{"id":"cb_practice_pdf:t11-math-m1-q12","source_id":"cb_practice_pdf","source_item_id":"t11-math-m1-q12","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-11","module_number":1,"position":12,"stem":"12 + = x 5 14 = + y 4x^2 4 At what point x,y do the graphs of the equations in ^ h the given system intersect?","stimulus":"","stimulus_html":null,"stem_html":"<p>12 + = x 5 14 = + y 4x^2 4 At what point x,y do the graphs of the equations in ^ h the given system intersect?</p>","rationale_html":"<p>Choice B is correct. The point ^x,yh at which the graphs of the given equations intersect is the solution to the system of equations. Subtracting 5 from both sides +5=14 = of the equation x yields x 9. Substituting 9 for x in the equation =4 2+4 =4 9 2+4 =328 y x yields y ^ h , or y . Therefore, the graphs of the 9,328 equations in the given system intersect at the point ^ h. 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.</p>","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":"<p>9,324 ^ h</p>","ord":0},{"label":"B","content_html":"<p>9,328 ^ h</p>","ord":1},{"label":"C","content_html":"<p>14,4 ^ h</p>","ord":2},{"label":"D","content_html":"<p>14,788 ^ h</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}}