{"id":"cb_question_bank:3c5d6252-d0b9-42ef-8a0e-9bbf1a00d70e","source_id":"cb_question_bank","source_item_id":"3c5d6252-d0b9-42ef-8a0e-9bbf1a00d70e","external_id":"35b766b9-da19-4203-90cb-2032ce081aac","ibn":null,"question_id":"70f98ab4","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":"q minus 29 r equals s The given equation relates the positive numbers q , r , and s . Which equation correctly expresses q in terms of r and s ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: center;\"><math alttext=\"q minus 29 r equals s\"><mi>q</mi><mo>-</mo><mrow><mn>29</mn></mrow><mi>r</mi><mo>=</mo><mi>s</mi></math></p>\n<p style=\"text-align: left;\">The given equation relates the positive numbers <math alttext=\"q\"><mi>q</mi>\n</math>, <math alttext=\"r\"><mi>r</mi>\n</math>, and <math alttext=\"s\"><mi>s</mi>\n</math>. Which equation correctly expresses <math alttext=\"q\"><mi>q</mi>\n</math> in terms of <math alttext=\"r\"><mi>r</mi>\n</math> and <math alttext=\"s\"><mi>s</mi>\n</math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice B is correct. Adding <math alttext=\"29 r\"><mrow>\n\t<mn>29</mn>\n\t<mi>r</mi>\n</mrow>\n</math> to each side of the given equation yields&nbsp;<math alttext=\"q equals s plus 29 r\"><mi>q</mi><mo>=</mo><mi>s</mi><mo>+</mo><mn>29</mn><mi>r</mi></math>. Therefore, the equation&nbsp;<math alttext=\"q equals s plus 29 r\"><mi>q</mi><mo>=</mo><mi>s</mi><mo>+</mo><mn>29</mn><mi>r</mi></math> correctly expresses <math alttext=\"q\"><mi>q</mi>\n</math> in terms of <math alttext=\"r\"><mi>r</mi>\n</math> and <math alttext=\"s\"><mi>s</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 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":["B"],"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=\"q equals s minus 29 r\"><mi>q</mi><mo>=</mo><mi>s</mi><mo>-</mo><mrow><mn>29</mn></mrow><mi>r</mi></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"q equals s plus 29 r\"><mi>q</mi><mo>=</mo><mi>s</mi><mo>+</mo><mrow><mn>29</mn></mrow><mi>r</mi></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"q equals 29 r s\"><mi>q</mi><mo>=</mo><mrow><mn>29</mn></mrow><mi>r</mi><mi>s</mi></math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"q equals minus StartFraction s Over 29 r EndFraction\"><mi>q</mi><mo>=</mo><mo>-</mo><mfrac><mi>s</mi><mrow><mrow><mn>29</mn></mrow><mi>r</mi></mrow></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}}