{"id":"cb_question_bank:a0fbeef0-4f5f-4969-ba66-f2fe756ba5e4","source_id":"cb_question_bank","source_item_id":"a0fbeef0-4f5f-4969-ba66-f2fe756ba5e4","external_id":"8ef4c8a0-31ce-4c6e-b0e5-d7b0b944b67d","ibn":null,"question_id":"beb86a0c","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 5 x ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">Which expression is equivalent to <math alttext=\"9 x squared plus 5 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>5</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n</mrow>\n</math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice A is correct. Since <math alttext=\"x\"><mi>x</mi>\n</math> is a factor of each term in the given expression, the expression is equivalent to <math alttext=\"x left parenthesis 9 x right parenthesis plus x left parenthesis 5 right parenthesis\"><mi>x</mi><mfenced><mrow><mn>9</mn><mi>x</mi></mrow></mfenced><mo>+</mo><mi>x</mi><mfenced><mn>5</mn></mfenced></math>, or&nbsp;<math alttext=\"x left parenthesis 9 x plus 5 right parenthesis\"><mi>x</mi><mfenced><mrow><mn>9</mn><mi>x</mi><mo>+</mo><mn>5</mn></mrow></mfenced></math>.</p>\n<p style=\"text-align: left;\">Choice B is incorrect. This expression is equivalent to <math alttext=\"45 x squared plus 5 x\"><mrow>\n\t<mrow>\n\t\t<mn>45</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>5</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n</mrow>\n</math>, not <math alttext=\"9 x squared plus 5 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>5</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n</mrow>\n</math>.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This expression is equivalent to <math alttext=\"9 x squared plus 45 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>45</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n</mrow>\n</math>, not <math alttext=\"9 x squared plus 5 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>5</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n</mrow>\n</math>.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. This expression is equivalent to <math alttext=\"9 x cubed plus 5 x squared\"><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>3</mn>\n\t\t</msup>\n\t</mrow>\n\t<mo>+</mo>\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</mrow>\n</math>, not <math alttext=\"9 x squared plus 5 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>5</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n</mrow>\n</math>.</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=\"x left parenthesis 9 x plus 5 right parenthesis\"><mrow>\n\t<mi>x</mi>\n\t<mfenced>\n\t\t<mrow>\n\t\t\t<mrow>\n\t\t\t\t<mn>9</mn>\n\t\t\t\t<mi>x</mi>\n\t\t\t</mrow>\n\t\t\t<mo>+</mo>\n\t\t\t<mn>5</mn>\n\t\t</mrow>\n\t</mfenced>\n</mrow>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"5 x left parenthesis 9 x plus 1 right parenthesis\"><mrow>\n\t<mn>5</mn>\n\t<mi>x</mi>\n\t<mfenced>\n\t\t<mrow>\n\t\t\t<mrow>\n\t\t\t\t<mn>9</mn>\n\t\t\t\t<mi>x</mi>\n\t\t\t</mrow>\n\t\t\t<mo>+</mo>\n\t\t\t<mn>1</mn>\n\t\t</mrow>\n\t</mfenced>\n</mrow>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"9 x left parenthesis x plus 5 right parenthesis\"><mrow>\n\t<mn>9</mn>\n\t<mi>x</mi>\n\t<mfenced>\n\t\t<mrow>\n\t\t\t<mi>x</mi>\n\t\t\t<mo>+</mo>\n\t\t\t<mn>5</mn>\n\t\t</mrow>\n\t</mfenced>\n</mrow>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"x squared left parenthesis 9 x plus 5 right parenthesis\"><mrow>\n\t<msup>\n\t\t<mi>x</mi>\n\t\t<mn>2</mn>\n\t</msup>\n\t<mfenced>\n\t\t<mrow>\n\t\t\t<mrow>\n\t\t\t\t<mn>9</mn>\n\t\t\t\t<mi>x</mi>\n\t\t\t</mrow>\n\t\t\t<mo>+</mo>\n\t\t\t<mn>5</mn>\n\t\t</mrow>\n\t</mfenced>\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}}