[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-466843-105":59,"doc-detail-466843-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","deciding-if-a-solution-is-reasonable-answer-key","Deciding if a Solution is Reasonable - Answer Key","","Worksheets answer key for a math practice set focused on determining whether a proposed numeric answer is reasonable and then finding the missing value using simple equations. Problems cover missing totals from part-whole relationships (lengths, fractions of a fence and seats), and missing costs or quantities from addition equations involving decimals. Each item checks a student’s claim for reasonableness and provides the correct resulting value.",{"@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/deciding-if-a-solution-is-reasonable-answer-key/466843/",{"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/deciding-if-a-solution-is-reasonable-answer-key/466843.png","ImageObject",300,407,{"name":92,"@type":93},"Oliver","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you decide if a proposed answer is reasonable?","Question",{"text":112,"@type":113},"Compute the correct missing value using the given equation and compare it with the student’s proposed result. If the values match, the answer is reasonable; otherwise, it is not.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What equation method is used for the cable, sandwich, and puzzle problems?",{"text":117,"@type":113},"They use addition equations of the form (unknown) + (given part) = (total), such as w + 1.53 = 15.46 for the cable.",{"name":119,"@type":110,"acceptedAnswer":120},"How are the fraction-based problems solved, like the fence and theater seats?",{"text":121,"@type":113},"They use equations where a fraction of the total equals the given amount, such as (1/2)a = 18 for the fence and (3/4)e = 24 for the theater seats.","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},466843,1792878305,{"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":81,"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},8796095461610,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Deciding if a Solution is Reasonable  \nName:  \n\n| Decide whether each answer is reasonable, then give the correct value.\u003Cbr>1) A cable is cut into pieces 1.53 feet long. The whole cable is 15.46 feet long. Use w + 1.53 = 15.46 to find the missing amount.\u003Cbr>A student says the answer is 16.99.\u003Cbr>Is that reasonable?   What is w?   |  | Answers\u003Cbr>1.    \u003Cbr>2.     |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) Victor painted 1⁄ 2 of the fence on Friday, which was 18 boards. |  | 3.     |  |  |  |  |  |  |  |\n| Use ( 1⁄ 2)a = 18 to find the missing amount. A student says the answer is 36.\u003Cbr>Is that reasonable?   What is a?  \u003Cbr>3) In the art club, 3⁄ 4 of the members paint. 60 members paint.\u003Cbr>Use ( 3⁄ 4)r = 60 to find the missing amount. A student says the answer is 80.\u003Cbr>Is that reasonable?   What is r?   |  | 4.    \u003Cbr>5.    \u003Cbr>6.    \u003Cbr>7.     |  |  |  |  |  |  |  |\n| 4) A sandwich and a drink cost 19.58 dollars together. The drink cost 6.01 dollars.\u003Cbr>Use c + 6.01 = 19.58 to find the missing amount. A student says the answer is 25.59.\u003Cbr>Is that reasonable?   What is c?   |  | 8.     |  |  |  |  |  |  |  |\n| 5) A puzzle and a marker cost 18.7 dollars together. The marker cost 4.16 dollars.\u003Cbr>Use g + 4.16 = 18.7 to find the missing amount. A student says the answer is 22.86.\u003Cbr>Is that reasonable?   What is g?   |  |  |  |  |  |  |  |  |  |\n| 6) Edward collected 15.8 stamps for his album. He got 2.98 of them from his uncle.\u003Cbr>Use y + 2.98 = 15.8 to find the missing amount. A student says the answer is 12.82.\u003Cbr>Is that reasonable?   What is y?   |  |  |  |  |  |  |  |  |  |\n| 7) Katie picked 13.91 pounds of berries. She picked 7.06 pounds in the morning.\u003Cbr>Use g + 7.06 = 13.91 to find the missing amount. A student says the answer is 20.97.\u003Cbr>Is that reasonable?   What is g?   |  |  |  |  |  |  |  |  |  |\n| 8) 3⁄ 4 of the seats in the theater are filled, which is 24 seats.\u003Cbr>Use ( 3⁄ 4)e = 24 to find the missing amount. A student says the answer is 32.\u003Cbr>Is that reasonable?   What is e?   |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 4)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 4)[ 4](Math www.CommonCoreSheets.com 4)  \nDeciding if a Solution is Reasonable  \nName: Answer Key  \n\n| Decide whether each answer is reasonable, then give the correct value.\u003Cbr>1) A cable is cut into pieces 1.53 feet long. The whole cable is 15.46 feet long. Use w + 1.53 = 15.46 to find the missing amount.\u003Cbr>A student says the answer is 16.99.\u003Cbr>Is that reasonable?   What is w?   |  | Answers\u003Cbr>[1. ](1.  no)[ no](1.  no)   13.93 \u003Cbr>2.  yes 36  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) Victor painted 1⁄ 2 of the fence on Friday, which was 18 boards. |  | 3. |  | yes |  |  | 80 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| Use ( 1⁄ 2)a = 18 to find the missing amount. A student says the answer is 36.\u003Cbr>Is that reasonable?   What is a?  \u003Cbr>3) In the art club, 3⁄ 4 of the members paint. 60 members paint.\u003Cbr>Use ( 3⁄ 4)r = 60 to find the missing amount. A student says the answer is 80.\u003Cbr>Is that reasonable?   What is r?   |  | 4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7. |  | no yes\u003Cbr>no\u003Cbr> no  |  |  | 13.57 |  |  |\n|  |  |  |  |  |  |  | 14.54 |  |  |\n|  |  |  |  |  |  |  | 12.82 |  |  |\n|  |  |  |  |  |  |  | 6.85 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 4) A sandwich and a drink cost 19.58 dollars together. The drink cost 6.01 dollars.\u003Cbr>Use c + 6.01 = 19.58 to find the missing amount. A student says the answer is 25.59.\u003Cbr>Is that reasonable?   What is c?   |  | 8. |  |  yes  |  |  | 32 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 5) A puzzle and a marker cost 18.7 dollars together. The marker cost 4.16 dollars.\u003Cbr>Use g + 4.16 = 18.7 to find the missing amount. A student says the answer is 22.86.\u003Cbr>Is that reasonable?   What is g?   |  |  |  |  |  |  |  |  |  |\n| 6) Edward collected 15.8","cbCain2VJGNLoiPU","https://ap.wps.com/l/cbCain2VJGNLoiPU","pdf",76478,"English","# Problems\n## Missing value with addition equations\n## Missing value using fractions of totals","[{\"question\":\"How do you decide if a proposed answer is reasonable?\",\"answer\":\"Compute the correct missing value using the given equation and compare it with the student’s proposed result. If the values match, the answer is reasonable; otherwise, it is not.\"},{\"question\":\"What equation method is used for the cable, sandwich, and puzzle problems?\",\"answer\":\"They use addition equations of the form (unknown) + (given part) = (total), such as w + 1.53 = 15.46 for the cable.\"},{\"question\":\"How are the fraction-based problems solved, like the fence and theater seats?\",\"answer\":\"They use equations where a fraction of the total equals the given amount, such as (1/2)a = 18 for the fence and (3/4)e = 24 for the theater seats.\"}]","Deciding if a Solution is Reasonable - Answer Key | PDF",1790771938]