[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-144313-105":3,"detail-sidebar-cat-0-en-105":85,"doc-detail-144313-en":135},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":78,"head_meta":80,"extra_data":82,"updated_unix":84},105,"en","sat-math-quiz1","SAT MATH QUIZ(1)","","Practice and review questions focused on SAT Math topics, including similar triangles with angle and tangent relationships, circle geometry in the coordinate plane with center/tangent and equation selection, and probability-style percent calculations for set intersections. Additional items include enrollment growth expressed through percentages, quadratic modeling of height over time to compute future values, algebraic function parameter determination, and linear cost equations for day-based pricing. A scatterplot question asks for average rate of change between two dates.",{"@graph":14,"@context":77},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/sat-math-quiz1/144313/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/sat-math-quiz1/144313.png","ImageObject",300,407,{"name":42,"@type":43},"Ophelia","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-06","2026-08-25",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",13,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69,73],{"name":60,"@type":61,"acceptedAnswer":62},"How do you find the length DE from the similar triangles with right angles and tan(A)=√3?","Question",{"text":63,"@type":64},"Use the similarity correspondence between triangles to relate corresponding sides. Then apply the tangent value with the right-angle setup to determine the needed ratio and compute DE from the given DF.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What information is required to write the equation of a circle in standard form?",{"text":68,"@type":64},"You need the center coordinates and the radius. The radius comes from the distance between the center and a point on the circle, and then the equation (x−h)^2+(y−k)^2=r^2 is formed.",{"name":70,"@type":61,"acceptedAnswer":71},"How can the cost of renting the backhoe be modeled as an equation in x days?",{"text":72,"@type":64},"Account for the first day cost separately and add the per-additional-day cost for days beyond 1. This yields a linear expression in x with the correct slope and intercept among the choices.",{"name":74,"@type":61,"acceptedAnswer":75},"How do you compute the average rate of change from the scatterplot between January 13 and January 15?",{"text":76,"@type":64},"Read the y-values (hours) at those two x-values (days after January 11) and compute (y2−y1)/(x2−x1). The result gives hours per day.","https://schema.org",{"og:url":32,"og:type":79,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":81,"canonical":32},"index,follow",{"doc_id":83,"site_id":7},144313,1787699221,{"code":4,"msg":86,"data":87},"success",[88,92,96,99,104,109,114,119,124,127,131],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":93,"show_sort_weight":94,"slug":95},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":97,"slug":98},70,"exam",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},5,"Comic",60,"comic",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},6,"Technology",50,"technology",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},7,"Healthcare",40,"healthcare",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},8,"Research & Report",30,"research-report",{"id":120,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":122,"slug":123},9,"Religion & Spirituality",20,"religion-spirituality",{"id":122,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":122,"slug":126},"World Cup","world-cup",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":128,"slug":130},10,"Lifestyle","lifestyle",{"id":132,"doc_module":4,"doc_module_name":25,"category_name":133,"show_sort_weight":100,"slug":134},19,"General","general",{"code":4,"msg":86,"data":136},{"doc_id":83,"user_id":137,"nickname":42,"user_avatar":138,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":139,"file_id":140,"file_url":141,"file_type":142,"file_size":143,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":128,"language":144,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":145,"faqs":146,"seo_title":147,"seo_description":12,"update_tm":84,"read_time":148},7971461741311,"https://ap-avatar.wpscdn.com/avatar/74000253aff267980c6?x-image-process=image/resize,m_fixed,w_180,h_180&k=1779345379180704826","l  \nTriangle ABC is similar to triangleDEF,where A corresponds to D andC corresponds to F.Angles C and Fare right angles.If tan(A)=√3 andDF=125,what is the length of DE?  \nC.125√3  \nD.250  \n###### SAT☒\n\n## Sat(score 1500+Z\n\n2  \nA circle in the xy-plane has its center at(-4,-6).Line k is tangent to thiscircle at the point(-7,-7).What isthe slope of line k?  \nA.-3  \nB.  \nD.3  \nSATa  \n## Sat(score 1500+\n\n3  \nA circle in the xy-plane has its center at(-4,5)and the point(-8,8)lies onthe circle.Which equation representsthis circle?  \nA.(x-4)²+(y+5)²=5  \nB.(x+4)²+(y-5)²=5  \nC.(x-4)²+(y+5)²=25  \nD.(x+4)²+(y-5)²=25  \nSATa  \n#### Sat(score 1500+M\n\n4  \n37%of the items in a box are green.Ofthose,37%are also rectangular.Of thegreen rectangular items,42%are alsometal.Which of the following is closestto the percentage of the items in thebox that are not rectangular greenmetal items?  \nA.1.16%  \nB.57.50%  \nC.94.25%  \nD.98.84%  \nSATa  \n### Sat(score 1500+\n\n5  \nLast year,200 students enrolled in aninterior design program.This year,thenumber of students enrolled is 147%oflast year's number.How many studentsare enrolled in the interior designprogram this year?  \nA.247  \nB.294  \nC.347  \nD.394  \nSATa  \nSat(score 1500+M  \n6  \nA quadratic function models the height,in feet,of an object above the ground interms of the time,in seconds,after theobject is launched off an elevatedsurface.The model indicates the objecthas an initial height of 10 feet abovethe ground and reaches its maximumheight of 1,034 feet above the ground 8seconds after being launched.Basedon the model,what is the height,in feet,of the object above the ground 10seconds after being launched?  \nA.234  \nB.778  \nC.970  \nD.1,014  \n##### SATa\n\nSat(score 1500+  \n7  \nFunction fis defined by  \nf(x)=-a®+b,where a and b areconstants.In the xy-plane,the graph ofy=f(x)-12 has a y-intercept at.The product of a and b is.What is the value of a?  \nSATa  \n#### Sat(score 1500+M\n\n8  \nThe cost of renting a backhoe for up to10 days is$270 for the first day and$135 for each additional day.Which ofthe following equations gives the cost y,in dollars,of renting the backhoe for xdays,where x is a positive integer andx≤10?  \nA.y=270x-135  \nB.y=270x+135  \nC.y=135x+270  \nD.y=135x+135  \nSATa  \n#### Sat(score 1500+M\n\n9  \n,the value of x+6 isbetween which of the following pairs ofvalues?  \nIf  \nA.-7 and-3  \nB.-2 and 2  \nC.2 and 7  \nD.8and 13  \n##### SATa\n\n### Sat(score 1500+M\n\n# l0\n\nThe scatterplot shows the relationshipbetween the length of time y,in hours,acertain bird spent in flight and thenumber of days after January 11,x.  \ny  \n16  \n14  \nLength of time(hours)  \n12  \n10  \n8·  \n6  \n4  \n2  \n0  \n2  \n8  \n6  \n4  \nDays after January 11  \nWhat is the average rate of change,inhours per day,of the length of time thebird spent in flight on January 13 to thelength of time the bird spent in flight onJanuary 15?  \nSATa","cbCaiggrA2bppuXl","https://ap.wps.com/l/cbCaiggrA2bppuXl","pdf",1513550,"English","# Practice Questions\n## Geometry and Functions\n## Algebra and Modeling\n## Percent and Rate of Change","[{\"question\":\"How do you find the length DE from the similar triangles with right angles and tan(A)=√3?\",\"answer\":\"Use the similarity correspondence between triangles to relate corresponding sides. Then apply the tangent value with the right-angle setup to determine the needed ratio and compute DE from the given DF.\"},{\"question\":\"What information is required to write the equation of a circle in standard form?\",\"answer\":\"You need the center coordinates and the radius. The radius comes from the distance between the center and a point on the circle, and then the equation (x−h)^2+(y−k)^2=r^2 is formed.\"},{\"question\":\"How can the cost of renting the backhoe be modeled as an equation in x days?\",\"answer\":\"Account for the first day cost separately and add the per-additional-day cost for days beyond 1. This yields a linear expression in x with the correct slope and intercept among the choices.\"},{\"question\":\"How do you compute the average rate of change from the scatterplot between January 13 and January 15?\",\"answer\":\"Read the y-values (hours) at those two x-values (days after January 11) and compute (y2−y1)/(x2−x1). The result gives hours per day.\"}]","SAT MATH QUIZ(1) | PDF",25]