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Items include adding lengths and prices, subtracting allowance savings, solving fraction-based counts for marbles and birds, computing a tank water difference, and finding an unknown segment of a rope. Each problem provides an expression, a student’s claimed result, a reasonableness decision, and the correct 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/466845/",{"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/466845.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},"What does each problem ask students to do?","Question",{"text":112,"@type":113},"For each item, students decide whether a given answer is reasonable, then determine the correct missing value.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of math are included in the eight problems?",{"text":117,"@type":113},"The worksheet covers missing-number equations using addition/subtraction, unit/quantity comparisons, and fraction relationships such as (2/3)y = 42 and (1/2)u = 4.",{"name":119,"@type":110,"acceptedAnswer":120},"How is the answer key structured for the student’s claim?",{"text":121,"@type":113},"The key lists whether the student’s answer is reasonable (yes/no) and provides the correct value for the missing variable.","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},466845,1793030421,{"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 garden hose is 15.93 meters long. The first section is 3.35 meters long. Use d + 3.35 = 15.93 to find the missing amount.\u003Cbr>A student says the answer is 12.58.\u003Cbr>Is that reasonable?   What is d?   |  | Answers\u003Cbr>1.    \u003Cbr>2.     |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A puzzle and a marker cost 13.38 dollars together. The marker cost 6.23 dollars.\u003Cbr>Use g + 6.23 = 13.38 to find the missing amount. A student says the answer is 19.61.\u003Cbr>Is that reasonable?   What is g?   |  | 3.    \u003Cbr>4.    \u003Cbr>5. |  |  |  |  |  |  |  |\n| 3) George saved 18.07 dollars in all. He saved 2.27 dollars from his allowance.\u003Cbr>Use j + 2.27 = 18.07 to find the missing amount. A student says the answer is 15.8.\u003Cbr>Is that reasonable?   What is j?   |  | 6.    \u003Cbr>7.     |  |  |  |  |  |  |  |\n| 4) 2⁄ 3 of the marbles in the jar are blue, which is 42 marbles.\u003Cbr>Use ( 2⁄ 3)y = 42 to find the missing amount. A student says the answer is 28.\u003Cbr>Is that reasonable?   What is y?   |  | 8.     |  |  |  |  |  |  |  |\n| 5) 1⁄ 2 of the birds at the pond are ducks, which is 4 birds. Use ( 1⁄ 2)u = 4 to find the missing amount. A student says the answer is 8.\u003Cbr>Is that reasonable?   What is u?   |  |  |  |  |  |  |  |  |  |\n| 6) A fish tank holds 21.79 liters of water. 8.36 liters were added this morning. Use f + 8.36 = 21.79 to find the missing amount.\u003Cbr>A student says the answer is 30.15. Is that reasonable?   What is f?   |  |  |  |  |  |  |  |  |  |\n| 7) A rope is 12.07 feet long. One knotted piece is 6.25 feet long. Use z + 6.25 = 12.07 to find the missing amount. A student says the answer is 5.82.\u003Cbr>Is that reasonable?   What is z?   |  |  |  |  |  |  |  |  |  |\n| 8) A hat and a scarf cost 9.89 dollars together. The scarf cost 4.18 dollars.\u003Cbr>Use k + 4.18 = 9.89 to find the missing amount. A student says the answer is 14.07.\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 5)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5)[ 5](Math www.CommonCoreSheets.com 5)  \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 garden hose is 15.93 meters long. The first section is 3.35 meters long. Use d + 3.35 = 15.93 to find the missing amount.\u003Cbr>A student says the answer is 12.58.\u003Cbr>Is that reasonable?   What is d?   |  | Answers\u003Cbr>1.  yes   12.58 \u003Cbr>[2. ](2.  no)[ no](2.  no)   7.15  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A puzzle and a marker cost 13.38 dollars together. The marker cost 6.23 dollars. |  | 3. |  | yes |  |  | 15.8 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| Use g + 6.23 = 13.38 to find the missing amount. A student says the answer is 19.61.\u003Cbr>Is that reasonable?   What is g?  \u003Cbr>3) George saved 18.07 dollars in all. He saved 2.27 dollars from his allowance.\u003Cbr>Use j + 2.27 = 18.07 to find the missing amount. A student says the answer is 15.8.\u003Cbr>Is that reasonable?   What is j?   |  | 4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7. |  | no\u003Cbr>yes no yes |  |  | 63 |  |  |\n|  |  |  |  |  |  |  | 8 |  |  |\n|  |  |  |  |  |  |  | 13.43 |  |  |\n|  |  |  |  |  |  |  | 5.82 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 4) 2⁄ 3 of the marbles in the jar are blue, which is 42 marbles.\u003Cbr>Use ( 2⁄ 3)y = 42 to find the missing amount. A student says the answer is 28.\u003Cbr>Is that reasonable?   What is y?   |  | 8. |  |  no  |  |  | 5.71 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 5) 1⁄ 2 of the birds at the pond are ducks, which is 4 birds. Use ( 1⁄ 2)u = 4 to find the missing amount. A student says the answer is 8.\u003Cbr>Is that reasonable?   What is u?   |  |  |  |  |  |  |  |  |  |\n| 6) A fish tank holds 21.79 liters of water. 8.36 liters were added this m","cbCaihShTH1H4xtI","https://ap.wps.com/l/cbCaihShTH1H4xtI","pdf",76185,"English","# Decide whether each answer is reasonable\n## Problems 1-8","[{\"question\":\"What does each problem ask students to do?\",\"answer\":\"For each item, students decide whether a given answer is reasonable, then determine the correct missing value.\"},{\"question\":\"What types of math are included in the eight problems?\",\"answer\":\"The worksheet covers missing-number equations using addition/subtraction, unit/quantity comparisons, and fraction relationships such as (2/3)y = 42 and (1/2)u = 4.\"},{\"question\":\"How is the answer key structured for the student’s claim?\",\"answer\":\"The key lists whether the student’s answer is reasonable (yes/no) and provides the correct value for the missing variable.\"}]","Deciding if a Solution is Reasonable - Answer Key | PDF",1790771938]