{"id":"cb_question_bank:d891eb73-639c-45bf-b10b-40438aa301f2","source_id":"cb_question_bank","source_item_id":"d891eb73-639c-45bf-b10b-40438aa301f2","external_id":"4331067c-b0f9-4aaf-a21b-3d660144cf68","ibn":null,"question_id":"127b2759","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.A.","skill":"Equivalent expressions","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Which expression is equivalent to 8 plus d squared plus 3 ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">Which expression is equivalent to&nbsp;<math alttext=\"8 plus d squared plus 3\"><mrow><mn>8</mn></mrow><mo>+</mo><msup><mi>d</mi><mn>2</mn></msup><mo>+</mo><mrow><mn>3</mn></mrow></math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice B is correct. The given expression can be rewritten as&nbsp;<math alttext=\"d squared plus 8 plus 3\"><msup><mi>d</mi><mn>2</mn></msup><mo>+</mo><mn>8</mn><mo>+</mo><mn>3</mn></math>. Adding <math alttext=\"8\"><mn>8</mn>\n</math> and <math alttext=\"3\"><mn>3</mn>\n</math> in this expression yields&nbsp;<math alttext=\"d squared plus 11\"><mrow>\n\t<msup>\n\t\t<mi>d</mi>\n\t\t<mn>2</mn>\n\t</msup>\n\t<mo>+</mo>\n\t<mn>11</mn>\n</mrow>\n</math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect. This expression is equivalent to <math alttext=\"d squared plus 8 left parenthesis 3 right parenthesis\"><msup><mi>d</mi><mn>2</mn></msup><mo>+</mo><mn>8</mn><mfenced><mn>3</mn></mfenced></math>.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This expression is equivalent to&nbsp;<math alttext=\"8 plus d squared minus 3\"><mn>8</mn><mo>+</mo><msup><mi>d</mi><mn>2</mn></msup><mo>-</mo><mn>3</mn></math>.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. This expression is equivalent to&nbsp;<math alttext=\"negative 8 plus d squared minus 3\"><mo>-</mo><mn>8</mn><mo>+</mo><msup><mi>d</mi><mn>2</mn></msup><mo>-</mo><mn>3</mn></math>.</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=\"d squared plus 24\"><mrow>\n\t<msup>\n\t\t<mi>d</mi>\n\t\t<mn>2</mn>\n\t</msup>\n\t<mo>+</mo>\n\t<mn>24</mn>\n</mrow>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"d squared plus 11\"><mrow>\n\t<msup>\n\t\t<mi>d</mi>\n\t\t<mn>2</mn>\n\t</msup>\n\t<mo>+</mo>\n\t<mn>11</mn>\n</mrow>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"d squared plus 5\"><mrow>\n\t<msup>\n\t\t<mi>d</mi>\n\t\t<mn>2</mn>\n\t</msup>\n\t<mo>+</mo>\n\t<mn>5</mn>\n</mrow>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"d squared minus 11\"><mrow>\n\t<msup>\n\t\t<mi>d</mi>\n\t\t<mn>2</mn>\n\t</msup>\n\t<mo>-</mo>\n\t<mn>11</mn>\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}}