{"id":"cb_question_bank:0f4509b3-8e10-4da3-87d7-335413d614c4","source_id":"cb_question_bank","source_item_id":"0f4509b3-8e10-4da3-87d7-335413d614c4","external_id":"c57e37c9-32b5-4879-b56c-ae8aec1a46fc","ibn":null,"question_id":"097e10f5","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"What value of p satisfies the equation 5 p plus 180 equals 250 ?","stimulus":"","stimulus_html":null,"stem_html":"<p>What value of <math alttext=\"p\"><mi>p</mi>\n</math> satisfies the equation <math alttext=\"5 p plus 180 equals 250\"><mrow>\n\t<mrow>\n\t\t<mrow>\n\t\t\t<mn>5</mn>\n\t\t\t<mi>p</mi>\n\t\t</mrow>\n\t\t<mo>+</mo>\n\t\t<mn>180</mn>\n\t</mrow>\n\t<mo>=</mo>\n\t<mn>250</mn>\n</mrow>\n</math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice A is correct. Subtracting <math alttext=\"180\"><mn>180</mn>\n</math> from both sides of the given equation yields <math alttext=\"5 p equals 70\"><mrow>\n\t<mrow>\n\t\t<mn>5</mn>\n\t\t<mi>p</mi>\n\t</mrow>\n\t<mo>=</mo>\n\t<mn>70</mn>\n</mrow>\n</math>. Dividing both sides of this equation by <math alttext=\"5\"><mn>5</mn>\n</math> yields <math alttext=\"p equals 14\"><mrow>\n\t<mi>p</mi>\n\t<mo>=</mo>\n\t<mn>14</mn>\n</mrow>\n</math>. Therefore, the value of <math alttext=\"p\"><mi>p</mi>\n</math> that satisfies the equation&nbsp;<math alttext=\"5 p plus 180 equals 250\"><mn>5</mn><mi>p</mi><mo>+</mo><mn>180</mn><mo>=</mo><mn>250</mn></math> is <math alttext=\"14\"><mn>14</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice B is incorrect. This value of <math alttext=\"p\"><mi>p</mi>\n</math> satisfies the equation <math alttext=\"5 p plus 180 equals 505\"><mn>5</mn><mi>p</mi><mo>+</mo><mn>180</mn><mo>=</mo><mn>505</mn></math>.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This value of <math alttext=\"p\"><mi>p</mi>\n</math> satisfies the equation <math alttext=\"5 p plus 180 equals 610\"><mn>5</mn><mi>p</mi><mo>+</mo><mn>180</mn><mo>=</mo><mn>610</mn></math>.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. This value of <math alttext=\"p\"><mi>p</mi>\n</math> satisfies the equation <math alttext=\"5 p plus 180 equals 1,430\"><mn>5</mn><mi>p</mi><mo>+</mo><mn>180</mn><mo>=</mo><mn>1,430</mn></math>.</p>","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.810000+00:00","source_updated_at":"2023-08-02T20:25:59.810000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"14\"><mn>14</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"65\"><mn>65</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"86\"><mn>86</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"250\"><mn>250</mn>\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}}