[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-466849-105":59,"doc-detail-466849-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","deciding-if-a-solution-is-reasonable-answer-key-466849","Deciding if a Solution is Reasonable - Answer Key","","Practice set for deciding whether given numerical answers are reasonable in missing-value word problems. Each item provides a scenario with quantities, a relevant equation using variables, and a student’s proposed answer. Learners determine if the proposed value is reasonable and identify the correct missing value, covering addition and subtraction, fraction-of and part-whole relationships, and total versus remainder situations. The answer key supplies correctness judgments and values for items 1 through 8.",{"@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-466849/466849/",{"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-466849/466849.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":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you decide whether a student’s answer is reasonable?","Question",{"text":112,"@type":113},"Use the given equation (for example, l + 7.82 = 18.92) to compute the missing value and check whether the student’s proposed number matches the correct result.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What kinds of missing-value relationships appear in these problems?",{"text":117,"@type":113},"The set includes addition/subtraction situations, and fraction-based relationships such as “1/4 of the members” or “1/2 of a movie,” where the total is used to find the missing amount.",{"name":119,"@type":110,"acceptedAnswer":120},"What information does each problem provide besides the student’s answer?",{"text":121,"@type":113},"Each item includes a word scenario, an equation showing how the variable relates to the known quantities, and then a “Is that reasonable?” prompt asking for a reasonableness check and the correct variable value.","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},466849,1793075992,{"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 cake and a candle cost 18.92 dollars together. The candle cost 7.82 dollars. Use l + 7.82 = 18.92 to find the missing amount.\u003Cbr>A student says the answer is 11.1.\u003Cbr>Is that reasonable?   What is l?   |  | Answers\u003Cbr>1.    \u003Cbr>2.     |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) Frank collected 13.01 stamps in his album. 2.54 of them are from other countries. |  | 3.     |  |  |  |  |  |  |  |\n| Use a + 2.54 = 13.01 to find the missing amount. A student says the answer is 15.55.\u003Cbr>Is that reasonable?   What is a?  \u003Cbr>3) On the swim team, 1⁄ 4 of the members swim freestyle. 16 members swim freestyle. |  | 4.    \u003Cbr>5.    \u003Cbr>6.     |  |  |  |  |  |  |  |\n| Use ( 1⁄ 4)r = 16 to find the missing amount. A student says the answer is 4.\u003Cbr>Is that reasonable?   What is r?  \u003Cbr>4) Maria collected 9.99 shells at the beach. She collected 2.48 shells before noon.\u003Cbr>Use z + 2.48 = 9.99 to find the missing amount. A student says the answer is 7.51.\u003Cbr>Is that reasonable?   What is z?   |  | 7.    \u003Cbr>8.     |  |  |  |  |  |  |  |\n| 5) Janet watched 1⁄ 2 of a movie before dinner, which was 26 minutes.\u003Cbr>Use ( 1⁄ 2)f = 26 to find the missing amount. A student says the answer is 52.\u003Cbr>Is that reasonable?   What is f?   |  |  |  |  |  |  |  |  |  |\n| 6) Amy baked 21.68 muffins for the sale. She baked 8.18 of them with blueberries.\u003Cbr>Use z + 8.18 = 21.68 to find the missing amount. A student says the answer is 29.86.\u003Cbr>Is that reasonable?   What is z?   |  |  |  |  |  |  |  |  |  |\n| 7) A garden hose is cut into pieces 1.89 feet long. The whole hose is 10.87 feet long.\u003Cbr>Use g + 1.89 = 10.87 to find the missing amount. A student says the answer is 8.98.\u003Cbr>Is that reasonable?   What is g?   |  |  |  |  |  |  |  |  |  |\n| 8) Carol finished 1⁄ 2 of her beadwork on Sunday, which was 40 beads.\u003Cbr>Use ( 1⁄ 2)u = 40 to find the missing amount. A student says the answer is 20.\u003Cbr>Is that reasonable?   What is u?   |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6)[ 6](Math www.CommonCoreSheets.com 6)  \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 cake and a candle cost 18.92 dollars together. The candle cost 7.82 dollars. Use l + 7.82 = 18.92 to find the missing amount.\u003Cbr>A student says the answer is 11.1.\u003Cbr>Is that reasonable?   What is l?   |  | Answers\u003Cbr>1.  yes 11.1 \u003Cbr>[2. ](2.  no)[ no](2.  no)   10.47  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) Frank collected 13.01 stamps in his album. 2.54 of them are from other countries. |  | 3. |  | no |  |  | 64 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| Use a + 2.54 = 13.01 to find the missing amount. A student says the answer is 15.55.\u003Cbr>Is that reasonable?   What is a?  \u003Cbr>3) On the swim team, 1⁄ 4 of the members swim freestyle. 16 members swim freestyle. |  | 4.\u003Cbr>5.\u003Cbr>6. |  | yes\u003Cbr>yes\u003Cbr>no |  |  | 7.51 |  |  |\n|  |  |  |  |  |  |  | 52 |  |  |\n|  |  |  |  |  |  |  | 13.5 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| Use ( 1⁄ 4)r = 16 to find the missing amount. A student says the answer is 4.\u003Cbr>Is that reasonable?   What is r?  \u003Cbr>4) Maria collected 9.99 shells at the beach. She collected 2.48 shells before noon.\u003Cbr>Use z + 2.48 = 9.99 to find the missing amount. A student says the answer is 7.51.\u003Cbr>Is that reasonable?   What is z?   |  | 7.\u003Cbr>8. |  |  yes \u003Cbr> no  |  |  | 8.98 |  |  |\n|  |  |  |  |  |  |  | 80 |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 5) Janet watched 1⁄ 2 of a movie before dinner, which was 26 minutes.\u003Cbr>Use ( 1⁄ 2)f = 26 to find the missing amount. A student says the answer is 52.\u003Cbr>Is that reasonable?   What is f?   |  |  ","cbCaie05Le5xkf7w","https://ap.wps.com/l/cbCaie05Le5xkf7w","pdf",76609,"English","# Decide whether each answer is reasonable, then give the correct value\n## Item 1\n## Item 2\n## Item 3\n## Item 4\n## Item 5\n## Item 6\n## Item 7\n## Item 8","[{\"question\":\"How do you decide whether a student’s answer is reasonable?\",\"answer\":\"Use the given equation (for example, l + 7.82 = 18.92) to compute the missing value and check whether the student’s proposed number matches the correct result.\"},{\"question\":\"What kinds of missing-value relationships appear in these problems?\",\"answer\":\"The set includes addition/subtraction situations, and fraction-based relationships such as “1/4 of the members” or “1/2 of a movie,” where the total is used to find the missing amount.\"},{\"question\":\"What information does each problem provide besides the student’s answer?\",\"answer\":\"Each item includes a word scenario, an equation showing how the variable relates to the known quantities, and then a “Is that reasonable?” prompt asking for a reasonableness check and the correct variable value.\"}]","Deciding if a Solution is Reasonable - Answer Key | PDF",1790771945]