{"id":"cb_question_bank:f6ae956c-b079-410b-8528-f086f65ae774","source_id":"cb_question_bank","source_item_id":"f6ae956c-b079-410b-8528-f086f65ae774","external_id":"ff1e479f-7df1-4306-a31d-d9354d96102e","ibn":null,"question_id":"fd4b2aa0","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 12 x cubed minus 5 x cubed ?","stimulus":"","stimulus_html":null,"stem_html":"<p>Which expression is equivalent to <math alttext=\"12 x cubed minus 5 x cubed\"><mrow><mn>12</mn></mrow><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mrow><mn>5</mn></mrow><msup><mi>x</mi><mn>3</mn></msup></math>?</p>","rationale_html":"<p>Choice C is correct. The given expression shows subtraction of two like terms. The two terms can be subtracted as follows: <math alttext=\"12 x cubed minus 5 x cubed equals left parenthesis 12 minus 5 right parenthesis x cubed\"><mn>12</mn><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>5</mn><msup><mi>x</mi><mn>3</mn></msup><mo>=</mo><mfenced><mrow><mn>12</mn><mo>-</mo><mn>5</mn></mrow></mfenced><msup><mi>x</mi><mn>3</mn></msup></math>, or <math alttext=\"7 x cubed\"><mn>7</mn><msup><mi>x</mi><mn>3</mn></msup></math>.</p>\n<p>Choice A is incorrect and may result from conceptual or calculation errors.</p>\n<p>Choice B is incorrect. This is the result of adding, not subtracting, the two like terms.</p>\n<p>Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["C"],"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=\"7 x Superscript 6\"><mrow>\n\t<mn>7</mn>\n\t<msup>\n\t\t<mi>x</mi>\n\t\t<mn>6</mn>\n\t</msup>\n</mrow>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"17 x cubed\"><mrow>\n\t<mn>17</mn>\n\t<msup>\n\t\t<mi>x</mi>\n\t\t<mn>3</mn>\n\t</msup>\n</mrow>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"7 x cubed\"><mrow>\n\t<mn>7</mn>\n\t<msup>\n\t\t<mi>x</mi>\n\t\t<mn>3</mn>\n\t</msup>\n</mrow>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"17 x Superscript 6\"><mrow>\n\t<mn>17</mn>\n\t<msup>\n\t\t<mi>x</mi>\n\t\t<mn>6</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}}