[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-267622-105":59,"doc-detail-267622-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","sat-practice-test-answer-explanations-9","SAT Practice Test - Answer Explanations - 9","","Digital SAT Practice Test #9 answer explanations covering Math Module 1 questions. Solutions explain how each correct choice is derived using perimeter and algebraic equation setup, inequality reasoning for minimum time, exponent substitution followed by solving quadratics, factoring and polynomial equivalence, mean calculation from data sets, and function-based profit modeling. Additional explanations also translate walking/running rates into linear equations and convert payment schedules into total-cost expressions. Each question contrasts correct answers with incorrect choices by highlighting conceptual or calculation issues.",{"@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/sat-practice-test-answer-explanations-9/267622/",{"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/sat-practice-test-answer-explanations-9/267622.png","ImageObject",300,407,{"name":92,"@type":93},"Lucas Martin","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-21","2026-09-14",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",15,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How are perimeter problems solved in these explanations?","Question",{"text":113,"@type":114},"They use the rule that a triangle’s perimeter equals the sum of its three side lengths, then set the resulting expression equal to the given perimeter to solve for the unknown side.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What method is used to find a minimum number of hours from an inequality?",{"text":118,"@type":114},"They express distance as speed times time, write the goal as an inequality using the minimum required distance, then divide to isolate the time variable and determine the smallest whole-number time.",{"name":120,"@type":111,"acceptedAnswer":121},"How do the explanations handle function or equation substitutions?",{"text":122,"@type":114},"They replace the specified variable or output value in the function/equation, simplify to a solvable algebraic equation, and then interpret the resulting value in terms of the original question.","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},267622,1789423222,{"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":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":130,"read_time":145},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","The SAT®  \nPractice Test \\# 9   \nANSWER EXPLANATIONS  \nThese answer explanations are for students taking the digital SAT in nondigital format.  \n© 2025 College Board. College Board, SAT, and the acorn logo are registered trademarks of College Board.  \nMath  \nModule 1  \n(27 questions)  \nQUESTION 1  \nChoice B is correct. The perimeter of a triangle is the sum of the lengths of all three of its sides. It’s given that the lengths of two sides of a triangle are  \n4 centimeters and 6 centimeters. Let x represent the length, in centimeters, of the third side of this triangle. The sum of the lengths, in centimeters, of all three sides of the triangle can be represented by the expression 4+6+x. Since it’s given that the perimeter of the triangle is 18 centimeters, it follows that 4+6+x = 18, or 10+x = 18. Subtracting 10 from both sides of this equation yields x = 8. Therefore, the length, in centimeters, of the third side of this triangle is 8.  \nChoice A is incorrect. If the length of the third side of this triangle were  \n2 centimeters, the perimeter, in centimeters, of the triangle would be 4+6+2, or  \n12, not 18. Choice C is incorrect. If the length of the third side of this triangle were  \n10 centimeters, the perimeter, in centimeters, of the triangle would be 4+6+10, or 20, not 18. Choice D is incorrect. If the length of the third side of this triangle were 24 centimeters, the perimeter, in centimeters, of the triangle would be 4+6+24, or 34, not 18.  \nQUESTION 2  \nChoice C is correct. It’s given that 16x+30 = 190. Subtracting 30 from each side of this equation yields 16x = 160. Therefore, the equation 16x = 160 is equivalent to the given equation and has the same solution.  \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.  \n31 SAT PRACTICE TEST \\#9 ANSWER EXPLANATIONS  \nQUESTION 3  \nChoice B is correct. It’s given that Ty plans to walk at an average speed of  \n4 kilometers per hour. The number of kilometers Ty will walk is determined by the expression 4s, where s is the number of hours Ty walks. The given goal of at least  \n24 kilometers means that the inequality 4s$24 represents the situation. Dividing both sides of this inequality by 4 gives s$6, which corresponds to a minimum of 6 hours Ty must walk.  \nChoice A 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 4  \nChoice A is correct. It’s given that g^xh = x2 +9. Substituting 25 for g^xh in this equation yields 25 = x2 +9. Subtracting 9 from both sides of this equation yields 16 = x2 . Taking the square root of each side of this equation yields x = !4 . It follows that g^xh = 25 when the value of x is 4 or-4. Only 4 is listed among the choices.  \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 5  \nChoice A is correct. Since x is a factor of each term in the given expression, the expression is equivalent to x^9xh+x^5h, or x^9x+5h.  \nChoice B is incorrect. This expression is equivalent to 45x2 +5x , not 9x2 +5x.  \nChoice C is incorrect. This expression is equivalent to 9x2 +45x , not 9x2 +5x.  \nChoice D is incorrect. This expression is equivalent to 9x3 +5x2 , not 9x2 +5x.  \nQUESTION 6  \nThe correct answer is 9. The mean of a data set is the sum of the values in the data set divided by the number of values in the data set. It follows that the mean height, in centimeters, of these plants is the sum of the heights, in centimeters, of each plant, 6+10+13+2+15+22+10+4+4+4, or 90, divided by the number of plants in the data set, ","cbCaigG316zYmlBc","https://ap.wps.com/l/cbCaigG316zYmlBc","pdf",1271927,18,"English","# Math\n## Module 1 (27 questions)\n## Question 1\n## Question 2\n## Question 3\n## Question 4\n## Question 5\n## Question 6\n## Question 7\n## Question 8\n## Question 9\n## Question 10","[{\"question\":\"How are perimeter problems solved in these explanations?\",\"answer\":\"They use the rule that a triangle’s perimeter equals the sum of its three side lengths, then set the resulting expression equal to the given perimeter to solve for the unknown side.\"},{\"question\":\"What method is used to find a minimum number of hours from an inequality?\",\"answer\":\"They express distance as speed times time, write the goal as an inequality using the minimum required distance, then divide to isolate the time variable and determine the smallest whole-number time.\"},{\"question\":\"How do the explanations handle function or equation substitutions?\",\"answer\":\"They replace the specified variable or output value in the function/equation, simplify to a solvable algebraic equation, and then interpret the resulting value in terms of the original question.\"}]","SAT Practice Test - Answer Explanations - 9 | PDF",45]