{"id":54,"date":"2011-02-26T10:28:46","date_gmt":"2011-02-26T09:28:46","guid":{"rendered":"http:\/\/www.clayinformatique.ch\/mathsenquestions2\/2011\/02\/26\/calcul-litteral-8eme\/"},"modified":"2016-02-01T17:37:13","modified_gmt":"2016-02-01T16:37:13","slug":"calcul-litteral-8eme","status":"publish","type":"post","link":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/?p=54","title":{"rendered":"Calcul litt\u00e9ral 8\u00e8me"},"content":{"rendered":"<p><strong>1.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Effectue et classe dans l\u2019ordre:<\/strong><\/p>\n<p>a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4<sup>.<\/sup>b<sup>.<\/sup>2<sup>.<\/sup>a<sup>.<\/sup>4<sup>.<\/sup>x =<\/p>\n<p>b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3<sup>.<\/sup>m<sup>.<\/sup>3<sup>.<\/sup>m<sup>2<\/sup> =<\/p>\n<p>c)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 -x<sup>.<\/sup>6<sup>.<\/sup>3<sup>.<\/sup>(-2) =<\/p>\n<p>d)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 a<sup>2.<\/sup>x<sup>3<\/sup><sup>.<\/sup>(-3)<sup>.<\/sup>4 =<\/p>\n<p>e)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 -0,5<sup>.<\/sup>a<sup>.<\/sup>x<sup>.<\/sup><sub>(-<\/sub>x) =<\/p>\n<p>f)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3a<sup>.<\/sup>2b<sup>.<\/sup>7d a =<\/p>\n<p><strong>2.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Souligne les mon\u00f4mes semblables \u00e0 3ax<sup>2<\/sup><\/strong><\/p>\n<p>5ab\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03a\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4ax<sup>2<\/sup> 6x\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 -7ax<sup>2<\/sup> 0,5axx\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03x<sup>2<\/sup>a<\/p>\n<p><strong>3.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calcule la valeur des mon\u00f4mes suivants si a = -5 et b = 3<\/strong><\/p>\n<p>a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 -10ab =<\/p>\n<p>b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2a<sup>2<\/sup>b =<\/p>\n<p><strong>4.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calcule la valeur des polyn\u00f4mes suivants si a = 2 ; b = -1 ; c = 3<\/strong><\/p>\n<p>a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3a<sup>2 <\/sup>&#8211; 2b + 1 &#8211; c<sup>2<\/sup> =<\/p>\n<p>b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3ab &#8211; 4ab<sup>2<\/sup> &#8211; 2c=<\/p>\n<p><strong>5.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 R\u00e9duis les mon\u00f4mes semblables:<\/strong><\/p>\n<p>a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3a + 4b &#8211; b &#8211; 2a &#8211; c =<\/p>\n<p>b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 9ac &#8211; 12ab + 3ac &#8211; 2ab + ac =<\/p>\n<p>c)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 6a<sup>2<\/sup>b + 7ab<sup>2<\/sup> &#8211; ab<sup>2<\/sup> &#8211; 8a<sup>2<\/sup>b + 2ab =<\/p>\n<p>d)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 b + 3a &#8211; b &#8211; 4a &#8211; c =<\/p>\n<p>e)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 6ab &#8211; 5ac &#8211; 2ac &#8211; ab + ac =<\/p>\n<p>f)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2a<sup>3<\/sup> + 5b<sup>2<\/sup> &#8211; a<sup>3<\/sup> &#8211; 8a<sup>2<\/sup>b + 2b<sup>2 <\/sup>=<\/p>\n<p><strong>6.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Un \u00e9l\u00e8ve vient de terminer ses exercices. Si les r\u00e9ponses sont justes, ne fais rien; si elles sont fausses, corrige-les!<\/strong><\/p>\n<p>a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4 (a &#8211; x) = 4a &#8211; x<\/p>\n<p>correction\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4 (a &#8211; x) =<\/p>\n<p>b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (-a)(x &#8211; 2) = &#8211; ax &#8211; 2a<\/p>\n<p>correction\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (-a)(x &#8211; 2) =<\/p>\n<p>c)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3b (6 &#8211; 2 y) =18b &#8211; 3by<\/p>\n<p>correction\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3b (6 &#8211; 2 y) =<\/p>\n<p>d)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 5 + (a + b) = 5a + 5b<\/p>\n<p>correction\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 5 + (a + b) =<\/p>\n<p>e)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 &#8211; 5a (b <sup>.<\/sup> c) = 5abc<\/p>\n<p>correction\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 &#8211; 5a (b <sup>.<\/sup> c) =<\/p>\n<p>f)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3x<sup>2<\/sup> <sup>.<\/sup> 2x<sup>3<\/sup> = 6 x<sup>6<\/sup><\/p>\n<p>correction\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3x<sup>2<\/sup> <sup>.<\/sup> 2x<sup>3<\/sup> =<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"http:\/\/www.clayinformatique.ch\/mathsenquestions2\/?p=55\"><strong><em>Corrig\u00e9s<\/em><\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>1.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Effectue et classe dans l\u2019ordre: a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4.b.2.a.4.x = b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3.m.3.m2 = c)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 -x.6.3.(-2) = d)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 a2.x3.(-3).4 = e)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 -0,5.a.x.(-x) = f)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3a.2b.7d a = 2.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Souligne les mon\u00f4mes semblables \u00e0 3ax2 5ab\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03a\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4ax2 6x\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 -7ax2 0,5axx\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03x2a 3.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calcule la valeur des mon\u00f4mes suivants si a = -5 et b = 3 a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 -10ab = <a class=\"read-more\" href=\"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/?p=54\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-54","post","type-post","status-publish","format-standard","hentry","category-algebre-10eme"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=\/wp\/v2\/posts\/54","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=54"}],"version-history":[{"count":0,"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=\/wp\/v2\/posts\/54\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=54"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=54"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=54"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}