{"id":2011,"date":"2022-11-17T13:36:55","date_gmt":"2022-11-17T12:36:55","guid":{"rendered":"https:\/\/mxth.dk\/?page_id=2011"},"modified":"2023-01-31T10:24:53","modified_gmt":"2023-01-31T09:24:53","slug":"opgaver-til-den-rette-linje","status":"publish","type":"page","link":"https:\/\/mxth.dk\/?page_id=2011","title":{"rendered":"Opgaver til den rette linje"},"content":{"rendered":"<p class=\" eplus-wrapper eplus-styles-uid-e8ada0\"><strong>L\u00f8sning af f\u00f8rstegradsligninger<\/strong><\/p>\n\n\n<div class=\"wp-block-kadence-accordion alignnone\"><div class=\"kt-accordion-wrap kt-accordion-wrap kt-accordion-id_a483ab-44 kt-accordion-has-4-panes kt-active-pane-0 kt-accordion-block kt-pane-header-alignment-left kt-accodion-icon-style-basic kt-accodion-icon-side-right\" style=\"max-width:none\"><div class=\"kt-accordion-inner-wrap\" data-allow-multiple-open=\"false\" data-start-open=\"none\">\n<div class=\"wp-block-kadence-pane kt-accordion-pane kt-accordion-pane-1 kt-pane_e80690-b2\" id=\"LFL001\"><div class=\"kt-accordion-header-wrap\"><button class=\"kt-blocks-accordion-header kt-acccordion-button-label-show\"><span class=\"kt-blocks-accordion-title-wrap\"><span class=\"kt-blocks-accordion-title\">LFL001<\/span><\/span><span class=\"kt-blocks-accordion-icon-trigger\"><\/span><\/button><\/div><div class=\"kt-accordion-panel kt-accordion-panel-hidden\"><div class=\"kt-accordion-panel-inner\">\n<p class=\" eplus-wrapper\">L\u00f8s f\u00f8lgende ligninger algebraisk og tjek med CAS. N\u00e5r du l\u00f8ser ligningerne skal du for hvert skridt g\u00f8re rede for, hvilke regneregler du benytter.<\/p>\n\n\n<ol class=\"eplus-wrapper wp-block-list eplus-styles-uid-7974b6\">\n<li class=\" eplus-wrapper\">$3x-5=3-x$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$2\\cdot (3-x)-5=3-(2+x)$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$3x-12=-(x+2)\\cdot 3+6$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">-4+2x=8-4\\cdot (2-x)$<\/li>\n<\/ol><\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-kadence-pane kt-accordion-pane kt-accordion-pane-2 kt-pane_6a9839-c1\" id=\"LFL002\"><div class=\"kt-accordion-header-wrap\"><button class=\"kt-blocks-accordion-header kt-acccordion-button-label-show\"><span class=\"kt-blocks-accordion-title-wrap\"><span class=\"kt-blocks-accordion-title\">LFL002<\/span><\/span><span class=\"kt-blocks-accordion-icon-trigger\"><\/span><\/button><\/div><div class=\"kt-accordion-panel kt-accordion-panel-hidden\"><div class=\"kt-accordion-panel-inner\">\n<p class=\" eplus-wrapper\">Bestem et udtryk for $a$ i ligningen.<\/p>\n\n\n<ol class=\"eplus-wrapper wp-block-list eplus-styles-uid-d94d47\">\n<li class=\" eplus-wrapper\">$6x-7=a\\cdot x+13$<\/li>\n<\/ol><\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-kadence-pane kt-accordion-pane kt-accordion-pane-3 kt-pane_5150d3-f0\" id=\"LFL003\"><div class=\"kt-accordion-header-wrap\"><button class=\"kt-blocks-accordion-header kt-acccordion-button-label-show\"><span class=\"kt-blocks-accordion-title-wrap\"><span class=\"kt-blocks-accordion-title\">LFL003<\/span><\/span><span class=\"kt-blocks-accordion-icon-trigger\"><\/span><\/button><\/div><div class=\"kt-accordion-panel kt-accordion-panel-hidden\"><div class=\"kt-accordion-panel-inner\">\n<p class=\" eplus-wrapper\">L\u00f8s f\u00f8lgende ligninger alene algebraisk. For hvert skridt skal du redeg\u00f8re for hvilken regneregl du benytter. Kontroller med CAS.<\/p>\n\n\n<ol class=\"eplus-wrapper wp-block-list eplus-styles-uid-da588d\">\n<li class=\" eplus-wrapper\">$2x+5=-3x+15$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$-4x+2=x-18$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$2\\frac{1}{2}x+3=-\\frac{1}{2}x -9$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$2\\cdot (x-1)=-x+7$<\/li>\n<\/ol><\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-kadence-pane kt-accordion-pane kt-accordion-pane-4 kt-pane_27ecf6-dd\" id=\"LFL004\"><div class=\"kt-accordion-header-wrap\"><button class=\"kt-blocks-accordion-header kt-acccordion-button-label-show\"><span class=\"kt-blocks-accordion-title-wrap\"><span class=\"kt-blocks-accordion-title\">LFL004<\/span><\/span><span class=\"kt-blocks-accordion-icon-trigger\"><\/span><\/button><\/div><div class=\"kt-accordion-panel kt-accordion-panel-hidden\"><div class=\"kt-accordion-panel-inner\">\n<p class=\" eplus-wrapper\">L\u00f8s f\u00f8lgende ligninger algebraisk.<\/p>\n\n\n<ol class=\"eplus-wrapper wp-block-list eplus-styles-uid-f40034\">\n<li class=\" eplus-wrapper\">$\\frac{1}{2}\\cdot (3-4x)=2-1,5\\cdot (6+3x)$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$\\frac{5x+6}{3}=\\frac{8+5x}{6}$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$\\frac{x-3}{2}+\\frac{5-2x}{6}=\\frac{6+x}{3}$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$\\frac{x+8}{8}-\\frac{x}{2}=\\frac{1+3x}{4}$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$\\frac{1+x}{5}+\\frac{x}{2}=1-\\frac{x-3}{2}$<\/li>\n<\/ol><\/div><\/div><\/div>\n<\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>L\u00f8sning af f\u00f8rstegradsligninger<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ub_ctt_via":"","editor_plus_copied_stylings":"{}","footnotes":""},"categories":[3,4],"tags":[],"class_list":["post-2011","page","type-page","status-publish","hentry","category-matematik","category-opgave"],"featured_image_src":null,"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/pages\/2011","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2011"}],"version-history":[{"count":2,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/pages\/2011\/revisions"}],"predecessor-version":[{"id":2099,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/pages\/2011\/revisions\/2099"}],"wp:attachment":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2011"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2011"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2011"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}