[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522749-105":59,"doc-detail-522749-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","rational-expressions-state-the-excluded-values-and-simplify","Rational Expressions - State the excluded values and simplify","","Rational Expressions worksheets from Infinite Algebra 2 practice finding excluded values and simplifying rational expressions. Students complete problems by identifying values that make denominators equal to zero, then simplifying each expression while listing all excluded values. The set includes variables such as x, v, n, a, b, and p, with factors and polynomial expressions to be simplified across multiple problem formats, including multiplication, division, and expanded forms.",{"@graph":69,"@context":122},[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/rational-expressions-state-the-excluded-values-and-simplify/522749/",{"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/rational-expressions-state-the-excluded-values-and-simplify/522749.png","ImageObject",300,407,{"name":92,"@type":93},"Kyle","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does “excluded values” mean in these rational expressions problems?","Question",{"text":112,"@type":113},"Excluded values are the variable values that make any denominator equal to zero. Those values must be omitted from the final simplified result.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the required process for each question?",{"text":117,"@type":113},"Each item asks you to identify the excluded values first, then simplify the rational expression and report the excluded values.",{"name":119,"@type":110,"acceptedAnswer":120},"Which variables appear across the worksheet?",{"text":121,"@type":113},"The problems use multiple variables, including x, v, n, a, b, and p, each with its own excluded values depending on the denominators.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},522749,1791489915,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":52,"preview_page_count":4},3985741905716,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Kuta Software-Infinite Algebra 2 Name   \nRational Expressions Date  Period   \nState the excluded values for each.  \n1) 60x312x~~ ~~ 2) 7100v02v  \n m + 7   n 2 + 6n + 5  \n3) m 2 + 4m − 21 4) n + 1  \n35x − 35   −n2 + 16n − 63  \n5) 6) 2  \n25x − 40 n − 2n − 35  \nSimplify each and state the excluded values.  \n p + 4   9   \n7) p 2 + 6 p + 8 8) 15a − 15  \n2a2 + 10a   p 2 − 3 p − 10  \n9) 2 10) 2  \n3a + 15a p + p − 2  \nx 2 + x − 6 a 2 + 5a + 4  \n11) ~~ ~~ 12) ~~ ~~  \nx 2 + 8x + 15 a 2 + 9a + 20  \nx 2 − 2x − 15   10x − 6  \n13) x 2 − 6x + 5 14) 10x − 6  \n(v − 7)(v + 8) 1 n + 3 (n − 1)(n + 3)  \n15) ~~ ~~ ÷ ~~ ~~ 16) ~~ ~~ ÷ ~~ ~~  \n(v + 8)(v − 10) v − 10 n + 2 (n − 1)2  \nx + 3   3(x − 6)   x − 8   4x(x + 10)   \n17) ⋅ 18) ⋅  \n4 3(x + 3) (x + 6)(x − 8) x + 10  \n2b2 − 12b   b − 6   1   6 − n   \n19) ÷ 20) ÷  \nb + 5 b + 5 n + 9 3n − 18  \n28 − 7b   1   2   v 2 − 12v + 27   \n21) ⋅ 22) 2 ⋅  \nb − 4 b + 10 v − 12v + 27 3  \n1 9 p − 36 8 − 7x − x 2 x + 5  \n23) ~~ ~~ ÷ ~~ ~~ 24) ~~ ~~ ⋅  \n5 p2 5 p3 − 35 p2 x + 8 9x − 9  \nx 2 − 16   x2 + x − 90   10x2 − 20x   16x3 + 80x2   \n25) ⋅ 26) ⋅  \n9 − x x2 + 14x + 40 40x3 − 80x2 6x + 30  \nKuta Software-Infinite Algebra 2 Rational Expressions  \nState the excluded values for each.  \n1) 60x312x~~ ~~  \n{0}  \n m + 7   \n3) m 2 + 4m − 21  \n{−7, 3}  \n35x − 35  \n5)  \n25x − 40  \n{~~ ~~85~~ ~~ }  \n2)  \n4)  \n6)  \nName  Date  Period   \n70v2  \n100v  \n{0}  \nn 2 + 6n + 5 n + 1  \n{−1}  \n−n2 + 16n − 63  \nn 2 − 2n − 35 {−5, 7}  \nSimplify each and state the excluded values.  \n p + 4   \n7) p 2 + 6 p + 8  \np~~ ~~~~ ~~2 ; {−2, −4}  \n2a2 + 10a  \n9) 2  \n3a + 15a  \n2  \n; {0, −5}  \n3  \n x 2 + x − 6   \n11) x 2 + 8x + 15  \nxx~~ ~~~~ ~~25 ; {−3, −5}  \n8) 15a~~ ~~15  \n 3 ; {1}  \n5(a − 1)  \np 2 − 3 p − 10 10) p 2 + p − 2  \npp~~ ~~−~~ ~~51 ; {−2, 1}  \n a 2 + 5a + 4  12) a 2 + 9a + 20  \naa~~ ~~~~ ~~15 ; {−4, −5}  \nx 2 − 2x − 15   \n13) x 2 − 6x + 5  \nxx~~ ~~~~ ~~31 ; {1, 5}  \n(v − 7)(v + 8) 1  \n15) ~~ ~~ ÷ ~~ ~~  \n(v + 8)(v − 10) v − 10  \nv − 7; {−8, 10}  \nx + 3   3(x − 6)  \n17) ⋅  \n4 3(x + 3)  \nx − 6  \n; {−3}  \n4  \n2b2 − 12b b − 6  \n19) ~~ ~~ ÷ ~~  ~~b + 5 b + 5  \n2b; {−5, 6}  \n28 − 7b 1 21) ~~ ~~ ⋅ ~~ ~~  \nb − 4 b + 10  \n 7   \n− ; {4, −10} b + 10  \n 1   9 p − 36   \n23) ÷  \n5 p2 5 p3 − 35 p2  \n p − 7   \n; {0, 7, 4} 9( p − 4)  \nx 2 − 16   x2 + x − 90  25) ⋅ 2  \n9 − x x + 14x + 40  \n−(x − 4); {9, −4, −10}  \n14)  \n16)  \n18)  \n20)  \n22)  \n24)  \n26)  \n10x − 6  \n10x − 6  \n1 ; {~~ ~~35~~ ~~ }  \nn + 3 (n − 1)(n + 3) ~~ ~~ ÷ ~~  ~~n + 2 (n − 1)2  \nn − 1  \n; {−2, 1, −3} n + 2  \n(x~~ ~~+~~ ~~x6(x8−~~ ~~8)~~ ~~ ⋅ 4xx(x++1100)~~ ~~  \n 4x   \n; {−6, 8, −10} x + 6  \n 1   6 − n   \n÷  \nn + 9 3n − 18  \n 3   \n− ; {−9, 6} n + 9  \n2 v 2 − 12v + 27  \nv 2 − 12v + 27 3  \n2  \n; {3, 9}  \n3  \n8 − 7x − x 2 x + 5  \nx + 8 9x − 9 − ~~ ~~(x~~ ~~+9~~ ~~5)~~ ~~ ; {−8, 1}  \n10x2 − 20x  \n16x3 + 80x2  \n40x3 − 80x2  \n2x  \n; {0, 2, −5} 3  \n6x + 30  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiotwiM9cm54J","https://ap.wps.com/l/cbCaiotwiM9cm54J","pdf",38009,"English","# State the excluded values\n## Simplify and list excluded values","[{\"question\":\"What does “excluded values” mean in these rational expressions problems?\",\"answer\":\"Excluded values are the variable values that make any denominator equal to zero. Those values must be omitted from the final simplified result.\"},{\"question\":\"What is the required process for each question?\",\"answer\":\"Each item asks you to identify the excluded values first, then simplify the rational expression and report the excluded values.\"},{\"question\":\"Which variables appear across the worksheet?\",\"answer\":\"The problems use multiple variables, including x, v, n, a, b, and p, each with its own excluded values depending on the denominators.\"}]","Rational Expressions - State the excluded values and simplify | PDF",1791426123]