{"id":"cb_question_bank:8df8ba4e-c378-4ed4-887a-0d315c5a6153","source_id":"cb_question_bank","source_item_id":"8df8ba4e-c378-4ed4-887a-0d315c5a6153","external_id":"f3aafaa2-b75f-4b93-a443-b88b79f2a8b1","ibn":null,"question_id":"eac739b2","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"If 4 x plus 2 equals 12 , what is the value of 16 x plus 8 ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">If <math alttext=\"4 x plus 2 equals 12\"><mrow>\n\t<mrow>\n\t\t<mrow>\n\t\t\t<mn>4</mn>\n\t\t\t<mi>x</mi>\n\t\t</mrow>\n\t\t<mo>+</mo>\n\t\t<mn>2</mn>\n\t</mrow>\n\t<mo>=</mo>\n\t<mn>12</mn>\n</mrow>\n</math>, what is the value of <math alttext=\"16 x plus 8\"><mrow>\n\t<mrow>\n\t\t<mn>16</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n\t<mo>+</mo>\n\t<mn>8</mn>\n</mrow>\n</math>?</p>","rationale_html":"<p>Choice B is correct. Multiplying both sides of the given equation by <math alttext=\"4\"><mn>4</mn>\n</math> yields <math alttext=\"left parenthesis 4 right parenthesis left parenthesis 4 x plus 2 right parenthesis equals left parenthesis 4 right parenthesis left parenthesis 12 right parenthesis\"><mfenced><mn>4</mn></mfenced><mfenced><mrow><mn>4</mn><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfenced><mo>=</mo><mfenced><mn>4</mn></mfenced><mfenced><mn>12</mn></mfenced></math>, or <math alttext=\"16 x plus 8 equals 48\"><mn>16</mn><mi>x</mi><mo>+</mo><mn>8</mn><mo>=</mo><mn>48</mn></math>. Therefore, the value of&nbsp;<math alttext=\"16 x plus 8\"><mn>16</mn><mi>x</mi><mo>+</mo><mn>8</mn></math> is <math alttext=\"48\"><mn>48</mn>\n</math>.</p>\n<p>Choice A is incorrect and may result from conceptual or calculation errors.</p>\n<p>Choice C is incorrect and may result from conceptual or calculation errors.</p>\n<p>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":"2023-08-02T20:25:59.809000+00:00","source_updated_at":"2023-08-02T20:25:59.809000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"40\"><mn>40</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"48\"><mn>48</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"56\"><mn>56</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"60\"><mn>60</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}}