[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-467411-105":3,"doc-detail-467411-en":81,"detail-sidebar-cat-0-en-105":97},{"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","identify-linear-functions-table-determine-if-the-table-represents-a-linear-function","Identify Linear Functions (Table) - Determine if the table represents a linear function","","Worksheet-style answer key for identifying whether given x-y tables represent linear functions. Each item pairs an equation form (e.g., Y = X + 7, Y = X^2, Y = 6X + 6, and other variations) with corresponding table values, then provides a yes/no determination. Multiple problems focus on checking constant rate of change by analyzing slope behavior across the table entries, including cases where values curve or change inconsistently.",{"@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/identify-linear-functions-table-determine-if-the-table-represents-a-linear-function/467411/",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/identify-linear-functions-table-determine-if-the-table-represents-a-linear-function/467411.png","ImageObject",300,407,{"name":42,"@type":43},"Asher","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",7,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do I decide whether an x-y table represents a linear function?","Question",{"text":63,"@type":64},"Check whether the change in y for equal changes in x stays constant across the table. If the rate of change is constant, the table represents a linear function; otherwise it does not.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What does it mean if the answer is \"no\" for an item?",{"text":68,"@type":64},"\"No\" indicates the table values do not follow a constant rate of change as x changes, so the relationship is not linear.",{"name":70,"@type":61,"acceptedAnswer":71},"Do squared or other non-constant pattern equations always fail the linear-function test?",{"text":72,"@type":64},"Tables tied to non-linear equations such as Y = X^2 are expected to show non-constant changes in y, which leads to a \"no\" outcome in the linear-function classification.","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},467411,1792951482,{"code":4,"msg":82,"data":83},"success",{"doc_id":79,"user_id":84,"nickname":42,"user_avatar":85,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":86,"file_id":87,"file_url":88,"file_type":89,"file_size":90,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":91,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":92,"faqs":93,"seo_title":94,"seo_description":12,"update_tm":95,"read_time":96},687197207639,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Identify Linear Functions (Table)  \nName:  \nDetermine if the table shown represents a linear function (yes) or not (no). Answers  \n1) Y=X+7 2) Y=X2 3) Y=6X+6  \nX Y X Y X Y 1.  \n-3 4 -10 100 -5 6.000  \n-9 -2 -3 9 -7 4.000 2.  \n0 7 -6 36 1 12  \n8 15 1 1 4 1,302 3.  \n9 16 3 9 8 1,679,622  \n4.  \n5.  \n4) Y=X2-3 5) Y=-X 6) Y=-X+8  \nX Y X Y X Y 6.  \n-4 13 -2 2 -4 12  \n-8 61 -4 4 2 6 7.  \n5 22 0 0 3 5  \n6 33 4 -4 4 4 8.  \n9 78 5 -5 9 -1  \n9.  \n10.  \n7) Y=2+X⁄4 8) Y= X2 9) Y=9×X-(X×-1)  \nX Y 11.  \nX Y X Y  \n-1 -10  \n-10 -0.500 -6 6.000  \n-7 -70 12.  \n-3 1.250 -8 8.000  \n4 40  \n-5 0.750 -9 9.000  \n5 50  \n-6 0.500 0 0.000  \n6 60  \n4 3 9 9.000  \n10) Y=X⁄8×2 11) Y=-X-7 12) Y=X2+3  \nX Y X Y  \nX Y  \n-1 -6 -2 7  \n-1 -0.250  \n-3 -4 -3 12  \n-7 -1.750  \n-7 0 -5 28  \n4 1  \n-8 1 -8 67  \n6 1.500  \n7 -14 5 28  \n9 2.250  \n1-10 92 83 75 67 58 50 42 33 25 17  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com) 11-12 8 0  \nIdentify Linear Functions (Table)  \nName: Answer Key  \nDetermine if the table shown represents a linear function (yes) or not (no). Answers  \n1) Y=X+7 2) Y=X2 3) Y=6X+6  \nX Y X Y X Y 1. yes  \n-3 4 -10 100 -5 6.000  \n-9 -2 -3 9 -7 [4.000](4.000 2. no)[ 2.](4.000 2. no)[ no](4.000 2. no)  \n0 7 -6 36 1 12  \n8 15 1 1 4 1,[302](302 3. no)[ 3.](302 3. no)[ no](302 3. no)[ ](302 3. no)9 16 3 9 8 1,679,622  \n[4.](4. no)[ no](4. no)  \n5. yes  \n4) Y=X2-3 5) Y=-X 6) Y=-X+8  \nX Y X Y X Y 6. yes  \n-4 13 -2 2 -4 12  \n-8 61 -4 4 2 6 7. yes  \n5 22 0 0 3 5  \n6 33 4 -4 4 4 [8.](8. no)[ no](8. no)  \n9 78 5 -5 9 -1  \n9. yes  \n10. yes  \n7) Y=2+X⁄4 8) Y= X2 9) Y=9×X-(X×-1)  \nX Y 11. yes  \nX Y X Y  \n-1 -10  \n-10 -0.500 -6 6.000  \n-[7 -70](7 -70 12. no)[ 12.](7 -70 12. no)[ no](7 -70 12. no)  \n-3 1.250 -8 8.000  \n4 40  \n-5 0.750 -9 9.000  \n5 50  \n-6 0.500 0 0.000  \n6 60  \n4 3 9 9.000  \n10) Y=X⁄8×2 11) Y=-X-7 12) Y=X2+3  \nX Y X Y  \nX Y  \n-1 -6 -2 7  \n-1 -0.250  \n-3 -4 -3 12  \n-7 -1.750  \n-7 0 -5 28  \n4 1  \n-8 1 -8 67  \n6 1.500  \n7 -14 5 28  \n9 2.250  \nMath Seed: 717232448-744 1-10 92 83 75 67 58 50 42 33 25 17  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com) 11-12 8 0  \nIdentify Linear Functions (Table)  \nName:  \n\n| Determine if the table shown represents a linear function (yes) or not (no).\u003Cbr>1)\u003Cbr>4)\u003Cbr>\u003Cbr>2)\u003Cbr>5)\u003Cbr>\u003Cbr>3)\u003Cbr>6)\u003Cbr>| 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6. |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n| 1-6 | 83 | 67 |  | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)","cbCaibwD989tQYFM","https://ap.wps.com/l/cbCaibwD989tQYFM","pdf",81839,"English","# Determine if the table represents a linear function (yes/no)\n## Problem set with equations and answer decisions","[{\"question\":\"How do I decide whether an x-y table represents a linear function?\",\"answer\":\"Check whether the change in y for equal changes in x stays constant across the table. If the rate of change is constant, the table represents a linear function; otherwise it does not.\"},{\"question\":\"What does it mean if the answer is \\\"no\\\" for an item?\",\"answer\":\"\\\"No\\\" indicates the table values do not follow a constant rate of change as x changes, so the relationship is not linear.\"},{\"question\":\"Do squared or other non-constant pattern equations always fail the linear-function test?\",\"answer\":\"Tables tied to non-linear equations such as Y = X^2 are expected to show non-constant changes in y, which leads to a \\\"no\\\" outcome in the linear-function classification.\"}]","Identify Linear Functions (Table) - Determine if the table represents a linear function | PDF",1790772834,8,{"code":4,"msg":82,"data":98},[99,103,107,110,115,120,124,128,133,136,140],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":100,"show_sort_weight":101,"slug":102},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":104,"show_sort_weight":105,"slug":106},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":108,"slug":109},70,"exam",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},5,"Comic",60,"comic",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},6,"Technology",50,"technology",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":122,"slug":123},"Healthcare",40,"healthcare",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":126,"slug":127},"Research & Report",30,"research-report",{"id":129,"doc_module":4,"doc_module_name":25,"category_name":130,"show_sort_weight":131,"slug":132},9,"Religion & Spirituality",20,"religion-spirituality",{"id":131,"doc_module":4,"doc_module_name":25,"category_name":134,"show_sort_weight":131,"slug":135},"World Cup","world-cup",{"id":137,"doc_module":4,"doc_module_name":25,"category_name":138,"show_sort_weight":137,"slug":139},10,"Lifestyle","lifestyle",{"id":141,"doc_module":4,"doc_module_name":25,"category_name":142,"show_sort_weight":111,"slug":143},19,"General","general"]