{"id":"cb_practice_pdf:t10-math-m2-q22","source_id":"cb_practice_pdf","source_item_id":"t10-math-m2-q22","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":22,"stem":"–5x+13 = 73 What is the sum of the solutions to the given equation? −","stimulus":"","stimulus_html":null,"stem_html":"<p>–5x+13 = 73 What is the sum of the solutions to the given equation? −</p>","rationale_html":"<p>-5 +13 =73 Choice D is correct. By the definition of absolute value, if x , then -5 +13=73 -5 +13=-73 13 x or x . Subtracting from both sides of the -5 +13=73 -5 =60 equation x yields x . Dividing both sides of this equation by - =-12 13 5 yields x . Subtracting from both sides of the equation -5 +13=-73 -5 =-86 - x yields x . Dividing both sides of this equation by 5 = 86 -12 86 yields x 5. Therefore, the solutions to the given equation are and 5, and it -12+ 86 26 follows that the sum of the solutions to the given equation is 5, or 5. Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect. This is a solution, not the sum of the solutions, to the given equation. Choice C is incorrect and may result from conceptual or calculation errors.</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>146/5 −12</p>","ord":0},{"label":"B","content_html":"","ord":1},{"label":"C","content_html":"<p>0</p>","ord":2},{"label":"D","content_html":"<p>26/5</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}}