{"id":"cb_practice_pdf:t4-math-m1-q19","source_id":"cb_practice_pdf","source_item_id":"t4-math-m1-q19","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":"Part of this question was typeset outside the text flow — a fraction, subscript or similar — and PDF extraction re-inserted it in the wrong place. The wording is reliable; the symbols may be out of order.","form_id":"cb_practice_pdf:test-4","module_number":1,"position":19,"stem":"(14 x)/(7 y) = 2 w + 19 The given equation relates the distinct positive real numbers w, x, and y. Which equation correctly expresses w in terms of x and y? f","stimulus":"","stimulus_html":null,"stem_html":"<p>(14 x)/(7 y) = 2 w + 19 The given equation relates the distinct positive real numbers w, x, and y. Which equation correctly expresses w in terms of x and y? f</p>","rationale_html":"<p>Choice C is correct. Dividing each side of the given equation by 2 yields + 14x=2 w 19 x = + , or w 19. Because it’s given that each of the variables is 14y 2 y positive, squaring each side of this equation yields the equivalent equation ( )2 ( )2 x = + x - = w 19. Subtracting 19 from each side of this equation yields 19 w, y ( )2 y x= - or w 19. y Choice A is incorrect. This equation isn’t equivalent to the given equation. Choice B is incorrect. This equation isn’t equivalent to the given equation. Choice D is incorrect. This equation isn’t equivalent to the given equation.</p>","correct_answer":["C"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>w = x/y −19 F</p>","ord":0},{"label":"B","content_html":"<p>w = (28 x)/(14 y) −19 2</p>","ord":1},{"label":"C","content_html":"<p>w = x/y − 19 2</p>","ord":2},{"label":"D","content_html":"<p>w = 28x/14y − 19</p>","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}