{"id":"cb_question_bank:901fe6b9-601b-4209-833e-e3fce839476e","source_id":"cb_question_bank","source_item_id":"901fe6b9-601b-4209-833e-e3fce839476e","external_id":null,"ibn":"10931-DC","question_id":"d9d83c02","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"E","score_band":3,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"For what value of w does w minus 10, equals, 2 times, open parenthesis, w plus 5, close parenthesis ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">For what value of <em>w</em>&nbsp;does <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/74048863a11edbc69b7682d82040100d92406250b23b1ec6eea3776522b6648a\" alt=\"w minus 10, equals, 2 times, open parenthesis, w plus 5, close parenthesis\"></span></span>&nbsp;?</p>\n","rationale_html":"<p>Choice D is correct. To solve the equation, use the distributive property to multiply on the right-hand side of the equation which gives <span class=\"italic\">w</span> – 10 = 2<span class=\"italic\">w </span>+ 10. Subtract <span class=\"italic\">w</span> from both sides of the equation, which gives –10 = <span class=\"italic\">w </span>+ 10. Finally, subtract 10 from both sides of the equation, which gives –20 = <span class=\"italic\">w.</span></p><p>Choices A and B are incorrect and may result from making sign errors. Choice C is incorrect and may result from incompletely distributing the 2 in the expression 2(<span class=\"italic\">w</span> + 5).</p><p></p>\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.638000+00:00","source_updated_at":"2023-08-02T20:25:59.638000+00:00","options":[{"label":"A","content_html":"<p><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/da81f995fde566bcfccbb13c76f46067fe002f64e918e950c3158cbc4c5a0da9\" alt=\"\"></span></span></p>\n","ord":0},{"label":"B","content_html":"<p><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e646b570dc3598aa1fe55743f6c749ef456a13deb8575aca77a309272b8cbc26\" alt=\"0\"></span></span></p>\n","ord":1},{"label":"C","content_html":"<p><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/dc64c40ddba51ce61b96471847a6e4bebd3dd9399827ec9626b64d71319edea9\" alt=\"negative 15\"></span></span></p>\n","ord":2},{"label":"D","content_html":"<p><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9c9ceecdd845d666c89f63289b2057c50b70fc985000b67442aa58f2fad36303\" alt=\"negative 20\"></span></span></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}}