{"id":"cb_question_bank:1caae7d0-71cf-4286-8c53-fe38b21692e8","source_id":"cb_question_bank","source_item_id":"1caae7d0-71cf-4286-8c53-fe38b21692e8","external_id":"d2ce343c-ce62-40d3-805d-1ec24af622ab","ibn":null,"question_id":"ad03127d","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":"E","score_band":3,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"6 r equals 7 s plus t The given equation relates the variables r , s , and t . Which equation correctly expresses s in terms of r and t ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: center;\"><math alttext=\"6 r equals 7 s plus t\"><mn>6</mn><mi>r</mi><mo>=</mo><mn>7</mn><mi>s</mi><mo>+</mo><mi>t</mi></math></p>\n<p style=\"text-align: left;\">The given equation relates the variables <math alttext=\"r\"><mi>r</mi>\n</math>, <math alttext=\"s\"><mi>s</mi>\n</math>, and <math alttext=\"t\"><mi>t</mi>\n</math>. Which equation correctly expresses <math alttext=\"s\"><mi>s</mi>\n</math> in terms of <math alttext=\"r\"><mi>r</mi>\n</math> and <math alttext=\"t\"><mi>t</mi>\n</math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice D is correct. Subtracting <math alttext=\"t\"><mi>t</mi>\n</math> from both sides of the given equation&nbsp;yields <math alttext=\"6 r minus t equals 7 s\"><mn>6</mn><mi>r</mi><mo>-</mo><mi>t</mi><mo>=</mo><mn>7</mn><mi>s</mi></math>. Dividing both sides of this equation by <math alttext=\"7\"><mn>7</mn>\n</math> yields <math alttext=\"StartFraction 6 r minus t Over 7 EndFraction equals s\"><mfrac><mrow><mn>6</mn><mi>r</mi><mo>-</mo><mi>t</mi></mrow><mn>7</mn></mfrac><mo>=</mo><mi>s</mi></math>. Therefore, the equation&nbsp;<math alttext=\"s equals StartFraction 6 r minus t Over 7 EndFraction\"><mi>s</mi><mo>=</mo><mfrac><mrow><mn>6</mn><mi>r</mi><mo>-</mo><mi>t</mi></mrow><mn>7</mn></mfrac></math> correctly expresses <math alttext=\"s\"><mi>s</mi>\n</math> in terms of <math alttext=\"r\"><mi>r</mi>\n</math> and <math alttext=\"t\"><mi>t</mi>\n</math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect and may result from conceptual or calculation errors.</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>","correct_answer":["D"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.825000+00:00","source_updated_at":"2023-08-02T20:25:59.825000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"s equals 42 r minus t\"><mi>s</mi><mo>=</mo><mn>42</mn><mi>r</mi><mo>-</mo><mi>t</mi></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"s equals 7 left parenthesis 6 r minus t right parenthesis\"><mi>s</mi><mo>=</mo><mn>7</mn><mfenced><mrow><mn>6</mn><mi>r</mi><mo>-</mo><mi>t</mi></mrow></mfenced></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"s equals six sevenths r minus t\"><mi>s</mi><mo>=</mo><mfrac><mn>6</mn><mn>7</mn></mfrac><mi>r</mi><mo>-</mo><mi>t</mi></math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"s equals StartFraction 6 r minus t Over 7 EndFraction\"><mi>s</mi><mo>=</mo><mfrac><mrow><mn>6</mn><mi>r</mi><mo>-</mo><mi>t</mi></mrow><mn>7</mn></mfrac></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}}