{"id":"cb_question_bank:2329198f-192c-4ebc-8755-4b0d0c328d16","source_id":"cb_question_bank","source_item_id":"2329198f-192c-4ebc-8755-4b0d0c328d16","external_id":"2050beca-5f4f-41a5-92ca-3fcf29a6cc77","ibn":null,"question_id":"0eae6be1","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The number y is 84 less than the number x . Which equation represents the relationship between x and y ?","stimulus":"","stimulus_html":null,"stem_html":"<p>The number <math alttext=\"y\"><mi>y</mi>\n</math> is <math alttext=\"84\"><mn>84</mn>\n</math> less than the number <math alttext=\"x\"><mi>x</mi>\n</math>. Which equation represents the relationship between <math alttext=\"x\"><mi>x</mi>\n</math> and <math alttext=\"y\"><mi>y</mi>\n</math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice D is correct. It’s given that the number <math alttext=\"y\"><mi>y</mi>\n</math> is <math alttext=\"84\"><mn>84</mn>\n</math> less than the number <math alttext=\"x\"><mi>x</mi>\n</math>. A number that's <math alttext=\"84\"><mn>84</mn>\n</math> less than the number <math alttext=\"x\"><mi>x</mi>\n</math> is equivalent to <math alttext=\"84\"><mn>84</mn>\n</math> subtracted from the number <math alttext=\"x\"><mi>x</mi>\n</math>, or <math alttext=\"x minus 84\"><mrow>\n\t<mi>x</mi>\n\t<mo>-</mo>\n\t<mn>84</mn>\n</mrow>\n</math>. Therefore, the equation <math alttext=\"y equals x minus 84\"><mrow>\n\t<mi>y</mi>\n\t<mo>=</mo>\n\t<mrow>\n\t\t<mi>x</mi>\n\t\t<mo>-</mo>\n\t\t<mn>84</mn>\n\t</mrow>\n</mrow>\n</math> represents the relationship between <math alttext=\"x\"><mi>x</mi>\n</math> and <math alttext=\"y\"><mi>y</mi>\n</math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect and may result from conceptual errors.</p>\n<p style=\"text-align: left;\">Choice B is incorrect and may result from conceptual errors.</p>\n<p style=\"text-align: left;\">Choice C is incorrect and may result from conceptual errors.</p>","correct_answer":["D"],"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=\"y equals x plus 84\"><mrow>\n\t<mi>y</mi>\n\t<mo>=</mo>\n\t<mrow>\n\t\t<mi>x</mi>\n\t\t<mo>+</mo>\n\t\t<mn>84</mn>\n\t</mrow>\n</mrow>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"y equals one eighty fourth x\"><mi>y</mi><mo>=</mo><mfrac><mn>1</mn><mrow><mn>84</mn></mrow></mfrac><mi>x</mi></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"y equals 84 x\"><mrow>\n\t<mi>y</mi>\n\t<mo>=</mo>\n\t<mrow>\n\t\t<mn>84</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n</mrow>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"y equals x minus 84\"><mrow>\n\t<mi>y</mi>\n\t<mo>=</mo>\n\t<mrow>\n\t\t<mi>x</mi>\n\t\t<mo>-</mo>\n\t\t<mn>84</mn>\n\t</mrow>\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}}