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If m represents the number of minutes in the whole movie, which equation models this?\u003Cbr>A. ( 10⁄ 7)m = 42 B. ( 7⁄ 10)m = 42 C. ( 7⁄ 10) × 42 = m D. 7m = 42 | Answers |\n| --- | --- |\n|  | 1.  \u003Cbr>2.   |\n| 2) Janet filled 2⁄ 5 of a jug with water. That was 22 cups. If w represents the number of cups the jug holds, which equation models this?\u003Cbr>A. ( 5⁄ 2) w = 22 B. ( 2⁄ 5) × 22 = w C. 2w = 22 D. ( 2⁄ 5) w = 22 | 3.  \u003Cbr>4.   |\n| 3) Victor poured 3⁄ 10 of a bag of sand into a bucket. He poured 9 pounds. If z represents the number of pounds in the whole bag, which equation models this?\u003Cbr>A. ( 3⁄ 10)z = 9 B. 3z = 9 C. ( 10⁄ 3)z = 9 D. ( 3⁄ 10) × 9 = z | 5.  \u003Cbr>6.  \u003Cbr>7.   |\n| 4) Isabel answered 11⁄ 12 of the questions on the quiz. She answered 44 questions. If n represents the number of questions on the quiz, which equation models this?\u003Cbr>A. ( 11⁄ 12) × 44 = n B. ( 11⁄ 12)n = 44 C. ( 12⁄ 11)n = 44 D. 11n = 44 | 8.   |\n| 5) In the garden, 2⁄ 3 of the flowers were daisies. There were 18 daisies. If d represents the number of flowers in the garden, which equation models this?\u003Cbr>A. ( 3⁄ 2)d = 18 B. ( 2⁄ 3) × 18 = d C. ( 2⁄ 3)d = 18 D. 2d = 18 |  |\n| 6) On the shelf, 2⁄ 5 of the books are paperbacks. There are 24 paperbacks. If b represents the number of books on the shelf, which equation models this?\u003Cbr>A. ( 5⁄ 2)b = 24 B. ( 2⁄ 5) × 24 = b C. 2b = 24 D. ( 2⁄ 5)b = 24 |  |\n| 7) In the parking lot, 5⁄ 8 of the spaces were taken. 25 spaces were taken. If u represents the number of spaces in the lot, which equation models this?\u003Cbr>A. ( 5⁄ 8)u = 25 B. ( 8⁄ 5)u = 25 C. ( 5⁄ 8) × 25 = u D. 5u = 25 |  |\n| 8) In the garden, 7⁄ 12 of the plants are tomatoes. There are 28 tomato plants. If g represents the number of plants in the garden, which equation models this?\u003Cbr>A. ( 7⁄ 12)g = 28 B. ( 7⁄ 12) × 28 = g C. ( 12⁄ 7)g = 28 D. 7g = 28 |  |\n\n[Math](Math www.CommonCoreSheets.com 10 1-8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10 1-8)[ 10](Math www.CommonCoreSheets.com 10 1-8)[ 1-8](Math www.CommonCoreSheets.com 10 1-8) 88 75 63 50 38 25 13 0  \n\n|  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n\n Writing an Equation with a Fractional Coefficient Name: Answer Key  \n\n| Choose the equation that models each situation.\u003Cbr>1) Tom watched 7⁄ 10 of the movie last night, which was 42 minutes. If m represents the number of minutes in the whole movie, which equation models this?\u003Cbr>A. ( 10⁄ 7)m = 42 B. ( 7⁄ 10)m = 42 C. ( 7⁄ 10) × 42 = m D. 7m = 42 |  |  |  |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  | 1.  B \u003Cbr>2.  D  |  |  |  |  |\n| 2) Janet filled 2⁄ 5 of a jug with water. That was 22 cups. If w represents the number of cups the jug holds, which equation models this?\u003Cbr>A. ( 5⁄ 2) w = 22 B. ( 2⁄ 5) × 22 = w C. 2w = 22 D. ( 2⁄ 5) w = 22 |  |  |  |  | 3.\u003Cbr>4. |  | A |  |  |\n|  |  |  |  |  |  |  | B |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 3) Victor poured 3⁄ 10 of a bag of sand into a bucket. He poured 9 pounds. If z represents the number of pounds in the whole bag, which equation models this?\u003Cbr>A. ( 3⁄ 10)z = 9 B. 3z = 9 C. ( 10⁄ 3)z = 9 D. ( 3⁄ 10) × 9 = z |  |  |  |  | 5.\u003Cbr>6.\u003Cbr>7. |  | C |  |  |\n|  |  |  |  |  |  |  | D |  |  |\n|  |  |  |  |  |  |  | A |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 4) Isabel answered 11⁄ 12 of the questions on the quiz. She answered 44 questions. If n represents the number of questions on the quiz, which equation models this?\u003Cbr>A. ( 11⁄ 12) × 44 = n B. ( 11⁄ 12)n = 44 C. ( 12⁄ 11)n = 44 D. 11n = 44 |  |  |  |  | 8. |  | A |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 5) In the garden, 2⁄ 3 of the flowers were daisies. There were 18 daisies. If d represents the number of flowers in the garden, which equation models this?\u003Cbr>A. ( 3⁄ 2)d = 18 B","cbCaijRldxFsvuGG","https://ap.wps.com/l/cbCaijRldxFsvuGG","pdf",64256,"English","# Choose the equation that models each situation\n## Problem 1\n## Problem 2\n## Problem 3\n## Problem 4\n## Problem 5\n## Problem 6\n## Problem 7\n## Problem 8","[{\"question\":\"What kind of equations does this worksheet practice?\",\"answer\":\"It practices writing equations that use fractional coefficients to model situations where a given fraction of a whole corresponds to a measured amount.\"},{\"question\":\"How are the variables defined in each problem?\",\"answer\":\"Each problem defines a variable as the number of units in the whole quantity (e.g., m for the whole movie, w for the cups the jug holds, or n for the quiz’s total questions).\"},{\"question\":\"What does the answer key provide?\",\"answer\":\"The answer key lists the correct multiple-choice option selections for problems 1 through 8.\"}]","Writing an Equation with a Fractional Coefficient - Answer Key | PDF",1790771838]