{"id":93439,"date":"2017-01-09T15:16:23","date_gmt":"2017-01-09T17:16:23","guid":{"rendered":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/?p=93439"},"modified":"2026-05-19T18:17:59","modified_gmt":"2026-05-19T20:17:59","slug":"equacao-do-1o-grau","status":"publish","type":"post","link":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/matematica\/equacao-do-1o-grau","title":{"rendered":"Equa\u00e7\u00e3o do 1\u00ba Grau"},"content":{"rendered":"<p>Uma\u00a0<b>equa\u00e7\u00e3o do 1\u00ba grau<\/b> \u00e9 uma senten\u00e7a matem\u00e1tica de igualdade com uma ou mais inc\u00f3gnitas (letras) de expoente 1, representada na forma geral ax + b = 0 (a \u2260 0). O objetivo \u00e9 isolar a inc\u00f3gnita (geralmente \\(x\\)) para encontrar seu valor, utilizando opera\u00e7\u00f5es inversas para manter o equil\u00edbrio da igualdade<\/p>\n<p>Para come\u00e7armos a entender o que \u00e9 uma equa\u00e7\u00e3o do primeiro grau, vamos ver por partes seu significado.<\/p>\n<p><strong>O que \u00e9 uma equa\u00e7\u00e3o?<\/strong><\/p>\n<p>Uma equa\u00e7\u00e3o \u00e9 uma IGUALDADE, isto \u00e9, tudo que fica de um dos lados do sinal = \u00e9 igual ao que fica do outro lado. Assim como em uma balan\u00e7a em equil\u00edbrio, em que todo o peso de um dos pratos \u00e9 igual ao peso do outro prato. Ent\u00e3o, se tirarmos pesos iguais dos pratos, eles ir\u00e3o continuar iguais!<\/p>\n<p align=\"center\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-177842\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/equacao-1-grau-1.gif\" alt=\"Equa\u00e7\u00e3o do 1\u00ba Grau\" width=\"361\" height=\"160\" \/><\/p>\n<p>Quando dizemos equa\u00e7\u00e3o do 1\u00ba grau, estamos nos referindo a\u00a0 uma igualdade em que existe uma vari\u00e1vel de primeiro grau.<\/p>\n<p><b>Exemplo:<\/b>\u00a0<strong>x + 3 = 4<\/strong><\/p>\n<p align=\"center\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-177843\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/equacao-1-grau-2.jpg\" alt=\"Equa\u00e7\u00e3o do 1\u00ba Grau\" width=\"361\" height=\"156\" srcset=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/equacao-1-grau-2.jpg 361w, https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/equacao-1-grau-2-300x130.jpg 300w\" sizes=\"(max-width: 361px) 100vw, 361px\" \/><\/p>\n<p><strong>O que \u00e9 uma vari\u00e1vel do\u00a01\u00ba grau?<\/strong><\/p>\n<p>Uma vari\u00e1vel do primeiro grau \u00e9 uma inc\u00f3gnita, ou seja, um valor ainda desconhecido representado por uma letrinha. No caso do nosso exemplo, a vari\u00e1vel de primeiro grau \u00e9 o x. Ela \u00e9 dita do primeiro grau pois sua pot\u00eancia \u00e9 1, ou seja, ela est\u00e1 elevada ao grau 1.<\/p>\n<p><b>As equa\u00e7\u00f5es do\u00a01\u00ba grau, para a vari\u00e1vel x, sempre seguir\u00e3o a forma:<\/b><\/p>\n<p><strong>ax+b = 0,<\/strong>\u00a0para a,b \u2208 R, ou seja, para a e b pertencentes ao conjunto dos n\u00fameros Reais.<\/p>\n<p>Como resolver uma equa\u00e7\u00e3o do 1\u00ba grau?<\/p>\n<p class=\"normal\">Para resolver uma equa\u00e7\u00e3o de primeiro grau, iremos isolar o valor desconhecido de um lado da equa\u00e7\u00e3o e do outro lado do sinal de =, obteremos o valor da vari\u00e1vel. Para isso, iremos, por etapas, realizar opera\u00e7\u00f5es para tornar a inc\u00f3gnita separada. \u00c9 importante notar, que as equa\u00e7\u00f5es de primeiro grau ter\u00e3o sempre apenas uma solu\u00e7\u00e3o. A solu\u00e7\u00e3o \u00e9 tamb\u00e9m chamada de raiz da equa\u00e7\u00e3o de primeiro grau.<\/p>\n<p class=\"normal\"><strong>Exemplos:<\/strong><\/p>\n<p class=\"normal\"><strong>1)<\/strong>\u00a0x+3 = 4<\/p>\n<p>x + 3 = 4<br \/>\nx + 3 \u2013 3 = 4 \u2013 3<br \/>\nx + 0 = 1<br \/>\nx = 1<\/p>\n<p><strong>2)<\/strong>\u00a05x \u2013 10 = 20<\/p>\n<p>5x \u2013 10 = 20<br \/>\n5x \u2013 10 + 10 = 20 + 10<br \/>\n5x + 0 = 30<br \/>\n5x\/5 = 30\/5<br \/>\nx = 6<\/p>\n<p><strong>Fonte:<\/strong>\u00a0Col\u00e9gio S\u00e3o Francisco\/Luisa Boccardo Burini<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Uma\u00a0equa\u00e7\u00e3o do 1\u00ba grau \u00e9 uma senten\u00e7a matem\u00e1tica de igualdade com uma ou mais inc\u00f3gnitas (letras) de expoente 1, representada na forma geral ax + b = 0 (a \u2260 0). O objetivo \u00e9 isolar a inc\u00f3gnita (geralmente \\(x\\)) para encontrar seu valor, utilizando opera\u00e7\u00f5es inversas para manter o equil\u00edbrio da igualdade Para come\u00e7armos a [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[414],"tags":[],"class_list":["post-93439","post","type-post","status-publish","format-standard","hentry","category-matematica"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Equa\u00e7\u00e3o do 1\u00ba Grau, Matem\u00e1tica Equa\u00e7\u00e3o do 1\u00ba Grau<\/title>\n<meta name=\"description\" content=\"Equa\u00e7\u00e3o do 1\u00ba Grau, Matem\u00e1tica, Igualdade, Vari\u00e1vel, Forma, Inc\u00f3gnita, Opera\u00e7\u00f5es, Exemplos, O que \u00e9, Equa\u00e7\u00e3o do 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