{"id":"cb_practice_pdf:t6-math-m2-q10","source_id":"cb_practice_pdf","source_item_id":"t6-math-m2-q10","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-6","module_number":2,"position":10,"stem":"7(2x−3) = 63 Which equation has the same solution as the given equation? 2x−3 = 9","stimulus":"","stimulus_html":null,"stem_html":"<p>7(2x−3) = 63 Which equation has the same solution as the given equation? 2x−3 = 9</p>","rationale_html":"<p>Choice A is correct. Dividing each side of the given equation by 7 yields 7 ^ 2 x 7 -3 h= 6 7 3 , or 2 x -3=9 . Therefore, the equation 2 x -3=9 is equivalent to the given equation and has the same solution. 7 2 -3 =392 Choice B is incorrect. This equation is equivalent to ^ x h , not 7 2 -3 =63 ^ x h . Choice C is incorrect. Distributing 7 on the left-hand side of the 14 -21=63 2 -21=63 given equation yields x , not x . Choice D is incorrect. 14 -21=63 Distributing 7 on the left-hand side of the given equation yields x , not 2 -21=70 x .</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>2x−3 = 56</p>","ord":0},{"label":"B","content_html":"<p>2x−21 = 63</p>","ord":1},{"label":"C","content_html":"<p>2x−21 = 78</p>","ord":2},{"label":"D","content_html":"","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}}