[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-359642-105":59,"doc-detail-359642-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","one-step-equations-mixed-practice-worksheet","One-Step Equations - Mixed - Practice Worksheet","","This educational worksheet provides a structured series of exercises focused on solving one-step algebraic equations. Designed for K-12 students, the document covers addition, subtraction, multiplication, and division operations, requiring learners to utilize inverse operations to isolate variables. It includes sixteen standard practice problems followed by a practical challenge involving depth calculations. A comprehensive answer key is included at the end to facilitate self-assessment and pedagogical review for instructors.",{"@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/one-step-equations-mixed-practice-worksheet/359642/",{"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/one-step-equations-mixed-practice-worksheet/359642.png","ImageObject",300,407,{"name":92,"@type":93},"WPS_1786070896","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-06","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the primary method for solving one-step equations?","Question",{"text":113,"@type":114},"The primary method is to use inverse operations, such as adding or subtracting to undo addition or subtraction, and multiplying or dividing to undo multiplication or division.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How should a student verify their solution to an equation?",{"text":118,"@type":114},"Students can check their answers by substituting the calculated value back into the original equation to ensure both sides remain balanced.",{"name":120,"@type":111,"acceptedAnswer":121},"What real-world scenario is presented in the challenge problem?",{"text":122,"@type":114},"The challenge problem asks students to calculate the distance a submarine ascended from an initial depth of -80 feet to a final depth of -35 feet.","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},359642,1790666283,{"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":14,"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":24,"preview_page_count":4},549768072016,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name:     \nOne-Step Equations—Mixed (A)  \nRemember: Use inverse operations to solve. Add/subtract first if needed, then multiply/divide. Check your answer by substituting back into the original equation.  \nDirections: Solve each equation. Show your work and check your answer.  \n1.) x + 7 = 15 x =   2.) 3x = 24 x =    \n3.) x-4 = 11 x =   4.) x ÷ 5 = 6 x =    \n5.) x + 9 = 4 x =   6.) 4x = -32 x =    \n7.) n-6 = -14 x =   8.) x ÷ 3 = -7 x =    \n9.) x + 13 = 7 x =   10.) 5x = 45 x =    \n11.) y-8 = -3 x =   12.) x ÷ 6 = -4 x =    \n13.) -2x = 14 x =   14.) x + 15 = 6 x =    \n15.) m-12 = -5 x =   16.) x ÷ 4 = -8 x =    \n17.) Challenge Problem: A submarine is at a depth of −80 feet. After ascending x feet, it is at −35 feet. Write and solve an equation to find how far it ascended.  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \nAnswers:  \n1.) x + 7 = 15 → x = 8  \n2.) 3x = 24 → x = 8  \n3.) x-4 = 11 → x = 15  \n4.) x ÷ 5 = 6 → x = 30  \n5.) x + 9 = 4 → x = -5  \n6.) 4x = -32 → x = -8  \n7.) n-6 = -14 → x = -8  \n8.) x ÷ 3 = -7 → x = -21  \n9.) x + 13 = 7 → x = -6  \n10.) 5x = 45 → x = 9  \n11.) y-8 = -3 → x = 5  \n12.) x ÷ 6 = -4 → x = -24  \n13.) -2x = 14 → x = -7  \n14.) x + 15 = 6 → x = -9  \n15.) m-12 = -5 → x = 7  \n16.) x ÷ 4 = -8 → x = -32  \n17.) Challenge: −80 + x = −35 → x = 45 feet  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaiqkfPOVmoEUF","https://ap.wps.com/l/cbCaiqkfPOVmoEUF","pdf",670635,"English","# Practice Exercises\n## Challenge Problem\n# Answer Key","[{\"question\":\"What is the primary method for solving one-step equations?\",\"answer\":\"The primary method is to use inverse operations, such as adding or subtracting to undo addition or subtraction, and multiplying or dividing to undo multiplication or division.\"},{\"question\":\"How should a student verify their solution to an equation?\",\"answer\":\"Students can check their answers by substituting the calculated value back into the original equation to ensure both sides remain balanced.\"},{\"question\":\"What real-world scenario is presented in the challenge problem?\",\"answer\":\"The challenge problem asks students to calculate the distance a submarine ascended from an initial depth of -80 feet to a final depth of -35 feet.\"}]","One-Step Equations - Mixed - Practice Worksheet | PDF",1790137362]