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The worksheet includes an example model and an answer key with equations such as y × 25 = Z or y × 1,000 = Z, supporting ratio reasoning and measurement conversions.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/writing-equations-from-ratios/481157/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/writing-equations-from-ratios/481157.png","ImageObject",300,407,{"name":42,"@type":43},"Well Done","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-29","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What does each problem ask you to write?","Question",{"text":62,"@type":63},"Write an equation that expresses the total quantity Z in terms of y given a fixed conversion ratio.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How is Z represented in the equations?",{"text":67,"@type":63},"Z is the total number of the target unit (like pennies, inches, or milliliters) produced by multiplying y by a constant conversion factor.",{"name":69,"@type":60,"acceptedAnswer":70},"What kinds of conversions are included?",{"text":71,"@type":63},"Conversions cover money (quarters, dollars, dimes, nickels) and measurement/volume (cups and ounces, meters and centimeters, feet and inches, quarts and gallons, liters and milliliters).","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},481157,1793052816,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":33,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":110},5909892210082,"https://ap-avatar.wpscdn.com/avatar/56001069da27c9f41e8?x-image-process=image/resize,m_fixed,w_180,h_180&k=1789614185077863061","Writing Equations from Ratios  \nName:  \n\n| Solve each problem.\u003Cbr>Ex) For each kilogram there are 1,000 grams. Write an equation to express the total number of grams (Z) in (y) kilograms.\u003Cbr>1) Every quarter is 25 pennies. Write an equation to express the total number of pennies (Z) in (y) quarters.\u003Cbr>2) Every dollar is 100 pennies. Write an equation to express the total number of pennies (Z) in (y) dollars.\u003Cbr>3) Every cup is 8 ounces. Write an equation to express the total number of ounces\u003Cbr>(Z) in (y) cups.\u003Cbr>4) Every meter is 100 centimeters. Write an equation to express the total number of centimeters (Z) in (y) meters.\u003Cbr>5) Every foot is 12 inches. Write an equation to express the total number of inches (Z) in (y) feet.\u003Cbr>6) Every quart is 2 pints. Write an equation to express the total number of pints\u003Cbr>(Z) in (y) quarts.\u003Cbr>7) Every yard is 3 feet. Write an equation to express the total number of feet (Z) in\u003Cbr>(y) yards.\u003Cbr>8) Every pint is 2 cups. Write an equation to express the total number of cups (Z) in (y) pints.\u003Cbr>9) Every dollar is 10 dimes. Write an equation to express the total number of dimes (Z) in (y) dollars.\u003Cbr>10) Every centimeter is 10 millimeters. Write an equation to express the total number of millimeters (Z) in (y) centimeters.\u003Cbr>11) Every dollar is 4 quarters. Write an equation to express the total number of quarters (Z) in (y) dollars.\u003Cbr>12) Every liter is 1,000 milliliters. Write an equation to express the total number of milliliters (Z) in (y) liters.\u003Cbr>13) Every gallon is 4 quarts. Write an equation to express the total number of quarts (Z) in (y) gallons.\u003Cbr>14) Every quarter is 5 nickels. Write an equation to express the total number of nickels (Z) in (y) quarters.\u003Cbr>15) For each pound there are 16 ounces. Write an equation to express the total number of ounces (Z) in (y) pounds. |  |  |  |  |  |  | Answers\u003Cbr>Ex.  y × 1,000 = Z \u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.  \u003Cbr>13.  \u003Cbr>14.  \u003Cbr>15.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 7 | 1-10\u003Cbr>11-15 | 93 | 87 | 80 |  | 73 | 67 | 60 | 53 | 47 | 40 | 33 |\n|  |  |  |  | 27 | 20 | 13 |  | 7 | 0 |  |  |  |  |  |\n\nWriting Equations from Ratios  \nName: Answer Key  \n\n| Solve each problem. |  |  |  |  |  |  | Answers |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| Ex)\u003Cbr>1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7)\u003Cbr>8)\u003Cbr>9)\u003Cbr>10)\u003Cbr>11)\u003Cbr>12)\u003Cbr>13) | For each kilogram there are 1,000 grams. Write an equation to express the total number of grams (Z) in (y) kilograms.\u003Cbr>Every quarter is 25 pennies. Write an equation to express the total number of pennies (Z) in (y) quarters.\u003Cbr>Every dollar is 100 pennies. Write an equation to express the total number of pennies (Z) in (y) dollars.\u003Cbr>Every cup is 8 ounces. Write an equation to express the total number of ounces (Z) in (y) cups.\u003Cbr>Every meter is 100 centimeters. Write an equation to express the total number of centimeters (Z) in (y) meters.\u003Cbr>Every foot is 12 inches. Write an equation to express the total number of inches (Z) in (y) feet.\u003Cbr>Every quart is 2 pints. Write an equation to express the total number of pints\u003Cbr>(Z) in (y) quarts.\u003Cbr>Every yard is 3 feet. Write an equation to express the total number of feet (Z) in\u003Cbr>(y) yards.\u003Cbr>Every pint is 2 cups. Write an equation to express the total number of cups (Z) in (y) pints.\u003Cbr>Every dollar is 10 dimes. Write an equation to express the total number of dimes (Z) in (y) dollars.\u003Cbr>Every centimeter is 10 millimeters. Write an equation to express the total number of millimeters (Z) in (y) centimeters.\u003Cbr>Every dollar is 4 quarters. Write an equation to express the total number of quarters (Z) in (y) dollars.\u003Cbr>Every liter is 1,000 milliliters. Write an equation ","cbCaiupW4lmN7Etz","https://ap.wps.com/l/cbCaiupW4lmN7Etz","pdf",45030,"English","# Solve each problem\n## Convert between units using equations","[{\"question\":\"What does each problem ask you to write?\",\"answer\":\"Write an equation that expresses the total quantity Z in terms of y given a fixed conversion ratio.\"},{\"question\":\"How is Z represented in the equations?\",\"answer\":\"Z is the total number of the target unit (like pennies, inches, or milliliters) produced by multiplying y by a constant conversion factor.\"},{\"question\":\"What kinds of conversions are included?\",\"answer\":\"Conversions cover money (quarters, dollars, dimes, nickels) and measurement/volume (cups and ounces, meters and centimeters, feet and inches, quarts and gallons, liters and milliliters).\"}]","Writing Equations from Ratios | PDF",1790796249]