[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-455938-105":59,"doc-detail-455938-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","psat-10-practice-test-2-answer-explanations-455938","PSAT 10 Practice Test #2 - Answer Explanations","","Answer explanations for PSAT™ 10 Practice Test #2, designed for students taking the digital test in a nondigital format. Covers multiple math problems across the first module, providing step-by-step reasoning for correct choices and brief notes on why each incorrect option may result from conceptual or calculation errors. Includes solutions expressed through equations, inequalities, function evaluation, graph intercept interpretation, and probability using given tables and counts.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/psat-10-practice-test-2-answer-explanations-455938/455938/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/psat-10-practice-test-2-answer-explanations-455938/455938.png","ImageObject",300,407,{"name":92,"@type":93},"asda1da","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the purpose of these PSAT 10 Practice Test #2 answer explanations?","Question",{"text":113,"@type":114},"They provide explanations for the answers on PSAT™ 10 Practice Test #2, intended for students using a nondigital format.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How are some problems on the math section explained?",{"text":118,"@type":114},"Solutions are shown by rewriting equations, substituting values, combining like terms, or translating conditions into inequalities, then solving for the required variable.",{"name":120,"@type":111,"acceptedAnswer":121},"How do the explanations address incorrect answer choices?",{"text":122,"@type":114},"For wrong choices, the document states that the error may come from conceptual misunderstandings or calculation mistakes, often clarifying what value or interpretation the choice corresponds to instead.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},455938,1791033701,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":56,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145},3985747861852,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","PSAT™ 10  \nPractice Test \\# 2   \nANSWER EXPLANATIONS  \nThese answer explanations are for students taking the digital PSAT 10 in nondigital format.  \n© 2023 College Board. College Board, SAT, and the acorn logo are registered trademarks of College Board.  \nMath  \nModule 1  \n(27 questions)  \nQUESTION 1  \nChoice A is correct. The given absolute value equation can be rewritten as two linear equations: x+45 = 48 and-^x+45h = 48, or x+45 =-48 . Subtracting  \n45 from both sides of the equation x+45 = 48 yields x = 3. Subtracting 45 from both sides of the equation x+45 = -48 yields x = -93. Thus, the given equation has two possible solutions, 3 and-93. Therefore, the positive solution to the given equation is 3.  \nChoice B is incorrect and may result from conceptual or calculation errors.  \nChoice C is incorrect and may result from conceptual or calculation errors.  \nChoice D is incorrect and may result from conceptual or calculation errors.  \nQUESTION 2  \nChoice A is correct. The first equation in the given system of equations is x = 4. Substituting 4 for x in the second equation in the given system of equations yields y = 5-4, or y = 1.  \nChoice B is incorrect. This is the value of x in the solution to the given system of equations, not the value of y. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.  \nQUESTION 3  \nChoice C is correct. Let d represent the mass, in grams, of vitamin D in the mixture, and let c represent the mass, in grams, of calcium in the mixture. It’s given that the mixture consists of only vitamin D and calcium and that the total mass of the mixture is 150 grams. Therefore, the equation d+ c = 150 represents this situation. It’s also given that the mass of vitamin D in the mixture is 50 grams. Substituting 50 for d in the equation d+ c = 150 yields 50+c = 150. Subtracting  \n32 PSAT 10 PRACTICE TEST \\#2 ANSWER EXPLANATIONS  \n50 from both sides of this equation yields c = 100. Therefore, the mass of calcium in the mixture is 100 grams.  \nChoice A is incorrect and may result from conceptual or calculation errors.  \nChoice B is incorrect. This is the total mass, in grams, of the mixture, not the mass, in grams, of calcium in the mixture. Choice D is incorrect. This is the mass, in grams, of vitamin D in the mixture, not the mass, in grams, of calcium in the mixture.  \nQUESTION 4  \nChoice C is correct. It’s given that this service contract requires a monthly cost of W23 . A monthly cost of W23 for t months results in a cost of W23t . It’s also given that this service contract requires a onetime activation cost of W35 . Adding the onetime activation cost to the monthly cost of the service contract for t months yields the total cost c, in dollars, of this service contract for t months. Therefore, this situation can be represented by the equation c = 23t+35.  \nChoice A is incorrect and may result from conceptual or calculation errors.  \nChoice B is incorrect and may result from conceptual or calculation errors.  \nChoice D is incorrect and may result from conceptual or calculation errors.  \nQUESTION 5  \nChoice B is correct. It’s given that the function f is defined by f^xh = 3x-8 . The value of f^7h is the value of f^xh when x = 7. Substituting 7 for x in the given equation yields f^7h = 3 ^7h-8, which is equivalent to f^7h = 21-8, or f^7h = 13. Choice A is incorrect. This is the value of f^7h when f^xh = 3x+8, rather than f^xh = 3x-8 . Choice C is incorrect. This is the value of f^1h, rather than f^7h.  \nChoice D is incorrect. This is the value of f^-7h, rather than f^7h.  \nQUESTION 6  \nThe correct answer is 40. They-intercept of a graph in the xy-plane is the point ^x, yh on the graph where x = 0. They-intercept of the graph shown is ^0, 40h.  \nTherefore, the value of y is 40.  \nQUESTION 7  \nThe correct answer is 130. It’s given that 8x-7x+130 = 260. Combining like terms on the left-hand side of this equation yields x+","cbCaiiJv1oVcYKPR","https://ap.wps.com/l/cbCaiiJv1oVcYKPR","pdf",474339,"English","# Math\n## Module 1","[{\"question\":\"What is the purpose of these PSAT 10 Practice Test #2 answer explanations?\",\"answer\":\"They provide explanations for the answers on PSAT™ 10 Practice Test #2, intended for students using a nondigital format.\"},{\"question\":\"How are some problems on the math section explained?\",\"answer\":\"Solutions are shown by rewriting equations, substituting values, combining like terms, or translating conditions into inequalities, then solving for the required variable.\"},{\"question\":\"How do the explanations address incorrect answer choices?\",\"answer\":\"For wrong choices, the document states that the error may come from conceptual misunderstandings or calculation mistakes, often clarifying what value or interpretation the choice corresponds to instead.\"}]","PSAT 10 Practice Test #2 - Answer Explanations | PDF",1790744729,48]