{"id":4639,"date":"2025-11-01T12:37:56","date_gmt":"2025-11-01T16:37:56","guid":{"rendered":"https:\/\/josmfs.net\/?p=4639"},"modified":"2025-11-01T12:54:21","modified_gmt":"2025-11-01T16:54:21","slug":"two-algebra-puzzles","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2025\/11\/01\/two-algebra-puzzles\/","title":{"rendered":"Two Algebra Puzzles"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4634\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/11\/Two-Algebra-Puzzles-Fig2.jpg\" alt=\"\" width=\"200\" height=\"187\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/11\/Two-Algebra-Puzzles-Fig2.jpg 350w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/11\/Two-Algebra-Puzzles-Fig2-300x281.jpg 300w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>Here are two algebra problems from the 2025 Math Calendar.<\/p>\n<p>\u201c#1. Find the value of the ratio<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-4638 alignnone\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/11\/Two-Algebra-Puzzles-ratio.jpg\" alt=\"\" width=\"125\" height=\"43\" \/><\/p>\n<p>#2. Find the value of the sum<\/p>\n<p style=\"text-align: center;\"><em>z<\/em><sup>90<\/sup> + <em>z<\/em><sup>87<\/sup> + \u2026 + <em>z<\/em><sup>3<\/sup> + 1<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0 where <em>z<\/em><sup>2<\/sup> + <em>z<\/em> + 1 = 0.\u201d<\/p>\n<p>Remember the answers are days on the calendar.<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/11\/Two-Algebra-Puzzles-Answer-1.jpg\">Answer #1\u00ad\u00ad\u00ad<\/a><span style=\"color: #ffffff;\">_____<\/span><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/11\/Two-Algebra-Puzzles-Answer-2.jpg\">Answer # 2<\/a><\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/11\/Two-Algebra-Puzzles-251024.pdf\">Two Algebra Puzzles<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here are two algebra problems from the 2025 Math Calendar. \u201c#1. Find the value of the ratio #2. Find the value of the sum z90 + z87 + \u2026 + z3 + 1 \u00a0\u00a0\u00a0\u00a0\u00a0 where z2 + z + 1 = 0.\u201d Remember the answers are days on the calendar. Answer #1\u00ad\u00ad\u00ad_____Answer # 2 See [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[133,183],"class_list":["post-4639","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-algebra","tag-math-calendar"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4639","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=4639"}],"version-history":[{"count":4,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4639\/revisions"}],"predecessor-version":[{"id":4644,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4639\/revisions\/4644"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4639"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4639"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4639"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}