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Each problem gives a fraction of a whole quantity, a resulting number, and a variable representing the total. Students select from multiple-choice equations that correctly set up the relationship using multiplication or equivalent forms, then verify using the provided answer key.",{"@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/writing-an-equation-with-a-fractional-coefficient-choose-the-equation-that-models-each-situation/466786/",{"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/writing-an-equation-with-a-fractional-coefficient-choose-the-equation-that-models-each-situation/466786.png","ImageObject",300,407,{"name":92,"@type":93},"Liam","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does each problem ask students to do?","Question",{"text":112,"@type":113},"Select the equation that models the situation described, using the given fraction of a whole quantity and the total represented by a variable.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is the variable defined in each question?",{"text":117,"@type":113},"A letter variable (such as d, s, f, m, c, or b) represents the whole quantity—for example, total tickets available or total puzzle pieces.",{"name":119,"@type":110,"acceptedAnswer":120},"What types of equations appear in the answer choices?",{"text":121,"@type":113},"Choices typically include multiplying the variable by a fractional coefficient, using equivalent algebraic forms, or expressing the relationship as a product involving the fraction.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},466786,1790818159,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":41,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":144},8796095461564,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Writing an Equation with a Fractional Coefficient Name:  \n\n| Choose the equation that models each situation.\u003Cbr>1) At the concert, 3⁄ 5 of the tickets were sold. 30 tickets were sold. If d represents the number of tickets available, which equation models this?\u003Cbr>A. 3d = 30 B. ( 3⁄ 5)d = 30 C. ( 3⁄ 5) × 30 = d D. ( 5⁄ 3)d = 30\u003Cbr>2) George sold 3⁄ 10 of his tickets before the show. He sold 9 tickets. If s represents the number of tickets he had, which equation models this?\u003Cbr>A. ( 3⁄ 10) × 9 = s B. 3s = 9 C. ( 10⁄ 3)s = 9 D. ( 3⁄ 10)s = 9\u003Cbr>3) Rachel finished 3⁄ 4 of a puzzle on Sunday, which was 60 pieces. If d represents the number of pieces in the whole puzzle, which equation models this?\u003Cbr>A. 3d = 60 B. ( 4⁄ 3)d = 60 C. ( 3⁄ 4)d = 60 D. ( 3⁄ 4) × 60 = d\u003Cbr>4) At the pond, 2⁄ 3 of the fish were goldfish. There were 52 goldfish. If f represents the number of fish in the pond, which equation models this?\u003Cbr>A. ( 2⁄ 3) × 52 = f B. ( 3⁄ 2)f = 52 C. 2f = 52 D. ( 2⁄ 3)f = 52\u003Cbr>5) Oliver watched 4⁄ 5 of the movie last night, which was 68 minutes. If m represents the number of minutes in the whole movie, which equation models this?\u003Cbr>A. 4m = 68 B. ( 5⁄ 4)m = 68 C. ( 4⁄ 5)m = 68 D. ( 4⁄ 5) × 68 = m\u003Cbr>6) Vanessa colored 5⁄ 6 of the boxes on a chart, which was 60 boxes. If c represents the number of boxes on the chart, which equation models this?\u003Cbr>A. ( 5⁄ 6) × 60 = c B. ( 5⁄ 6)c = 60 C. 5c = 60 D. ( 6⁄ 5)c = 60\u003Cbr>7) Jerry filled 7⁄ 12 of the boxes with toys. He filled 56 boxes. If c represents the number of boxes he had, which equation models this?\u003Cbr>A. ( 7⁄ 12) × 56 = c B. 7c = 56 C. ( 7⁄ 12)c = 56 D. ( 12⁄ 7)c = 56\u003Cbr>8) Mike planted 4⁄ 5 of the seeds in the packet. He planted 8 seeds. If b represents the number of seeds in the packet, which equation models this?\u003Cbr>A. ( 5⁄ 4)b = 8 B. 4b = 8 C. ( 4⁄ 5) × 8 = b D. ( 4⁄ 5)b = 8 | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.   |\n| --- | --- |\n\n[Math](Math www.CommonCoreSheets.com 1 1-8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1 1-8)[ 1](Math www.CommonCoreSheets.com 1 1-8)[ 1-8](Math www.CommonCoreSheets.com 1 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) At the concert, 3⁄ 5 of the tickets were sold. 30 tickets were sold. If d represents the number of tickets available, which equation models this?\u003Cbr>A. 3d = 30 B. ( 3⁄ 5)d = 30 C. ( 3⁄ 5) × 30 = d D. ( 5⁄ 3)d = 30\u003Cbr>2) George sold 3⁄ 10 of his tickets before the show. He sold 9 tickets. If s represents the number of tickets he had, which equation models this?\u003Cbr>A. ( 3⁄ 10) × 9 = s B. 3s = 9 C. ( 10⁄ 3)s = 9 D. ( 3⁄ 10)s = 9\u003Cbr>3) Rachel finished 3⁄ 4 of a puzzle on Sunday, which was 60 pieces. If d represents the number of pieces in the whole puzzle, which equation models this?\u003Cbr>A. 3d = 60 B. ( 4⁄ 3)d = 60 C. ( 3⁄ 4)d = 60 D. ( 3⁄ 4) × 60 = d\u003Cbr>4) At the pond, 2⁄ 3 of the fish were goldfish. There were 52 goldfish. If f represents the number of fish in the pond, which equation models this?\u003Cbr>A. ( 2⁄ 3) × 52 = f B. ( 3⁄ 2)f = 52 C. 2f = 52 D. ( 2⁄ 3)f = 52\u003Cbr>5) Oliver watched 4⁄ 5 of the movie last night, which was 68 minutes. If m represents the number of minutes in the whole movie, which equation models this?\u003Cbr>A. 4m = 68 B. ( 5⁄ 4)m = 68 C. ( 4⁄ 5)m = 68 D. ( 4⁄ 5) × 68 = m\u003Cbr>6) Vanessa colored 5⁄ 6 of the boxes on a chart, which was 60 boxes. If c represents the number of boxes on the chart, which equation models this?\u003Cbr>A. ( 5⁄ 6) × 60 = c B. ( 5⁄ 6)c = 60 C. 5c = 60 D. ( 6⁄ 5)c = 60\u003Cbr>7) Jerry filled 7⁄ 12 of the boxes with toys. He filled 56 boxes. If c represents the number of boxes he had, which equation models this?\u003Cbr>A. ( 7⁄ 12) × 56 = c B. 7c = 56 C. ( 7⁄ 12)c = 56 D. ( 12⁄ 7)c = 56\u003Cbr>8) Mike planted 4⁄ 5 of the seeds in the packet. He planted 8 seeds. If b represents the num","cbCaiqwZLGRgZV5W","https://ap.wps.com/l/cbCaiqwZLGRgZV5W","pdf",649444,"English","# Choose the equation that models each situation\n## Problem 1: Concert tickets (3/5 of tickets)\n## Problem 2: George’s tickets (3/10)\n## Problem 3: Puzzle pieces (3/4)\n## Problem 4: Goldfish in a pond (2/3)\n## Problem 5: Movie watched (4/5)\n## Problem 6: Colored boxes (5/6)\n## Problem 7: Boxes filled with toys (7/12)\n## Problem 8: Seeds planted (4/5)\n# Answer Key","[{\"question\":\"What does each problem ask students to do?\",\"answer\":\"Select the equation that models the situation described, using the given fraction of a whole quantity and the total represented by a variable.\"},{\"question\":\"How is the variable defined in each question?\",\"answer\":\"A letter variable (such as d, s, f, m, c, or b) represents the whole quantity—for example, total tickets available or total puzzle pieces.\"},{\"question\":\"What types of equations appear in the answer choices?\",\"answer\":\"Choices typically include multiplying the variable by a fractional coefficient, using equivalent algebraic forms, or expressing the relationship as a product involving the fraction.\"}]","Writing an Equation with a Fractional Coefficient - Choose the equation that models each situation | PDF",1790771843,76]