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SOLUCIONARIO SOLUCIONARIO DE EJERCICIOS DEL LIBRO D ÁLGEBRA Sergio Luis Rodriguez Nungaray
BLOQUE 1 Expresión algebraica Situai!n de A"rendiza#e 1 Expresándonos algebraicamen AC$I%IDAD &' (ÁGINAS &)' &1' &&' &* y &+ Identifca la terminología I.
a) Cono Conoci cido dos s (co (const nstan ante tes, s, coef coefci cient entes es e indep indepen endie dient ntes es); ); Desc Descon onoc ocido idos s (variables) b) sma, resta, mltiplicación, división, potenciación, radicación llaves, corc!etes, par"ntesis ma#or $e, igal $e, igal c) racionales, irracionales, !omog"neos, !eterog"neos monomio, binomio, trinomio o polinomio
%eali&a los e'ercicios de notación algebraica II.
a) c d m b) * m+ x+ c) (b ) (b*) d) (# - ) ; (#*) (#*) e) (m *) ; (m /) ; (m 0) 1) 2x 2m 2n g) a b !) x 3 i) x # ') 2m 2a 2
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c) 6tercer grado respecto a a; segndo grado respecto a b 6carto grado respecto a x ; tercer grado respecto a y 6segndo grado respecto a a; primer grado respecto a b; tercer grado respecto a x 6primer grado respecto a a, b, c; segndo grado respecto a x 6segndo grado respecto a m; tercer grado respecto a n; carto grado respecto a b; $into grado respecto a c
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d) !omog"neos /a +b* ; x3; 0x/#; /abcx* !eterog"neos /a+b*; /a+b+; 0ab+; *ac 7e8ala los símbolos conocidos # desconocidos I9. I9. Conocidos Desconocidos *, :, :
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c) 6tercer grado respecto a a; segndo grado respecto a b 6carto grado respecto a x ; tercer grado respecto a y 6segndo grado respecto a a; primer grado respecto a b; tercer grado respecto a x 6primer grado respecto a a, b, c; segndo grado respecto a x 6segndo grado respecto a m; tercer grado respecto a n; carto grado respecto a b; $into grado respecto a c
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d) !omog"neos /a +b* ; x3; 0x/#; /abcx* !eterog"neos /a+b*; /a+b+; 0ab+; *ac 7e8ala los símbolos conocidos # desconocidos I9. I9. Conocidos Desconocidos *, :, :
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monomio
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+
trinomio o polinomio
* + /
binomio trinomio polinomio
Establece el grado absolto # relativo 9II. absolto !eterog"neo tercer grado
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primer grado con x , y ; carto grado con n
AC$I%IDAD *' (ÁGINAS &,' *)' *1 y *& 7bra#a la expresión algebraica correcta . d) *. b) +. b) /. a) 3. a) 0. d) <. b) =. d) . a) Special offer for students: :.b)Only $4.99/month.
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B1 Matematicas I Con Cambios de
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(+bA/)* 3x - #A* (x) (x*) (x/) x ; x+ ; x3 (ab)A* (ab)A* xAx xAx +x B *x 3 (x)* (x)* (x*)* 9 B (*a)(*a)(*a) a*b+A/
%eselve los sigientes problemas . (x:) (x*:) (x+:) (x/:) *. :.: :.:x +. (x)(*x) /. B ($$*) A *d + You're Reading a Preview 3. @ B C<3; @ B 3: por lo tanto C - <3 B 3:
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AC$I%IDAD +' (ÁGINAS *-' *.' */ y *, Fradce expresiones algebraicas a lenga'e com>n Master yourlassemester with Scribd Read Free Foron 30this Days Sign up to vote title enga'e com>n & The New York Times Useful Not useful Special offer for students: $4.99/month. ElOnly doble de n n>mero • •
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El cbo de n n>mero más el triple del cadrado del mismo. El doble de la di1erencia de dos n>meros El triple de la sma de dos n>meros a sma de tres n>meros consectivos.
7bra#a la expresión matemática correcta . c) *. b) +. e) /. a) 3. c) 0. a) <. b) =. c) . d) :. e)
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3. +(x Ax) 0. *(x 3) <. 3x* =. !*A/ . (x +)A* :. *b*A+ . (x x ) * *. xA* /x +. xA/ (x ) * /. *b (b - /) 3.
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AC$I%IDAD 0' (ÁGINAS +&' +* Encentra los valores nm"ricos de la incógnita.
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A= 1) K A* A=
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. * *. < a8os +. @igel 2::: Lna 23:: Lbel 2+::: /. < 3. =, # : 0. El pe$e8o 2:: El mediano 2: El ma#or 2**: <. *: ::: barriles =.
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AC$I%IDAD IN$EGRADORA enga'e algebraico
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1ndamentales BLOQUE & Situai!n de A"rendiza#e 1 7ma, resta, mltiplicación #
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. *. +. /. 3.
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AC$I%IDAD *' (ÁGINA -& Mrodctos de monomios . :x0 *. /=x/ +. :x*#*& /. :x*#3&+ 3. :=x0#+&< 0. +:x0 <. +:x*#< =. +:x0#/&+ . *:x+#<&3 :.=/x 0#0&+ Divisiones de monomios . +x* *. +x* +. *x* /. +x 3. xA* 0. +x+#&+ <. +x#3&/ =. *#*Ax*& . +x*#*A& :.#*A/x&
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Escribe los valores correspondientes dentro del recadro (verde)
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%eali&a las operaciones indicadas a) 3x* +x * 0x* =x 3 x* 3x < b)
/x* :x 3 +x* x < x* x *
c) +x/ x* *x =x/ :x* x x/ x* +x d)
a* +a * :a* a *0 a* *a /
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a) b) c) d) e) 1)
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+N+B * N * N * N * B 0 3 N 3 N 3 B *3 x N x N x N x N x B x3 *x N *x N *x B =x + +x N +x B x *
Calcla el área de las fgras a) b) c) d) e) 1) g) !)
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!) *x<*/x= i) x= x3 x< ') *x* *x/ *x0 *x= Calcla los prodctos entre polinomios a) *x* *x : b) +:x* 0=x +* c) 0:x+ 3=x * *x d) +0x+ ==x* +*x e) +:x/ */x + +
AC$I%IDAD -' (ÁGINA ./ %eselve los e'ercicios . a - b *. *x/ +x +. /x* 3x /. 3Ax 3. *x*& /x+& 0. *x& +x *& <. 0x*&/A# +x&*A#+ =. 3x+#+x/&* . +x*&+ 3x&+ *x/#* :.=x# 3# +&3Ax* +x*&A#+
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: 0 0/ / = / +0
E1ect>a los e'ercicios 0 < / = 0 *3 :::::: ::
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AC$I%IDAD /' (ÁGINA /. Convierte el radical a potencia a) b) c) d)
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Dentro de # & O x (# &) # (# &) & (# &) (# &) B 3:
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a expresión algebraica para calclar el área total es a * /a / <. (x /)+ B x+ +(x * N /) +(x N / *) /+ O x+ *x * /=x 0/ =. x* 0x O el elemento 1altante del trinomio es el . /x+(x+ +#*) #/ :. x(x3 - x+ x* )
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B1 Matematicas I Con Cambios de
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U U U U
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AC$I%IDAD 0' (ÁGINAS 1&1' 1&& y 1&* Lctividades de aplicación . +x - 0 B *: O +x B *: 0 O +x B +0 O x B +0 El n>mero bscado es el +0 *. *x = B /* O *x B /* - = O *x B +/ O x B < a edad de Lntonio es de < a8os +. x +/ B +x O +x - x B +/ O *x B +/ O x B < El n>mero es el < /. @a#or B *(x:)
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#B* /. x B 3 #B: 3. x B * # B 0. ?o tiene solción
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problemas por ecaciones lineales
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*. x B nidades # B decenas O # B *x # - x * B 3 sstit#endo # B *x *x - x * B 3 O x B + ; el n>mero es + Mor lo tanto, las nidades es + # las decenas es 0 O +0 +. ara B x < Mablo B x x x < B <3 O *x B 3= O x B * Mor lo tanto ara tiene /0 a8os # Mablo tiene * a8os. /. * !ombre por cada 3 m'eres * 3 B < O 30:A< B =: grpos Mor lo tanto Vombres B =: x * B 0: @'eres B =: x 3 B /:: 3. @aría B x Medro B # You're Reading a Preview x *# B / *(x /) B # 0 O *x = B # 0
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Mor lo tanto el primer ob'eto se compró en 23:: # el segndo ob'eto
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:.=x :.# :.=3& B .< O resolvi"ndolo por sistema de ecaciones incógnitas, tendremos x B .3 # B .3 &B Ll mltiplicar los valores por ::::::, obtenemos Mrimer ob'eto costó 23:: :::, el segndo ob'eto costó 23:: ::: # el tercer ob'eto costó 2 ::: :::
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B1 Matematicas I Con Cambios de
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05 Polinomios Valor Numérico y
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Mor lo tanto, las medidas de los lados son los sigientes lado B < cm lado* B + cm lado+ B cm
(roduto & Corregir dato de2 e#e8"2o 15 6e de erratas (7gina 10* die 1&&)' siendo ue de4e deir 1&&)5 . L T B ** CBT/ L T C B =: L T B ** T C B / L T C B =: O resolvi"ndolo por sistema de ecaciones de + incógnitas, tendremos L B 0/ T B 3/ C B 3= Mor lo tanto, las medidas deReading los tresaánglos You're Preview de triánglo son : : : WL B 0/ WT B 3/ WC B 3= Unlock full access with a free trial.
*. =x +# B+3:: # B /(=x)
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=x +# B+3:: <*x # B : O resolvi"ndolo por sistema de ecaciones de incógnitas, tendremos x B +.0< # B *0/.3 Read Free Foron 30this Days Sign up to vote title Mor lo tanto, los precios de las plseras son de Useful Not useful Cancel anytime. a plsera de plata 2+.0< # la plsera de oro 2*0/.3
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B1 Matematicas I Con Cambios de
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Secuencia Didaìctica
05 Polinomios Valor Numérico y
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Mor lo tanto, el dinero invertido para el primer prodcto es de 2= ::: # segndo prodcto es de 2* :::.
(roduto * . x B longitd del camino llano # B longitd cesta arriba & B longitd cesta aba'o
x # & B * m xA=: #A3/ &A: B *.3 !r xA=: #A: &A3/ B *.<3 !r O resolvi"ndolo por sistema de ecac de + incógnitas, tendremos x B /.= m # B +.<*3 m & B 03./<3 m por lo tanto, la longitd del camino llano entre L # T es de /.= m *. x B n>mero de personas del crso L # B n>mero de personas del crso T & B n>mero de personas del crso C x # & B :: /::x 0:# *::& B *<*:: /::x B 3(0:#) You're Reading a Preview x # & B :: Unlock full access with a free trial. /::x 0:# *::& B *<*:: /::x =::# B : O resolvi"ndolo por sistema de ecacione Download With Free Trial incógnitas, tendremos x B /: personas # B *: personas & B /: personas Mor lo tanto, los empleados $e sigen cada crso son Crso L B /: personas; Crso T B *: personas # el Crso C B /: personas.
Master your semester with Scribd Free Foron 30this Days Sign up to vote title +. x B pedido de electrodom"sticos de la Read tienda pedido de electrodom"sticos de la tienda* & The New York# BTimes Useful Not useful Cancel anytime.
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B1 Matematicas I Con Cambios de
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Secuencia Didaìctica
05 Polinomios Valor Numérico y
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Borrar 2etra de2 e#e8"2o *5 6e de erratas (7gina 10+ die S' siendo ue no de4e a"areer5
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B1 Matematicas I Con Cambios de
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Secuencia Didaìctica
05 Polinomios Valor Numérico y
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a) x B + x* B < b) x B * x* B 0 c) x B 3 x* B * d) x B : x* B 3 e) x B * x* B 1) x B + x* B 3 g) x B * x* B !) x B + x* B 3 i) x B * x* B /
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AC$I%IDAD *' (ÁGINAS 1.* y 1.+ %eselve los sigientes problemas con ecaciones cadráticas.
Master your semester with Scribd & The New York Useful Mor Times lo tanto, la edad de la persona es *a8os.
. x* - +x B x O x * - +x x B : O x * - *x B : resolvi"ndolo por 1actori&ación O x B * Read Free Foron 30this Days Sign up to vote title
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*. L B (3 - *x)(*: - x) O *+/ B +:: - +:x - /:x /x * O *+/ B +::
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B1 Matematicas I Con Cambios de
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X B 'ardinero de mantenimiento () L 3 B X O L B X 3 (*) L X B / 7stit#endo () en la (*) tenemos O X - 3 X B / O *X B O X
Mor lo tanto, el tiempo $e empleo el 'ardinero de mantenimiento es de !rs. el a#dante de 'ardinero empleó 3 !rs más por lo $e tardó .3 !rs
Situai!n de A"rendiza#e & Ecaciones cadráticas (parte dos) AC$I%IDAD &' (ÁGINAS 1.. Calcla la cantidad de leones $e !a# en la selva. a) b) c) d) e)
*= leones < leones 3 leones + leones 0 leones
AC$I%IDAD *' (ÁGINAS 1/* y 1/+ You're Reading a Preview Fablación (x) B x* +x / 1() B * +() / B : * 1(:) B : +(:) / B : / * 1() B +() / B 0 1(*) B * * +(*) / * B 0 * Special offer for students: Only 1(+) B +$4.99/month. +(+) / + B / Y
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M(x, 1(x)) Download With Free Trial M(, :) M(:, /) M(, 0)
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B1 Matematicas I Con Cambios de
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(x) B x* /x 1(+) B + * /(+) B + 1(*) B * * /(*) B / 1() B * /() B + 1(:) B : * /(:) B : 1() B () * /() B 3
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M(x, 1(x)) M(+, +) M(*, /) M(, +) M(:, :) M(, 3)
Fablación + Y : *
(x) B *x * 0 1() B *() * 0 B / 1(:) B *(:) * 0 B 0 1() B *() * 0 B / 1(*) B *(*) * 0 B *
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(x) B +x * 3 1() B +() 3 B *
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M(x, 1(x)) M(, *)
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B1 Matematicas I Con Cambios de
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a) # B x* 0x - 3 # B (x +) * / a B 9(!, ) B (+, /)
b) # B x* =x 3 # B (x /) * aB 9(!, ) B (/, )
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B1 Matematicas I Con Cambios de
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d) # B x* /x - * # B (x *) * * a B 9(!, ) B (*, *)
e) # B /x* =x + # B /(x ) * aB/ 9(!, ) B (, ) You're Reading a Preview Unlock full access with a free trial.
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