{"id":"cb_practice_pdf:t5-math-m2-q23","source_id":"cb_practice_pdf","source_item_id":"t5-math-m2-q23","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-5","module_number":2,"position":23,"stem":"+42ak Which expression is equivalent to 42a/k, where k > 0?","stimulus":"","stimulus_html":null,"stem_html":"<p>+42ak Which expression is equivalent to 42a/k, where k &gt; 0?</p>","rationale_html":"<p>Choice D is correct. Two fractions can be added together when they have a 2 common denominator. Since k 0, multiplying the second term in the given 42 42 2 expression by k yields ^ akhk , which is equivalent to ak . Therefore, the 42 a k +42 k 42 a+42 ak 2 k expression ak can be written as which is equivalent to 42 +42 2 k k k a ak . Since each term in the numerator of this expression has a factor of 42 a, k the expression 42 a +42 ak 2 can be rewritten as 42 a^ 1 h +42 a^k 2 h , or 42 a^ 1+ k 2 h , k k k 42 2+1 which is equivalent to a^k h. k 42 a+42 a Choice A is incorrect. This expression is equivalent to . Choice B is k k incorrect and may result from conceptual or calculation errors. Choice C is 42 a+42 incorrect. This expression is equivalent to a. k</p>","correct_answer":["D"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>84a/k</p>","ord":0},{"label":"B","content_html":"<p>(84ak^2)/k</p>","ord":1},{"label":"C","content_html":"<p>(42a k+1)/k</p>","ord":2},{"label":"D","content_html":"<p>(42a k^2 +1)/k</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}}