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Problems cover jars with jam, cookies baked, ripe tomatoes, goldfish in an aquarium, marbles in a jar, parking lot spaces, and sold concert tickets. Each question provides a fraction, a total or count, and multiple equation options to match the scenario using variables (j, k, g, s, z, u, k).",{"@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-answer-key-466793/466793/",{"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-answer-key-466793/466793.png","ImageObject",300,407,{"name":92,"@type":93},"Liam","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","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 does each question ask students to do?","Question",{"text":112,"@type":113},"Students choose the equation that correctly models the given fraction situation using a variable representing the unknown quantity.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the fractional coefficients used in the equations?",{"text":117,"@type":113},"The fractional coefficient represents the fraction of a total that corresponds to the unknown variable, so students must match the fraction-times-total relationship to the correct option.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can students find the correct answers?",{"text":121,"@type":113},"The document includes an Answer Key section showing the selected option letters for each problem.","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},466793,1792832589,{"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) Dave filled 11⁄ 12 of the jars with jam. He filled 77 jars. If j represents the number of jars, which equation models this?\u003Cbr>A. ( 11⁄ 12)j = 77 B. 11j = 77 C. ( 12⁄ 11)j = 77 D. ( 11⁄ 12) × 77 = j | Answers |\n| --- | --- |\n|  | 1.  \u003Cbr>2.   |\n| 2) Rachel baked 2⁄ 3 of a batch of cookies before lunch. She baked 62 cookies. If k represents the number of cookies in the batch, which equation models this?\u003Cbr>A. 2k = 62 B. ( 2⁄ 3)k = 62 C. ( 2⁄ 3) × 62 = k D. ( 3⁄ 2)k = 62 | 3.  \u003Cbr>4.   |\n| 3) In the garden, 5⁄ 6 of the tomatoes were ripe. There were 55 ripe tomatoes. If g represents the number of tomatoes in the garden, which equation models this?\u003Cbr>A. ( 5⁄ 6)g = 55 B. ( 6⁄ 5)g = 55 C. ( 5⁄ 6) × 55 = g D. 5g = 55 | 5.  \u003Cbr>6.  \u003Cbr>7.   |\n| 4) In the aquarium, 3⁄ 8 of the fish are goldfish. There are 30 goldfish. If s represents the number of fish in the aquarium, which equation models this?\u003Cbr>A. ( 3⁄ 8) × 30 = s B. ( 3⁄ 8)s = 30 C. 3s = 30 D. ( 8⁄ 3)s = 30 | 8.   |\n| 5) In the aquarium, 3⁄ 5 of the fish were goldfish. There were 24 goldfish. If z represents the number of fish in the aquarium, which equation models this?\u003Cbr>A. ( 3⁄ 5) × 24 = z B. ( 5⁄ 3)z = 24 C. 3z = 24 D. ( 3⁄ 5)z = 24 |  |\n| 6) Mike filled 5⁄ 6 of a jar with marbles. He put in 30 marbles. If j represents the number of marbles the full jar holds, which equation models this?\u003Cbr>A. 5j = 30 B. ( 5⁄ 6) × 30 = j C. ( 5⁄ 6)j = 30 D. ( 6⁄ 5)j = 30 |  |\n| 7) In the parking lot, 2⁄ 5 of the spaces were taken. 18 spaces were taken. If u represents the number of spaces in the lot, which equation models this?\u003Cbr>A. 2u = 18 B. ( 5⁄ 2)u = 18 C. ( 2⁄ 5) × 18 = u D. ( 2⁄ 5)u = 18 |  |\n| 8) At the concert, 9⁄ 10 of the tickets were sold. 81 tickets were sold. If k represents the number of tickets available, which equation models this?\u003Cbr>A. ( 10⁄ 9)k = 81 B. 9k = 81 C. ( 9⁄ 10) × 81 = k D. ( 9⁄ 10)k = 81 |  |\n\n[Math](Math www.CommonCoreSheets.com 5 1-8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5 1-8)[ 5](Math www.CommonCoreSheets.com 5 1-8)[ 1-8](Math www.CommonCoreSheets.com 5 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) Dave filled 11⁄ 12 of the jars with jam. He filled 77 jars. If j represents the number of jars, which equation models this?\u003Cbr>A. ( 11⁄ 12)j = 77 B. 11j = 77 C. ( 12⁄ 11)j = 77 D. ( 11⁄ 12) × 77 = j | Answers |  |\n| --- | --- | --- |\n|  | 1.  A \u003Cbr>2.  B  |  |\n| 2) Rachel baked 2⁄ 3 of a batch of cookies before lunch. She baked 62 cookies. If k represents the number of cookies in the batch, which equation models this?\u003Cbr>A. 2k = 62 B. ( 2⁄ 3)k = 62 C. ( 2⁄ 3) × 62 = k D. ( 3⁄ 2)k = 62 | 3.\u003Cbr>4. | A |\n|  |  | B |\n|  |  |  |\n| 3) In the garden, 5⁄ 6 of the tomatoes were ripe. There were 55 ripe tomatoes. If g represents the number of tomatoes in the garden, which equation models this?\u003Cbr>A. ( 5⁄ 6)g = 55 B. ( 6⁄ 5)g = 55 C. ( 5⁄ 6) × 55 = g D. 5g = 55 | 5.\u003Cbr>6.\u003Cbr>7. | D |\n|  |  | C |\n|  |  | D |\n|  |  |  |\n| 4) In the aquarium, 3⁄ 8 of the fish are goldfish. There are 30 goldfish. If s represents the number of fish in the aquarium, which equation models this?\u003Cbr>A. ( 3⁄ 8) × 30 = s B. ( 3⁄ 8)s = 30 C. 3s = 30 D. ( 8⁄ 3)s = 30 | 8. | D |\n|  |  |  |\n| 5) In the aquarium, 3⁄ 5 of the fish were goldfish. There were 24 goldfish. If z represents the number of fish in the aquarium, which equation models this?\u003Cbr>A. ( 3⁄ 5) × 24 = z B. ( 5⁄ 3)z = 24 C. 3z = 24 D. ( 3⁄ 5)z = 24 |  |  |\n| 6) Mike filled 5⁄ 6 of a jar with marbles. He put in 30 marbles. If j represents the number of marbles the full jar holds, which equation models this?\u003Cbr>A. 5j = 30 B. ( 5⁄ 6) × 30 = j C. ( 5⁄ 6)j = 30 D. ( 6⁄ 5)j = 30 |  |  |\n| 7) In the parking lot, 2⁄ 5 of the spac","cbCaiedvOde4Y212","https://ap.wps.com/l/cbCaiedvOde4Y212","pdf",64157,"English","# Choose the Correct Equation\n## Problem set 1-8","[{\"question\":\"What does each question ask students to do?\",\"answer\":\"Students choose the equation that correctly models the given fraction situation using a variable representing the unknown quantity.\"},{\"question\":\"How are the fractional coefficients used in the equations?\",\"answer\":\"The fractional coefficient represents the fraction of a total that corresponds to the unknown variable, so students must match the fraction-times-total relationship to the correct option.\"},{\"question\":\"Where can students find the correct answers?\",\"answer\":\"The document includes an Answer Key section showing the selected option letters for each problem.\"}]","Writing an Equation with a Fractional Coefficient - Answer Key | PDF",1790771850]