{"id":"cb_practice_pdf:t10-math-m2-q10","source_id":"cb_practice_pdf","source_item_id":"t10-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":null,"form_id":"cb_practice_pdf:test-10","module_number":2,"position":10,"stem":"= 76 y = −5 y x^2 The graphs of the given equations in the xy-plane (x,y) intersect at the point. What is a possible value of x? −","stimulus":"","stimulus_html":null,"stem_html":"<p>= 76 y = −5 y x^2 The graphs of the given equations in the xy-plane (x,y) intersect at the point. What is a possible value of x? −</p>","rationale_html":"<p>Choice B is correct. Since the point ^x,yh is an intersection point of the graphs of the given equations in the xy-plane, the pair ^x,yh should satisfy both equations, =76 and thus is a solution of the given system. According to the first equation, y . 76 2-5=76 Substituting in place of y in the second equation yields x . Adding 5 2=81 to both sides of this equation yields x . Taking the square root of both sides = =- of this equation yields two solutions: x 9 and x 9. Of these two solutions, - only 9 is given as a choice. 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. This is the value of coordinate y, rather than x, of the intersection point ^x,yh.</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>76/5 −9</p>","ord":0},{"label":"B","content_html":"","ord":1},{"label":"C","content_html":"<p>5</p>","ord":2},{"label":"D","content_html":"<p>76</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}}