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Each item asks whether a proposed answer makes sense and then determines the missing value using equations like g + 7.85 = 15.69 or (1/4)y = 24.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/deciding-if-a-solution-is-reasonable/466844/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/deciding-if-a-solution-is-reasonable/466844.png","ImageObject",300,407,{"name":42,"@type":43},"Oliver","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",11,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What skills do these problems assess?","Question",{"text":63,"@type":64},"They assess whether a proposed numerical answer is reasonable and the ability to compute the missing variable using simple addition or fraction-based equations.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do you solve a problem with the form g + 7.85 = 15.69?",{"text":68,"@type":64},"Set the equation and subtract the known part from the total to find g, then compare it to the student’s proposed answer for reasonableness.",{"name":70,"@type":61,"acceptedAnswer":71},"How do you handle problems like (1/4)y = 24?",{"text":72,"@type":64},"Use multiplication to scale from the fraction to the whole: y = 24 × 4, then check whether the result matches the expected value and whether the student’s answer is reasonable.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},466844,1790884296,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":111},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 has 15.69 plants in total. There are 7.85 tomato plants. Use g + 7.85 = 15.69 to find the missing amount.\u003Cbr>A student says the answer is 7.84.\u003Cbr>Is that reasonable?   What is g?   |  | Answers\u003Cbr>1.    \u003Cbr>2.     |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) 1⁄ 4 of the marbles in the jar are blue, which is 24 marbles. |  | 3.     |  |  |  |  |  |  |  |\n| Use ( 1⁄ 4)y = 24 to find the missing amount. A student says the answer is 6.\u003Cbr>Is that reasonable?   What is y?  \u003Cbr>3) Janet baked 22.2 cookies for the sale. She frosted 4.24 of them.\u003Cbr>Use k + 4.24 = 22.2 to find the missing amount. A student says the answer is 26.44.\u003Cbr>Is that reasonable?   What is k?   |  | 4.    \u003Cbr>5.    \u003Cbr>6.    \u003Cbr>7.     |  |  |  |  |  |  |  |\n| 4) Frank saved 19.46 dollars in all. He saved 4.2 dollars last month.\u003Cbr>Use d + 4.2 = 19.46 to find the missing amount. A student says the answer is 15.26.\u003Cbr>Is that reasonable?   What is d?   |  | 8.     |  |  |  |  |  |  |  |\n| 5) In the art class, 3⁄ 4 of the students paint with watercolors. 72 students use watercolors.\u003Cbr>Use ( 3⁄ 4)u = 72 to find the missing amount. |  |  |  |  |  |  |  |  |  |\n| A student says the answer is 54.\u003Cbr>Is that reasonable?   What is u?  \u003Cbr>6) On the swim team, 1⁄ 2 of the members swim freestyle. 30 members swim freestyle.\u003Cbr>Use ( 1⁄ 2)r = 30 to find the missing amount. |  |  |  |  |  |  |  |  |  |\n| A student says the answer is 60.\u003Cbr>Is that reasonable?   What is r?  \u003Cbr>7) On the farm, 1⁄ 2 of the animals are chickens. There are 36 chickens.\u003Cbr>Use ( 1⁄ 2)f = 36 to find the missing amount. A student says the answer is 72.\u003Cbr>Is that reasonable?   What is f?   |  |  |  |  |  |  |  |  |  |\n| 8) A garden has 25.07 feet of fencing around it. One side uses 8.19 feet of fencing.\u003Cbr>Use g + 8.19 = 25.07 to find the missing amount. A student says the answer is 33.26.\u003Cbr>Is that reasonable?   What is g?   |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 3)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 3)[ 3](Math www.CommonCoreSheets.com 3)  \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 has 15.69 plants in total. There are 7.85 tomato plants. Use g + 7.85 = 15.69 to find the missing amount.\u003Cbr>A student says the answer is 7.84.\u003Cbr>Is that reasonable?   What is g?   |  | Answers\u003Cbr>1.  yes 7.84 \u003Cbr>[2. ](2.  no)[ no](2.  no)   96  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) 1⁄ 4 of the marbles in the jar are blue, which is 24 marbles. |  | 3. |  | no |  |  | 17.96 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| Use ( 1⁄ 4)y = 24 to find the missing amount. A student says the answer is 6.\u003Cbr>Is that reasonable?   What is y?  \u003Cbr>3) Janet baked 22.2 cookies for the sale. She frosted 4.24 of them.\u003Cbr>Use k + 4.24 = 22.2 to find the missing amount. A student says the answer is 26.44.\u003Cbr>Is that reasonable?   What is k?   |  | 4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7. |  | no yes\u003Cbr>yes\u003Cbr> yes  |  |  | 15.26 |  |  |\n|  |  |  |  |  |  |  | 96 |  |  |\n|  |  |  |  |  |  |  | 60 |  |  |\n|  |  |  |  |  |  |  | 72 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 4) Frank saved 19.46 dollars in all. He saved 4.2 dollars last month.\u003Cbr>Use d + 4.2 = 19.46 to find the missing amount. A student says the answer is 15.26.\u003Cbr>Is that reasonable?   What is d?   |  | 8. |  |  no  |  |  | 16.88 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 5) In the art class, 3⁄ 4 of the students paint with watercolors. 72 students use watercolors.\u003Cbr>Use ( 3⁄ 4)u = 72 to find the missing amount. |  |  |  |  |  |  |  |  |  |\n| A student says the answer is 54.\u003Cbr>Is that reasonable?   What is u?  \u003Cbr>6) On the swim team, 1⁄ 2 of the members swim f","cbCaiqkYGoV30in5","https://ap.wps.com/l/cbCaiqkYGoV30in5","pdf",76573,"English","# Decide if Answers Are Reasonable\n## Missing Values Using Addition and Fraction Equations","[{\"question\":\"What skills do these problems assess?\",\"answer\":\"They assess whether a proposed numerical answer is reasonable and the ability to compute the missing variable using simple addition or fraction-based equations.\"},{\"question\":\"How do you solve a problem with the form g + 7.85 = 15.69?\",\"answer\":\"Set the equation and subtract the known part from the total to find g, then compare it to the student’s proposed answer for reasonableness.\"},{\"question\":\"How do you handle problems like (1/4)y = 24?\",\"answer\":\"Use multiplication to scale from the fraction to the whole: y = 24 × 4, then check whether the result matches the expected value and whether the student’s answer is reasonable.\"}]","Deciding if a Solution is Reasonable | PDF",1790771938]