[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-359795-105":59,"doc-detail-359795-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","ratios-rates-and-proportions-mixed-review-a","Ratios, Rates, and Proportions - Mixed Review (A)","","Mixed Review (A) focuses on unit and proportional reasoning, covering ratios in multiple forms, equivalent ratios, and writing ratios as fractions, colon forms, and word statements. Practice items include fraction and unit rates, graph-based proportional relationship checks, constant of proportionality k, and forming equations y=kx. Learners also solve proportions, compute missing values in ratio and rate tables, and interpret distance-rate situations, including a multi-part challenge problem with item production over time. An answer key supports self-checking.",{"@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/ratios-rates-and-proportions-mixed-review-a/359795/",{"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/ratios-rates-and-proportions-mixed-review-a/359795.png","ImageObject",300,407,{"name":92,"@type":93},"Maya Linwood","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-25","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":46},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What ratio forms are students asked to write in the first problem?","Question",{"text":112,"@type":113},"Students write the ratio of red to blue in three forms: fraction, colon, and words.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do students determine whether a relationship is proportional?",{"text":117,"@type":113},"They use the graph or point set to check whether the relationship has a constant of proportionality, typically requiring y/x to be constant and checking that the proportional line passes through the origin.",{"name":119,"@type":110,"acceptedAnswer":120},"What does the challenge problem require students to do?",{"text":121,"@type":113},"It asks for the unit rate (items per hour), the time needed to produce a larger number of items, and the number of items produced in a 10-hour shift, using equations based on y=kx.","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},359795,1790377691,{"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":46,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"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":52,"preview_page_count":4},962084928432,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name:  \n______________________________________  \nRatios, Rates, and Proportions—Mixed Review (A)  \nRemember: This review covers all ratio, rate, and proportion skills. Writing ratios • Equivalent ratios • Unit rates • Fraction unit rates • Proportional relationships • Constant of proportionality • Writing equations • Solving proportions.  \nDirections: This review covers all skills from the Ratios, Rates, and Proportions unit.  \nMixed Practice:  \n1.) A jar has 5 red and 3 blue marbles. Write the ratio of red to blue in all 3 forms.  \nFraction:   Colon:   Word:    \n2.) Find the missing value: 34 = x16  \nx:  \n_______________________________  \n3.) Fill in the missing values in the ratio table below:  \n\n| x | 2 | 4 | 6 | 8 |\n| --- | --- | --- | --- | --- |\n| y | 7 |  |  |  |\n\n4.) Find the unit rate: $18 for 6 pounds of produce. Unit rate:   $ per pound  \n5.) Find the unit rate: A person walks 34 mile in 14 hour.  \n34 ÷ 14 =   mph  \n6.) Observe the graph. Is this a proportional relationship?  \nProportional?   Explain:  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets mashupmath  \n7.) Find k and write the equation y = kx:  \n\n| x | 1 | 2 | 3 | 4 |\n| --- | --- | --- | --- | --- |\n| y | 4 | 8 | 12 | 16 |\n\nk =   Equation:    \n8.) A car travels 55 miles per hour. Write an equation for distance travelled, y ,after x hours.  \nEquation:    \n9.) Solve for x: 34 = x20  \nx =    \n10.) A class has 12 boys and 9 girls. Write ratio of girls to total students in reduced form.  \nRatio:    \n11.) Find the unit rate: 280 miles traveled in 240 minutes  \nWhat is the unit rate in miles per hour (mph)?  \nUnit rate:   mph  \n12.) A line passes through the points: (0,3),(1,6),(2,9) .  \nIs this proportional? Proportional?    \nExplain:  \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)  \n13.) Find k and write the equation y = kx:  \n\n| x | 2 | 4 | 6 | 8 |\n| --- | --- | --- | --- | --- |\n| y | 5 | 10 | 15 | 20 |\n\nk =   Equation:   14.) Solve for x: x5 = 160  \nx =    \n15.) Find the unit rate: Kayla earns $23 in 13 hour. How much money does she earn per hour?  \n  $/hr  \n16.) A car uses 3 gallons for 90 miles. How many gallons would be needed to travel 150 miles?  \nProportion:   Answer:    \n17.) Challenge Problem  \nA factory produces 360 items in 8 hours.  \na) Find the unit rate. Write the equation y=kx where x=hours and y=items.  \nb) How long to produce 675 items?  \nc) How many items in a 10-hour shift?  \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  \n1.) 5/3 | 5:3 | 5 to 3  \n2.) 3/4 = x/16 → x = 12  \n3.) y: 14, 21, 28  \n4.) $3 per pound  \n5.) 34 ÷ 14 = 3 mph  \n6.) Yes—y/x=4 for all pairs  \n7.) k = 4 k=4, y=4x  \n8.) y=55x  \n9.) 3/4 = x/20 → x = 15  \n10.) 3/7 | 3:7 | 3 to 7  \n11.) 70 mph  \n12.) No—y-intercept is 3, not 0—not proportional  \n13.) k = 52~~ ~~ k=5/2, y=5/2 x  \n14.) x/5 = 6/10 → x = 3  \n15.) 23 ÷ 13 = 2 $/hr  \n16.) 3/90=x/150 → 5  \n17.) Challenge:  \na) k=360÷8=45 items/hr. y=45x  \nb) 675=45x → x=15 hours.  \nc) 10-hr shift: y=45(10)=450 items  \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)","cbCaichpuDDDL5hN","https://ap.wps.com/l/cbCaichpuDDDL5hN","pdf",3871309,"English","# Mixed Practice\n## Key Skills and Problems\n### Ratios and Equivalent Ratios\n### Unit Rates and Fraction Unit Rates\n### Proportional Relationships and Constant of Proportionality\n### Equations and Solving Proportions\n## Challenge Problem","[{\"question\":\"What ratio forms are students asked to write in the first problem?\",\"answer\":\"Students write the ratio of red to blue in three forms: fraction, colon, and words.\"},{\"question\":\"How do students determine whether a relationship is proportional?\",\"answer\":\"They use the graph or point set to check whether the relationship has a constant of proportionality, typically requiring y/x to be constant and checking that the proportional line passes through the origin.\"},{\"question\":\"What does the challenge problem require students to do?\",\"answer\":\"It asks for the unit rate (items per hour), the time needed to produce a larger number of items, and the number of items produced in a 10-hour shift, using equations based on y=kx.\"}]","Ratios, Rates, and Proportions - Mixed Review (A) | PDF",1790137841]