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Students evaluate multiple table problems labeled with factors for X and Y, including cases with positive values, negative values, and fractions or ratios. An accompanying answer section verifies which tables are proportional by checking constant rate behavior across all listed X–Y pairs, supporting practice in proportional reasoning and ratio consistency.",{"@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/determining-proportionality-with-tables/480946/",{"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/determining-proportionality-with-tables/480946.png","ImageObject",300,407,{"name":92,"@type":93},"Blitz","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you decide whether a table is proportional?","Question",{"text":112,"@type":113},"Check whether all Y values change at the same constant rate relative to X. If the ratio Y/X stays the same for every X–Y pair, the table is proportional.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What do the X and Y entries represent in these tables?",{"text":117,"@type":113},"Each table lists X and the corresponding Y values. Proportionality depends on how Y relates to X across all the paired entries.",{"name":119,"@type":110,"acceptedAnswer":120},"Why are some problems not proportional even when signs change?",{"text":121,"@type":113},"Non-proportional tables fail the constant-rate test. Even if the values include negatives, proportionality still requires a consistent ratio for every pair.","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},480946,1793145479,{"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":81,"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},24464137899374,"https://us-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Determining Proportionality with Tables  \nName:  \n\n| Determine if the values in the table are proportional (yes) or not (no). |  |  |  |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>\u003Cbr>X \u003Cbr>Y 10 16 40 64 45 72 50 80\u003Cbr>2)\u003Cbr>\u003Cbr>X \u003Cbr>Y 27 -9 21 -7 15 -5 12 -4\u003Cbr>\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 4)\u003Cbr>\u003Cbr>X \u003Cbr>Y 2 -4 1 -3 0 -2 -1 -1\u003Cbr>5)\u003Cbr>\u003Cbr>X \u003Cbr>Y -32 -12 -24 -9 -16 -6 -8 -3\u003Cbr>6)\u003Cbr>\u003Cbr>X \u003Cbr>Y -4 -12 -3 -11 -2 -10 -1 -9\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7)\u003Cbr>\u003Cbr>X \u003Cbr>Y 32 -28 24 -21 16 -14 8 -7\u003Cbr>8)\u003Cbr>\u003Cbr>X \u003Cbr>Y 5 10 7 14 9 36 10 40\u003Cbr>\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10)\u003Cbr>\u003Cbr>X \u003Cbr>Y -5 1 -4 2 -3 3 -2 4\u003Cbr>11)\u003Cbr>\u003Cbr>X \u003Cbr>Y 9 1 10 2 11 3 12 4\u003Cbr>\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 6 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 |  | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |  |\n\nDetermining Proportionality with Tables  \nName: Answer Key  \n\n| Determine if the values in the table are proportional (yes) or not (no). |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.  yes \u003Cbr>2.  yes \u003Cbr>3.  yes \u003Cbr>[4. ](4.  no)[ no](4.  no) \u003Cbr>[5](5).  yes \u003Cbr>[6. ](6.  no)[ no](6.  no) \u003Cbr>[7](7).  yes \u003Cbr>[8. ](8.  no)[ no](8.  no) \u003Cbr>[9](9).  yes \u003Cbr>[10. ](10.  no)[ no](10.  no) \u003Cbr>[11. ](11.  no)[ no](11.  no)  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) | \u003Cbr>X \u003Cbr>Y 10 16 1.60 40 64 1.60 45 72 1.60 50 80 1.60 |  |  |  |  | 2) |  | \u003Cbr>X \u003Cbr>Y 27 -9 -3.00 21 -7 -3.00 15 -5 -3.00 12 -4 -3.00 |  |  |  |  | 3) | \u003Cbr>X \u003Cbr>Y 63 -9 -7.00 56 -8 -7.00 28 -4 -7.00 21 -3 -7.00 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 4) | \u003Cbr>X \u003Cbr>Y 2 -4 -0.50 1 -3 -0.33 0 -2 0.00 -1 -1 1.00 |  |  |  |  | 5) |  | \u003Cbr>X \u003Cbr>Y -32 -12 0.38 -24 -9 0.38 -16 -6 0.38 -8 -3 0.38 |  |  |  |  | 6) | \u003Cbr>X \u003Cbr>Y -4 -12 3.00 -3 -11 3.67 -2 -10 5.00 -1 -9 9.00 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | \u003Cbr>X \u003Cbr>Y 32 -28 -1.14 |  |  |  |  |  | 8) | \u003Cbr>X \u003Cbr>Y 5 10 2.00 |  |  |  |  | 9) | \u003Cbr>X \u003Cbr>Y 18 6 3.00 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  | 24 | -21 | -1.14 |  |  |  |  | 7 | 14 | 2.00 |  |  |  | 24 | 8 | 3.00 |  |  |  |  | [12. ](12.  no)[ no](12.  no)  |  |  |  |  |  |\n|  |  | 16 | -14 | -1.14 |  |  |  |  | 9 | 36 | 4.00 |  |  |  | 27 | 9 | 3.00 |  |  |  |  |  |  |  |  |  |  |\n| 8 -7 -1.14\u003Cbr>10 40 4.00\u003Cbr>30 10 3.00\u003Cbr>10)\u003Cbr>\u003Cbr>X \u003Cbr>Y -5 1 -5.00 -4 2 -2.00 -3 3 -1.00 -2 4 -0.50\u003Cbr>11)\u003Cbr>\u003Cbr>X \u003Cbr>Y 9 1 9.00 10 2 5.00 11 3 3.67 12 4 3.00\u003Cbr>12)\u003Cbr>\u003Cbr>X \u003Cbr>Y -6 -4 1.50 -7 -3 2.33 -8 -2 4.00 -9 -1 9.00 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math |  |  |  |  | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) |  |  |  |  |  |  | 6 |  | 1-10\u003Cbr>11-12 |  |  |  | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |\n\nDetermining Proportionality with Tables  \nName:  \n\n| Determine if the values in the table are proportional (yes) or not (no). | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |\n| --- | --- |\n| 1)\u003Cbr>\u003Cbr>X \u003Cbr>Y 10 16 40 64 45 72 50 80\u003Cbr>2)\u003Cbr>\u003Cbr>X \u003Cbr>Y 27 -9 21 -7 15 -5 12 -4\u003Cbr>\u003Cbr>|  |\n| 4)\u003Cbr>\u003Cbr>X \u003Cbr>Y 2 -4 1 -3 0 -2 -1 -1\u003Cbr>5)\u003Cbr>\u003Cbr>X \u003Cbr>Y -32 -12 -24 -9 -16 -6 -8 -3\u003Cbr>6)\u003Cbr>\u003Cbr>X \u003Cbr>Y -4 -12 -3 -11 -2 -10 -1 -9\u003Cbr>|  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n6  \n1-6  83  67  50  33  17  0","cbCailiP3Nzsuu1x","https://ap.wps.com/l/cbCailiP3Nzsuu1x","pdf",70771,"English","# Determine if tables are proportional\n## Tables 1) to 6)\n## Tables with X and Y values (including negatives)","[{\"question\":\"How do you decide whether a table is proportional?\",\"answer\":\"Check whether all Y values change at the same constant rate relative to X. If the ratio Y/X stays the same for every X–Y pair, the table is proportional.\"},{\"question\":\"What do the X and Y entries represent in these tables?\",\"answer\":\"Each table lists X and the corresponding Y values. Proportionality depends on how Y relates to X across all the paired entries.\"},{\"question\":\"Why are some problems not proportional even when signs change?\",\"answer\":\"Non-proportional tables fail the constant-rate test. Even if the values include negatives, proportionality still requires a consistent ratio for every pair.\"}]","Determining Proportionality with Tables | PDF",1790795873]