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Each scenario pairs a fixed fee with a per-item or per-round price, forming equations such as 4(r+5)=160, 6r+15=57, and 2p+3=43. The answer key lists the numerical solutions for variables representing backpack, seed, laser tag, pizza, raffle entry, puzzle, badge, ride, jar, and apron costs. Suitable for practicing setting up and solving two-step equations.",{"@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/solving-two-step-equations-word-answer-key/463854/",{"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/solving-two-step-equations-word-answer-key/463854.png","ImageObject",300,407,{"name":92,"@type":93},"Patrick","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":14},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the basic equation-solving goal in these problems?","Question",{"text":112,"@type":113},"Write and use a two-step equation derived from each story to find the unknown unit price or cost. 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The group paid $160 in all. This equation can be used to find r, the cost of each backpack: 4(r + 5) = 160. How much was each backpack? |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Each of 4 gardeners bought a packet of seeds costing the same amount and a $4 trowel. All together they spent $96. This equation can be used to find t, the cost of each packet: 4(t + 4) = 96. What was the cost of each packet? |  |  |  | 2.  \u003Cbr>3.   |  |  |  |  |  |  |  |\n| 3) | An arcade charges $15 to enter plus a fixed price for each round of laser tag. Rachel played 6 rounds and spent $57 in all. This equation can be used to find r, the price of each round: 6r + 15 = 57. What is the price of each round? |  |  |  | 4.  \u003Cbr>5. |  |  |  |  |  |  |  |\n| 4) | 2 equally priced pizzas were delivered with a $3 delivery fee, for a total of $43. This equation can be used to find p, the price of each pizza: 2p + 3 = 43. What is the price of each pizza? |  |  |  | 6.   |  |  |  |  |  |  |  |\n| 5) | Each of 6 guests bought a raffle entry costing the same amount and a $4 program at the fair. Together they spent $132. This equation can be used to find r, the price of each raffle entry: 6(r + 4) = 132. What was the price of each raffle |  |  |  | 7.  \u003Cbr>8. |  |  |  |  |  |  |  |\n| 6) | entry?\u003Cbr>8 equally priced puzzles were shipped with a $8 shipping fee, for a total of $88. This equation can be used to find p, the price of each puzzle: 8p + 8 = 88. What is the price of each puzzle? |  |  |  | 9.  \u003Cbr>10. |  |  |  |  |  |  |  |\n| 7) | Each of 8 club members bought a badge costing the same amount and a $6 lanyard. The club spent $216 in all. This equation can be used to find b, the cost of each badge: 8(b + 6) = 216. What was the cost of each badge? |  |  |  | 11.   |  |  |  |  |  |  |  |\n| 8) | A carnival charges $9 to enter plus a fixed price for each ride. Amy went on 12 rides and spent $57 in all. This equation can be used to find r, the price of each ride: 12r + 9 = 57. What is the price of each ride? |  |  |  | 12.   |  |  |  |  |  |  |  |\n| 9) | Victor bought 5 equally priced backpacks and paid $5 for gift wrapping. He spent $120 in all. This equation can be used to find b, the price of each backpack: 5b + 5 = 120. How much did each backpack cost? |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | A store sold 6 equally priced jars of honey and made $16 extra from a raffle, earning $268 in all. This equation can be used to find j, the price of each jar: 6j + 16 = 268. What is the price of each jar? |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | Each of 4 workers bought a job apron costing the same amount and a $9 name tag. The company paid $152 altogether. This equation can be used to find j, the cost of each job apron: 4(j + 9) = 152. What is the cost of each job apron? |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | An arcade charges $13 to enter plus a fixed price for each token. Isabel bought 11 tokens and spent $90 in all. This equation can be used to find t, the price of each token: 11t + 13 = 90. What is the price of each token? |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>1\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) Each of 4 hikers rented a backpack costing the same amount and paid $5 for amap. The group paid $160 in all. This equation can be used to find r, the cost of each backpack: 4(r + 5) = 160. How much was each backpack? |  |  |  |  | Answers\u003Cbr>1.  35  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2)","cbCaigIdAm9f2bbb","https://ap.wps.com/l/cbCaigIdAm9f2bbb","pdf",44866,"English","# Use the equation to solve each problem\n## Problem set and answers","[{\"question\":\"What is the basic equation-solving goal in these problems?\",\"answer\":\"Write and use a two-step equation derived from each story to find the unknown unit price or cost. Then solve for the variable stated in the prompt.\"},{\"question\":\"How do the problems model fixed fees and per-item charges?\",\"answer\":\"Each situation combines a fixed amount with a per-unit amount multiplied by the number of items or rounds. The fixed fee and the total spending form an equation.\"},{\"question\":\"Where can the solutions be found?\",\"answer\":\"The document includes an Answer Key section that lists the final numerical answers for each numbered problem.\"}]","Solving Two-Step Equations - Word - Answer Key | PDF"]