{[Aplusix {[modele aplusix_modele] [noms_prop (objet statut_aplusix sorte_activite_aplusix titre_aplusix auteurs_aplusix description_aplusix discipline_aplusix theme_aplusix niveau_aplusix age_aplusix mots_cles_aplusix domaine_calcul domaine_bouton_calcul niv_alg_dyn nombre_maxi_exercices exercices_aleatoires les_langues langage_repertoire lexique_multilingue commentaires_widget nombre_phases_aplusix)] [objet Aplusix] [titre_aplusix "C5 - Linear equations " - " Expansion " ] [auteurs_aplusix "JF Nicaud " ] [description_aplusix "Examples : " 5({dec 1 3}x+{dec 3 4})=4(-{dec 2 9}x-5);3({frac [x] [3]}+2)=5({frac [x] [6]}-5) " " ] [discipline_aplusix "Math " ] [theme_aplusix "Equations " ] [niveau_aplusix "Eq2 " ] [age_aplusix " " ] [mots_cles_aplusix " " ] [langue_aplusix " " ] [nombre_phases_aplusix 5] [phases (Aplusix_Phase1 Aplusix_Phase2 Aplusix_Phase3 Aplusix_Phase4 Aplusix_Phase5)] [nombre_maxi_exercices " " ] [exercices_aleatoires oui] [statut_aplusix 2] [domaine_calcul nombres_reels] [domaine_bouton_calcul calculs_7] [niv_alg_dyn -1] [les_langues " " ] [langage_repertoire " " ] [lexique_multilingue " " ] [commentaires_widget " " ] [sorte_activite_aplusix libre]}] [Aplusix_Phase1 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase1] [numero_phase 1] [titre_phase " " ] [explication_phase " " ] [nombre_maxi_exercices 2 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for ax=k({calculD [z]}x+c) {and [1<=a<=5] {natAnd 1<=u<=3 1<=v<=9} {natAnd -5<=c<=5 c<>0} [2<=k<=5] [{let z={frac [10u+v] [10]}}] [a<>kz] {number 10}}} " " ] [exercices_aplusix " " 3x=5({dec 2 8}x+2) " " 2x=5({dec 1 6}x-2) " " 5x=3({dec 2 1}x+4) " " 2x=2({dec 2 7}x-2) " " 4x=5({dec 2 8}x+5) " " 4x=5({dec 2 4}x+2) " " 2x=4({dec 1 4}x+3) " " x=5({dec 1 1}x+4) " " 3x=5({dec 1 3}x-3) " " 5x=5({dec 2 2}x-1) " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase2 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase2] [numero_phase 2] [titre_phase " " ] [explication_phase " " ] [nombre_maxi_exercices 3 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for k({calculD {frac [10a+b] [10]}}x+{calculD {frac [10(u+1)+b+1] [10]}})=z({calculD [{frac [-10u-v] [10]}x]}+c) {and {natAnd 1<=a<=5 1<=b<=5} {natAnd 1<=u<=3 6<=v<=9} {natAnd -5<=c<=5 c<>0} [3<=k<=5] {let z=k-1} [k(10a+b)<>z(10u+v)] {number 10}}} " " ] [exercices_aplusix " " 3({dec 1 4}x+{dec 4 5})=2(-{dec 3 6}x+5) " " 5({dec 1 3}x+{dec 3 4})=4(-{dec 2 9}x-5) " " 3({dec 3 4}x+{dec 4 5})=2(-{dec 3 7}x+2) " " 3({dec 1 2}x+{dec 3 3})=2(-{dec 2 9}x-2) " " 4({dec 1 3}x+{dec 4 4})=3(-{dec 3 6}x+1) " " 5({dec 1 2}x+{dec 2 3})=4(-{dec 1 8}x-3) " " 5({dec 3 3}x+{dec 4 4})=4(-{dec 3 7}x-1) " " 3({dec 1 5}x+{dec 3 6})=2(-{dec 2 8}x+2) " " 3({dec 1 4}x+{dec 3 5})=2(-{dec 2 7}x+4) " " 4({dec 1 2}x+{dec 2 3})=3(-{dec 1 8}x+5) " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase3 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase3] [numero_phase 3] [titre_phase " " ] [explication_phase " " ] [nombre_maxi_exercices 2 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for k(ax+{frac [d] [u]})=z(bx+{frac [c] [2u]}) {and {natAnd 1<=a<=5 1<=b<=5} {natAnd -5<=c<=5 c<>0} {natAnd -5<=d<=5 d<>0} [2<=u<=5] [{hcf (d;u)}=1] [{hcf (c;2u)}=1] {natAnd 4<=k<=6 k<>5} {let z=10-k} [ka<>zb] {number 10}}} " " ] [exercices_aplusix " " 4(2x+{frac [5] [4]})=6(x+{frac [1] [8]}) " " 4(3x-{frac [3] [5]})=6(3x+{frac [1] [10]}) " " 6(x-{frac [1] [5]})=4(5x-{frac [1] [10]}) " " 4(4x+{frac [3] [4]})=6(x-{frac [5] [8]}) " " 4(2x-{frac [4] [3]})=6(3x-{frac [1] [6]}) " " 6(2x+{frac [3] [5]})=4(5x-{frac [3] [10]}) " " 4(2x-{frac [1] [5]})=6(2x+{frac [3] [10]}) " " 4(2x-{frac [1] [4]})=6(x+{frac [5] [8]}) " " 4(4x-{frac [3] [5]})=6(x+{frac [3] [10]}) " " 4(2x+{frac [3] [5]})=6(2x+{frac [1] [10]}) " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase4 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase4] [numero_phase 4] [titre_phase " " ] [explication_phase " " ] [nombre_maxi_exercices 3 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for k({frac [ax] [u]}+d)=z({frac [bx] [2u]}+c) {and {natAnd 1<=a<=5 1<=b<=5} {natAnd -5<=c<=5 c<>0} {natAnd -5<=d<=5 d<>0} [2<=u<=5] [{hcf (a;u)}=1] [{hcf (b;2u)}=1] {natAnd 3<=k<=5 k<>4} {let z=8-k} [{frac [ka] [u]}<>{frac [zb] [2u]}] {number 10}}} " " ] [exercices_aplusix " " 5({frac [x] [5]}+2)=3({frac [x] [10]}-1) " " 5({frac [3] [5]}x-2)=3({frac [3] [10]}x+1) " " 3({frac [4x] [3]}+5)=5({frac [x] [6]}+1) " " 3({frac [x] [3]}+2)=5({frac [x] [6]}-5) " " 5({frac [3] [4]}x-1)=3({frac [3] [8]}x-5) " " 5({frac [x] [5]}-4)=3({frac [x] [10]}-4) " " 3({frac [4] [5]}x+5)=5({frac [x] [10]}-4) " " 5({frac [2x] [3]}-5)=3({frac [5x] [6]}-3) " " 5({frac [3] [2]}x-2)=3({frac [5] [4]}x+5) " " 3({frac [3] [2]}x-2)=5({frac [5] [4]}x-2) " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase5 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase5] [numero_phase 5] [titre_phase " " ] [explication_phase " " ] [nombre_maxi_exercices 2 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix " " ] [exercices_aplusix " " ] [commentaires_phase " " ] [liste_exercices ()]}]}