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Each problem asks the learner to decide if the relationship between X and Y is constant (proportional) or not, with tables containing positive and negative values and several different value patterns. The answer key provides the yes/no results and includes computed ratios to confirm proportionality or rule it out. Suitable for grade-level math assessment and review of proportional reasoning.",{"@graph":69,"@context":123},[70,84,106],{"@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-answer-key/480942/",{"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-answer-key/480942.png","ImageObject",300,407,{"name":92,"@type":93},"Blitz","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What does proportional mean in these X–Y tables?","Question",{"text":113,"@type":114},"The Y values are proportional to the X values if the ratio Y/X stays constant for the listed pairs. When the ratio changes across pairs, the table is not proportional.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How is proportionality checked using a table?",{"text":118,"@type":114},"Compute or compare the ratios Y/X for multiple rows. If all ratios match, the table is proportional (yes); otherwise it is not proportional (no).",{"name":120,"@type":111,"acceptedAnswer":121},"Why do the tables include negative numbers?",{"text":122,"@type":114},"Negative values test proportional relationships where the constant ratio may be negative. The proportionality decision still depends on whether Y/X remains the same across the table.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},480942,1790826669,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":41,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145},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 9 1 27 3 36 4 72 8\u003Cbr>2)\u003Cbr>\u003Cbr>X \u003Cbr>Y 80 -8 40 -4 20 -2 10 -1\u003Cbr>\u003Cbr>3)\u003Cbr>\u003Cbr>X \u003Cbr>Y 18 20 27 30 36 40 54 60\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 4)\u003Cbr>\u003Cbr>X \u003Cbr>Y -5 -4 -6 -3 -7 -2 -8 -1\u003Cbr>5)\u003Cbr>\u003Cbr>X \u003Cbr>Y -8 -10 -7 -9 -6 -8 -5 -7\u003Cbr>\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7)\u003Cbr>\u003Cbr>X \u003Cbr>Y -10 20 -5 10 -4 8 -3 6\u003Cbr>8)\u003Cbr>\u003Cbr>X \u003Cbr>Y -8 -40 -6 -30 -4 -20 -2 -10\u003Cbr>\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10)\u003Cbr>\u003Cbr>X \u003Cbr>Y 5 30 6 36 9 36 10 40\u003Cbr>11)\u003Cbr>\u003Cbr>X \u003Cbr>Y 9 3 16 4 49 7 64 8\u003Cbr>12)\u003Cbr>\u003Cbr>X \u003Cbr>Y 1 5 2 6 3 7 4 8\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1 | 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.  no)[ no](5.  no) \u003Cbr>[6](6).  yes \u003Cbr>7.  yes \u003Cbr>8.  yes \u003Cbr>9.  yes \u003Cbr>[10. ](10.  no)[ no](10.  no) \u003Cbr>[11. ](11.  no)[ no](11.  no)  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>4)\u003Cbr>7) | \u003Cbr>X \u003Cbr>Y 9 1 9.00 27 3 9.00 36 4 9.00 72 8 9.00\u003Cbr>\u003Cbr>X \u003Cbr>Y -5 -4 1.25 -6 -3 2.00 -7 -2 3.50 -8 -1 8.00\u003Cbr>\u003Cbr>X \u003Cbr>Y -10 20 -2.00 |  |  |  |  |  | 2) | \u003Cbr>X \u003Cbr>Y 80 -8 -10.00 40 -4 -10.00 20 -2 -10.00 10 -1 -10.00 |  |  |  |  | 3) | \u003Cbr>X \u003Cbr>Y 18 20 0.90 27 30 0.90 36 40 0.90 54 60 0.90 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 5) | \u003Cbr>X \u003Cbr>Y -8 -10 1.25 -7 -9 1.29 -6 -8 1.33 -5 -7 1.40 |  |  |  |  | 6) | \u003Cbr>X \u003Cbr>Y -10 -70 7.00 -9 -63 7.00 -5 -35 7.00 -1 -7 7.00 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 8) | \u003Cbr>X \u003Cbr>Y -8 -40 0.20 |  |  |  |  | 9) | \u003Cbr>X \u003Cbr>Y 32 -24 -1.33 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  | -5 | 10 | -2.00 |  |  |  |  | -6 | -30 | 0.20 |  |  |  | 24 | -18 | -1.33 |  |  |  |  | [12. ](12.  no)[ no](12.  no)  |  |  |  |  |  |\n|  |  | -4 | 8 | -2.00 |  |  |  |  | -4 | -20 | 0.20 |  |  |  | 16 | -12 | -1.33 |  |  |  |  |  |  |  |  |  |  |\n| -3 6 -2.00\u003Cbr>-2 -10 0.20\u003Cbr>8 -6 -1.33\u003Cbr>10)\u003Cbr>\u003Cbr>X \u003Cbr>Y 5 30 6.00 6 36 6.00 9 36 4.00 10 40 4.00\u003Cbr>11)\u003Cbr>\u003Cbr>X \u003Cbr>Y 9 3 3.00 16 4 4.00 49 7 7.00 64 8 8.00\u003Cbr>12)\u003Cbr>\u003Cbr>X \u003Cbr>Y 1 5 5.00 2 6 3.00 3 7 2.33 4 8 2.00 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math |  |  |  |  | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) |  |  |  |  |  |  | 1 |  | 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 9 1 27 3 36 4 72 8\u003Cbr>2)\u003Cbr>\u003Cbr>X \u003Cbr>Y 80 -8 40 -4 20 -2 10 -1\u003Cbr>\u003Cbr>3)\u003Cbr>\u003Cbr>X \u003Cbr>Y 18 20 27 30 36 40 54 60\u003Cbr>|  |\n| 4)\u003Cbr>\u003Cbr>X \u003Cbr>Y -5 -4 -6 -3 -7 -2 -8 -1\u003Cbr>5)\u003Cbr>\u003Cbr>X \u003Cbr>Y -8 -10 -7 -9 -6 -8 -5 -7\u003Cbr>\u003Cbr>|  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \n1-6  83  67  50  33  17  0   \nDetermining Proportionality with Tables  \nName:  \n\n| Determine if the values in the table are proportional (","cbCaiiIblsxGMXnT","https://ap.wps.com/l/cbCaiiIblsxGMXnT","pdf",711746,"English","# Determine if the values in the table are proportional (yes) or not (no)\n## Problems 1-12\n## Answer key","[{\"question\":\"What does proportional mean in these X–Y tables?\",\"answer\":\"The Y values are proportional to the X values if the ratio Y/X stays constant for the listed pairs. When the ratio changes across pairs, the table is not proportional.\"},{\"question\":\"How is proportionality checked using a table?\",\"answer\":\"Compute or compare the ratios Y/X for multiple rows. If all ratios match, the table is proportional (yes); otherwise it is not proportional (no).\"},{\"question\":\"Why do the tables include negative numbers?\",\"answer\":\"Negative values test proportional relationships where the constant ratio may be negative. The proportionality decision still depends on whether Y/X remains the same across the table.\"}]","Determining Proportionality with Tables - Answer Key | PDF",1790795867,76]