{"id":"cb_question_bank:68b325ef-b233-4aef-b581-97f5145ad7da","source_id":"cb_question_bank","source_item_id":"68b325ef-b233-4aef-b581-97f5145ad7da","external_id":"d4e10666-e119-46af-8dba-a8d527aeca75","ibn":null,"question_id":"4de87c9a","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":"3 more than 8 times a number x is equal to 83 . Which equation represents this situation?","stimulus":"","stimulus_html":null,"stem_html":"<p><math alttext=\"3\"><mn>3</mn>\n</math> more than <math alttext=\"8\"><mn>8</mn>\n</math> times a number <math alttext=\"x\"><mi>x</mi>\n</math> is equal to <math alttext=\"83\"><mrow><mn>83</mn></mrow></math>. Which equation represents this situation?</p>","rationale_html":"<p style=\"text-align: left;\">Choice D is correct. The given phrase “<math alttext=\"8\"><mn>8</mn>\n</math> times a number <math alttext=\"x\"><mi>x</mi>\n</math>” can be represented by the expression <math alttext=\"8 x\"><mrow>\n\t<mn>8</mn>\n\t<mi>x</mi>\n</mrow>\n</math>. The given phrase “<math alttext=\"3\"><mn>3</mn>\n</math> more than” indicates an increase of <math alttext=\"3\"><mn>3</mn>\n</math> to a quantity. Therefore “<math alttext=\"3\"><mn>3</mn>\n</math> more than <math alttext=\"8\"><mn>8</mn>\n</math> times a number <math alttext=\"x\"><mi>x</mi>\n</math>” can be represented by the expression <math alttext=\"8 x plus 3\"><mrow>\n\t<mrow>\n\t\t<mn>8</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n\t<mo>+</mo>\n\t<mn>3</mn>\n</mrow>\n</math>. Since it’s given that <math alttext=\"3\"><mn>3</mn>\n</math> more than <math alttext=\"8\"><mn>8</mn>\n</math> times a number <math alttext=\"x\"><mi>x</mi>\n</math> is equal to <math alttext=\"83\"><mn>83</mn>\n</math>, it follows that <math alttext=\"8 x plus 3\"><mrow>\n\t<mrow>\n\t\t<mn>8</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n\t<mo>+</mo>\n\t<mn>3</mn>\n</mrow>\n</math> is equal to <math alttext=\"83\"><mn>83</mn>\n</math>, or <math alttext=\"8 x plus 3 equals 83\"><mrow>\n\t<mrow>\n\t\t<mrow>\n\t\t\t<mn>8</mn>\n\t\t\t<mi>x</mi>\n\t\t</mrow>\n\t\t<mo>+</mo>\n\t\t<mn>3</mn>\n\t</mrow>\n\t<mo>=</mo>\n\t<mn>83</mn>\n</mrow>\n</math>. Therefore, the equation that represents this situation is <math alttext=\"8 x plus 3 equals 83\"><mrow>\n\t<mrow>\n\t\t<mrow>\n\t\t\t<mn>8</mn>\n\t\t\t<mi>x</mi>\n\t\t</mrow>\n\t\t<mo>+</mo>\n\t\t<mn>3</mn>\n\t</mrow>\n\t<mo>=</mo>\n\t<mn>83</mn>\n</mrow>\n</math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect. This equation represents <math alttext=\"3\"><mn>3</mn>\n</math> times the quantity <math alttext=\"8\"><mn>8</mn>\n</math> times a number <math alttext=\"x\"><mi>x</mi>\n</math> is equal to <math alttext=\"83\"><mn>83</mn>\n</math>.&nbsp;</p>\n<p style=\"text-align: left;\">Choice B is incorrect. This equation represents <math alttext=\"8\"><mn>8</mn>\n</math> times a number <math alttext=\"x\"><mi>x</mi>\n</math> is equal to <math alttext=\"3\"><mn>3</mn>\n</math> more than <math alttext=\"83\"><mn>83</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This equation represents <math alttext=\"8\"><mn>8</mn>\n</math> more than <math alttext=\"3\"><mn>3</mn>\n</math> times a number <math alttext=\"x\"><mi>x</mi>\n</math> is equal to <math alttext=\"83\"><mn>83</mn>\n</math>.</p>","correct_answer":["D"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.808000+00:00","source_updated_at":"2023-08-02T20:25:59.808000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"left parenthesis 3 right parenthesis left parenthesis 8 right parenthesis x equals 83\"><mo>(</mo><mrow><mn>3</mn></mrow><mo>)</mo><mo>(</mo><mrow><mn>8</mn></mrow><mo>)</mo><mi>x</mi><mo>=</mo><mrow><mn>83</mn></mrow></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"8 x equals 83 plus 3\"><mrow><mn>8</mn></mrow><mi>x</mi><mo>=</mo><mrow><mn>83</mn></mrow><mo>+</mo><mrow><mn>3</mn></mrow></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"3 x plus 8 equals 83\"><mrow><mn>3</mn></mrow><mi>x</mi><mo>+</mo><mrow><mn>8</mn></mrow><mo>=</mo><mrow><mn>83</mn></mrow></math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"8 x plus 3 equals 83\"><mrow><mn>8</mn></mrow><mi>x</mi><mo>+</mo><mrow><mn>3</mn></mrow><mo>=</mo><mrow><mn>83</mn></mrow></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}}