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The problems cover equal quantities and fixed fees across contexts including trophies, streaming service plans, books, canvases, board games, stools, phone plans, jackets, and race entries, followed by the corresponding final answers.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/solving-two-step-equations-answer-key/485344/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/solving-two-step-equations-answer-key/485344.png","ImageObject",300,407,{"name":42,"@type":43},"dhado","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-29","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":22},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What type of problems are included in the answer key?","Question",{"text":62,"@type":63},"It includes twelve word problems modeled with two-step (linear) equations, where an unknown price or rate must be solved from a total plus fixed fees.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How are the equations formed in each problem?",{"text":67,"@type":63},"Each problem typically expresses a total as the product of a quantity and an unknown, plus a constant cost (for example, setup fees, shipping, or handling).",{"name":69,"@type":60,"acceptedAnswer":70},"What do the listed answers represent?",{"text":71,"@type":63},"The answers give the solved value of the unknown variable for each word problem, such as the price per item or the monthly/hourly rate.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},485344,1790804068,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":22,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":79,"read_time":110,"preview_page_count":4},5909893218464,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Solving Two-Step Equations (Word)  \nName:  \n\n| Use the equation to solve each problem.\u003Cbr>1) A store sold 10 equally priced trophies and earned $6 in engraving fees, collecting $206 in all. This equation can be used to find t, the price of each trophy: 10t + 6 = 206. What was the price of each trophy? |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A streaming service charges a $8 setup fee plus the same rate each month. After 5 months, Oliver has paid $153 in all. This equation can be used to find m, the monthly rate: 5m + 8 = 153. What is the monthly rate? |  |  |  | 2.  \u003Cbr>3.   |  |  |  |  |  |  |  |\n| 3) | An online order of 4 equally priced books cost $40 including $8 for shipping. This equation can be used to find b, the price of each book: 4b + 8 = 40. What is the price of each book? |  |  |  | 4.  \u003Cbr>5. |  |  |  |  |  |  |  |\n| 4) | Each of 6 artists bought a canvas costing the same amount and a $5 paintbrush. Together they spent $132. This equation can be used to find s, the cost of each canvas: 6(s + 5) = 132. How much was each canvas? |  |  |  | 6.   |  |  |  |  |  |  |  |\n| 5) | An order of 4 equally priced board games cost $116 including $8 for shipping. This equation can be used to find b, the price of each board game: 4b + 8 = 116. What is the price of each board game? |  |  |  | 7.  \u003Cbr>8. |  |  |  |  |  |  |  |\n| 6) | A store shipped 7 equally priced stools and charged $7 for handling, for a total of $77. This equation can be used to find s, the price of each stool: 7s + 7 = 77. What is the price of each stool? |  |  |  | 9.   |  |  |  |  |  |  |  |\n| 7) | A phone plan charges a $15 activation fee plus the same rate each month. After 5 months, Maria has paid $65 in all. This equation can be used to find m, the monthly rate: 5m + 15 = 65. What is the monthly rate? |  |  |  | 10.  \u003Cbr>11.   |  |  |  |  |  |  |  |\n| 8) | Each of 10 hikers bought a jacket costing the same amount and a $8 water bottle before the trip. All together the gear cost $180. This equation can be used to find j, the cost of each jacket: 10(j + 8) = 180. How much was each jacket? |  |  |  | 12.   |  |  |  |  |  |  |  |\n| 9) | Each of 10 runners bought a race entry costing the same amount and a $6 bib atthe marathon. Together they paid $280. This equation can be used to find r, the price of each race entry: 10(r + 6) = 280. What was the price of each race entry? |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | A parking garage charges a $13 entry fee plus the same rate each hour. Tom parked for 7 hours and paid $111 in all. This equation can be used to find m, the hourly rate: 7m + 13 = 111. What is the hourly rate? |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | A bakery sold 17 equally priced scones and also earned $9 in tips, collecting $128 in all. This equation can be used to find s, the price of each scone: 17s + 9 = 128. What was the price of each scone? |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | Each of 5 students bought a museum ticket costing the same amount and a $4 audio guide. Altogether they spent $120. This equation can be used to find t, the price of a ticket: 5(t + 4) = 120. What was the price of a ticket? |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>3\u003Cbr>1-10\u003Cbr>11-12 | 92 | 83 | 75 |  | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  | 8 | 0 |  |  |  |  |  |  |  |  |  |\n\nSolving Two-Step Equations (Word)  \nName: Answer Key  \n\n| Use the equation to solve each problem.\u003Cbr>1) A store sold 10 equally priced trophies and earned $6 in engraving fees, collecting $206 in all. This equation can be used to find t, the price of each trophy: 10t + 6 = 206. What was the price of each trophy? |  |  |  |  | Answers\u003Cbr>1.  20  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A streaming service charges a $8 setup fee plus the same rate each month.","cbCaivfQPl3hjdmD","https://ap.wps.com/l/cbCaivfQPl3hjdmD","pdf",44745,"English","# Two-Step Equations Word Problems\n## Setup and Solve for the Unknown","[{\"question\":\"What type of problems are included in the answer key?\",\"answer\":\"It includes twelve word problems modeled with two-step (linear) equations, where an unknown price or rate must be solved from a total plus fixed fees.\"},{\"question\":\"How are the equations formed in each problem?\",\"answer\":\"Each problem typically expresses a total as the product of a quantity and an unknown, plus a constant cost (for example, setup fees, shipping, or handling).\"},{\"question\":\"What do the listed answers represent?\",\"answer\":\"The answers give the solved value of the unknown variable for each word problem, such as the price per item or the monthly/hourly rate.\"}]","Solving Two-Step Equations - Answer Key | PDF"]