{"id":"cb_practice_pdf:t6-math-m1-q11","source_id":"cb_practice_pdf","source_item_id":"t6-math-m1-q11","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-6","module_number":1,"position":11,"stem":"y > 4x+8 For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?","stimulus":"","stimulus_html":null,"stem_html":"<p>y &gt; 4x+8 For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?</p>","rationale_html":"<p>Choice A is correct. In each choice, the values of x are 2, 4, and 6. Substituting 24 2+8 216 the first value of x, 2, for x in the given inequality yields y ^ h , or y . = 16 Therefore, when x 2, the corresponding value of y must be greater than . Of the given choices, only choice A is a table where the value of y corresponding to = 16 x 2 is greater than . To confirm that the other values of x in this table and their corresponding values of y are also solutions to the given inequality, the values of x and y in the table can be substituted for x and y in the given 30 inequality. Substituting 4 for x and for y in the given inequality yields 3024 4+8 30224 41 ^ h , or , which is true. Substituting 6 for x and for y in the 4124 6+8 41232 given inequality yields ^ h , or , which is true. It follows that for choice A, all the values of x and their corresponding values of y are solutions to the given inequality. Choice B is incorrect. Substituting 2 for x and 8 for y in the given inequality 824 2+8 8216 yields ^ h , or , which is false. Choice C is incorrect. Substituting 2 13 1324 2+8 13216 for x and for y in the given inequality yields ^ h , or , which is 13 false. Choice D is incorrect. Substituting 2 for x and for y in the given 1324 2+8 13216 inequality yields ^ h , or , which is false. 36 SAT PRACTICE TEST #6 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1</p>","correct_answer":["A"],"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 2 19 4 30 6 41</p>","ord":0},{"label":"B","content_html":"<p>x y 2 8 4 16 6 24</p>","ord":1},{"label":"C","content_html":"<p>x y 2 13 4 18 6 23</p>","ord":2},{"label":"D","content_html":"<p>x y 2 13 4 21 6 29</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}}