[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-485338-105":3,"doc-detail-485338-en":81,"detail-sidebar-cat-0-en-105":97},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","solving-two-step-equations-answer-key","Solving Two-Step Equations - Answer Key","","Solving Two-Step Equations - Answer Key provides the solutions for twelve word problems that can be modeled with two-step equations. Each item gives a pricing or total-cost scenario and an equation such as 4b + 9 = 101 or 7r + 13 = 55. The answer key supplies the computed values for the unknown price or rate in each scenario, covering books, rides, jars, stools, posters, plants, rentals, movie tickets, party favors, shoes, bracelets, and jump ropes.",{"@graph":14,"@context":73},[15,34,56],{"@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/485338/",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/485338.png","ImageObject",300,407,{"name":42,"@type":43},"dhado","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What do the equations represent in each problem?","Question",{"text":63,"@type":64},"Each problem uses an equation that models a real situation, such as total cost or total spending. The variable represents the unknown price or rate (e.g., price per book or hourly rental rate).","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How are two-step equations used to find the unknown?",{"text":68,"@type":64},"The unknown is isolated by using inverse operations based on the given equation. After simplifying, the computed value is the required price or rate for that scenario.",{"name":70,"@type":61,"acceptedAnswer":71},"What types of scenarios are included in the answer key?",{"text":72,"@type":64},"The scenarios include buying items with equal prices, paying entry or handling fees, adding fixed deposits or delivery costs, and combining ticket prices with snacks.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},485338,1792832879,{"code":4,"msg":82,"data":83},"success",{"doc_id":79,"user_id":84,"nickname":42,"user_avatar":85,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":86,"file_id":87,"file_url":88,"file_type":89,"file_size":90,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":91,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":92,"faqs":93,"seo_title":94,"seo_description":12,"update_tm":95,"read_time":96,"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) An online order of 4 equally priced books cost $101 including $9 for shipping. This equation can be used to find b, the price of each book: 4b + 9 = 101. What is the price of each book? |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A carnival charges $13 to enter plus a fixed price for each ride. Janet went on 7 rides and spent $55 in all. This equation can be used to find r, the price of each ride: 7r + 13 = 55. What is the price of each ride? |  |  |  | 2.  \u003Cbr>3.   |  |  |  |  |  |  |  |\n| 3) | A store sold 9 equally priced jars of honey and made $15 extra from a raffle, earning $312 in all. This equation can be used to find j, the price of each jar: 9j + 15 = 312. What is the price of each jar? |  |  |  | 4.  \u003Cbr>5. |  |  |  |  |  |  |  |\n| 4) | A store shipped 6 equally priced stools and charged $9 for handling, for a total of $45. This equation can be used to find s, the price of each stool: 6s + 9 = 45. What is the price of each stool? |  |  |  | 6.   |  |  |  |  |  |  |  |\n| 5) | Emily ordered 3 equally priced posters and paid a $5 handling fee, spending $83 in all. This equation can be used to find p, the price of each poster: 3p + 5 = 83. What is the price of each poster? |  |  |  | 7.  \u003Cbr>8. |  |  |  |  |  |  |  |\n| 6) | 5 equally priced plants were delivered with a $7 delivery fee, for a total of $112. This equation can be used to find p, the price of each plant: 5p + 7 = 112. What is the price of each plant? |  |  |  | 9.   |  |  |  |  |  |  |  |\n| 7) | A bike shop charges a $8 deposit plus a fixed rate for each hour of rental. Henry rented a bike for 6 hours and paid $44. This equation can be used to find r, the rate per hour: 6r + 8 = 44. What is the rate per hour? |  |  |  | 10.  \u003Cbr>11.   |  |  |  |  |  |  |  |\n| 8) | A group of 4 friends each paid for a ticket and a $2 snack at the movies. Together they spent $80. This equation can be used to find t, the price of a ticket: 4(t + 2) = 80. What was the price of a ticket? |  |  |  | 12.   |  |  |  |  |  |  |  |\n| 9) | Each of 12 guests at a party bought a party favor costing the same amount anda $7 hat. In all they spent $564. This equation can be used to find p, the price of each favor: 12(p + 7) = 564. What was the price of each favor? |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | Each of 5 runners bought a pair of shoes costing the same amount and a $7 water bottle. Together they spent $135. This equation can be used to find s, the cost of each pair of shoes: 5(s + 7) = 135. How much was each pair of shoes? |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | Gwen ordered 9 equally priced bracelets and paid $8 for gift wrapping, spending $215 in all. This equation can be used to find b, the price of each bracelet: 9b + 8 = 215. What is the price of each bracelet? |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | A shop sold 10 equally priced jump ropes and collected $5 from a donation jar, for a total of $95. This equation can be used to find j, the price of each jump rope: 10j + 5 = 95. What is the price of each jump rope? |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>10\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) An online order of 4 equally priced books cost $101 including $9 for shipping. This equation can be used to find b, the price of each book: 4b + 9 = 101. What is the price of each book? |  |  |  |  | Answers\u003Cbr>1.  23  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A carnival charges $13 to enter plus a fixed price for each ride. Janet went on 7 rides and spent $55 in all. This equation can b","cbCaifJDKsHA0ggb","https://ap.wps.com/l/cbCaifJDKsHA0ggb","pdf",44896,"English","# Problems Solving Two-Step Equations\n## Answer Key","[{\"question\":\"What do the equations represent in each problem?\",\"answer\":\"Each problem uses an equation that models a real situation, such as total cost or total spending. The variable represents the unknown price or rate (e.g., price per book or hourly rental rate).\"},{\"question\":\"How are two-step equations used to find the unknown?\",\"answer\":\"The unknown is isolated by using inverse operations based on the given equation. After simplifying, the computed value is the required price or rate for that scenario.\"},{\"question\":\"What types of scenarios are included in the answer key?\",\"answer\":\"The scenarios include buying items with equal prices, paying entry or handling fees, adding fixed deposits or delivery costs, and combining ticket prices with snacks.\"}]","Solving Two-Step Equations - Answer Key | PDF",1790804057,8,{"code":4,"msg":82,"data":98},[99,103,107,110,115,119,124,128,133,136,140],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":100,"show_sort_weight":101,"slug":102},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":104,"show_sort_weight":105,"slug":106},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":108,"slug":109},70,"exam",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},5,"Comic",60,"comic",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},"Technology",50,"technology",{"id":120,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":122,"slug":123},7,"Healthcare",40,"healthcare",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":126,"slug":127},"Research & Report",30,"research-report",{"id":129,"doc_module":4,"doc_module_name":25,"category_name":130,"show_sort_weight":131,"slug":132},9,"Religion & Spirituality",20,"religion-spirituality",{"id":131,"doc_module":4,"doc_module_name":25,"category_name":134,"show_sort_weight":131,"slug":135},"World Cup","world-cup",{"id":137,"doc_module":4,"doc_module_name":25,"category_name":138,"show_sort_weight":137,"slug":139},10,"Lifestyle","lifestyle",{"id":141,"doc_module":4,"doc_module_name":25,"category_name":142,"show_sort_weight":111,"slug":143},19,"General","general"]