"C","content_html":"<span class=\"choice_cell align:right \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ce74cbabbaf45617e6561aad72315be422e849fe95e17b32d71443c7ee5c57e7\" alt=\"negative 2\"></span></span>\n          </span>\n","ord":2},{"label":"D","content_html":"<span class=\"choice_cell align:right \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/fcb3b618cff214ac5a09c033eaa100f5ee4fc55b088acb71912333adf75e3f91\" alt=\"negative 3 \"></span></span>\n          </span>\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}}