[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522622-105":59,"doc-detail-522622-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","direct-and-inverse-variation-solve-direct-and-inverse-variation-problems","Direct and Inverse Variation - Solve Direct and Inverse Variation Problems","","Determine whether given equations represent direct or inverse variation, and identify the constant of variation for selected relationships. The worksheet includes multiple algebra problems using forms like y = kx, y = k/x, and equivalent linear or rearranged equations such as xy = 15 or -5x + y = 0. It then applies the variation rules to compute new y-values when x changes, including cases with x^2 in inverse variation. ",{"@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/direct-and-inverse-variation-solve-direct-and-inverse-variation-problems/522622/",{"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/direct-and-inverse-variation-solve-direct-and-inverse-variation-problems/522622.png","ImageObject",300,407,{"name":92,"@type":93},"Genevieve","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you decide whether an equation shows direct or inverse variation?","Question",{"text":112,"@type":113},"Use the equation form: direct variation matches y = kx (or equivalent), while inverse variation matches y = k/x (or equivalent). Rearranged forms in the worksheet are used to classify each case.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the constant of variation in y = kx or inverse variation?",{"text":117,"@type":113},"For direct variation, the constant k is the ratio between y and x. For inverse variation, k is the product xy (or equivalent) that stays constant.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you solve for y when x changes in direct and inverse variation problems?",{"text":121,"@type":113},"For direct variation, scale y proportionally with x using the same k. For inverse variation, keep the constant product (or the appropriate constant relation) the same while substituting the new x to find y.","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},522622,1791512632,{"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":52,"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},1374391974585,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Algebra 2 Name   \nDirect and Inverse Variation Date  Period   \nDetermine whether the given equation represents a direct or inverse variation.  \n1) xy = 15 2) y = 9x  \n 13  4) y = 13x  \n3) y = 12x  \n5) -5x + y = 0 6) y = 4x  \nFind the constant of variation.  \n7) y = 3x 8) xy = 7  \n9) yx = 5 10) y = ~~ ~~91x  \n3   15  \n11) y = x 12) y =  \n5 x  \nSolve each problem involving direct or inverse variation.  \n13) If y varies directly as x, and y = 6 when 14) If y varies inversely as x, and y = 8 when x = 15, find y when x = 2. x = 5, find y when x = 4.  \n15) If y varies directly as x, and y = 5 when 16) If y varies directly as x 2 , and y = 10 when x = 4, find y when x = 8. x = 2, find y when x = 3.  \n17) If y varies inversely as x, and y = 9 when 18) If y varies inversely as x, and y = 4 when x = 10, find y when x = 5. x = 12, find y when x = 2.  \n19) If y varies inversely as x, and y = 3 when  11 x = 21, find y when x = 9. 20) If y varies inversely as x 2 , and y = 4  \nwhen x = 4, find y when x = 2.  \n21) If y varies directly as x, and y = 10 when 22) If y varies directly as x, and y = 4 when  \nx = 20, find y when x = 3. x = 6, find y when x = 5.  \nKuta Software-Infinite Algebra 2 Name___________________________________  \nDirect and Inverse Variation Date________________ Period____  \nDetermine whether the given equation represents a direct or inverse variation.  \n1) xy = 15  9  \n2) y =  \nInverse x  \nInverse  \n 13  4) y = 13x  \n3) y =  \n12x Direct  \nInverse  \n5) -5x + y = 0 6) y = 4x  \nDirect Direct  \nFind the constant of variation.  \n7) y = 3x 8) xy = 7  \n3 7  \n9) yx = 5 5  \n11) y = ~~ ~~35x 3  \n5  \n10) y = ~~ ~~91x  1 9  \n12) y = ~~ ~~15x 15  \nSolve each problem involving direct or inverse variation.  \n13) If y varies directly as x, and y = 6 when x = 15, find y when x = 2.  \n4 5  \n15) If y varies directly as x, and y = 5 when x = 4, find y when x = 8.  \n10  \n17) If y varies inversely as x, and y = 9 when x = 10, find y when x = 5.  \n18  \n19) If y varies inversely as x, and y = 3 when x = 21, find y when x = 9.  \n7  \n21) If y varies directly as x, and y = 10 when x = 20, find y when x = 3.  \n3 2  \n14) If y varies inversely as x, and y = 8 when x = 5, find y when x = 4.  \n10  \n16) If y varies directly as x 2 , and y = 10 when x = 2, find y when x = 3.  \n45  \n2  \n18) If y varies inversely as x, and y = 4 when x = 12, find y when x = 2.  \n24  \n20) If y varies inversely as x 2 , and y = ~~ ~~114 when x = 4, find y when x = 2.  \n11  \n22) If y varies directly as x, and y = 4 when x = 6, find y when x = 5.  \n 10  \n3  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)  \n- -","cbCaicdkPmXN1joZ","https://ap.wps.com/l/cbCaicdkPmXN1joZ","pdf",50132,"English","# Determine Direct vs Inverse Variation\n## Find the Constant of Variation\n# Solve Variation Word Problems","[{\"question\":\"How do you decide whether an equation shows direct or inverse variation?\",\"answer\":\"Use the equation form: direct variation matches y = kx (or equivalent), while inverse variation matches y = k/x (or equivalent). Rearranged forms in the worksheet are used to classify each case.\"},{\"question\":\"What is the constant of variation in y = kx or inverse variation?\",\"answer\":\"For direct variation, the constant k is the ratio between y and x. For inverse variation, k is the product xy (or equivalent) that stays constant.\"},{\"question\":\"How do you solve for y when x changes in direct and inverse variation problems?\",\"answer\":\"For direct variation, scale y proportionally with x using the same k. For inverse variation, keep the constant product (or the appropriate constant relation) the same while substituting the new x to find y.\"}]","Direct and Inverse Variation - Solve Direct and Inverse Variation Problems | PDF",1791425987]