{"id":"cb_question_bank:b897865c-50c0-4444-a852-db1a52b6c8cb","source_id":"cb_question_bank","source_item_id":"b897865c-50c0-4444-a852-db1a52b6c8cb","external_id":"9c3d170a-52ba-4266-b573-bfa73fbbe581","ibn":null,"question_id":"67e866b5","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 9 x squared plus 7 x squared plus 9 x ?","stimulus":"","stimulus_html":null,"stem_html":"<p>Which expression is equivalent to <math alttext=\"9 x squared plus 7 x squared plus 9 x\"><mrow><mn>9</mn></mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mrow><mn>7</mn></mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mrow><mn>9</mn></mrow><mi>x</mi></math>?</p>","rationale_html":"<p>Choice D is correct. In the given expression, the first two terms,&nbsp;<math alttext=\"9 x squared\"><mn>9</mn><msup><mi>x</mi><mn>2</mn></msup></math> and <math alttext=\"7 x squared\"><mn>7</mn><msup><mi>x</mi><mn>2</mn></msup></math>, are like terms. Combining these like terms yields <math alttext=\"9 x squared plus 7 x squared\"><mn>9</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>7</mn><msup><mi>x</mi><mn>2</mn></msup></math>, or <math alttext=\"16 x squared\"><mn>16</mn><msup><mi>x</mi><mn>2</mn></msup></math>. It follows that the expression&nbsp;<math alttext=\"9 x squared plus 7 x squared plus 9 x\"><mn>9</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>7</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>9</mn><mi>x</mi></math> is equivalent to <math alttext=\"16 x squared plus 9 x\"><mn>16</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>9</mn><mi>x</mi></math>.</p>\n<p>Choice A is incorrect and may result from conceptual or calculation errors.</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>","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=\"63 x Superscript 4 plus 9 x\"><mrow>\n\t<mrow>\n\t\t<mn>63</mn>\n\t\t<msup>\n\t\t\t<mi>x</mi>\n\t\t\t<mn>4</mn>\n\t\t</msup>\n\t</mrow>\n\t<mo>+</mo>\n\t<mrow>\n\t\t<mn>9</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n</mrow>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"9 x squared plus 16 x\"><mrow>\n\t<mrow>\n\t\t<mn>9</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>16</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n</mrow>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"25 x Superscript 5\"><mrow>\n\t<mn>25</mn>\n\t<msup>\n\t\t<mi>x</mi>\n\t\t<mn>5</mn>\n\t</msup>\n</mrow>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"16 x squared plus 9 x\"><mrow>\n\t<mrow>\n\t\t<mn>16</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>9</mn>\n\t\t<mi>x</mi>\n\t</mrow>\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}}