{"id":"cb_practice_pdf:t8-math-m1-q13","source_id":"cb_practice_pdf","source_item_id":"t8-math-m1-q13","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":"spr","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-8","module_number":1,"position":13,"stem":"- - - - - -_=_198 - - - ~ 2a+8b 2a+4b = 98 The solution to the given system of equations is (a,b). What is the value of b?","stimulus":"","stimulus_html":null,"stem_html":"<p>- - - - - -_=_198 - - - ~ 2a+8b 2a+4b = 98 The solution to the given system of equations is (a,b). What is the value of b?</p>","rationale_html":"<p>25 The correct answer is . Subtracting the second equation from the first equation 2 -2 + 8 -4 =198-98 in the given system of equations yields ^ a ah ^ b bh , which is 0+4 =100 4 =100 equivalent to b , or b . Dividing each side of this equation by 4 =25 yields b .</p>","correct_answer":["25"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[],"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}}