{"id":"cb_practice_pdf:t9-math-m2-q25","source_id":"cb_practice_pdf","source_item_id":"t9-math-m2-q25","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-9","module_number":2,"position":25,"stem":"Which expression is equivalent to (y +12)/(x−8) + (y(x−8))/(x^2 y−8xy)?","stimulus":"","stimulus_html":null,"stem_html":"<p>Which expression is equivalent to (y +12)/(x−8) + (y(x−8))/(x^2 y−8xy)?</p>","rationale_html":"<p>Choice C is correct. Factoring the denominator in the second term of the given expression gives y + - 1 8 2 +y^x - - 8 8h. This expression can be rewritten with common denominators by m x ultiply x in y^ g x the h first term by xy , giving xy^y + - 1 8 2 h+y^x - - 8 8h. Adding +12+ -8 xy xy^x h xy^x h these two terms yields xy^y h -8 y^x h. Using the distributive property to rewrite xy^x h 2+12 + -8 xy xy xy y this expression gives 2 -8 . Combining the like terms in the numerator x y xy 2+13 -8 xy xy y of this expression gives 2 -8 . x y xy Choice A is incorrect and may result from conceptual or calculation errors. Choice B 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":["C"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>(xy + y +4)/(x^3 y −16 x^2 y +64 xy)</p>","ord":0},{"label":"B","content_html":"<p>(xy +9y +12)/(x^2 y−8xy +x−8)</p>","ord":1},{"label":"C","content_html":"<p>(xy^2 +13xy−8y)/(x^2 y−8xy)</p>","ord":2},{"label":"D","content_html":"<p>(xy^2 +13xy−8y)/(x^3 y−16x^2 y +64xy)</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}}