[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-464652-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-464652-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","writing-and-testing-an-inequality","Writing and Testing an Inequality","","Worksheet focused on writing and interpreting inequalities from real-life scenarios. Students define variables (p, n, w, g, z, b, k) and write the correct inequality to model conditions such as scoring at least a minimum, needing more than a stated amount, or staying below a safety limit. Each item then asks whether a given number of points, grams, pounds, goals, pies, books, logs, or miles satisfies the inequality’s requirement, reinforcing correct boundary handling.",{"@graph":14,"@context":72},[15,34,55],{"@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/writing-and-testing-an-inequality/464652/",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/writing-and-testing-an-inequality/464652.png","ImageObject",300,407,{"name":42,"@type":43},"Olivia Brown","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How do you decide which inequality symbol to use in each situation?","Question",{"text":62,"@type":63},"Use “greater than” or “greater than or equal to” for “at least” conditions, and “less than” or “less than or equal to” for “no more than” or “fewer than” conditions. Then match the symbol to whether the boundary value is allowed.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"What does it mean to “test” an inequality in this worksheet?",{"text":67,"@type":63},"Testing means substituting the given number for the variable and determining whether the inequality statement is true for that value.",{"name":69,"@type":60,"acceptedAnswer":70},"What kinds of real-life contexts are used to practice inequalities?",{"text":71,"@type":63},"The worksheet uses contexts like sports scoring awards, recipe ingredients, shelf weight limits, tournament goals, baking capacity, borrowing limits in a library, campfire safety, and hiking distance requirements.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},464652,1790768478,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":33,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":79,"read_time":110},16904993612988,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Writing and Testing an Inequality  \nName:  \n\n| Write an inequality for each situation, then answer the question.\u003Cbr>1) A basketball player must score at least 18 points to earn the award. Let p be the points scored.\u003Cbr>Inequality: p  \u003Cbr>Does scoring 16 points earn the award? |  | Answers\u003Cbr>1.  \u003Cbr>2.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A recipe needs more than 14 grams of flour. Let n be the number of grams of flour.\u003Cbr>Inequality: n  \u003Cbr>Does using 14 grams meet the recipe? |  | 3.  \u003Cbr>4.   |  |  |  |  |  |  |  |\n| 3) A shelf holds no more than 23 pounds. Let w be the weight on the shelf in pounds.\u003Cbr>Inequality: w  \u003Cbr>Is the shelf safe with 28 pounds on it? |  | 5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |  |  |\n| 4) A team needs more than 60 goals to win the tournament. Let g be the number of goals scored.\u003Cbr>Inequality: g  \u003Cbr>Can the team win with 57 goals? |  | 8.   |  |  |  |  |  |  |  |\n| 5) A pizza oven can only bake fewer than 50 pies an hour. Let z be the number of pies baked.\u003Cbr>Inequality: z  \u003Cbr>Can it bake 55 pies in an hour? |  |  |  |  |  |  |  |  |  |\n| 6) A library lets each person borrow no more than 44 books at a time. Let b be the number of books borrowed.\u003Cbr>Inequality: b  \u003Cbr>Is borrowing 44 books allowed? |  |  |  |  |  |  |  |  |  |\n| 7) A campfire ring is safe only with fewer than 25 logs at a time. Let k be the number of logs on the fire.\u003Cbr>Inequality: k  \u003Cbr>Is the fire safe with 25 logs? |  |  |  |  |  |  |  |  |  |\n| 8) A hiking club counts a trip as official when it covers at least 25 miles. Let z bethe miles hiked.\u003Cbr>Inequality: z  \u003Cbr>Is a hike of 22 miles a challenge? |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 4)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 4)[ 4](Math www.CommonCoreSheets.com 4)  \nWriting and Testing an Inequality  \nName: Answer Key  \n\n| Write an inequality for each situation, then answer the question.\u003Cbr>1) A basketball player must score at least 18 points to earn the award. Let p be the points scored.\u003Cbr>Inequality: p  \u003Cbr>Does scoring 16 points earn the award? |  | 1.\u003Cbr>2. |  |  | Answers\u003Cbr>p ≥ 18, no |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  | n > 14, no |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 2) A recipe needs more than 14 grams of flour. Let n be the number of grams of flour.\u003Cbr>Inequality: n  \u003Cbr>Does using 14 grams meet the recipe? |  | 3.\u003Cbr>4. |  |  | w ≤ 23, no |  |  |  |  |  |\n|  |  |  |  |  | g > 60, no |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 3) A shelf holds no more than 23 pounds. Let w be the weight on the shelf in pounds.\u003Cbr>Inequality: w  \u003Cbr>Is the shelf safe with 28 pounds on it? |  | 5.\u003Cbr>6.\u003Cbr>7. |  |  | z \u003C 50, no |  |  |  |  |  |\n|  |  |  |  |  | b ≤ 44, yes |  |  |  |  |  |\n|  |  |  |  |  | k \u003C 25, no |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 4) A team needs more than 60 goals to win the tournament. Let g be the number of goals scored.\u003Cbr>Inequality: g  \u003Cbr>Can the team win with 57 goals? |  | 8. |  |  | z ≥ 25, no |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 5) A pizza oven can only bake fewer than 50 pies an hour. Let z be the number of pies baked.\u003Cbr>Inequality: z  \u003Cbr>Can it bake 55 pies in an hour? |  |  |  |  |  |  |  |  |  |  |\n| 6) A library lets each person borrow no more than 44 books at a time. Let b be the number of books borrowed.\u003Cbr>Inequality: b  \u003Cbr>Is borrowing 44 books allowed? |  |  |  |  |  |  |  |  |  |  |\n| 7) A campfire ring is safe only with fewer than 25 logs at a time. Let k be the number of logs on the fire.\u003Cbr>Inequality: k  \u003Cbr>Is the fire safe with 25 logs? |  |  |  |  |  |  |  |  |  |  |\n| 8) A hiking club counts a trip as official when it covers at least 25 miles. Let z bethe miles hiked.\u003Cbr>Inequality: z  \u003Cbr>Is a hike of 22 miles a challenge? |  |  |  |  |  |  |  |  |  |","cbCaiv55rzWldsIM","https://ap.wps.com/l/cbCaiv55rzWldsIM","pdf",43026,"English","# Writing and Testing an Inequality\n## Inequalities for 1-8 Scenarios\n## Answer Key Checks","[{\"question\":\"How do you decide which inequality symbol to use in each situation?\",\"answer\":\"Use “greater than” or “greater than or equal to” for “at least” conditions, and “less than” or “less than or equal to” for “no more than” or “fewer than” conditions. Then match the symbol to whether the boundary value is allowed.\"},{\"question\":\"What does it mean to “test” an inequality in this worksheet?\",\"answer\":\"Testing means substituting the given number for the variable and determining whether the inequality statement is true for that value.\"},{\"question\":\"What kinds of real-life contexts are used to practice inequalities?\",\"answer\":\"The worksheet uses contexts like sports scoring awards, recipe ingredients, shelf weight limits, tournament goals, baking capacity, borrowing limits in a library, campfire safety, and hiking distance requirements.\"}]","Writing and Testing an Inequality | PDF"]