{"id":"cb_question_bank:8be3fa67-1be2-4c83-b943-60823d3e4267","source_id":"cb_question_bank","source_item_id":"8be3fa67-1be2-4c83-b943-60823d3e4267","external_id":"1da5e7f6-df74-4a25-9976-1f105af7942e","ibn":null,"question_id":"b82a943c","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":"If 7 x equals 28 , what is the value of 8 x ?","stimulus":"","stimulus_html":null,"stem_html":"<p>If <math alttext=\"7 x equals 28\"><mrow>\n\t<mrow>\n\t\t<mn>7</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n\t<mo>=</mo>\n\t<mn>28</mn>\n</mrow>\n</math>, what is the value of <math alttext=\"8 x\"><mrow>\n\t<mn>8</mn>\n\t<mi>x</mi>\n</mrow>\n</math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice B is correct. Dividing both sides of the given equation <math alttext=\"7 x equals 28\"><mrow>\n\t<mrow>\n\t\t<mn>7</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n\t<mo>=</mo>\n\t<mn>28</mn>\n</mrow>\n</math> by <math alttext=\"7\"><mn>7</mn>\n</math> yields <math alttext=\"x equals 4\"><mrow>\n\t<mi>x</mi>\n\t<mo>=</mo>\n\t<mn>4</mn>\n</mrow>\n</math>. Substituting <math alttext=\"4\"><mn>4</mn>\n</math> for <math alttext=\"x\"><mi>x</mi>\n</math> in the expression <math alttext=\"8 x\"><mrow>\n\t<mn>8</mn>\n\t<mi>x</mi>\n</mrow>\n</math> yields <math alttext=\"8 left parenthesis 4 right parenthesis\"><mn>8</mn><mfenced><mn>4</mn></mfenced></math>, which is equivalent to <math alttext=\"32\"><mn>32</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect. This is the value of <math alttext=\"StartFraction 21 Over 4 EndFraction x\"><mfrac><mn>21</mn><mn>4</mn></mfrac><mi>x</mi></math>.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This is the value of <math alttext=\"42 x\"><mrow>\n\t<mn>42</mn>\n\t<mi>x</mi>\n</mrow>\n</math>.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. This is the value of <math alttext=\"56 x\"><mrow>\n\t<mn>56</mn>\n\t<mi>x</mi>\n</mrow>\n</math>.</p>","correct_answer":["B"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.809000+00:00","source_updated_at":"2023-08-02T20:25:59.809000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"21\"><mn>21</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"32\"><mn>32</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"168\"><mn>168</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"224\"><mn>224</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}}