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Each problem gives a real-world context (ropes, biking distances, a water tank, pizza and salad prices, a rope’s total length, apples and honey costs, and planted seeds) and an equation with a missing value. For every item, the learner decides “yes” or “no” for reasonableness and identifies the correct missing amount.",{"@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/466836/",{"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/466836.png","ImageObject",300,407,{"name":92,"@type":93},"Oliver","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","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},"What should students do for each problem in this worksheet?","Question",{"text":112,"@type":113},"Students decide whether the given answer is reasonable, then determine the correct missing value from the equation shown in the problem.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the missing values found in these questions?",{"text":117,"@type":113},"Each problem provides an equation using the missing variable (such as w, r, z, e, or c) and one or more given quantities to compute the correct value.",{"name":119,"@type":110,"acceptedAnswer":120},"Does the answer key include both “reasonable” judgments and the correct values?",{"text":121,"@type":113},"Yes. The answer key indicates whether each student answer is reasonable (yes/no) and provides the correct missing amount for each item.","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},466836,1793030061,{"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) A rope is cut into strands 6.53 yards long. The whole rope is 22.65 yards long. Use w + 6.53 = 22.65 to find the missing amount.\u003Cbr>A student says the answer is 16.12.\u003Cbr>Is that reasonable?   What is w?   |  | Answers\u003Cbr>1.    \u003Cbr>2.     |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) George rode his bike 17.48 miles on Saturday. He rode 6.28 miles in the morning.\u003Cbr>Use r + 6.28 = 17.48 to find the missing amount. A student says the answer is 23.76.\u003Cbr>Is that reasonable?   What is r?   |  | 3.    \u003Cbr>4.    \u003Cbr>5. |  |  |  |  |  |  |  |\n| 3) A water tank holds 6 gallons. 1⁄ 3 of the tank was filled, which was 6 gallons.\u003Cbr>Use ( 1⁄ 3)r = 6 to find the missing amount. A student says the answer is 2.\u003Cbr>Is that reasonable?   What is r?   |  | 6.    \u003Cbr>7.     |  |  |  |  |  |  |  |\n| 4) A pizza and a salad cost 21.06 dollars together. The salad cost 6.65 dollars.\u003Cbr>Use z + 6.65 = 21.06 to find the missing amount. A student says the answer is 14.41.\u003Cbr>Is that reasonable?   What is z?   |  | 8.     |  |  |  |  |  |  |  |\n| 5) A rope is cut into pieces 1.84 feet long. The whole rope is 11.68 feet long.\u003Cbr>Use e + 1.84 = 11.68 to find the missing amount. A student says the answer is 13.52.\u003Cbr>Is that reasonable?   What is e?   |  |  |  |  |  |  |  |  |  |\n| 6) A basket of apples and a jar of honey cost 18.2 dollars together. The jar of honey cost 6.54 dollars.\u003Cbr>Use c + 6.54 = 18.2 to find the missing amount. A student says the answer is 11.66.\u003Cbr>Is that reasonable?   What is c?   |  |  |  |  |  |  |  |  |  |\n| 7) Lana planted 16.15 seeds in the garden. She planted 3.84 seeds along the front\u003Cbr>row.\u003Cbr>Use e + 3.84 = 16.15 to find the missing amount. A student says the answer is 12.31.\u003Cbr>Is that reasonable?   What is e?   |  |  |  |  |  |  |  |  |  |\n| 8) Amy biked 17.57 miles this week. She biked 3.52 miles on Monday.\u003Cbr>Use c + 3.52 = 17.57 to find the missing amount. A student says the answer is 21.09.\u003Cbr>Is that reasonable?   What is c?   |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \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 strands 6.53 yards long. The whole rope is 22.65 yards long. Use w + 6.53 = 22.65 to find the missing amount.\u003Cbr>A student says the answer is 16.12.\u003Cbr>Is that reasonable?   What is w?   |  | Answers\u003Cbr>1.  yes   16.12 \u003Cbr>[2. ](2.  no)[ no](2.  no)   11.2  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) George rode his bike 17.48 miles on Saturday. He rode 6.28 miles in the morning.\u003Cbr>Use r + 6.28 = 17.48 to find the missing amount. A student says the answer is 23.76.\u003Cbr>Is that reasonable?   What is r?   |  | [3. ](3.  no)[ no](3.  no) \u003Cbr>[4](4).  yes \u003Cbr>[5.](5. no)[ no](5. no) |  |  |  |  |  | 18 |  |  |\n|  |  |  |  |  |  |  |  | 14.41 |  |  |\n|  |  |  |  |  |  |  |  | 9.84 |  |  |\n| 3) A water tank holds 6 gallons. 1⁄ 3 of the tank was filled, which was 6 gallons.\u003Cbr>Use ( 1⁄ 3)r = 6 to find the missing amount. A student says the answer is 2.\u003Cbr>Is that reasonable?   What is r?   |  | 6.  yes \u003Cbr>7.  yes  |  |  |  |  |  | 11.66 |  |  |\n|  |  |  |  |  |  |  |  | 12.31 |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 4) A pizza and a salad cost 21.06 dollars together. The salad cost 6.65 dollars.\u003Cbr>Use z + 6.65 = 21.06 to find the missing amount. A student says the answer is 14.41.\u003Cbr>Is that reasonable?   What is z?   |  | [8. ](8.  no)[ no](8.  no)  |  |  |  |  |  | 14.05 |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 5) A rope is cut into pieces 1.84 feet long. The whole rope is 11.68 feet long.\u003Cbr>U","cbCaibrHniCsDxlS","https://ap.wps.com/l/cbCaibrHniCsDxlS","pdf",76156,"English","# Decide Whether Each Answer Is Reasonable\n## Problem 1-8","[{\"question\":\"What should students do for each problem in this worksheet?\",\"answer\":\"Students decide whether the given answer is reasonable, then determine the correct missing value from the equation shown in the problem.\"},{\"question\":\"How are the missing values found in these questions?\",\"answer\":\"Each problem provides an equation using the missing variable (such as w, r, z, e, or c) and one or more given quantities to compute the correct value.\"},{\"question\":\"Does the answer key include both “reasonable” judgments and the correct values?\",\"answer\":\"Yes. The answer key indicates whether each student answer is reasonable (yes/no) and provides the correct missing amount for each item.\"}]","Deciding if a Solution is Reasonable - Answer Key | PDF",1790771922]