{"id":"cb_practice_pdf:t7-math-m1-q22","source_id":"cb_practice_pdf","source_item_id":"t7-math-m1-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":"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-7","module_number":1,"position":22,"stem":"Points Q and R lie on a circle with center P. The radius of this circle is 9 inches. Triangle PQRhas a perimeter of 31 inches. What is the length, in inches, of QR? 13 2","stimulus":"","stimulus_html":null,"stem_html":"<p>Points Q and R lie on a circle with center P. The radius of this circle is 9 inches. Triangle PQRhas a perimeter of 31 inches. What is the length, in inches, of QR? 13 2</p>","rationale_html":"<p>Choice B is correct. Since it’s given that P is the center of a circle with a radius of 9 inches, and that points Q and R lie on that circle, it follows that PQ and RP of triangle PQR each have a length of 9 inches. Let the length of QR be x inches. It + + follows that the perimeter of triangle PQR is 9 9 x inches. Since it’s given that 31 9+9+ =31 the perimeter of triangle PQR is inches, it follows that x , or 18+ =31 18 =13 x . Subtracting from both sides of this equation gives x . 13 Therefore, the length, in inches, of QR is . Choice A is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["B"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"","ord":0},{"label":"B","content_html":"<p>13</p>","ord":1},{"label":"C","content_html":"<p>9 2</p>","ord":2},{"label":"D","content_html":"<p>9</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}}