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Each item provides a real-world scenario such as rope length, clothing costs, choir membership, movie time, and puzzle completion, followed by the matching equation setup. The answer key indicates whether a student’s proposed value is correct and supplies the correct missing quantity, supporting quick reasoning about estimates versus exact results.",{"@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/466837/",{"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/466837.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":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you decide whether a student’s answer is reasonable?","Question",{"text":112,"@type":113},"Each problem provides an equation. The student’s proposed value is tested against the equation’s relationship, then marked as correct or not and compared to the correct missing amount.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of equations are used in these problems?",{"text":117,"@type":113},"The worksheet uses addition/subtraction relationships (e.g., e + 2.64 = 7.18) and fractional multiplications (e.g., (1/3)w = 21 or (3/4)f = 48) to find the missing variable.",{"name":119,"@type":110,"acceptedAnswer":120},"What does the answer key provide for problems 1–8?",{"text":121,"@type":113},"For each scenario, it indicates whether the student’s answer is right and gives the correct value for the missing quantity.","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},466837,1793075984,{"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":29,"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 rope is cut into pieces 2.64 feet long. The whole rope is 7.18 feet long. Use e + 2.64 = 7.18 to find the missing amount.\u003Cbr>A student says the answer is 4.54.\u003Cbr>Is that reasonable?   What is e?   |  | Answers\u003Cbr>1.    \u003Cbr>2.     |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A hat and a scarf cost 17.51 dollars together. The scarf cost 7.44 dollars.\u003Cbr>Use h + 7.44 = 17.51 to find the missing amount. A student says the answer is 24.95.\u003Cbr>Is that reasonable?   What is h?   |  | 3.    \u003Cbr>4.     |  |  |  |  |  |  |  |\n| 3) In the choir, 1⁄ 3 of the singers are new members. 21 singers are new.\u003Cbr>Use ( 1⁄ 3)w = 21 to find the missing amount. A student says the answer is 7.\u003Cbr>Is that reasonable?   What is w?   |  | 5.    \u003Cbr>6.    \u003Cbr>7.     |  |  |  |  |  |  |  |\n| 4) Isabel watched 3⁄ 4 of a movie before dinner, which was 48 minutes.\u003Cbr>Use ( 3⁄ 4)f = 48 to find the missing amount. A student says the answer is 64.\u003Cbr>Is that reasonable?   What is f?   |  | 8.     |  |  |  |  |  |  |  |\n| 5) A marker and an eraser cost 20 dollars together. The eraser cost 8.12 dollars.\u003Cbr>Use o + 8.12 = 20 to find the missing amount. A student says the answer is 11.88.\u003Cbr>Is that reasonable?   What is o?   |  |  |  |  |  |  |  |  |  |\n| 6) A hiking trail is 22.28 kilometers long. Nancy has already walked 7.79 kilometers.\u003Cbr>Use w + 7.79 = 22.28 to find the missing amount. A student says the answer is 30.07.\u003Cbr>Is that reasonable?   What is w?   |  |  |  |  |  |  |  |  |  |\n| 7) A rope is 17.09 feet long. One knotted piece is 7.04 feet long. Use z + 7.04 = 17.09 to find the missing amount. A student says the answer is 10.05.\u003Cbr>Is that reasonable?   What is z?   |  |  |  |  |  |  |  |  |  |\n| 8) Haley finished 1⁄ 2 of her puzzle, which was 40 pieces. Use ( 1⁄ 2)k = 40 to find the missing amount. A student says the answer is 20.\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 10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10)[ 10](Math www.CommonCoreSheets.com 10)  \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 rope is cut into pieces 2.64 feet long. The whole rope is 7.18 feet long. Use e + 2.64 = 7.18 to find the missing amount.\u003Cbr>A student says the answer is 4.54.\u003Cbr>Is that reasonable?   What is e?   |  | Answers\u003Cbr>1.  yes 4.54 \u003Cbr>[2. ](2.  no)[ no](2.  no)   10.07  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A hat and a scarf cost 17.51 dollars together. The scarf cost 7.44 dollars.\u003Cbr>Use h + 7.44 = 17.51 to find the missing amount. A student says the answer is 24.95.\u003Cbr>Is that reasonable?   What is h?   |  | [3. ](3.  no)[ no](3.  no) \u003Cbr>[4](4).  yes  |  |  |  |  |  | 63 |  |  |\n|  |  |  |  |  |  |  |  | 64 |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 3) In the choir, 1⁄ 3 of the singers are new members. 21 singers are new.\u003Cbr>Use ( 1⁄ 3)w = 21 to find the missing amount. A student says the answer is 7.\u003Cbr>Is that reasonable?   What is w?   |  | 5.  yes \u003Cbr>[6. ](6.  no)[ no](6.  no) \u003Cbr>[7](7).  yes  |  |  |  |  |  | 11.88 |  |  |\n|  |  |  |  |  |  |  |  | 14.49 |  |  |\n|  |  |  |  |  |  |  |  | 10.05 |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 4) Isabel watched 3⁄ 4 of a movie before dinner, which was 48 minutes.\u003Cbr>Use ( 3⁄ 4)f = 48 to find the missing amount. A student says the answer is 64.\u003Cbr>Is that reasonable?   What is f?   |  | [8. ](8.  no)[ no](8.  no)  |  |  |  |  |  | 80 |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 5) A marker and an eraser cost 20 dollars together. The eraser cost 8.12 dollars.\u003Cbr>Use o + 8.12 = 20 to find the missing amount. A student says the answer is 11.88.\u003Cbr>Is","cbCaidPTSJmlNNi5","https://ap.wps.com/l/cbCaidPTSJmlNNi5","pdf",76441,"English","# Decide whether each answer is reasonable\n## Problems 1-8 with missing values","[{\"question\":\"How do you decide whether a student’s answer is reasonable?\",\"answer\":\"Each problem provides an equation. The student’s proposed value is tested against the equation’s relationship, then marked as correct or not and compared to the correct missing amount.\"},{\"question\":\"What types of equations are used in these problems?\",\"answer\":\"The worksheet uses addition/subtraction relationships (e.g., e + 2.64 = 7.18) and fractional multiplications (e.g., (1/3)w = 21 or (3/4)f = 48) to find the missing variable.\"},{\"question\":\"What does the answer key provide for problems 1–8?\",\"answer\":\"For each scenario, it indicates whether the student’s answer is right and gives the correct value for the missing quantity.\"}]","Deciding if a Solution is Reasonable - Answer Key | PDF",1790771922]