{"id":"cb_practice_pdf:t11-math-m1-q8","source_id":"cb_practice_pdf","source_item_id":"t11-math-m1-q8","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-11","module_number":1,"position":8,"stem":"8 In a chess tournament, each participant earns 1 point for each game the participant plays that ends in a draw and 3 points for each game the participant wins. A certain participant in this tournament has earned 41 points. Which equation represents this situation, where d represents the number of games this participant has played that ended in a draw and w represents the number of games this participant has won?","stimulus":"","stimulus_html":null,"stem_html":"<p>8 In a chess tournament, each participant earns 1 point for each game the participant plays that ends in a draw and 3 points for each game the participant wins. A certain participant in this tournament has earned 41 points. Which equation represents this situation, where d represents the number of games this participant has played that ended in a draw and w represents the number of games this participant has won?</p>","rationale_html":"<p>Choice A is correct. It’s given that each participant earns 1 point for each game the participant plays that ends in a draw and 3 points for each game the participant wins. Since d represents the number of games that a certain participant has played that ended in a draw and w represents the number of 1 +3 games this participant has won, this participant has earned a total of d w, or + 41 +3 =41 d 3w, points. Since this participant earned points, the equation d w represents this situation. Choice B is incorrect. This equation represents the situation where the participant earned 3 points for each game played that ended in a draw and 1 point for each 41 game won and earned points. Choice C is incorrect. This equation represents the situation where the participant earned 1 point for each game played that 1 41 ended in a draw and 3 point for each game won and earned points. Choice D is incorrect. This equation represents the situation where the participant earned 1 3 point for each game played that ended in a draw and 1 point for each game won 41 and earned points.</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>d + 3w = 41 + =</p>","ord":0},{"label":"B","content_html":"<p>3d w 41 w</p>","ord":1},{"label":"C","content_html":"<p>d + = 41 3 d</p>","ord":2},{"label":"D","content_html":"<p>+ w = 41 3</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}}