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Each item presents a real-world context (beadwork, plants, animals, players, marbles, walking, cost, jogging), a fraction-based relationship, and the student’s proposed value. The key determines whether the proposed answer is reasonable and provides the correct variable value for each scenario, covering questions 1 through 8.",{"@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/466835/",{"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/466835.png","ImageObject",300,407,{"name":92,"@type":93},"Oliver","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you determine whether a proposed answer is reasonable?","Question",{"text":112,"@type":113},"Use the given equation based on the fraction or relationship, then compare the correct computed value with the student’s proposed answer.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of problems are included in questions 1–8?",{"text":117,"@type":113},"The items use fraction relationships and basic addition for missing variables, often modeled with real-life contexts like costs, distances, and counts.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can the correct values be found?",{"text":121,"@type":113},"The Answer Key section lists which student answers are reasonable or not and provides the correct variable results for each question.","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},466835,1792878306,{"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":19,"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) Bianca finished 1⁄ 2 of her beadwork on Sunday, which was 44 beads.\u003Cbr>Use ( 1⁄ 2)u = 44 to find the missing amount.\u003Cbr>A student says the answer is 22.\u003Cbr>Is that reasonable?   What is u?   |  | Answers\u003Cbr>1.    \u003Cbr>2.     |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A garden has 13.27 plants in total. There are 3.31 tomato plants.\u003Cbr>Use g + 3.31 = 13.27 to find the missing amount. A student says the answer is 9.96.\u003Cbr>Is that reasonable?   What is g?   |  | 3.    \u003Cbr>4.     |  |  |  |  |  |  |  |\n| 3) At the shelter, 1⁄ 2 of the animals are dogs. 32 of them are dogs.\u003Cbr>Use ( 1⁄ 2)a = 32 to find the missing amount. A student says the answer is 64.\u003Cbr>Is that reasonable?   What is a?   |  | 5.    \u003Cbr>6.    \u003Cbr>7.     |  |  |  |  |  |  |  |\n| 4) In the chess club, 1⁄ 6 of the players ride the bus home. 12 players ride the bus.\u003Cbr>Use ( 1⁄ 6)z = 12 to find the missing amount. A student says the answer is 2.\u003Cbr>Is that reasonable?   What is z?   |  | 8.     |  |  |  |  |  |  |  |\n| 5) 2⁄ 3 of the marbles in the jar are blue, which is 60 marbles.\u003Cbr>Use ( 2⁄ 3)y = 60 to find the missing amount. A student says the answer is 90.\u003Cbr>Is that reasonable?   What is y?   |  |  |  |  |  |  |  |  |  |\n| 6) In the science club, 1⁄ 2 of the students walk to school. 22 students walk.\u003Cbr>Use ( 1⁄ 2)s = 22 to find the missing amount. A student says the answer is 11.\u003Cbr>Is that reasonable?   What is s?   |  |  |  |  |  |  |  |  |  |\n| 7) A cake and a candle cost 15.07 dollars together. The candle cost 1.71 dollars. Use l + 1.71 = 15.07 to find the missing amount.\u003Cbr>A student says the answer is 13.36. Is that reasonable?   What is l?   |  |  |  |  |  |  |  |  |  |\n| 8) Cody jogged 11.3 kilometers over the week. He jogged 5.28 kilometers on Friday.\u003Cbr>Use r + 5.28 = 11.3 to find the missing amount. A student says the answer is 16.58.\u003Cbr>Is that reasonable?   What is r?   |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 9)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9)[ 9](Math www.CommonCoreSheets.com 9)  \nDeciding if a Solution is Reasonable  \nName: Answer Key  \n\n| Decide whether each answer is reasonable, then give the correct value.\u003Cbr>1) Bianca finished 1⁄ 2 of her beadwork on Sunday, which was 44 beads.\u003Cbr>Use ( 1⁄ 2)u = 44 to find the missing amount.\u003Cbr>A student says the answer is 22.\u003Cbr>Is that reasonable?   What is u?   |  | Answers\u003Cbr>[1. ](1.  no)[ no](1.  no)   88 \u003Cbr>2.  yes 9.96  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A garden has 13.27 plants in total. There are 3.31 tomato plants.\u003Cbr>Use g + 3.31 = 13.27 to find the missing amount. A student says the answer is 9.96.\u003Cbr>Is that reasonable?   What is g?   |  | 3.\u003Cbr>4. |  | yes |  | 64\u003Cbr> 72  |  |  |  |\n|  |  |  |  | no |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 3) At the shelter, 1⁄ 2 of the animals are dogs. 32 of them are dogs.\u003Cbr>Use ( 1⁄ 2)a = 32 to find the missing amount. A student says the answer is 64.\u003Cbr>Is that reasonable?   What is a?   |  | 5.\u003Cbr>6.\u003Cbr>7. |  | yes |  | 90\u003Cbr>44 13.36 |  |  |  |\n|  |  |  |  | no |  |  |  |  |  |\n|  |  |  |  | yes |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 4) In the chess club, 1⁄ 6 of the players ride the bus home. 12 players ride the bus.\u003Cbr>Use ( 1⁄ 6)z = 12 to find the missing amount. A student says the answer is 2.\u003Cbr>Is that reasonable?   What is z?   |  | 8. |  | no |  |  6.02  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 5) 2⁄ 3 of the marbles in the jar are blue, which is 60 marbles.\u003Cbr>Use ( 2⁄ 3)y = 60 to find the missing amount. A student says the answer is 90.\u003Cbr>Is that reasonable?   What is y?   |  |  |  |  |  |  |  |  |  |\n| 6) In the science club, 1⁄ 2 of the students walk to school. 22 students walk.\u003Cbr>","cbCaiiTB1EnV7Xsq","https://ap.wps.com/l/cbCaiiTB1EnV7Xsq","pdf",76776,"English","# Decide if each answer is reasonable\n## Fraction and addition/multiplication missing values (1-8)","[{\"question\":\"How do you determine whether a proposed answer is reasonable?\",\"answer\":\"Use the given equation based on the fraction or relationship, then compare the correct computed value with the student’s proposed answer.\"},{\"question\":\"What types of problems are included in questions 1–8?\",\"answer\":\"The items use fraction relationships and basic addition for missing variables, often modeled with real-life contexts like costs, distances, and counts.\"},{\"question\":\"Where can the correct values be found?\",\"answer\":\"The Answer Key section lists which student answers are reasonable or not and provides the correct variable results for each question.\"}]","Deciding if a Solution is Reasonable - Answer Key | PDF",1790771922]