{"id":"cb_question_bank:b0f80856-a7cf-4b74-b27c-320f58604caa","source_id":"cb_question_bank","source_item_id":"b0f80856-a7cf-4b74-b27c-320f58604caa","external_id":"4363efa2-3674-407a-a249-7f0cf0daff53","ibn":null,"question_id":"499cb491","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 5 x squared minus 50 x y squared ?","stimulus":"","stimulus_html":null,"stem_html":"<p>Which expression is equivalent to <math alttext=\"5 x squared minus 50 x y squared\"><mrow>\n\t<mrow>\n\t\t<mn>5</mn>\n\t\t<msup>\n\t\t\t<mi>x</mi>\n\t\t\t<mn>2</mn>\n\t\t</msup>\n\t</mrow>\n\t<mo>-</mo>\n\t<mrow>\n\t\t<mn>50</mn>\n\t\t<mi>x</mi>\n\t\t<msup>\n\t\t\t<mi>y</mi>\n\t\t\t<mn>2</mn>\n\t\t</msup>\n\t</mrow>\n</mrow>\n</math>?</p>","rationale_html":"<p>Choice A is correct. Since each term of the given expression has a factor of <math alttext=\"5 x\"><mrow>\n\t<mn>5</mn>\n\t<mi>x</mi>\n</mrow>\n</math>, it can be rewritten as <math alttext=\"5 x left parenthesis x right parenthesis minus 5 x left parenthesis 10 y squared right parenthesis\"><mn>5</mn><mi>x</mi><mfenced><mi>x</mi></mfenced><mo>-</mo><mn>5</mn><mi>x</mi><mfenced><mrow><mn>10</mn><msup><mi>y</mi><mn>2</mn></msup></mrow></mfenced></math>, or <math alttext=\"5 x left parenthesis x minus 10 y squared right parenthesis\"><mn>5</mn><mi>x</mi><mfenced><mrow><mi>x</mi><mo>-</mo><mn>10</mn><msup><mi>y</mi><mn>2</mn></msup></mrow></mfenced></math>.</p>\n<p>Choice B is incorrect and may result from conceptual or calculation errors.</p>\n<p>Choice C is incorrect and may result from conceptual or calculation errors.</p>\n<p>Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.821000+00:00","source_updated_at":"2023-08-02T20:25:59.821000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"5 x left parenthesis x minus 10 y squared right parenthesis\"><mrow><mn>5</mn></mrow><mi>x</mi><mfenced><mrow><mi>x</mi><mo>-</mo><mrow><mn>10</mn></mrow><msup><mi>y</mi><mn>2</mn></msup></mrow></mfenced></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"5 x left parenthesis x minus 50 y squared right parenthesis\"><mrow><mn>5</mn></mrow><mi>x</mi><mfenced><mrow><mi>x</mi><mo>-</mo><mrow><mn>50</mn></mrow><msup><mi>y</mi><mn>2</mn></msup></mrow></mfenced></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"5 x squared left parenthesis 10 x y squared right parenthesis\"><mrow><mn>5</mn></mrow><msup><mi>x</mi><mn>2</mn></msup><mfenced><mrow><mrow><mn>10</mn></mrow><mi>x</mi><msup><mi>y</mi><mn>2</mn></msup></mrow></mfenced></math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"5 x squared left parenthesis 50 x y squared right parenthesis\"><mrow><mn>5</mn></mrow><msup><mi>x</mi><mn>2</mn></msup><mfenced><mrow><mrow><mn>50</mn></mrow><mi>x</mi><msup><mi>y</mi><mn>2</mn></msup></mrow></mfenced></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}}