{"id":"cb_question_bank:31b4c1a7-5ea6-4a6c-b9d8-6ff4bb024c50","source_id":"cb_question_bank","source_item_id":"31b4c1a7-5ea6-4a6c-b9d8-6ff4bb024c50","external_id":null,"ibn":"028955-DC","question_id":"7a5a74a6","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"M","score_band":5,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"If x is the solution to the equation above, what is the value of x minus 3 ?","stimulus":"3 times, open parenthesis, 2 x minus 6, close parenthesis, minus 11, equals, 4 times, open parenthesis, x minus 3, close parenthesis, plus 6","stimulus_html":"
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\n \n \"3\n

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If x is the solution to the equation above, what is the value of \"x ?

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Choice B is correct. Because 2 is a factor of both \"2 and 6, the expression \"2 can be rewritten as \"2. Substituting \"2 for \"2 on the left-hand side of the given equation yields \"3, or \"6. Subtracting \"4 from both sides of this equation yields \"2. Adding 11 to both sides of this equation yields \"2. Dividing both sides of this equation by 2 yields \"x.

Alternate approach: Distributing 3 to the quantity \"2 on the left-hand side of the given equation and distributing 4 to the quantity \"x on the right-hand side yields \"6, or \"6. Subtracting \"4 from both sides of this equation yields \"2. Adding 29 to both sides of this equation yields \"2. Dividing both sides of this equation by 2 yields \"x. Therefore, the value of \"x is \"the, or \"the.

Choice A is incorrect. This is the value of x, not \"x. Choices C and D are incorrect. If the value of \"x is \"the or \"negative, it follows that the value of x is \"the or \"negative, respectively. However, solving the given equation for x yields \"x. Therefore, the value of \"x can’t be \"the or \"negative.

\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.623000+00:00","source_updated_at":"2023-08-02T20:25:59.623000+00:00","options":[{"label":"A","content_html":"\"23\n","ord":0},{"label":"B","content_html":"\"17\n","ord":1},{"label":"C","content_html":"\"15\n","ord":2},{"label":"D","content_html":"\"negative,\n","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}}