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Each item presents a situation with an equation in the form of a variable multiplied by a quantity plus or minus a constant, then asks for the value of the unit price, fee, hourly rate, or similar amount. 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This equation can be used to find p, the price of each pie: 12p + 40 = 148. What was the price of each pie? |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Each of 2 runners paid the same race entry fee plus a $4 T-shirt charge. Together they paid $44. This equation can be used to find r, the entry fee for the race: 2(r + 4) = 44. What was the entry fee? |  |  |  | 2.  \u003Cbr>3.   |  |  |  |  |  |  |  |\n| 3) | Cody bought 4 equally priced seashells and paid $10 for a display case. He spent $74 in all. This equation can be used to find s, the cost of each seashell:\u003Cbr>4s + 10 = 74. How much did each seashell cost? |  |  |  | 4.  \u003Cbr>5. |  |  |  |  |  |  |  |\n| 4) | Each of 5 painters bought a brush costing the same amount and a $6 palette. Together they spent $85. This equation can be used to find b, the cost of each brush: 5(b + 6) = 85. What was the cost of each brush? |  |  |  | 6.   |  |  |  |  |  |  |  |\n| 5) | Each of 11 club members bought a badge costing the same amount and a $8 lanyard. The club spent $209 in all. This equation can be used to find b, the cost of each badge: 11(b + 8) = 209. What was the cost of each badge? |  |  |  | 7.  \u003Cbr>8.   |  |  |  |  |  |  |  |\n| 6) | Each of 4 friends bought a backpack costing the same amount and a $11 water bottle. They spent $180 in all. This equation can be used to find b, the price of each backpack: 4(b + 11) = 180. What is the price of each backpack? |  |  |  | 9.   |  |  |  |  |  |  |  |\n| 7) | Each of 8 hikers bought a jacket costing the same amount and a $3 water bottle before the trip. All together the gear cost $280. This equation can be used to find j, the cost of each jacket: 8(j + 3) = 280. How much was each jacket? |  |  |  | 10.  \u003Cbr>11.   |  |  |  |  |  |  |  |\n| 8) | Each of 8 students bought a school sweatshirt costing the same amount and a $6 keychain. Together they spent $272. This equation can be used to find s, the cost of each sweatshirt: 8(s + 6) = 272. How much was each sweatshirt? |  |  |  | 12.   |  |  |  |  |  |  |  |\n| 9) | A parking garage charges a $15 entry fee plus the same rate each hour. John parked for 6 hours and paid $39 in all. This equation can be used to find m, the hourly rate: 6m + 15 = 39. What is the hourly rate? |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | Each of the 6 players on a team bought a jersey costing the same amount and paid $10 for numbering. The team paid $324 in all. This equation can be used to find j, the cost of each jersey: 6(j + 10) = 324. What is the cost of each jersey? |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | A boat rental costs $11 plus a set amount for each hour. A 4-hour rental cost $35. This equation can be used to find m, the cost per hour: 4m + 11 = 35. What is the cost per hour? |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | Each of 4 musicians bought a set of strings costing the same amount and a $4 tuner. The band spent $64 in all. This equation can be used to find m, the cost of each set of strings: 4(m + 4) = 64. How much was each set of strings? |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>2\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 club sold 12 pies for the same price each and also earned $40 in donations, collecting $148 in all. This equation can be used to find p, the price of each pie: 12p + 40 = 148. What was the price of each pie? |  |  |  |  | Answers\u003Cbr>1.  9  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Each of 2 run","cbCaihcyLy7YveMP","https://ap.wps.com/l/cbCaihcyLy7YveMP","pdf",44875,"English","# Problems\n## Solutions (1-12)","[{\"question\":\"What types of values can the variable represent here?\",\"answer\":\"The variable can represent quantities such as unit prices (pies, seashells, brushes, badges), fees (race entry fee), hourly rates, or costs per set/item (jackets, sweatshirts, jersey costs).\"}]","Solving Two-Step Equations - Answer Key | PDF",1790804068]