{"id":"cb_question_bank:3057bc56-c2f1-452d-a769-6b500d12f401","source_id":"cb_question_bank","source_item_id":"3057bc56-c2f1-452d-a769-6b500d12f401","external_id":"885afb10-2178-4564-84ab-6e185b004a41","ibn":null,"question_id":"0536ad4f","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.A.","skill":"Equivalent expressions","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Which expression is equivalent to 20 w minus left parenthesis 4 w plus 3 w right parenthesis ?","stimulus":"","stimulus_html":null,"stem_html":"<p>Which expression is equivalent to <math alttext=\"20 w minus left parenthesis 4 w plus 3 w right parenthesis\"><mrow><mn>20</mn></mrow><mi>w</mi><mo>-</mo><mfenced><mrow><mrow><mn>4</mn></mrow><mi>w</mi><mo>+</mo><mrow><mn>3</mn></mrow><mi>w</mi></mrow></mfenced></math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice B is correct. Combining like terms inside the parentheses of the given expression, <math alttext=\"20 w minus left parenthesis 4 w plus 3 w right parenthesis\"><mn>20</mn><mi>w</mi><mo>-</mo><mfenced><mrow><mn>4</mn><mi>w</mi><mo>+</mo><mn>3</mn><mi>w</mi></mrow></mfenced></math>, yields <math alttext=\"20 w minus left parenthesis 7 w right parenthesis\"><mn>20</mn><mi>w</mi><mo>-</mo><mfenced><mrow><mn>7</mn><mi>w</mi></mrow></mfenced></math>. Combining like terms in this resulting expression yields <math alttext=\"13 w\"><mrow>\n\t<mn>13</mn>\n\t<mi>w</mi>\n</mrow>\n</math>.</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 C 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":["B"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.822000+00:00","source_updated_at":"2023-08-02T20:25:59.822000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"10 w\"><mrow>\n\t<mn>10</mn>\n\t<mi>w</mi>\n</mrow>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"13 w\"><mrow>\n\t<mn>13</mn>\n\t<mi>w</mi>\n</mrow>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"19 w\"><mrow>\n\t<mn>19</mn>\n\t<mi>w</mi>\n</mrow>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"21 w\"><mrow>\n\t<mn>21</mn>\n\t<mi>w</mi>\n</mrow>\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}}