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Each problem pairs real-world contexts (reading pages, food and drink costs, stamp collections, savings, bike mileage, garden plants, swimming laps, and book counts) with equations using variables and decimals or fractions. An answer check section lists whether the given response is reasonable and supplies the correct value for the missing variable.",{"@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/466846/",{"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/466846.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},"What is the task in each problem on the worksheet?","Question",{"text":112,"@type":113},"For each scenario, decide whether a given student answer is reasonable, then find the missing value using the provided equation.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the missing values calculated?",{"text":117,"@type":113},"Each item provides an equation relating the variable to known quantities; substitute the values and solve for the variable.",{"name":119,"@type":110,"acceptedAnswer":120},"What kinds of situations are included in the problems?",{"text":121,"@type":113},"The worksheet uses everyday contexts such as reading portions of a book, costs of items, collecting stamps, saving money, riding a bike, planting gardens, swimming laps, and counting books on a shelf.","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},466846,1793075620,{"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) Haley read 1⁄ 3 of her book on Saturday, which was 18 pages.\u003Cbr>Use ( 1⁄ 3)p = 18 to find the missing amount.\u003Cbr>A student says the answer is 54.\u003Cbr>Is that reasonable?   What is p?   |  | Answers\u003Cbr>1.    \u003Cbr>2.     |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A sandwich and a drink cost 16.97 dollars together. The drink cost 7.37 dollars.\u003Cbr>Use k + 7.37 = 16.97 to find the missing amount. A student says the answer is 24.34.\u003Cbr>Is that reasonable?   What is k?   |  | 3.    \u003Cbr>4.     |  |  |  |  |  |  |  |\n| 3) Cody collected 11.31 stamps in his album. 6.1 of them are from other countries.\u003Cbr>Use a + 6.1 = 11.31 to find the missing amount. A student says the answer is 5.21.\u003Cbr>Is that reasonable?   What is a?   |  | 5.    \u003Cbr>6.    \u003Cbr>7.     |  |  |  |  |  |  |  |\n| 4) Will saved 9.68 dollars in all. He saved 6.43 dollars from his allowance. Use j + 6.43 = 9.68 to find the missing amount.\u003Cbr>A student says the answer is 16.11. Is that reasonable?   What is j?   |  | 8.     |  |  |  |  |  |  |  |\n| 5) Kaleb rode his bike 14.56 miles on Saturday. He rode 7.55 miles in the morning.\u003Cbr>Use r + 7.55 = 14.56 to find the missing amount. A student says the answer is 7.01.\u003Cbr>Is that reasonable?   What is r?   |  |  |  |  |  |  |  |  |  |\n| 6) Vanessa planted 1⁄ 5 of her garden with tomatoes, which was 10 plants.\u003Cbr>Use ( 1⁄ 5)j = 10 to find the missing amount. A student says the answer is 2.\u003Cbr>Is that reasonable?   What is j?   |  |  |  |  |  |  |  |  |  |\n| 7) Olivia swam 24.45 laps this week. She swam 7.49 laps on Friday.\u003Cbr>Use k + 7.49 = 24.45 to find the missing amount. A student says the answer is 16.96.\u003Cbr>Is that reasonable?   What is k?   |  |  |  |  |  |  |  |  |  |\n| 8) A shelf holds 19.87 books. 8.33 of them are paperbacks. Use k + 8.33 = 19.87 to find the missing amount. A student says the answer is 28.2.\u003Cbr>Is that reasonable?   What is k?   |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2)  \nDeciding if a Solution is Reasonable  \nName: Answer Key  \n\n| Decide whether each answer is reasonable, then give the correct value.\u003Cbr>1) Haley read 1⁄ 3 of her book on Saturday, which was 18 pages.\u003Cbr>Use ( 1⁄ 3)p = 18 to find the missing amount.\u003Cbr>A student says the answer is 54.\u003Cbr>Is that reasonable?   What is p?   |  | Answers\u003Cbr>1.  yes 54 \u003Cbr>[2. ](2.  no)[ no](2.  no)   9.6  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A sandwich and a drink cost 16.97 dollars together. The drink cost 7.37 dollars.\u003Cbr>Use k + 7.37 = 16.97 to find the missing amount. A student says the answer is 24.34.\u003Cbr>Is that reasonable?   What is k?   |  | 3.  yes \u003Cbr>[4. ](4.  no)[ no](4.  no)  |  |  |  |  |  | 5.21 |  |  |\n|  |  |  |  |  |  |  |  | 3.25 |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 3) Cody collected 11.31 stamps in his album. 6.1 of them are from other countries.\u003Cbr>Use a + 6.1 = 11.31 to find the missing amount. A student says the answer is 5.21.\u003Cbr>Is that reasonable?   What is a?   |  | 5.  yes \u003Cbr>[6. ](6.  no)[ no](6.  no) \u003Cbr>[7](7).  yes  |  |  |  |  |  | 7.01 |  |  |\n|  |  |  |  |  |  |  |  | 50 |  |  |\n|  |  |  |  |  |  |  |  | 16.96 |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 4) Will saved 9.68 dollars in all. He saved 6.43 dollars from his allowance. Use j + 6.43 = 9.68 to find the missing amount.\u003Cbr>A student says the answer is 16.11. Is that reasonable?   What is j?   |  | [8. ](8.  no)[ no](8.  no)  |  |  |  |  |  | 11.54 |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 5) Kaleb rode his bike 14.56 miles on Saturday. He rode 7.55 miles in the morning.\u003Cbr>Use r + 7.55 = 14.56 to find the missing amount. A student says the answer is 7.01","cbCairimearXreqg","https://ap.wps.com/l/cbCairimearXreqg","pdf",76336,"English","# Problems 1-8\n## Missing Value Equations\n## Reasonableness of Student Answers","[{\"question\":\"What is the task in each problem on the worksheet?\",\"answer\":\"For each scenario, decide whether a given student answer is reasonable, then find the missing value using the provided equation.\"},{\"question\":\"How are the missing values calculated?\",\"answer\":\"Each item provides an equation relating the variable to known quantities; substitute the values and solve for the variable.\"},{\"question\":\"What kinds of situations are included in the problems?\",\"answer\":\"The worksheet uses everyday contexts such as reading portions of a book, costs of items, collecting stamps, saving money, riding a bike, planting gardens, swimming laps, and counting books on a shelf.\"}]","Deciding if a Solution is Reasonable - Answer Key | PDF",1790771938]