Which expression is equivalent to (8x(x−7)−3(x−7))/(2x−14), where x > 7?
","rationale_html":"Choice B is correct. The given expression has a common factor of 2 in the 8 -7-3 -7 denominator, so the expression can be rewritten as x^x 2 h -7^x h. The three ^x h - terms in this expression have a common factor of ^x 7h. Since it’s given that > - x 7, x can’t be equal to 7, which means ^x 7h can’t be equal to 0. Therefore, each term in the expression, 8 x^x - 2 7 h - - 3 7^x -7 h, can be divided by ^x - 7h, which 8 -3 ^x h gives x2 . 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.
","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":"(x−7)/5
","ord":0},{"label":"B","content_html":"(8x−3)/2
","ord":1},{"label":"C","content_html":"(8 x^2 −3 x −14)/(2x−14)
","ord":2},{"label":"D","content_html":"(8x^2 −3x−77)/(2x−14)
","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}}