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Each problem presents a real-life scenario (seating capacity, food pricing, garden planting, playlist songs, savings, fencing, running distance, and chess club transport) and gives an equation with a variable. Students judge the reasonableness of an incorrect or alternative student response, then identify 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-466855/466855/",{"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-466855/466855.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 problem ask students to do?","Question",{"text":112,"@type":113},"For each scenario, students decide whether a given answer is reasonable and then determine the missing variable’s correct value using the provided equation.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What kinds of equations are used in the worksheet?",{"text":117,"@type":113},"The worksheet uses missing-value equations with variables, such as fraction-of quantities and addition to find an unknown amount.",{"name":119,"@type":110,"acceptedAnswer":120},"Why is the “answer key” section important?",{"text":121,"@type":113},"The answer key lists whether each student’s proposed answer is reasonable and provides the correct values for the missing variables.","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},466855,1793117080,{"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) 2⁄ 3 of the seats in the theater were filled, which was 42 people. Use ( 2⁄ 3)k = 42 to find the missing amount.\u003Cbr>A student says the answer is 63.\u003Cbr>Is that reasonable?   What is k?   |  | Answers\u003Cbr>1.    \u003Cbr>2.     |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A pizza slice and a soda cost 18.49 dollars together. The soda cost 5.53 dollars.\u003Cbr>Use f + 5.53 = 18.49 to find the missing amount. A student says the answer is 24.02.\u003Cbr>Is that reasonable?   What is f?   |  | 3.    \u003Cbr>4.    \u003Cbr>5. |  |  |  |  |  |  |  |\n| 3) Faye planted 9.91 seeds in the garden. She planted 5.54 seeds along the front\u003Cbr>row.\u003Cbr>Use e + 5.54 = 9.91 to find the missing amount. A student says the answer is 4.37.\u003Cbr>Is that reasonable?   What is e?   |  | 6.    \u003Cbr>7.     |  |  |  |  |  |  |  |\n| 4) 3⁄ 5 of the songs on the playlist are new, which was 30 songs.\u003Cbr>Use ( 3⁄ 5)z = 30 to find the missing amount. A student says the answer is 18.\u003Cbr>Is that reasonable?   What is z?   |  | 8.     |  |  |  |  |  |  |  |\n| 5) Mike saved 23.19 dollars in all. He saved 6.01 dollars last month.\u003Cbr>Use d + 6.01 = 23.19 to find the missing amount. A student says the answer is 17.18.\u003Cbr>Is that reasonable?   What is d?   |  |  |  |  |  |  |  |  |  |\n| 6) A garden has 24.49 feet of fencing around it. One side uses 7.12 feet of fencing.\u003Cbr>Use g + 7.12 = 24.49 to find the missing amount. A student says the answer is 31.61.\u003Cbr>Is that reasonable?   What is g?   |  |  |  |  |  |  |  |  |  |\n| 7) Robin ran 8.46 miles over the weekend. She ran 5.07 miles on Sunday.\u003Cbr>Use m + 5.07 = 8.46 to find the missing amount. A student says the answer is 3.39.\u003Cbr>Is that reasonable?   What is m?   |  |  |  |  |  |  |  |  |  |\n| 8) In the chess club, 1⁄ 2 of the players ride the bus home. 4 players ride the bus.\u003Cbr>Use ( 1⁄ 2)z = 4 to find the missing amount. A student says the answer is 2.\u003Cbr>Is that reasonable?   What is z?   |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 8)[ 8](Math www.CommonCoreSheets.com 8)  \nDeciding if a Solution is Reasonable  \nName: Answer Key  \n\n| Decide whether each answer is reasonable, then give the correct value.\u003Cbr>1) 2⁄ 3 of the seats in the theater were filled, which was 42 people. Use ( 2⁄ 3)k = 42 to find the missing amount.\u003Cbr>A student says the answer is 63.\u003Cbr>Is that reasonable?   What is k?   |  | Answers\u003Cbr>1.  yes 63 \u003Cbr>[2. ](2.  no)[ no](2.  no)   12.96  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A pizza slice and a soda cost 18.49 dollars together. The soda cost 5.53 dollars. |  | 3. |  | yes |  |  | 4.37 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| Use f + 5.53 = 18.49 to find the missing amount. A student says the answer is 24.02.\u003Cbr>Is that reasonable?   What is f?  \u003Cbr>3) Faye planted 9.91 seeds in the garden. She planted 5.54 seeds along the front\u003Cbr>row.\u003Cbr>Use e + 5.54 = 9.91 to find the missing amount. A student says the answer is 4.37.\u003Cbr>Is that reasonable?   What is e?   |  | 4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7. |  | no\u003Cbr>yes no yes |  |  | 50 |  |  |\n|  |  |  |  |  |  |  | 17.18 |  |  |\n|  |  |  |  |  |  |  | 17.37 |  |  |\n|  |  |  |  |  |  |  | 3.39 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 4) 3⁄ 5 of the songs on the playlist are new, which was 30 songs.\u003Cbr>Use ( 3⁄ 5)z = 30 to find the missing amount. A student says the answer is 18.\u003Cbr>Is that reasonable?   What is z?   |  | 8. |  |  no  |  |  | 8 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 5) Mike saved 23.19 dollars in all. He saved 6.01 dollars last month.\u003Cbr>Use d + 6.01 = 23.19 to find the missing amount. A student says the answer is 17.18.\u003Cbr>Is that reasonable?   What is d?   |  |  |  |  |  |  |  |  |  |\n| 6) A garden has 24.49 feet of fe","cbCaimSsdFosx8T8","https://ap.wps.com/l/cbCaimSsdFosx8T8","pdf",76437,"English","# Decide whether each answer is reasonable\n## Problem set 1-8 (theater, pizza, seeds, songs, savings, fencing, running, chess club)","[{\"question\":\"What does each problem ask students to do?\",\"answer\":\"For each scenario, students decide whether a given answer is reasonable and then determine the missing variable’s correct value using the provided equation.\"},{\"question\":\"What kinds of equations are used in the worksheet?\",\"answer\":\"The worksheet uses missing-value equations with variables, such as fraction-of quantities and addition to find an unknown amount.\"},{\"question\":\"Why is the “answer key” section important?\",\"answer\":\"The answer key lists whether each student’s proposed answer is reasonable and provides the correct values for the missing variables.\"}]","Deciding if a Solution is Reasonable - Answer Key | PDF",1790771951]