{"id":"cb_practice_pdf:t9-math-m2-q22","source_id":"cb_practice_pdf","source_item_id":"t9-math-m2-q22","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":null,"form_id":"cb_practice_pdf:test-9","module_number":2,"position":22,"stem":"y > 13x−18 For which of the following tables are all the values of xand their corresponding values of ysolutions to the given inequality?","stimulus":"","stimulus_html":null,"stem_html":"<p>y &gt; 13x−18 For which of the following tables are all the values of xand their corresponding values of ysolutions to the given inequality?</p>","rationale_html":"<p>Choice D is correct. All the tables in the choices have the same three values of x, so each of the three values of x can be substituted in the given inequality to compare the corresponding values of y in each of the tables. Substituting 3 for &gt;13 3 -18 &gt;21 = x in the given inequality yields y ^ h , or y . Therefore, when x 3, 21 the corresponding value of y is greater than . Substituting 5 for x in the given &gt;13 5 -18 &gt;47 = inequality yields y ^ h , or y . Therefore, when x 5, the 47 corresponding value of y is greater than . Substituting 8 for x in the given &gt;13 8 -18 &gt;86 = inequality yields y ^ h , or y . Therefore, when x 8, the 86 = corresponding value of y is greater than . For the table in choice D, when x 3, 26 21 = the corresponding value of y is , which is greater than ; when x 5, the 52 47 = corresponding value of y is , which is greater than ; when x 8, the 91 86 corresponding value of y is , which is greater than . Therefore, the table in choice D gives values of x and their corresponding values of y that are all solutions to the given inequality. 45 SAT PRACTICE TEST #9 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 2 = Choice A is incorrect. In the table for choice A, when x 3, the corresponding 21 21 = value of y is , which is not greater than ; when x 5, the corresponding value 47 47 = of y is , which is not greater than ; when x 8, the corresponding value of y 86 86 is , which is not greater than . Choice B is incorrect. In the table for choice B, = 42 47 when x 5, the corresponding value of y is , which is not greater than ; = 86 86 when x 8, the corresponding value of y is , which is not greater than . = Choice C is incorrect. In the table for choice C, when x 3, the corresponding 16 21 = value of y is , which is not greater than ; when x 5, the corresponding value 42 47 = of y is , which is not greater than ; when x 8, the corresponding value of y 81 86 is , which is not greater than .</p>","correct_answer":["D"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>x y 3 21 5 47 8 86</p>","ord":0},{"label":"B","content_html":"<p>x y 3 26 5 42 8 86</p>","ord":1},{"label":"C","content_html":"<p>x y 3 16 5 42 8 81</p>","ord":2},{"label":"D","content_html":"<p>x y 3 26 5 52 8 91</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}}