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Problems cover single- and multi-step equations with addition and multiplication, including walking and biking distances, leftover rope length, partial water usage in liters, cost of items, swim-team fractions of members, and theater seating fractions. Each item prompts a reasonableness check and then the correct missing value, serving as an answer key.",{"@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-466853/466853/",{"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-466853/466853.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":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does each question ask students to do?","Question",{"text":112,"@type":113},"Each item requires deciding whether a proposed answer is reasonable and then finding the missing value (the variable) using the given equation setup.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of math situations are included in the problems?",{"text":117,"@type":113},"The set uses real-world contexts like walking, biking, rope length, water poured, item costs, swim-team members, and theater seats, all translated into equations with addition or fractions.",{"name":119,"@type":110,"acceptedAnswer":120},"How are missing values found for addition and fraction relationships?",{"text":121,"@type":113},"Addition problems use an equation that combines the variable with the known amount to equal the total, while fraction problems set a fraction of the variable equal to a known count and solve for the 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},466853,1793030238,{"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":24,"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) Sarah walked 22.88 miles this week. She walked 6.99 miles on Monday. Use w + 6.99 = 22.88 to find the missing amount.\u003Cbr>A student says the answer is 29.87.\u003Cbr>Is that reasonable?   What is w?   |  | Answers\u003Cbr>1.    \u003Cbr>2.     |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) In the choir, 1⁄ 6 of the singers are new members. 6 singers are new. |  | 3.     |  |  |  |  |  |  |  |\n| Use ( 1⁄ 6)w = 6 to find the missing amount. A student says the answer is 36.\u003Cbr>Is that reasonable?   What is w?  \u003Cbr>3) A rope is 13.87 meters long. Mike has already used 1.84 meters of it.\u003Cbr>Use u + 1.84 = 13.87 to find the missing amount. A student says the answer is 15.71.\u003Cbr>Is that reasonable?   What is u?   |  | 4.    \u003Cbr>5.    \u003Cbr>6.    \u003Cbr>7.     |  |  |  |  |  |  |  |\n| 4) Emily biked 13.82 miles this week. She biked 1.83 miles on Monday.\u003Cbr>Use d + 1.83 = 13.82 to find the missing amount. A student says the answer is 11.99.\u003Cbr>Is that reasonable?   What is d?   |  | 8.     |  |  |  |  |  |  |  |\n| 5) A hat and a scarf cost 14.78 dollars together. The scarf cost 1.22 dollars.\u003Cbr>Use h + 1.22 = 14.78 to find the missing amount. A student says the answer is 16.\u003Cbr>Is that reasonable?   What is h?   |  |  |  |  |  |  |  |  |  |\n| 6) On the swim team, 1⁄ 2 of the members swim freestyle. 6 members swim freestyle.\u003Cbr>Use ( 1⁄ 2)r = 6 to find the missing amount. |  |  |  |  |  |  |  |  |  |\n| A student says the answer is 12.\u003Cbr>Is that reasonable?   What is r?  \u003Cbr>7) A jug holds 18.56 liters of water. Maria has already poured in 6.15 liters. Use j + 6.15 = 18.56 to find the missing amount.\u003Cbr>A student says the answer is 24.71. Is that reasonable?   What is j?   |  |  |  |  |  |  |  |  |  |\n| 8) 1⁄ 6 of the seats in the theater are filled, which is 12 seats.\u003Cbr>Use ( 1⁄ 6)e = 12 to find the missing amount. A student says the answer is 72.\u003Cbr>Is that reasonable?   What is e?   |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 7)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 7)[ 7](Math www.CommonCoreSheets.com 7)  \nDeciding if a Solution is Reasonable  \nName: Answer Key  \n\n| Decide whether each answer is reasonable, then give the correct value.\u003Cbr>1) Sarah walked 22.88 miles this week. She walked 6.99 miles on Monday. Use w + 6.99 = 22.88 to find the missing amount.\u003Cbr>A student says the answer is 29.87.\u003Cbr>Is that reasonable?   What is w?   |  | Answers\u003Cbr>[1. ](1.  no)[ no](1.  no)   15.89 \u003Cbr>2.  yes 36  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) In the choir, 1⁄ 6 of the singers are new members. 6 singers are new. |  | 3. |  | no |  |  | 12.03 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| Use ( 1⁄ 6)w = 6 to find the missing amount. A student says the answer is 36.\u003Cbr>Is that reasonable?   What is w?  \u003Cbr>3) A rope is 13.87 meters long. Mike has already used 1.84 meters of it.\u003Cbr>Use u + 1.84 = 13.87 to find the missing amount. A student says the answer is 15.71.\u003Cbr>Is that reasonable?   What is u?   |  | 4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7. |  | no yes\u003Cbr>yes\u003Cbr> no  |  |  | 11.99 |  |  |\n|  |  |  |  |  |  |  | 13.56 |  |  |\n|  |  |  |  |  |  |  | 12 |  |  |\n|  |  |  |  |  |  |  | 12.41 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 4) Emily biked 13.82 miles this week. She biked 1.83 miles on Monday.\u003Cbr>Use d + 1.83 = 13.82 to find the missing amount. A student says the answer is 11.99.\u003Cbr>Is that reasonable?   What is d?   |  | 8. |  |  yes  |  |  | 72 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 5) A hat and a scarf cost 14.78 dollars together. The scarf cost 1.22 dollars.\u003Cbr>Use h + 1.22 = 14.78 to find the missing amount. A student says the answer is 16.\u003Cbr>Is that reasonable?   What is h?   |  |  |  |  |  |  |  |  |  |\n| 6) On the swim team, 1⁄ 2 of the members swim freestyl","cbCaibh1G6NXF27O","https://ap.wps.com/l/cbCaibh1G6NXF27O","pdf",76308,"English","# Decide whether each answer is reasonable\n## Problem set 1 through 8","[{\"question\":\"What does each question ask students to do?\",\"answer\":\"Each item requires deciding whether a proposed answer is reasonable and then finding the missing value (the variable) using the given equation setup.\"},{\"question\":\"What types of math situations are included in the problems?\",\"answer\":\"The set uses real-world contexts like walking, biking, rope length, water poured, item costs, swim-team members, and theater seats, all translated into equations with addition or fractions.\"},{\"question\":\"How are missing values found for addition and fraction relationships?\",\"answer\":\"Addition problems use an equation that combines the variable with the known amount to equal the total, while fraction problems set a fraction of the variable equal to a known count and solve for the variable.\"}]","Deciding if a Solution is Reasonable - Answer Key | PDF",1790771950]