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Students determine which equation yields a single possible value of x, and which equations produce two possible values using negative and positive roots. Problems cover x raised to a power equaling given perfect powers, including cases that test x^2 versus x^3 behavior. The included answer section lists the selected choices for each numbered 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do the problems determine the possible values of x?","Question",{"text":112,"@type":113},"Each question provides an exponent equation such as x^2 = ... or x^3 = ... and asks for which equation has the specified possible value(s) of x.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of equations are included?",{"text":117,"@type":113},"The worksheet uses both x^2 and x^3 forms, often set equal to perfect powers, to test whether x has one solution or two solutions.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can the correct choices be found?",{"text":121,"@type":113},"An “Answer Key” section lists the correct answer letter for each numbered problem.","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},465863,1791126324,{"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":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":41,"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":144},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 only 6 as a possible value of x?\u003Cbr>A. x3 = 216\u003Cbr>B. x2 = 18\u003Cbr>C. x3 = 36\u003Cbr>D. x2 = 216\u003Cbr>3) Which equation has only 5 as a possible value of x?\u003Cbr>A. x3 = 125\u003Cbr>B. x3 = 15\u003Cbr>C. x2 = 125\u003Cbr>D. x2 = 25\u003Cbr>5) Which equation has only 10 as a possible value of x?\u003Cbr>A. x2 = 1000\u003Cbr>B. x3 = 30\u003Cbr>C. x2 = 30\u003Cbr>D. x3 = 1000\u003Cbr>7) Which equation has both 10 and-10 asa possible value of x?\u003Cbr>A. x3 = 100\u003Cbr>B. x2 = 100\u003Cbr>C. x2 = 1000\u003Cbr>D. x2 = 20\u003Cbr>9) Which equation has only 8 as a possible value of x?\u003Cbr>A. x3 = 512\u003Cbr>B. x2 = 512\u003Cbr>C. x2 = 24\u003Cbr>D. x2 = 64 | 2) Which equation has only 9 as a possible value of x?\u003Cbr>A. x2 = 81\u003Cbr>B. x2 = 729\u003Cbr>C. x3 = 729\u003Cbr>D. x3 = 27\u003Cbr>4) Which equation has both 4 and-4 as a possible value of x?\u003Cbr>A. x3 = 16\u003Cbr>B. x2 = 8\u003Cbr>C. x2 = 16\u003Cbr>D. x3 = 8\u003Cbr>6) Which equation has both 7 and-7 as a possible value of x?\u003Cbr>A. x3 = 14\u003Cbr>B. x3 = 343\u003Cbr>C. x2 = 343\u003Cbr>D. x2 = 49\u003Cbr>8) Which equation has both 6 and-6 as a possible value of x?\u003Cbr>A. x3 = 12\u003Cbr>B. x3 = 36\u003Cbr>C. x2 = 12\u003Cbr>D. x2 = 36\u003Cbr>10) Which equation has both 9 and-9 as a possible value of x?\u003Cbr>A. x2 = 18\u003Cbr>B. x3 = 729\u003Cbr>C. x3 = 18\u003Cbr>D. x2 = 81 |  |  |  |  | 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 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nExamining Powers and Bases  \nName: Answer Key  \n\n| Solve each problem.\u003Cbr>1) Which equation has only 6 as a possible value of x?\u003Cbr>A. x3 = 216\u003Cbr>B. x2 = 18\u003Cbr>C. x3 = 36\u003Cbr>D. x2 = 216\u003Cbr>3) Which equation has only 5 as a possible value of x?\u003Cbr>A. x3 = 125\u003Cbr>B. x3 = 15\u003Cbr>C. x2 = 125\u003Cbr>D. x2 = 25\u003Cbr>5) Which equation has only 10 as a possible value of x?\u003Cbr>A. x2 = 1000\u003Cbr>B. x3 = 30\u003Cbr>C. x2 = 30\u003Cbr>D. x3 = 1000\u003Cbr>7) Which equation has both 10 and-10 asa possible value of x?\u003Cbr>A. x3 = 100\u003Cbr>B. x2 = 100\u003Cbr>C. x2 = 1000\u003Cbr>D. x2 = 20\u003Cbr>9) Which equation has only 8 as a possible value of x?\u003Cbr>A. x3 = 512\u003Cbr>B. x2 = 512\u003Cbr>C. x2 = 24\u003Cbr>D. x2 = 64 | 2) Which equation has only 9 as a possible value of x?\u003Cbr>A. x2 = 81\u003Cbr>B. x2 = 729\u003Cbr>C. x3 = 729\u003Cbr>D. x3 = 27\u003Cbr>4) Which equation has both 4 and-4 as a possible value of x?\u003Cbr>A. x3 = 16\u003Cbr>B. x2 = 8\u003Cbr>C. x2 = 16\u003Cbr>D. x3 = 8\u003Cbr>6) Which equation has both 7 and-7 as a possible value of x?\u003Cbr>A. x3 = 14\u003Cbr>B. x3 = 343\u003Cbr>C. x2 = 343\u003Cbr>D. x2 = 49\u003Cbr>8) Which equation has both 6 and-6 as a possible value of x?\u003Cbr>A. x3 = 12\u003Cbr>B. x3 = 36\u003Cbr>C. x2 = 12\u003Cbr>D. x2 = 36\u003Cbr>10) Which equation has both 9 and-9 as a possible value of x?\u003Cbr>A. x2 = 18\u003Cbr>B. x3 = 729\u003Cbr>C. x3 = 18\u003Cbr>D. x2 = 81 |  |  |  |  | Answers 1.  A  2.  C  3.  A  4.  C  5.  D  6.  D  7.  B  8.  D  9.  A  10.  D  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-10 |  | 90 | 80 | 70 | 60 |  | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nExamining Powers and Bases  \nName:  \n\n| Solve each problem.\u003Cbr>1) Which equation has only 6 as a possible value of x?\u003Cbr>A. x3 = 216\u003Cbr>B. x2 = 18\u003Cbr>C. x3 = 36\u003Cbr>D. x2 = 216\u003Cbr>3) Which equation has only 5 as a possible value of x?\u003Cbr>A. x3 = 125\u003Cbr>B. x3 = 15\u003Cbr>C. x2 = 125\u003Cbr>D. x2 = 25\u003Cbr>5) Which equation has only 10 as a possible value of x?\u003Cbr>A. x2 = 1000\u003Cbr>B. x3 = 30\u003Cbr>C. x2 = 30\u003Cbr>D. x3 = 1000 | 2)\u003Cbr>4)\u003Cbr>6) | Which equation has only 9 as a possible value of x?\u003Cbr>A. x2 = 81\u003Cbr>B. x2 = 729\u003Cbr>C. x3 = 729\u003Cbr>D. x3 = 27\u003Cbr>Which equation has both 4 and-4 as a possible value of x?\u003Cbr>A. x3 = 16\u003Cbr>B. x2 = 8\u003Cbr>C. x2 = 16\u003Cbr>D. x3 = 8\u003Cbr>Which equation has both 7 and","cbCaivnxJjXFRWmz","https://ap.wps.com/l/cbCaivnxJjXFRWmz","pdf",440479,"English","# Solve each problem\n## Multiple-choice exponent equations\n## Answers","[{\"question\":\"How do the problems determine the possible values of x?\",\"answer\":\"Each question provides an exponent equation such as x^2 = ... or x^3 = ... and asks for which equation has the specified possible value(s) of x.\"},{\"question\":\"What types of equations are included?\",\"answer\":\"The worksheet uses both x^2 and x^3 forms, often set equal to perfect powers, to test whether x has one solution or two solutions.\"},{\"question\":\"Where can the correct choices be found?\",\"answer\":\"An “Answer Key” section lists the correct answer letter for each numbered problem.\"}]","Examining Powers and Bases - Practice Equations - Solve Each Problem | PDF",1790770194,76]