{"id":"cb_practice_pdf:t11-math-m2-q5","source_id":"cb_practice_pdf","source_item_id":"t11-math-m2-q5","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-11","module_number":2,"position":5,"stem":"5 The function f is defined by f x = 9 2x + 3. For ^ h ^ h = what value of x does f x 63? ^ h","stimulus":"","stimulus_html":null,"stem_html":"<p>5 The function f is defined by f x = 9 2x + 3. For ^ h ^ h = what value of x does f x 63? ^ h</p>","rationale_html":"<p>63 Choice A is correct. Substituting for f^xh in the given function yields 63=9 2 +3 7=2 +3 ^ x h. Dividing both sides of this equation by 9 yields x . 4=2 Subtracting 3 from both sides of this equation yields x. Dividing both sides = =63 of this equation by 2 yields 2 x. Therefore, f^xh when the value of x is 2. Choice B 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":["A"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>2</p>","ord":0},{"label":"B","content_html":"<p>5</p>","ord":1},{"label":"C","content_html":"<p>7</p>","ord":2},{"label":"D","content_html":"<p>30</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}}