[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-363226-105":59,"doc-detail-363226-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","writing-equations-from-word-problems-b-write-and-solve-equations","Writing Equations from Word Problems (B) - Write and Solve Equations","","Practice worksheet for writing and solving equations from word problems. Includes 11 scenarios: product, sum and increase, fraction and unknown number, subtraction, linear expressions, division with an added constant, a geometry perimeter setup for equal sides, and two cost or pricing problems using months, tickets, and item totals. An answer key provides each equation and solved variable value, including an approximation for a fractional price situation.",{"@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/writing-equations-from-word-problems-b-write-and-solve-equations/363226/",{"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-b-write-and-solve-equations/363226.png","ImageObject",300,407,{"name":92,"@type":93},"Well Done","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-23",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 do you do for each word problem in this worksheet?","Question",{"text":113,"@type":114},"Write an equation for the situation, then solve it. Show your work.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How are the variables found in the answer key?",{"text":118,"@type":114},"Each problem is converted into an equation and solved step by step for the unknown variable (such as n, s, m, p, or a).",{"name":120,"@type":111,"acceptedAnswer":121},"Is there a challenge problem on the worksheet?",{"text":122,"@type":114},"Yes. Problem 11 is a challenge problem about adult and student tickets, where the number of student tickets is three times the number of adult tickets and total revenue is given.","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},363226,1790315713,{"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},5909892210082,"https://ap-avatar.wpscdn.com/avatar/56001069da27c9f41e8?x-image-process=image/resize,m_fixed,w_180,h_180&k=1789614185077863061","Name:    \nWriting Equations from Word Problems (B) Directions: Write an equation for each situation, then solve. Show your work.  \n1.) The product of a number and 7 is 63. Write and solve an equation.  \nEquation:    \nAnswer:    \n2.) A number increased by 14 is 31. Write and solve an equation.  \nEquation:    \nAnswer:    \n3.) One-fourth of a number is 12. Write and solve an equation.  \nEquation:    \nAnswer:    \n4.) 9 less than a number equals 23. 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.) Four times a number, minus 5, is 19. Write and solve an equation.  \nEquation:    \nAnswer:    \n6.) Twice a number plus 11 equals 35. Write and solve an equation. Equation:    \nAnswer:    \n7.) A number divided by 3, plus 7, equals 15. Write and solve an equation.  \nEquation:    \nAnswer:    \n8.) A triangle's perimeter is 45 cm. Two sides are equal and the third is 9 cm. Write and solve for the equal side.  \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.) A gym membership costs $25 per month plus a $40 sign-up fee. The total cost is $190. Write and solve for the number of months.  \nEquation:    \nAnswer:    \n10.) A store sells apples for $0.75 each and pears for $1.25 each. Ella buys 4 apples and some pears and pays $6.50. Write and solve an equation.  \nEquation:    \nAnswer:    \n11.) Challenge Problem: ★ A card show sells adult tickets for $8 and student tickets for $5. They sold 3 times as many student tickets as adult tickets. Total revenue was $322. 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)  \nANSWER KEY  \nAnswers:  \n1.) 7n = 63 → n = 9  \n2.) n + 14 = 31 → n = 17  \n3.) n/4 = 12 → n = 48  \n4.) n − 9 = 23 → n = 32  \n5.) 4n − 5 = 19 → n = 6  \n6.) 2n + 11 = 35 → n = 12  \n7.) n/3 + 7 = 15 → n = 24  \n8.) 2s + 9 = 45 → 2s = 36 → s = 18 cm  \n9.) 25m + 40 = 190 → 25m = 150 → m = 6 months  \n10.) 0.75(4) + 1.25p = 6.50 → 3 + 1.25p = 6.50 → 1.25p = 3.50 → p = 2.8 ≈ 2 pears (and $0.50 change, or context: p=2.8)  \n11.) Challenge: 8a + 5(3a) = 322 → 8a + 15a = 322 → 23a = 322 → a = 14 adult tickets, 42 student tickets  \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)","cbCaicrS4MRGckJp","https://ap.wps.com/l/cbCaicrS4MRGckJp","pdf",562770,"English","# Problem Set\n## Directions\n## Answer Key","[{\"question\":\"What do you do for each word problem in this worksheet?\",\"answer\":\"Write an equation for the situation, then solve it. Show your work.\"},{\"question\":\"How are the variables found in the answer key?\",\"answer\":\"Each problem is converted into an equation and solved step by step for the unknown variable (such as n, s, m, p, or a).\"},{\"question\":\"Is there a challenge problem on the worksheet?\",\"answer\":\"Yes. Problem 11 is a challenge problem about adult and student tickets, where the number of student tickets is three times the number of adult tickets and total revenue is given.\"}]","Writing Equations from Word Problems (B) - Write and Solve Equations | PDF",1790150367]