[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-360014-105":59,"doc-detail-360014-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","understanding-ratios-and-rates-review-a","Understanding Ratios and Rates - Review (A)","","Practice review for writing and working with ratios and rates, including ratio notation (fraction, colon, and word form) and equivalent ratios by multiplying or dividing both terms. Covers unit rates and fraction unit rates by computing per-unit values from given scenarios, such as money, distance, time, and counts. Includes best-buy comparisons using unit prices and a challenge problem involving selecting the better pack price and calculating total cost savings for a larger quantity.",{"@graph":69,"@context":123},[70,84,106],{"@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/understanding-ratios-and-rates-review-a/360014/",{"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/understanding-ratios-and-rates-review-a/360014.png","ImageObject",300,407,{"name":92,"@type":93},"Riley West","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-24","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you write a ratio three different ways?","Question",{"text":113,"@type":114},"A ratio can be written as a fraction, a colon (using the ratio terms), or in words form. The red-to-blue quantities in each problem determine the ratio.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What is a unit rate and how is it found?",{"text":118,"@type":114},"A unit rate has a denominator of 1. To find it, compute the per-unit value, such as dollars per pound, miles per hour, or words per minute.",{"name":120,"@type":111,"acceptedAnswer":121},"How do you compare best buy options?",{"text":122,"@type":114},"Find the unit price for each option, then compare the unit rates. The lower unit price is the better deal, including in the challenge question for total pencil cost savings.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},360014,1790245840,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":39,"preview_page_count":4},1099523885074,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Name:  \n______________________________________  \nUnderstanding Ratios and Rates—Review (A)  \nRemember: Ratio: a comparison of two quantities. Write as fraction, colon, or word form. Equivalent ratios: multiply or divide both terms by the same number. Unit rate: denominator = 1. Fraction unit rate: flip and multiply. Best buy: find unit price, then compare.  \nDirections: This review covers writing ratios, equivalent ratios, unit rates, and fraction unit rates.  \nPart 1—Write the Ratio Three Ways  \n1.) A bag has 8 red marbles and 5 blue marbles. Write the ratio of red to blue.  \nFraction:   Colon:   Word:  \n_________________  \n2.) A class has 14 boys and 11 girls. Write the ratio of girls to total students.  \nFraction:   Colon:   Word:  \n_________________  \n3.) A recipe uses 3 cups flour and 2 cups sugar. Write the ratio of sugar to flour.  \nFraction:   Colon:   Word:  \n_________________  \n4.) A parking lot has 24 cars and 6 trucks. Write the ratio of trucks to cars.  \nFraction:   Colon:   Word:  \n_________________  \nPart 2—Equivalent Ratios: Fill in the missing value  \n3  $% =  !  \n5.) ~~ ~~ = ~~ ~~ 7.)  \n4 12 $\"  \n6.) !\" = ~~ ~~\\#~~ ~~ 8.) ~~ ~~&~~ ~~ = ~~ ~~4  \n'  \nPart 3—Unit Rates: Determine the unit rate for each scenario.  \n9.) $15 for 3 pounds  \nUnit rate:   $ per pound  \n10.) 280 miles in 4 hours Unit rate:   miles per hour  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n11.) $8.10 for 9 oranges 12.) 90 words in 3 minutes  \nUnit rate:   $ per orange Unit rate:   words per minute  \nPart 4—Fraction Unit Rates: Determine the unit rate for each scenario.  \n13.) Bikes 3/4 mile in 1/4 hour. 14.) Earns $2/3 in 1/3 hour. ~~3~~4 ÷ 14 =   miles per hour ~~ ~~2~~3~~ ÷ 1~~3~~ =   $ per hour  \nPart 5—Best Buy  \n15.) Which is the better deal? 16.) Which is the better deal?  \nOption A: 8 oz for $2.40 Option A: 5 notebooks for $6.25  \nOption B: 12 oz for $3.48 Option B: 8 notebooks for $9.60  \nBetter deal:   Better deal:    \n17.) Challenge Problem  \nA school store sells pencils in two pack sizes: 12 pencils for $1 .80, or 20 pencils for $2.80.  \na) Find the unit price ($ per pencil) for each pack. Show your work.  \nb) How much money would you save by buying the better deal if you need 60 pencils total?  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \nPart 1—Ratios:  \n1.) 85 | 8:5 | 8 to 5 3.) 23 | 2:3 | 2 to 3  \n2.) 1125 | 11:25 | 11 to 25 4.) 14 | 1:4 | 1 to 4  \nPart 2—Equivalent Ratios:  \n5.) missing = 9 7.) missing = 3  \n6.) missing = 15 8.) missing = 6  \nPart 3—Unit Rates:  \n9.) 5 $ per pound 11.) 0.9 $ per orange  \n10.) 70 miles per hour 12.) 30 words per minute  \nPart 4—Fraction Unit Rates:  \n13.) 34 × 4 = 3 miles per hour 14.) 23 × 3 = 2 $ per hour Part 5—Best Buy:  \n15.) Option A: $0.30/oz. Option B: $0.29/oz. → Option B is the better deal.  \n16.) Option A: $1.25 each. Option B: $1.20 each. → Option B is the better deal. Challenge: a) 12-pack: $0 . 15/pencil. 20-pack: $0 . 14/pencil. → 20-pack is better.  \nb) 60 pencils at $0.15 = $9.00. At $0.14 = $8.40. Savings: $0.60  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaidcr8uKNlarj","https://ap.wps.com/l/cbCaidcr8uKNlarj","pdf",2536826,"English","# Part 1—Write the Ratio Three Ways\n# Part 2—Equivalent Ratios: Fill in the missing value\n# Part 3—Unit Rates: Determine the unit rate for each scenario\n# Part 4—Fraction Unit Rates: Determine the unit rate for each scenario\n# Part 5—Best Buy\n## Challenge Problem","[{\"question\":\"How do you write a ratio three different ways?\",\"answer\":\"A ratio can be written as a fraction, a colon (using the ratio terms), or in words form. The red-to-blue quantities in each problem determine the ratio.\"},{\"question\":\"What is a unit rate and how is it found?\",\"answer\":\"A unit rate has a denominator of 1. To find it, compute the per-unit value, such as dollars per pound, miles per hour, or words per minute.\"},{\"question\":\"How do you compare best buy options?\",\"answer\":\"Find the unit price for each option, then compare the unit rates. The lower unit price is the better deal, including in the challenge question for total pencil cost savings.\"}]","Understanding Ratios and Rates - Review (A) | PDF",1790138507]