{"id":"cb_practice_pdf:t8-math-m1-q8","source_id":"cb_practice_pdf","source_item_id":"t8-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-8","module_number":1,"position":8,"stem":"f(x) = 4x+b For the linear function f, b is a constant f(7) = 28 and. What is the value of b?","stimulus":"","stimulus_html":null,"stem_html":"<p>f(x) = 4x+b For the linear function f, b is a constant f(7) = 28 and. What is the value of b?</p>","rationale_html":"<p>7 =28 Choice A is correct. For the linear function f, it’s given that f^ h . Substituting 28 28=4 7 + 28=28+ 7 for x and for f^xh in the given function yields ^ h b, or b. 28 = Subtracting from each side of this equation yields 0 b. Therefore, the value of b is 0. =4 +1 Choice B is incorrect. Substituting 1 for b in the given function yields f^xh x . 29 28 For this function, when the value of x is 7, the value of f^xh is , not . Choice C = + is incorrect. Substituting 4 for b in the given function yields f^xh 4x 4. For this 32 28 function, when the value of x is 7, the value of f^xh is , not . Choice D is =4 +7 incorrect. Substituting 7 for b in the given function yields f^xh x . For this 35 28 function, when the value of x is 7, the value of f^xh is , not . 33 SAT PRACTICE TEST #8 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>0</p>","ord":0},{"label":"B","content_html":"<p>1</p>","ord":1},{"label":"C","content_html":"<p>4</p>","ord":2},{"label":"D","content_html":"<p>7</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}}