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Each item presents a real-world scenario such as parking fees, plant purchases, theater tickets, skate sessions, runners buying shoes, sandwich orders, books with add-ons, museum passes, and more. 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Sarah parked for 6 hours and paid $184. This equation can be used to find r, the rate per hour: 6r + 4 = 184. What is the rate per hour?\u003Cbr>2) Each of 3 students bought a plant costing the same amount and a $9 pot at the garden club. Together they spent $93. This equation can be used to find p, the price of each plant: 3(p + 9) = 93. What was the price of each plant?\u003Cbr>3) Carla bought 8 equally priced theater tickets. The total cost was $190 including a $6 service charge. This equation can be used to find t, the price of each ticket: 8t + 6 = 190. What is the price of each ticket?\u003Cbr>4) A skating rink charges $15 for skate rental plus a fixed price for each session. Emily went to 5 sessions and paid $115 in all. This equation can be used to find r, the price of each session: 5r + 15 = 115. What is the price of each session?\u003Cbr>5) Each of 6 runners bought a pair of shoes costing the same amount and a $5 water bottle. Together they spent $180. This equation can be used to find s, the cost of each pair of shoes: 6(s + 5) = 180. How much was each pair of shoes?\u003Cbr>6) 8 equally priced sandwiches were ordered with a $9 delivery fee, for a total of $153. This equation can be used to find s, the price of each sandwich: 8s + 9 = 153. What is the price of each sandwich?\u003Cbr>7) Each of 7 students bought a book costing the same amount and a $9 bookmark at the fair. Altogether they spent $161. This equation can be used to find b, the price of each book: 7(b + 9) = 161. What is the price of each book?\u003Cbr>8) Each of 6 members bought a pass costing the same amount and a $11 lanyard at the museum. All together the passes cost $144. This equation can be used to find p, the price of each pass: 6(p + 11) = 144. What was the price of each pass?\u003Cbr>9) A bakery sold 4 equally priced jars of jam and earned $6 from a raffle, collecting $70 in all. This equation can be used to find j, the price of each jar: 4j + 6 = 70. What was the price of each jar?\u003Cbr>10) Each of 7 scouts bought a badge costing the same amount and a $6 patch. The troop paid $182 in all. This equation can be used to find j, the cost of each badge: 7(j + 6) = 182. What is the cost of each badge?\u003Cbr>11) Each of 3 students bought a school sweatshirt costing the same amount and a $7 keychain. Together they spent $81. This equation can be used to find s, the cost of each sweatshirt: 3(s + 7) = 81. How much was each sweatshirt?\u003Cbr>12) Each of 5 volunteers bought a jersey costing the same amount and a $10 cap for the cleanup. All together the items cost $100. This equation can be used to find j, the cost of each jersey: 5(j + 10) = 100. How much was each jersey? |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>\u003Cbr>Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>7\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 parking garage charges a $4 entry fee plus a set rate for each hour. Sarah parked for 6 hours and paid $184. This equation can be used to find r, the rate per hour: 6r + 4 = 184. What is the rate per hour? |  |  |  |  | Answers\u003Cbr>1.  30  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Each of 3 students bought a plant costing the same amount and a $9 pot at the garden club. Together they spent $93. This equation can be used to find p, the price of each plant: 3(p + 9) = 93. What was the price of each plant? |  |  |  | 2.  22  3.  23  |  |  |  |  |  |  |  |\n| 3) | Carla bought 8 equally priced theater tickets. ","cbCaivVWTb1fDEZJ","https://ap.wps.com/l/cbCaivVWTb1fDEZJ","pdf",44893,"English","# Problems 1-12\n## Answer key values","[{\"question\":\"What type of equations are used in these problems?\",\"answer\":\"All problems use two-step equations derived from word scenarios. Each equation separates a fixed fee from a per-item or per-session rate, then solves for the unknown price or rate.\"},{\"question\":\"How are the unknowns defined in the questions?\",\"answer\":\"Each question defines an unknown such as r (hourly rate or session cost), p (plant or pass price), t (ticket price), or s (sandwich/shoes cost). The equation is built around that variable using the given total cost.\"},{\"question\":\"Where can the solutions be found in the document?\",\"answer\":\"The document includes an “Answer Key” section listing the computed answers for problems 1 through 12.\"}]","Solving Two-Step Equations - Word - Answer Key | PDF",1790804078]