{"id":"cb_question_bank:48d3b731-8521-4b28-8a26-f3e68d56cf4d","source_id":"cb_question_bank","source_item_id":"48d3b731-8521-4b28-8a26-f3e68d56cf4d","external_id":"b427042f-bfeb-436d-a1d2-2b4035d2e0dd","ibn":null,"question_id":"11ccf3e1","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.B.","skill":"Nonlinear equations in one variable and systems of equations in two variables","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"14 j plus 5 k equals m The given equation relates the numbers j , k , and m . Which equation correctly expresses k in terms of j and m ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: center;\"><math alttext=\"14 j plus 5 k equals m\"><mrow>\n\t<mrow>\n\t\t<mrow>\n\t\t\t<mn>14</mn>\n\t\t\t<mi>j</mi>\n\t\t</mrow>\n\t\t<mo>+</mo>\n\t\t<mrow>\n\t\t\t<mn>5</mn>\n\t\t\t<mi>k</mi>\n\t\t</mrow>\n\t</mrow>\n\t<mo>=</mo>\n\t<mi>m</mi>\n</mrow>\n</math></p>\n<p style=\"text-align: left;\">The given equation relates the numbers <math alttext=\"j\"><mi>j</mi>\n</math>, <math alttext=\"k\"><mi>k</mi>\n</math>, and <math alttext=\"m\"><mi>m</mi>\n</math>. Which equation correctly expresses <math alttext=\"k\"><mi>k</mi>\n</math> in terms of <math alttext=\"j\"><mi>j</mi>\n</math> and <math alttext=\"m\"><mi>m</mi>\n</math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice A is correct. Subtracting <math alttext=\"14 j\"><mn>14</mn><mi>j</mi></math> from each side of the given equation results in <math alttext=\"5 k equals m minus 14 j\"><mn>5</mn><mi>k</mi><mo>=</mo><mi>m</mi><mo>-</mo><mn>14</mn><mi>j</mi></math>. Dividing each side of this equation by <math alttext=\"5\"><mn>5</mn>\n</math> results in <math alttext=\"k equals StartFraction m minus 14 j Over 5 EndFraction\"><mi>k</mi><mo>=</mo><mfrac><mrow><mi>m</mi><mo>-</mo><mn>14</mn><mi>j</mi></mrow><mn>5</mn></mfrac></math>.</p>\n<p style=\"text-align: left;\">Choice B is incorrect and may result from conceptual or calculation errors.</p>\n<p style=\"text-align: left;\">Choice C is incorrect and may result from conceptual or calculation errors.</p>\n<p style=\"text-align: left;\">Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.824000+00:00","source_updated_at":"2023-08-02T20:25:59.824000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"k equals StartFraction m minus 14 j Over 5 EndFraction\"><mi>k</mi><mo>=</mo><mfrac><mrow><mi>m</mi><mo>-</mo><mrow><mn>14</mn></mrow><mi>j</mi></mrow><mrow><mn>5</mn></mrow></mfrac></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"k equals one fifth m minus 14 j\"><mi>k</mi><mo>=</mo><mfrac><mn>1</mn><mrow><mn>5</mn></mrow></mfrac><mi>m</mi><mo>-</mo><mrow><mn>14</mn></mrow><mi>j</mi></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"k equals StartFraction 14 j minus m Over 5 EndFraction\"><mi>k</mi><mo>=</mo><mfrac><mrow><mrow><mn>14</mn></mrow><mi>j</mi><mo>-</mo><mi>m</mi></mrow><mrow><mn>5</mn></mrow></mfrac></math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"k equals 5 m minus 14 j\"><mi>k</mi><mo>=</mo><mrow><mn>5</mn></mrow><mi>m</mi><mo>-</mo><mrow><mn>14</mn></mrow><mi>j</mi></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}}