{"id":"cb_question_bank:9e2d7987-648c-438b-85a4-73ef24842570","source_id":"cb_question_bank","source_item_id":"9e2d7987-648c-438b-85a4-73ef24842570","external_id":null,"ibn":"022123-DC","question_id":"ce314070","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":"If 4 x minus one half, equals negative 5 , what is the value of 8 x minus 1 ?","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/34acfc2cf06fb401d1ae8705513527a2466c19b1dbed85b21c042f67689fd070\" alt=\"4 x minus one half, equals negative 5\"></span></span>, what is the value of <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/292d6fda6bb4be86e6011e53a2f1494d86972c35de03110f3f7f3c7f6bce3f85\" alt=\"8 x minus 1 \"></span></span>?</p>\n","rationale_html":"<p>Choice D is correct. Multiplying the given equation by 2 on each side yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7128c4a1e498539c42cb1cba40c4a903aa015aa4c48822c9fc2c788c949c91cb\" alt=\"2 times, open parenthesis, 4 x minus one half, close parenthesis, equals, 2 times negative 5\"></span>. Applying the distributive property, this equation can be rewritten as <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b4b0403c5dc73213d06f58c66dccd52b34c94b852d8e39e796c0e139dcf1ea81\" alt=\"2 times 4 x, minus, 2 times one half, equals, 2 times negative 5\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/20d2119a3297d6d054b92df4b954c6e460fecaccf2049f50361da7903c077bd5\" alt=\"8 x minus 1, equals negative 10\"></span>.</p><p>Choices A, B, and C are incorrect and may result from calculation errors in solving the given equation for <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8459940867df2424b2ca04535d90ef8626c207ae08e7866b5a032d922cc75eee\" alt=\"x\"></span> and then substituting that value of <span class=\"italic\">x</span> in the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/292d6fda6bb4be86e6011e53a2f1494d86972c35de03110f3f7f3c7f6bce3f85\" alt=\"8 x minus 1\"></span>.</p><p></p>\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.617000+00:00","source_updated_at":"2023-08-02T20:25:59.617000+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/ecaad5c6c6602c142803529488b52addf38c25ed9ae395efbe9e9a789f877191\" alt=\"2\"></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/f4278ee5e3b9bb7f3a85c90c390740cbd412171328b23d5a2e82c042a8014c73\" alt=\"negative nine eighths\"></span></span>\n          </p>\n","ord":1},{"label":"C","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/61daae12693d0130f4042cc20b262260736378ea4ec4ca340f33ac90d093ad4d\" alt=\"negative five halves\"></span></span>\n          </p>\n","ord":2},{"label":"D","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/4ebe6344c701f95475b833878bff56db8a2302a35919bd434e5525580ba0ffc2\" alt=\"negative 10\"></span></span>\n          </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}}