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Each item asks students to choose the equation whose solution set matches a given condition, such as having both a positive and negative value as possible x, or having only one specified value. The worksheet includes multiple-choice options involving x squared and x cubed and concludes with an answer key.",{"@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/examining-powers-and-bases-math-practice/465873/",{"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/examining-powers-and-bases-math-practice/465873.png","ImageObject",300,407,{"name":92,"@type":93},"Hazel","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":8},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do I decide which equation has both a positive and negative x value?","Question",{"text":112,"@type":113},"Use the required x values to determine which expression gives those values when substituted. For example, x^2 relates to squared results, while x^3 preserves the sign of x.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does it mean for an equation to have only one possible value of x?",{"text":117,"@type":113},"It means that, among the answer choices, only one equation will be satisfied by the specified x value and no other value in the expected range.",{"name":119,"@type":110,"acceptedAnswer":120},"Why are x^2 and x^3 treated differently in these problems?",{"text":121,"@type":113},"x^2 is nonnegative for real x and so it can correspond to both +x and -x in terms of magnitude. x^3 is sign-sensitive, so it distinguishes positive and negative x more directly.","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},465873,1790770204,{"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":8,"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":129,"read_time":39},137441390410,"https://ap-avatar.wpscdn.com/avatar/2000252f4ab5702993?_k=1776741390130283984","Examining Powers and Bases  \nName:  \n\n| Solve each problem.\u003Cbr>1) Which equation has both 10 and-10 asa possible value of x?\u003Cbr>A. x2 = 20\u003Cbr>B. x3 = 1000\u003Cbr>C. x3 = 20\u003Cbr>D. x2 = 100\u003Cbr>3) Which equation has only 7 as a possible value of x?\u003Cbr>A. x2 = 49\u003Cbr>B. x3 = 21\u003Cbr>C. x3 = 343\u003Cbr>D. x3 = 49\u003Cbr>5) Which equation has both 6 and-6 as a possible value of x?\u003Cbr>A. x2 = 36\u003Cbr>B. x3 = 216\u003Cbr>C. x2 = 216\u003Cbr>D. x3 = 12\u003Cbr>7) Which equation has both 5 and-5 as a possible value of x?\u003Cbr>A. x2 = 10\u003Cbr>B. x2 = 125\u003Cbr>C. x2 = 25\u003Cbr>D. x3 = 25\u003Cbr>9) Which equation has only 8 as a possible value of x?\u003Cbr>A. x3 = 24\u003Cbr>B. x3 = 512\u003Cbr>C. x3 = 64\u003Cbr>D. x2 = 64 | 2) Which equation has only 4 as a possible value of x?\u003Cbr>A. x3 = 12\u003Cbr>B. x3 = 64\u003Cbr>C. x2 = 16\u003Cbr>D. x2 = 64\u003Cbr>4) Which equation has both 8 and-8 as a possible value of x?\u003Cbr>A. x3 = 64\u003Cbr>B. x2 = 64\u003Cbr>C. x3 = 512\u003Cbr>D. x2 = 512\u003Cbr>6) Which equation has both 7 and-7 as a possible value of x?\u003Cbr>A. x2 = 14\u003Cbr>B. x2 = 343\u003Cbr>C. x3 = 49\u003Cbr>D. x2 = 49\u003Cbr>8) Which equation has only 9 as a possible value of x?\u003Cbr>A. x2 = 27\u003Cbr>B. x3 = 729\u003Cbr>C. x2 = 81\u003Cbr>D. x2 = 729\u003Cbr>10) Which equation has only 10 as a possible value of x?\u003Cbr>A. x2 = 30\u003Cbr>B. x3 = 30\u003Cbr>C. x3 = 1000\u003Cbr>D. x2 = 1000 |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-10 |  | 90 | 80 | 70 | 60 |  | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 5)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5)[ 5](Math www.CommonCoreSheets.com 5)  \nExamining Powers and Bases  \nName: Answer Key  \n\n| Solve each problem.\u003Cbr>1) Which equation has both 10 and-10 asa possible value of x?\u003Cbr>A. x2 = 20\u003Cbr>B. x3 = 1000\u003Cbr>C. x3 = 20\u003Cbr>D. x2 = 100\u003Cbr>3) Which equation has only 7 as a possible value of x?\u003Cbr>A. x2 = 49\u003Cbr>B. x3 = 21\u003Cbr>C. x3 = 343\u003Cbr>D. x3 = 49\u003Cbr>5) Which equation has both 6 and-6 as a possible value of x?\u003Cbr>A. x2 = 36\u003Cbr>B. x3 = 216\u003Cbr>C. x2 = 216\u003Cbr>D. x3 = 12\u003Cbr>7) Which equation has both 5 and-5 as a possible value of x?\u003Cbr>A. x2 = 10\u003Cbr>B. x2 = 125\u003Cbr>C. x2 = 25\u003Cbr>D. x3 = 25\u003Cbr>9) Which equation has only 8 as a possible value of x?\u003Cbr>A. x3 = 24\u003Cbr>B. x3 = 512\u003Cbr>C. x3 = 64\u003Cbr>D. x2 = 64 | 2) Which equation has only 4 as a possible value of x?\u003Cbr>A. x3 = 12\u003Cbr>B. x3 = 64\u003Cbr>C. x2 = 16\u003Cbr>D. x2 = 64\u003Cbr>4) Which equation has both 8 and-8 as a possible value of x?\u003Cbr>A. x3 = 64\u003Cbr>B. x2 = 64\u003Cbr>C. x3 = 512\u003Cbr>D. x2 = 512\u003Cbr>6) Which equation has both 7 and-7 as a possible value of x?\u003Cbr>A. x2 = 14\u003Cbr>B. x2 = 343\u003Cbr>C. x3 = 49\u003Cbr>D. x2 = 49\u003Cbr>8) Which equation has only 9 as a possible value of x?\u003Cbr>A. x2 = 27\u003Cbr>B. x3 = 729\u003Cbr>C. x2 = 81\u003Cbr>D. x2 = 729\u003Cbr>10) Which equation has only 10 as a possible value of x?\u003Cbr>A. x2 = 30\u003Cbr>B. x3 = 30\u003Cbr>C. x3 = 1000\u003Cbr>D. x2 = 1000 |  |  |  |  | Answers 1.  D  2.  B  3.  C  4.  B  5.  A  6.  D  7.  C  8.  B  9.  B  10.  C  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-10 |  | 90 | 80 | 70 | 60 |  | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 5)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5)[ 5](Math www.CommonCoreSheets.com 5)  \nExamining Powers and Bases  \nName:  \n\n| Solve each problem.\u003Cbr>1) Which equation has both 10 and-10 asa possible value of x?\u003Cbr>A. x2 = 20\u003Cbr>B. x3 = 1000\u003Cbr>C. x3 = 20\u003Cbr>D. x2 = 100\u003Cbr>3) Which equation has only 7 as a possible value of x?\u003Cbr>A. x2 = 49\u003Cbr>B. x3 = 21\u003Cbr>C. x3 = 343\u003Cbr>D. x3 = 49\u003Cbr>5) Which equation has both 6 and-6 as a possible value of x?\u003Cbr>A. x2 = 36\u003Cbr>B. x3 = 216\u003Cbr>C. x2 = 216\u003Cbr>D. x3 = 12 | 2) Which equation has only 4 as a possible value of x?\u003Cbr>A. x3 = 12\u003Cbr>B. x3 = 64\u003Cbr>C. x2 = 16\u003Cbr>D. x2 = 64\u003Cbr>4) Which equation has both 8 and-8 as a possible value of x?\u003Cbr>A. x3 = 64\u003Cbr>B. x2 = 64\u003Cbr>C. x3 = 512\u003Cbr>D. x2 = 512\u003Cbr>6) Which equation has both 7","cbCaivjApRtngVJn","https://ap.wps.com/l/cbCaivjApRtngVJn","pdf",43367,"English","# Solve each problem\n## Choose the equation matching the x-value condition\n## Check answers (answer key)","[{\"question\":\"How do I decide which equation has both a positive and negative x value?\",\"answer\":\"Use the required x values to determine which expression gives those values when substituted. For example, x^2 relates to squared results, while x^3 preserves the sign of x.\"},{\"question\":\"What does it mean for an equation to have only one possible value of x?\",\"answer\":\"It means that, among the answer choices, only one equation will be satisfied by the specified x value and no other value in the expected range.\"},{\"question\":\"Why are x^2 and x^3 treated differently in these problems?\",\"answer\":\"x^2 is nonnegative for real x and so it can correspond to both +x and -x in terms of magnitude. x^3 is sign-sensitive, so it distinguishes positive and negative x more directly.\"}]","Examining Powers and Bases - Math Practice | PDF"]