[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-143684-105":59,"doc-detail-143684-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-digital-practice-test-1-section-2-module-2-math-explanation","SAT Digital Practice Test #1 - Section 2 - Module 2 - Math Explanation","","SAT Digital Practice Test #1 Section 2 Module 2 focuses on solving algebra and geometry problems involving linear relationships, equivalent expressions, and systems formed by word statements. It includes area of rectangles and volume of cylinders, function evaluation from given formulas, and interpreting graphs and intercepts to extract constants. Real-world contexts such as walking distance-time goals, leasing costs, and projectile height are modeled using equations and then solved for required values.",{"@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-digital-practice-test-1-section-2-module-2-math-explanation/143684/",{"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-digital-practice-test-1-section-2-module-2-math-explanation/143684.png","ImageObject",300,407,{"name":92,"@type":93},"Theodore","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-25","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you find x from the rectangle area problem with length x and width (x-15)?","Question",{"text":113,"@type":114},"Use the area formula A=length×width. Set x(x-15)=76 and solve the resulting quadratic equation for x.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How is the cylinder volume computed in the test?",{"text":118,"@type":114},"Use V=πr²h. With diameter 8, the radius is 4, so V=π(4²)(12)=192π.",{"name":120,"@type":111,"acceptedAnswer":121},"How do you determine the height when an object is kicked given h=-4.9t²+7t+9?",{"text":122,"@type":114},"The height at the kick is h when t=0. Substitute t=0 to get h=9 meters.","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},143684,1787696350,{"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":29,"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":130,"read_time":144},7971461740886,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","# SAT Digital Practice Test\\#1\n\nSection 2,Module 2:Math  \nA rectangle has a length of xunits and a width of(x-15)units.If the rectangle has an area of 76square units,what is the value of x?=x²-15X-76=xx-15)=76A=L.w  \nA)4B 19  \nC)23  \nD)76  \n2  \nA cylinder has a diameter of 8inches and a height of 12 inches.What is the volume,in cubicinches,of the cylinder?T(4²(2)=192TV:T√²h  \nA)16π  \nB)96π⑨192π  \nD)768π  \n   \n3  \nWhat is the area of a rectangle with a length of 17 centimeters(cm)and a width of7 cm?《班1=1.w  \nA)24cm²  \nB)48 cm²⑨119 cm²  \nD)576cm²  \n4  \nWhich expression is equivalent to 20w(4w+3w)?  \nA)10w  \nB)13w  \nC)19w  \nD)21w  \nThe number y is 84 less than the number x.Which equation represents the relationship between xandy?=X-8  \nA)y=x+84  \nB)  \nC)y=84xD y=x-84  \nThe expression  \nB)10  \nC)24  \nD)252  \nOut of 300 seeds that were planted,80%sprouted.How many of these seeds sprouted?  \n8  \nTy set a goal to walk at least 24kilometers every day to prepare for a multiday hike.On a certainday,Ty plans to walk at an average speed of 4 kilometers per hour.What is the minimum numberrof hours Ty must walk on that day to fulfill the daily goal?  \nA)4B6℃)20  \nD)24  \nwhat isthe value of 18+3x?  \n10  \nThe function f is defined by f(x)=x³+9.What is the value of f(2)?  \nThe total cost f(x),in dollars,to lease a car for 36 months from a particular car dealership is givenby f(x)=36x+1,000,where xis the monthly payment,in dollars.What is the total cost to leasea car when the monthly payment is $400?  \n   \n   \nA)$13,400  \nB)$13,000C $15,400  \nD)$37,400  \nThe function g is defined by g(x)=10x+8.What is the value of g(x)when x=8?  \nA)0  \nB)8  \nC)10D88  \n13□  \nx=180-133二4+  \nIn the figure,line jis parallel to line k.What is the value of x?  \nThe graph of7x+2y=-31in the xy-plane has an x-intercept at (ǜ,6)and ay-intercept at  \n(0,b),where a and b are constants.What is the value of -?  \nA)  \nB)  \nC)①  \n15  \nAn object travels at a constant speed of 12centimeters per second.At this speed,what is the time,in seconds,that it would take for the object to travel 108 centimeters?  \n   \n   \nC)120  \nD)972  \nJohn paid a total of $165 for a microscope by making a down payment of $37 plus p monthlypayments of $16each.Which of the following equations represents this situation?  \nA)16p-37=165  \nB)37p-16=16516p+37=165  \nD)37p+16=165  \n\n| X   | y   |\n| --- | --- |\n| 0   | 18   |\n| 1   | 13   |\n| 2   | 8   |\n\nThe table shows three values of x and their corresponding values of y.There is a linear relationship  \nbetween x andy.Which of the following equations represents this relationship this relationship?  \nA)y=18x+13  \nB)y=18x+18  \n2)y=-5x+13y=-5x+18  \n18  \nAn object is kicked from a platform.The equation h=-4.9t²+7t+9represents this situation,where h is the height of the object above the ground,in meters,t seconds after it is kicked.Whichnumber represents the height,in meters,from which the object was kicked?  \nA)0  \nB)4.9  \nC)7D9  \nWhich table gives three values of x and their corresponding values of h(x)for the given functionh?  \nA)  \n\n| x   | 1   | 2   | 3   |\n| --- | --- | --- | --- |\n| h(x)   | 4   | 5   | 9   |\n\nlug   \nC)⑨  \n\n| x   | 1   | 2   | 3   |\n| --- | --- | --- | --- |\n| h(x)   | -2   | 1   | 6   |\n\n\n| x   | 1   | 2   | 3   |\n| --- | --- | --- | --- |\n| h(x)   | -1   | 1   | 3   |\n\nD)  \n\n| x   | 1   | 2   | 3   |\n| --- | --- | --- | --- |\n| h(x)   | -2   | 1   | 3   |\n\n\n| 20   |  | (,12)   |\n| --- | --- | --- |\n|  |  |  |\n\nIn the linear function f,f(0)=8and f(1)=12.Which equation defines f?  \nA)f(x)=12x+8  \nB)f(x)=4x  \n21  \nThe given equation relates the numbers j,k,and m.Which equation correctly expresses k in termsof j and m?  \nA  \nD)k=5m-14j  \nRS=440MP  \nST=384  \nThe side lengths of right angle RST are given.Triangle RST is similar to triangle UVW,where Scorresponds toV and T corresponds to W.What is the value of tanW?  \n   \nA)  \nB)  \nC)①","cbCaildTDLuVKie4","https://ap.wps.com/l/cbCaildTDLuVKie4","pdf",1148131,"English","# Section 2, Module 2: Math\n## Algebra and Expressions\n## Area and Volume\n## Functions and Graphs\n## Word Problems and Modeling","[{\"question\":\"How do you find x from the rectangle area problem with length x and width (x-15)?\",\"answer\":\"Use the area formula A=length×width. Set x(x-15)=76 and solve the resulting quadratic equation for x.\"},{\"question\":\"How is the cylinder volume computed in the test?\",\"answer\":\"Use V=πr²h. With diameter 8, the radius is 4, so V=π(4²)(12)=192π.\"},{\"question\":\"How do you determine the height when an object is kicked given h=-4.9t²+7t+9?\",\"answer\":\"The height at the kick is h when t=0. Substitute t=0 to get h=9 meters.\"}]","SAT Digital Practice Test #1 - Section 2 - Module 2 - Math Explanation | PDF",15]