{"id":"cb_question_bank:2e18c4cd-8ae8-4edf-993d-d0a893d22dd3","source_id":"cb_question_bank","source_item_id":"2e18c4cd-8ae8-4edf-993d-d0a893d22dd3","external_id":"707e44df-b9c2-476c-a030-957fe31a519a","ibn":null,"question_id":"8452c42b","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 50 x squared plus 5 x squared ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">Which expression is equivalent to <math alttext=\"50 x squared plus 5 x squared\"><mn>50</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>5</mn><msup><mi>x</mi><mn>2</mn></msup></math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice D is correct. The given expression shows addition of two like terms. Therefore, the given expression is equivalent to <math alttext=\"left parenthesis 50 plus 5 right parenthesis x squared\"><mfenced><mrow><mn>50</mn><mo>+</mo><mn>5</mn></mrow></mfenced><msup><mi>x</mi><mn>2</mn></msup></math>,&nbsp;or&nbsp;<math alttext=\"55 x squared\"><mn>55</mn><msup><mi>x</mi><mn>2</mn></msup></math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect. This expression is equivalent to&nbsp;<math alttext=\"left parenthesis 50 right parenthesis left parenthesis 5 right parenthesis x squared\"><mfenced><mn>50</mn></mfenced><mfenced><mn>5</mn></mfenced><msup><mi>x</mi><mn>2</mn></msup></math>, not <math alttext=\"left parenthesis 50 plus 5 right parenthesis x squared\"><mfenced><mrow><mn>50</mn><mo>+</mo><mn>5</mn></mrow></mfenced><msup><mi>x</mi><mn>2</mn></msup></math>.</p>\n<p style=\"text-align: left;\">Choice B is incorrect. This expression is equivalent to&nbsp;<math alttext=\"left parenthesis StartFraction 50 Over 5 EndFraction right parenthesis x squared\"><mfenced><mfrac><mn>50</mn><mn>5</mn></mfrac></mfenced><msup><mi>x</mi><mn>2</mn></msup></math>, not&nbsp;<math alttext=\"left parenthesis 50 plus 5 right parenthesis x squared\"><mfenced><mrow><mn>50</mn><mo>+</mo><mn>5</mn></mrow></mfenced><msup><mi>x</mi><mn>2</mn></msup></math>.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This expression is equivalent to&nbsp;<math alttext=\"left parenthesis 50 minus 5 right parenthesis x squared\"><mfenced><mrow><mn>50</mn><mo>-</mo><mn>5</mn></mrow></mfenced><msup><mi>x</mi><mn>2</mn></msup></math>, not&nbsp;<math alttext=\"left parenthesis 50 plus 5 right parenthesis x squared\"><mfenced><mrow><mn>50</mn><mo>+</mo><mn>5</mn></mrow></mfenced><msup><mi>x</mi><mn>2</mn></msup></math>.</p>","correct_answer":["D"],"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=\"250 x squared\"><mrow>\n\t<mn>250</mn>\n\t<msup>\n\t\t<mi>x</mi>\n\t\t<mn>2</mn>\n\t</msup>\n</mrow>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"10 x squared\"><mrow>\n\t<mn>10</mn>\n\t<msup>\n\t\t<mi>x</mi>\n\t\t<mn>2</mn>\n\t</msup>\n</mrow>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"45 x squared\"><mrow>\n\t<mn>45</mn>\n\t<msup>\n\t\t<mi>x</mi>\n\t\t<mn>2</mn>\n\t</msup>\n</mrow>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"55 x squared\"><mrow>\n\t<mn>55</mn>\n\t<msup>\n\t\t<mi>x</mi>\n\t\t<mn>2</mn>\n\t</msup>\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}}