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Alltogether the supplies cost $88. This equation can be used to find p, the price of each pan: 4(p + 7) = 88. What was the price of each pan? |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Each of 8 painters bought a brush costing the same amount and a $6 palette. Together they spent $240. This equation can be used to find b, the cost of each brush: 8(b + 6) = 240. What was the cost of each brush? |  |  |  | 2.  \u003Cbr>3.   |  |  |  |  |  |  |  |\n| 3) | Each of 8 guests paid the same room rate plus a $6 cleaning fee at a lodge. The group paid $192 in all. This equation can be used to find r, the room rate for each guest: 8(r + 6) = 192. What is the room rate? |  |  |  | 4.  \u003Cbr>5. |  |  |  |  |  |  |  |\n| 4) | Each of 3 band members bought a jacket costing the same amount and a $8 pin. The band paid $75 in all. This equation can be used to find j, the cost of each jacket: 3(j + 8) = 75. What is the cost of each jacket? |  |  |  | 6.   |  |  |  |  |  |  |  |\n| 5) | Each of 6 friends bought a backpack costing the same amount and a $12 water bottle. They spent $288 in all. This equation can be used to find b, the price of each backpack: 6(b + 12) = 288. What is the price of each backpack? |  |  |  | 7.  \u003Cbr>8.   |  |  |  |  |  |  |  |\n| 6) | A store shipped 4 equally priced stools and charged $4 for handling, for a total of $44. This equation can be used to find s, the price of each stool: 4s + 4 = 44. What is the price of each stool? |  |  |  | 9.   |  |  |  |  |  |  |  |\n| 7) | A skating rink charges a $6 skate rental plus a fixed price for each hour. Frank skated for 9 hours and paid $114 in all. This equation can be used to find r, the price per hour: 9r + 6 = 114. What is the price per hour? |  |  |  | 10.  \u003Cbr>11.   |  |  |  |  |  |  |  |\n| 8) | Each of 7 musicians bought a set of strings costing the same amount and a $10 tuner. The band spent $238 in all. This equation can be used to find m, the cost of each set of strings: 7(m + 10) = 238. How much was each set of strings? |  |  |  | 12.   |  |  |  |  |  |  |  |\n| 9) | A store sold 7 equally priced trophies and earned $4 in engraving fees, collecting $95 in all. This equation can be used to find t, the price of each trophy: 7t + 4 = 95. What was the price of each trophy? |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | A streaming service charges a $10 setup fee plus the same rate each month. After 8 months, Luke has paid $202 in all. This equation can be used to find m, the monthly rate: 8m + 10 = 202. What is the monthly rate? |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | Debby bought 8 equally priced train tickets. The total cost was $66 including a $10 booking fee. This equation can be used to find t, the price of each ticket: 8t + 10 = 66. What is the price of each ticket? |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | A library charges a $11 membership fee plus the same rate each month. After 4 months, Faye has paid $35 in all. This equation can be used to find m, the monthly rate: 4m + 11 = 35. What is the monthly rate? |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>5\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 bakers bought a pan costing the same amount and a $7 whisk. Alltogether the supplies cost $88. This equation can be used to find p, the price of each pan: 4(p + 7) = 88. What was the price of each pan? |  |  |  |  | Answers\u003Cbr>1.  15  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Each of 8 painters bought a brush costing ","cbCaiaPmtnTQODZN","https://ap.wps.com/l/cbCaiaPmtnTQODZN","pdf",44863,"English","# Problem Solving with Two-Step Equations\n## Equation Setup and Variable Isolation\n## Answer Key","[{\"question\":\"What method is used to solve the two-step equations in these problems?\",\"answer\":\"Each problem is translated into an equation by combining the repeated item cost/rate with a fixed fee, then solving for the single variable using basic algebra.\"},{\"question\":\"How are the equations formed from the word descriptions?\",\"answer\":\"Use the count of items (or hours/months/guests) multiplied by the variable part, add any fixed charge, and set the result equal to the stated total.\"},{\"question\":\"Where can the final answers be found?\",\"answer\":\"The document includes an Answer Key section listing the computed values for each numbered problem.\"}]","Solving Two-Step Equations - Solve Each Problem | PDF"]