[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-466797-105":59,"doc-detail-466797-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","writing-an-equation-with-a-fractional-coefficient","Writing an Equation with a Fractional Coefficient","","Practice set for writing linear equations with fractional coefficients by modeling real-life situations. Each problem describes a fraction of a total quantity (questions on a quiz, cups of juice, yarn yards, books returned, goldfish proportion, money spent, distance run, or trail portion) and provides the resulting amount. Students select the equation matching the model using a variable for the whole quantity, with multiple-choice options for the correct fractional relationship. An answer key lists the selected choices for problems 1–8.",{"@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/466797/",{"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/466797.png","ImageObject",300,407,{"name":92,"@type":93},"Liam","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the goal of each problem in the worksheet?","Question",{"text":112,"@type":113},"Choose the equation that models the situation by relating a fractional part to the whole quantity using the given variable.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do students set up an equation from a word problem here?",{"text":117,"@type":113},"Use the stated fraction (such as 3/4 or 5/6) as the coefficient multiplying the whole quantity variable to match the provided result (like 27, 12, or 10).",{"name":119,"@type":110,"acceptedAnswer":120},"Where can the correct answers be found?",{"text":121,"@type":113},"The document includes an answer key listing the correct choice for each question from 1 to 8.","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},466797,1792977990,{"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":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39},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) Bianca solved 3⁄ 4 of the questions on the quiz. She solved 27 questions. If m represents the number of questions on the quiz, which equation models this?\u003Cbr>A. ( 4⁄ 3)m = 27 B. ( 3⁄ 4)m = 27 C. 3m = 27 D. ( 3⁄ 4) × 27 = m\u003Cbr>2) Luke drank 3⁄ 5 of a jug of juice at the party. He drank 12 cups. If j represents the number of cups in the whole jug, which equation models this?\u003Cbr>A. 3j = 12 B. ( 5⁄ 3)j = 12 C. ( 3⁄ 5)j = 12 D. ( 3⁄ 5) × 12 = j\u003Cbr>3) Katie used 4⁄ 5 of a skein of yarn on a scarf. She used 8 yards. If k represents the number of yards in the whole skein, which equation models this?\u003Cbr>A. ( 4⁄ 5)k = 8 B. 4k = 8 C. ( 4⁄ 5) × 8 = k D. ( 5⁄ 4)k = 8\u003Cbr>4) Victor returned 7⁄ 12 of a shelf of books to the library. He returned 21 books. If b represents the number of books on the shelf, which equation models this?\u003Cbr>A. ( 7⁄ 12)b = 21 B. ( 12⁄ 7)b = 21 C. 7b = 21 D. ( 7⁄ 12) × 21 = b\u003Cbr>5) In the aquarium, 2⁄ 3 of the fish are goldfish. There are 62 goldfish. If s represents the number of fish in the aquarium, which equation models this?\u003Cbr>A. ( 3⁄ 2)s = 62 B. 2s = 62 C. ( 2⁄ 3)s = 62 D. ( 2⁄ 3) × 62 = s\u003Cbr>6) John spent 3⁄ 4 of his money on a game. He spent 57 dollars. If m represents the number of dollars he had, which equation models this?\u003Cbr>A. ( 4⁄ 3)m = 57 B. ( 3⁄ 4)m = 57 C. 3m = 57 D. ( 3⁄ 4) × 57 = m\u003Cbr>7) Sarah ran 5⁄ 6 of the way home from school. She ran 25 meters. If m represents the number of meters to her home, which equation models this?\u003Cbr>A. ( 5⁄ 6)m = 25 B. ( 6⁄ 5)m = 25 C. 5m = 25 D. ( 5⁄ 6) × 25 = m\u003Cbr>8) Cody ran 5⁄ 6 of the trail before lunch. He ran 10 miles. If t represents the number of miles in the whole trail, which equation models this?\u003Cbr>A. 5t = 10 B. ( 5⁄ 6)t = 10 C. ( 5⁄ 6) × 10 = t D. ( 6⁄ 5)t = 10 |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.   |  |  |  |\n| 1-8 | 88 | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 9)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9)[ 9](Math www.CommonCoreSheets.com 9)  \n Writing an Equation with a Fractional Coefficient Name: Answer Key  \n\n| Choose the equation that models each situation.\u003Cbr>1) Bianca solved 3⁄ 4 of the questions on the quiz. She solved 27 questions. If m represents the number of questions on the quiz, which equation models this?\u003Cbr>A. ( 4⁄ 3)m = 27 B. ( 3⁄ 4)m = 27 C. 3m = 27 D. ( 3⁄ 4) × 27 = m\u003Cbr>2) Luke drank 3⁄ 5 of a jug of juice at the party. He drank 12 cups. If j represents the number of cups in the whole jug, which equation models this?\u003Cbr>A. 3j = 12 B. ( 5⁄ 3)j = 12 C. ( 3⁄ 5)j = 12 D. ( 3⁄ 5) × 12 = j\u003Cbr>3) Katie used 4⁄ 5 of a skein of yarn on a scarf. She used 8 yards. If k represents the number of yards in the whole skein, which equation models this?\u003Cbr>A. ( 4⁄ 5)k = 8 B. 4k = 8 C. ( 4⁄ 5) × 8 = k D. ( 5⁄ 4)k = 8\u003Cbr>4) Victor returned 7⁄ 12 of a shelf of books to the library. He returned 21 books. If b represents the number of books on the shelf, which equation models this?\u003Cbr>A. ( 7⁄ 12)b = 21 B. ( 12⁄ 7)b = 21 C. 7b = 21 D. ( 7⁄ 12) × 21 = b\u003Cbr>5) In the aquarium, 2⁄ 3 of the fish are goldfish. There are 62 goldfish. If s represents the number of fish in the aquarium, which equation models this?\u003Cbr>A. ( 3⁄ 2)s = 62 B. 2s = 62 C. ( 2⁄ 3)s = 62 D. ( 2⁄ 3) × 62 = s\u003Cbr>6) John spent 3⁄ 4 of his money on a game. He spent 57 dollars. If m represents the number of dollars he had, which equation models this?\u003Cbr>A. ( 4⁄ 3)m = 57 B. ( 3⁄ 4)m = 57 C. 3m = 57 D. ( 3⁄ 4) × 57 = m\u003Cbr>7) Sarah ran 5⁄ 6 of the way home from school. She ran 25 meters. If m represents the number of meters to her home, which equation models this?\u003Cbr>A. ( 5⁄ 6)m = 25 B. ( 6⁄ 5)m = 25 C. 5m = 25 D. ( 5⁄ 6) × 25 = m\u003Cbr>8) Cody ran 5⁄ 6 of the trail before lunch. He ran 10 miles. If t represents the","cbCaiqzgA9UJbCkB","https://ap.wps.com/l/cbCaiqzgA9UJbCkB","pdf",64301,"English","# Choose the equation that models each situation\n## Problems 1-8","[{\"question\":\"What is the goal of each problem in the worksheet?\",\"answer\":\"Choose the equation that models the situation by relating a fractional part to the whole quantity using the given variable.\"},{\"question\":\"How do students set up an equation from a word problem here?\",\"answer\":\"Use the stated fraction (such as 3/4 or 5/6) as the coefficient multiplying the whole quantity variable to match the provided result (like 27, 12, or 10).\"},{\"question\":\"Where can the correct answers be found?\",\"answer\":\"The document includes an answer key listing the correct choice for each question from 1 to 8.\"}]","Writing an Equation with a Fractional Coefficient | PDF",1790771856]