[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-267718-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-267718-en":131},{"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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","sat-math-function-examples-practice-questions-with-answers","SAT Math Function Examples - Practice questions with answers","","Practice set of SAT Math questions focused on functions and function evaluation. Includes problems that substitute values into linear functions like f(x)=3x−7, solve for unknown variables using given function outputs, and interpret function graphs. Also covers working with tabulated function values, defining a new function such as g(x)=x^2, and using a defined expression like △x=1−3x to derive related quantities. Provides an answer section with computed results.",{"@graph":14,"@context":73},[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-function-examples-practice-questions-with-answers/267718/",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-function-examples-practice-questions-with-answers/267718.png","ImageObject",300,407,{"name":42,"@type":43},"Grenda","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-03","2026-09-14",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",14,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you evaluate f(x) when a function rule is given?","Question",{"text":63,"@type":64},"Substitute the given input into the function expression. For example, if f(x)=3x−7, then compute 3 times the input minus 7 to get f(2), f(3), and related values.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do the problems use function tables to find f(x) or unknown variables?",{"text":68,"@type":64},"The table lists x values and corresponding f(x) values. Read off f(3) directly, or use the table to match f(a)=7 to determine the input a that produces that output.",{"name":70,"@type":61,"acceptedAnswer":71},"What does the “/” symbol indicate in these SAT function questions?",{"text":72,"@type":64},"The “/” is used to mark questions that may be extra tricky in the problem set, signaling that additional care may be needed when solving those items.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},267718,1789424408,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":80,"read_time":96},7971474921005,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","SAT Math Function Examples  \n1. If f (x) = 3x − 7, then:  \na) What is f (2) ?  \nb) What is 3f (3) ?  \nc) What is f (chickpea) ?  \nd) If f (a) = 14, then what is a ?  \ne) If f (2b) = 23, then what is b ?  \nf) If f (c) + f (2c) = 4, then c =?  \ng) If f (3d − 7) = 8, then d =? /  \n\n| x | f (x) |\n| --- | --- |\n| 1 | 1 |\n| 2 | 3 |\n| 3 | 5 |\n| 4 | 7 |\n| 5 | 9 |\n| 6 | 11 |\n\n2. For the function in the table above,  \na) What is f (3) ?  \nb) If f (a) = 7, then what is a ?  \nc) If f (2) = b, then what is f (2b) ? /  \n3. If g(x) = x2 , then:  \na) What is g(−2) ?  \nb) If g(w) = 25, then what is w ? /  \nc) If g(a) = 12, then what is g(2a) ? /  \n4. De􀀌ne △x = 1 − 3x. Then:  \na) What is △2?  \nb) If △a = 4, then a =?  \n△3  \nc) What is ?  \n△1  \ny  \n~~ ~~ f (x)  \n~~   ~~ 2   \n~~   ~~ 1   \nx −2 −1 ~~ ~~ 1 2  \n5. For the function f graphed above,  \na) What is f (1 .5) ?  \nb) If c \u003C 0 and f (c) = 1, then c =? /  \n3  \nc) For how many values of x is f (x) = ?  \n2  \nA “/” means that this question may be extra tricky! [erikthered.com/tutor](erikthered.com/tutor)  \nSAT Math Function Examples Answers  \n1. If f (x) = 3x − 7, then:  \na) What is f (2) ? −1  \nb) What is 3f (3) ? 6  \nc) What is f (chickpea) ? 3 × chickpea − 7  \nd) If f (a) = 14, then what is a ? 7  \ne) If f (2b) = 23, then what is b ? 5  \nf) If f (c) + f (2c) = 4, then c =? 2  \ng) If f (3d − 7) = 8, then d =? / 4  \n\n| x | f (x) |\n| --- | --- |\n| 1 | 1 |\n| 2 | 3 |\n| 3 | 5 |\n| 4 | 7 |\n| 5 | 9 |\n| 6 | 11 |\n\n2. For the function in the table above,  \na) What is f (3) ? 5  \nb) If f (a) = 7, then what is a ? 4  \nc) If f (2) = b, then what is f (2b) ? / 11  \n3. If g(x) = x2 , then:  \na) What is g(−2) ? 4  \nb) If g(w) = 25, then what is w ? / 5, −5  \nc) If g(a) = 12, then what is g(2a) ? / 48  \n4. De􀀌ne △x = 1 − 3x. Then:  \na) What is △2? −5  \nb) If △a = 4, then a =? −1  \n△3  \nc) What is ? 4 △1  \ny  \n~~ ~~ f (x)  \n~~   ~~ 2   \n~~   ~~ 1   \nx −2 −1 ~~ ~~ 1 2  \n5. For the function f graphed above,  \na) What is f (1 .5) ? 2  \n1  \nb) If c \u003C 0 and f (c) = 1, then c =? / −  \n2  \n3  \nc) For how many values of x is f(x) = ? Two  \n2  \nA “/” means that this question may be extra tricky! [erikthered.com/tutor](erikthered.com/tutor)","cbCaigaSlH6LSZ7Y","https://ap.wps.com/l/cbCaigaSlH6LSZ7Y","pdf",34065,"English","# SAT Math Function Examples\n## Problem Set\n## Answer Key","[{\"question\":\"How do you evaluate f(x) when a function rule is given?\",\"answer\":\"Substitute the given input into the function expression. For example, if f(x)=3x−7, then compute 3 times the input minus 7 to get f(2), f(3), and related values.\"},{\"question\":\"How do the problems use function tables to find f(x) or unknown variables?\",\"answer\":\"The table lists x values and corresponding f(x) values. Read off f(3) directly, or use the table to match f(a)=7 to determine the input a that produces that output.\"},{\"question\":\"What does the “/” symbol indicate in these SAT function questions?\",\"answer\":\"The “/” is used to mark questions that may be extra tricky in the problem set, signaling that additional care may be needed when solving those items.\"}]","SAT Math Function Examples - Practice questions with answers | PDF"]