[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-405026-105":59,"doc-detail-405026-en":134},{"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":127,"head_meta":129,"extra_data":131,"updated_unix":133},105,"en","equations-and-inequalities-eoc-exam-preparation-review","Equations and Inequalities - EOC Exam Preparation Review","","This document provides a collection of sample mathematical problems designed for End-of-Course (EOC) exam preparation. It covers a diverse range of algebraic and geometric concepts, including rate calculations, growth modeling involving exponential and linear functions, solving linear inequalities, and determining geometric properties of spheres. The material is structured to help students practice and refine their analytical skills through step-by-step problem solving, ensuring readiness for standardized assessments and reinforcing fundamental mathematical principles across various application areas.",{"@graph":69,"@context":126},[70,84,105],{"@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/equations-and-inequalities-eoc-exam-preparation-review/405026/",{"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/equations-and-inequalities-eoc-exam-preparation-review/405026.png","ImageObject",300,407,{"name":92,"@type":93},"Logic","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-27",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118,122],{"name":109,"@type":110,"acceptedAnswer":111},"How does the speed of Sally compare to Alex in miles per hour?","Question",{"text":112,"@type":113},"Alex walks 1 mile in 15 minutes, which is 4 miles per hour. Sally walks 3520 yards in 24 minutes; since 1 mile is 1760 yards, she walks 2 miles in 24 minutes, which is 5 miles per hour. Therefore, Sally walks 1 mile per hour faster than Alex.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"When will Katie first have more points than Jennifer?",{"text":117,"@type":113},"Katie starts with 100 points and doubles them each turn, while Jennifer starts with 100 and adds 200 each turn. By the end of turn 1, Katie has 200 and Jennifer has 300. By the end of turn 2, Katie has 400 and Jennifer has 500. By the end of turn 3, Katie has 800 and Jennifer has 700, so Katie has more points starting at the end of the 3rd turn.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the solution for the inequality -6x - 17 >= 8x + 25?",{"text":121,"@type":113},"Subtracting 8x from both sides gives -14x - 17 >= 25, then adding 17 gives -14x >= 42. Dividing by -14 and reversing the inequality symbol results in x \u003C= -3.",{"name":123,"@type":110,"acceptedAnswer":124},"How do you find the approximate diameter of a sphere with a volume of 2,400 cubic centimeters?",{"text":125,"@type":113},"Using the formula V = (4/3)πr^3, set 2400 = (4/3)πr^3 and solve for r, which is approximately 8.32 cm. Since the diameter is twice the radius, the approximate diameter is 16.6 cm.","https://schema.org",{"og:url":83,"og:type":128,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":130,"canonical":83},"index,follow",{"doc_id":132,"site_id":62},405026,1790826190,{"code":4,"msg":5,"data":135},{"doc_id":132,"user_id":136,"nickname":92,"user_avatar":137,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":138,"file_id":139,"file_url":140,"file_type":141,"file_size":142,"view_count":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":143,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":144,"faqs":145,"seo_title":146,"seo_description":67,"update_tm":147,"read_time":24,"preview_page_count":4},1099513958762,"https://ap-avatar.wpscdn.com/avatar/1000023916a998db790?x-image-process=image/resize,m_fixed,w_180,h_180&k=1784791008015729253","EOC Prep Review (Equations & Inequalities)  \nDirections: The following questions are sample items similar to those found on the EOC Exam. Answer each to the best of your ability.  \n1.  \n2.   \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.","cbCaigRYDEYlXug2","https://ap.wps.com/l/cbCaigRYDEYlXug2","pdf",158953,"English","# Rate and Distance Calculations\n## Comparative Walking Speeds\n# Algebraic Games and Logic\n## Growth Comparison of Points\n# Solving Linear Inequalities\n## Inequality Solutions\n# Geometry and Volume\n## Sphere Diameter Calculation","[{\"question\":\"How does the speed of Sally compare to Alex in miles per hour?\",\"answer\":\"Alex walks 1 mile in 15 minutes, which is 4 miles per hour. Sally walks 3520 yards in 24 minutes; since 1 mile is 1760 yards, she walks 2 miles in 24 minutes, which is 5 miles per hour. Therefore, Sally walks 1 mile per hour faster than Alex.\"},{\"question\":\"When will Katie first have more points than Jennifer?\",\"answer\":\"Katie starts with 100 points and doubles them each turn, while Jennifer starts with 100 and adds 200 each turn. By the end of turn 1, Katie has 200 and Jennifer has 300. By the end of turn 2, Katie has 400 and Jennifer has 500. By the end of turn 3, Katie has 800 and Jennifer has 700, so Katie has more points starting at the end of the 3rd turn.\"},{\"question\":\"What is the solution for the inequality -6x - 17 \\u003e= 8x + 25?\",\"answer\":\"Subtracting 8x from both sides gives -14x - 17 \\u003e= 25, then adding 17 gives -14x \\u003e= 42. Dividing by -14 and reversing the inequality symbol results in x \\u003c= -3.\"},{\"question\":\"How do you find the approximate diameter of a sphere with a volume of 2,400 cubic centimeters?\",\"answer\":\"Using the formula V = (4/3)πr^3, set 2400 = (4/3)πr^3 and solve for r, which is approximately 8.32 cm. Since the diameter is twice the radius, the approximate diameter is 16.6 cm.\"}]","Equations and Inequalities - EOC Exam Preparation Review | PDF",1790553388]