[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-360077-105":59,"doc-detail-360077-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","writing-equations-from-word-problems-a-solve-the-equations","Writing Equations from Word Problems (A) - Solve the Equations","","Worksheet practice for writing and solving equations from real-world word problems. Students complete 11 items, ranging from single-variable equations such as “a number decreased by 8” and “twice a number,” to multi-step expressions including “three times a number, plus 4” and “a number multiplied by 5, minus 7.” Word contexts include geometry (rectangle perimeter and width) and finances (splitting a $52 dinner bill, pricing cheese by the pound, and a challenge purchase with remaining budget).",{"@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/writing-equations-from-word-problems-a-solve-the-equations/360077/",{"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/writing-equations-from-word-problems-a-solve-the-equations/360077.png","ImageObject",300,407,{"name":92,"@type":93},"Jordan Avery","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-24","2026-09-23",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},"What should you do for each problem on the worksheet?","Question",{"text":112,"@type":113},"Write an equation for the situation, then solve it and show your work.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of equations are included?",{"text":117,"@type":113},"The problems include single-variable linear equations such as addition, subtraction, multiplication, division, and multi-step forms like “three times a number plus 4.”",{"name":119,"@type":110,"acceptedAnswer":120},"How is the challenge problem different from the others?",{"text":121,"@type":113},"The challenge problem involves planning purchases with a total budget after one item is bought, then writing an equation to find how many books can be purchased.","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},360077,1790795872,{"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},1099523882367,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Name:    \nWriting Equations from Word Problems (A) Directions: Write an equation for each situation, then solve. Show your work.  \n1.) 5 more than a number is 17. Write and solve an equation.  \nEquation:    \nAnswer:    \n2.) A number decreased by 8 equals 14. Write and solve an equation.  \nEquation:    \nAnswer:    \n3.) Twice a number equals 34. Write and solve an equation.  \nEquation:    \nAnswer:    \n4.) A number divided by 6 is 9. Write and solve an equation.  \nEquation:    \nAnswer:    \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)  \n5.) Three times a number, plus 4, is 25. Write and solve an equation.  \nEquation:    \nAnswer:    \n6.) A number multiplied by 5, minus 7, equals 33. Write and solve an equation.  \nEquation:    \nAnswer:    \n7.) The sum of a number and twice the number is 27. Write and solve an equation.  \nEquation:    \nAnswer:    \n8.) A rectangle's perimeter is 60 ft. It is 8 ft wide. Write and solve for the length.  \nEquation:    \nAnswer:    \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)  \n9.) Four friends split a $52 dinner bill equally. Write and solve an equation for each share.  \nEquation:    \nAnswer:  \n_________________________  \n10.) A store charges $6 per pound of cheese plus a $4 packaging fee. The total is $28. Write and solve an equation.  \nEquation:    \nAnswer:    \n11.) Challenge Problem: You have $120 to spend. After buying a $45 hoodie, you want to spend the rest on $15 books. Write and solve an equation to find how many books you can buy.  \nEquation:    \nAnswer:  \n_________________________  \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.) n + 5 = 17 → n = 12  \n2.) n − 8 = 14 → n = 22  \n3.) 2n = 34 → n = 17  \n4.) n/6 = 9 → n = 54  \n5.) 3n + 4 = 25 → n = 7  \n6.) 5n − 7 = 33 → n = 8  \n7.) n + 2n = 27 → 3n = 27 → n = 9  \n8.) 2l + 2(8) = 60 → 2l + 16 = 60 → l = 22 ft  \n9.) 4x = 52 → x = $13 each  \n10.) 6x + 4 = 28 → x = 4 pounds  \n11.) Challenge: 45 + 15b = 120 → 15b = 75 → b = 5 books  \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)","cbCaikI5f7SQxvLl","https://ap.wps.com/l/cbCaikI5f7SQxvLl","pdf",738159,"English","# Directions\n# Word Problems (1-11)\n## Mixed Equation Types\n## Geometry and Financial Scenarios\n# Answer Key","[{\"question\":\"What should you do for each problem on the worksheet?\",\"answer\":\"Write an equation for the situation, then solve it and show your work.\"},{\"question\":\"What types of equations are included?\",\"answer\":\"The problems include single-variable linear equations such as addition, subtraction, multiplication, division, and multi-step forms like “three times a number plus 4.”\"},{\"question\":\"How is the challenge problem different from the others?\",\"answer\":\"The challenge problem involves planning purchases with a total budget after one item is bought, then writing an equation to find how many books can be purchased.\"}]","Writing Equations from Word Problems (A) - Solve the Equations | PDF",1790138694]