{"id":"cb_question_bank:ba3b7ce2-669b-4d76-b93f-911f9f6f4a1a","source_id":"cb_question_bank","source_item_id":"ba3b7ce2-669b-4d76-b93f-911f9f6f4a1a","external_id":"d3f7c3fc-9ac9-456f-8bf8-53653016b0fb","ibn":null,"question_id":"fd65f47f","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 left parenthesis 2 x squared plus x minus 9 right parenthesis plus left parenthesis x squared plus 6 x plus 1 right parenthesis ?","stimulus":"","stimulus_html":null,"stem_html":"<p>Which expression is equivalent to <math alttext=\"left parenthesis 2 x squared plus x minus 9 right parenthesis plus left parenthesis x squared plus 6 x plus 1 right parenthesis\"><mfenced><mrow><mrow><mn>2</mn></mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>x</mi><mo>-</mo><mrow><mn>9</mn></mrow></mrow></mfenced><mo>+</mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mrow><mn>6</mn></mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced></math>?</p>","rationale_html":"<p>Choice D is correct. The given expression is equivalent to <math alttext=\"left parenthesis 2 x squared plus x plus left parenthesis negative 9 right parenthesis right parenthesis plus left parenthesis x squared plus 6 x plus 1 right parenthesis\"><mfenced><mrow><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>x</mi><mo>+</mo><mfenced><mrow><mo>-</mo><mn>9</mn></mrow></mfenced></mrow></mfenced><mo>+</mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>6</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced></math>, which can be rewritten as <math alttext=\"left parenthesis 2 x squared plus x squared right parenthesis plus left parenthesis x plus 6 x right parenthesis plus left parenthesis negative 9 plus 1 right parenthesis\"><mfenced><mrow><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced><mo>+</mo><mfenced><mrow><mi>x</mi><mo>+</mo><mn>6</mn><mi>x</mi></mrow></mfenced><mo>+</mo><mfenced><mrow><mo>-</mo><mn>9</mn><mo>+</mo><mn>1</mn></mrow></mfenced></math>. Adding like terms in this expression yields <math alttext=\"3 x squared plus 7 x plus left parenthesis negative 8 right parenthesis\"><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>7</mn><mi>x</mi><mo>+</mo><mfenced><mrow><mo>-</mo><mn>8</mn></mrow></mfenced></math>, or <math alttext=\"3 x squared plus 7 x minus 8\"><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>7</mn><mi>x</mi><mo>-</mo><mn>8</mn></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":"2023-08-02T20:25:59.822000+00:00","source_updated_at":"2023-08-02T20:25:59.822000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"2 x squared plus 7 x plus 10\"><mrow>\n\t<mrow>\n\t\t<mn>2</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>7</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n\t<mo>+</mo>\n\t<mn>10</mn>\n</mrow>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"2 x squared plus 6 x minus 8\"><mrow>\n\t<mrow>\n\t\t<mn>2</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>6</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n\t<mo>-</mo>\n\t<mn>8</mn>\n</mrow>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"3 x squared plus 7 x minus 10\"><mrow>\n\t<mrow>\n\t\t<mn>3</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>7</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n\t<mo>-</mo>\n\t<mn>10</mn>\n</mrow>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"3 x squared plus 7 x minus 8\"><mrow>\n\t<mrow>\n\t\t<mn>3</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>7</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n\t<mo>-</mo>\n\t<mn>8</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}}