[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522542-105":59,"doc-detail-522542-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","solving-equations-by-completing-the-square-worksheet-practice","Solving Equations by Completing the Square - Worksheet Practice","","Worksheet for Infinite Algebra 1 focused on solving quadratic equations using the completing the square method. It presents 24 problems labeled 1–24, covering equations with different variables and constant terms, including cases where the right side is nonzero. An answer key follows, listing the solution pairs for each equation, providing step-by-step verification through quadratic form transformation.",{"@graph":69,"@context":123},[70,84,106],{"@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/solving-equations-by-completing-the-square-worksheet-practice/522542/",{"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/solving-equations-by-completing-the-square-worksheet-practice/522542.png","ImageObject",300,407,{"name":92,"@type":93},"Ezra","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What method is used to solve the equations in this worksheet?","Question",{"text":113,"@type":114},"The worksheet instructs students to solve each quadratic equation by completing the square.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Are the equations allowed to have nonzero values on the right side?",{"text":118,"@type":114},"Yes. Several problems include equations where the right-hand side is not zero, and students must still complete the square to find solutions.",{"name":120,"@type":111,"acceptedAnswer":121},"How are the solutions provided for checking work?",{"text":122,"@type":114},"After the problems, the worksheet provides an answer key that lists the solution pairs for each numbered equation.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},522542,1791493373,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},1099514068035,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Algebra 1 Name___________________________________  \nSolving Equations by Completing the Square Date________________ Period____  \nSolve each equation by completing the square.  \n1) a 2 + 2a − 3 = 0 2) a 2 − 2a − 8 = 0  \n3) p 2 + 16 p − 22 = 0 4) k2 + 8k + 12 = 0  \n5) r2 + 2r − 33 = 0 6) a 2 − 2a − 48 = 0  \n7) m 2 − 12m + 26 = 0 8) x 2 + 12x + 20 = 0  \n9) k2 − 8k − 48 = 0 10) p 2 + 2 p − 63 = 0  \n11) m 2 + 2m − 48 = −6 12) p 2 − 8 p + 21 = 6  \n13) m 2 + 10m + 14 = −7 14) v 2 − 2v = 3  \n15) 5v2 − 21 = 10v 16) 4v2 + 16v = 65  \n17) 7b2 − 14b − 56 = 0 18) 2n2 + 12n + 10 = 0  \n19) n 2 + 13n + 22 = 7 20) 5n2 + 19n − 68 = −2  \n21) r2 − 9r − 38 = −9 22) 3x2 + 20x + 36 = 4  \n23) x 2 + 7x − 45 = 7 24) n 2 + 19n + 66 = 6  \nKuta Software-Infinite Algebra 1 Name___________________________________  \nSolving Equations by Completing the Square Date________________ Period____  \nSolve each equation by completing the square.  \n1) a 2 + 2a − 3 = 0 2) a 2 − 2a − 8 = 0  \n{1, −3} {4, −2}  \n3) p 2 + 16 p − 22 = 0 4) k2 + 8k + 12 = 0  \n{1.273, −17.273} {−2, −6}  \n5) r2 + 2r − 33 = 0 6) a 2 − 2a − 48 = 0  \n{4.83, −6.83} {8, −6}  \n7) m 2 − 12m + 26 = 0 8) x 2 + 12x + 20 = 0  \n{9.162, 2.837} {−2, −10}  \n9) k2 − 8k − 48 = 0 10) p 2 + 2 p − 63 = 0  \n{12, −4} {7, −9}  \n11) m 2 + 2m − 48 = −6  \n{5.557, −7.557}  \n12) p 2 − 8 p + 21 = 6  \n{5, 3}  \n13) m 2 + 10m + 14 = −7 14) v 2 − 2v = 3  \n{−3, −7} {3, −1}  \n15) 5v2 − 21 = 10v 16) 4v2 + 16v = 65  \n{3.28, −1.28} {2.5, −6.5}  \n17) 7b2 − 14b − 56 = 0 18) 2n2 + 12n + 10 = 0  \n{4, −2} {−1, −5}  \n19) n 2 + 13n + 22 = 7 20) 5n2 + 19n − 68 = −2  \n{−1.279, −11.72} {2.2, −6}  \n21) r2 − 9r − 38 = −9 22) 3x2 + 20x + 36 = 4  \n{11.517, −2.517} {−2.666, −4}  \n23) x 2 + 7x − 45 = 7 24) n 2 + 19n + 66 = 6  \n{4.515, −11.515} {−4, −15}  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaip30JpGgH5Qc","https://ap.wps.com/l/cbCaip30JpGgH5Qc","pdf",32265,"English","# Solving Equations by Completing the Square\n## Practice Problems (1-24)\n## Answer Key","[{\"question\":\"What method is used to solve the equations in this worksheet?\",\"answer\":\"The worksheet instructs students to solve each quadratic equation by completing the square.\"},{\"question\":\"Are the equations allowed to have nonzero values on the right side?\",\"answer\":\"Yes. Several problems include equations where the right-hand side is not zero, and students must still complete the square to find solutions.\"},{\"question\":\"How are the solutions provided for checking work?\",\"answer\":\"After the problems, the worksheet provides an answer key that lists the solution pairs for each numbered equation.\"}]","Solving Equations by Completing the Square - Worksheet Practice | PDF",1791425897]