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Matematica - Ensino Fundamental

Exerccios - Lista 4 - 2013 - 8o. Ano1

Expressoes Algebricas

1) Qual a expressao algebrica para o permetro de cada figura abaixo?

x + 1

2x + 2

x+ y(a)

(b)

(c)

(d) (e)

x + 3

x + 3y

x

x

x

x

2x

2x

2x

x

4x

4x

x+y

2

Estrela

com

lados

iguais

equiltero

2) Qual a expressao algebrica para:

a)a raiz quadrada da diferenca entre dois numeros desconhecidos?

b)a soma da metade de um numero desconhecido com o triplo de outro numero desconhe-cido?

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c)a soma do produto de dois numeros desconhecidos com o numero 10?

3) Qual o valor numerico de:

a)4x+y, para x= 2 e y= 10?

b) x+y2, para x= 1 e y= 12

?

c) a2 +b, para a= 2 e b= a?

d) x+ 1

x 1+y+ 2

y 2, para x= 2 e y= 1?

e) x+y+ z, para x= 2 e y= 2 e z= 1000?

f)

(3x+ 3)y, para x= 2 e y= 9?

4) Escreva ao lado de cada expressao algebrica se e um monomio, binomio outrinomio, e o grau correspondente:

a)2x2 :

b)4x3

+ 3x2

+ 1 :

c)2x5 1 :

d)2x6 2x4 x2 :

e) 1

3xy2 :

f) 3 :

2

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Respostas:

1)

a) x+ 1 + 2x+ 2, isto e, 3x+ 3.

b)3(x+y), isto e, 3x+ 3y.

c) y+ 2(x+ 3), isto e, y+ 2x+ 6.

d)4(2x) + 4(x) + 2(4x), isto e, 8x+ 4x+ 8x, isto e, 20x.

e)10x+y

2, isto e, 10x+ 5y.

2)

a)

x y

b) x

2+ 3y

c) xy+ 10

3)

a)4(2) + (10) = 8 10 = 2.

b)1 +

1

2

2= 1 +

1

4=

4 + 1

4 =

5

4.

c)(2)2 + (2) = 4 2 = 2.

d) 2 + 1

2 1+1 + 2

1 2=3

1+

3

(1)= 3 3 = 0.

e)2 + (2) + 1000 = 1000.

f)

(3(2) + 3)9 =

(6 + 3)9 =

9 9 =

81 = 9.

4)

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a)monomio de grau 2.

b)trinomio de grau 3.

c)binomio de grau 5.

d)trinomio de grau 6.

e)monomio de grau 3.

f) monomio de grau 0.

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c2013 Christine Cordula Dantas

Copyright notice: Christine Cordula Dantas is the author of Matematica - Ensino Funda-mental - Lista 4 - 2013 - 8o. Anoand reserves all rights to this work, in all forms, including

but not limited to all printed and electronic forms. You have permission to copy this mate-rial for your personal use only. You may not distribute or commercially exploit the content.Nor may you transmit it or store it in any other website or other form of electronic retrievalsystem. All efforts were given to give the proper source, credits and licence information forthis document. In case of errors or omissions, please contact the author.

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Corrections, Suggestions and Acknowledgements: Earlier drafts of this work weremade available over the web. All efforts were made in order to release this material as

free of errors as possible. Corrections and suggestions are very welcomed and will be hereacknowledged in future versions.

Authors Affiliation and Contact Information:

Materials Division (AMR-C)Institute of Aeronautics and Space (IAE)

Department of Science and Aerospace Technology (DCTA)Pca. Mal. Eduardo Gomes, 50Vila das AcaciasSao Jose dos Campos - SPCEP 12.228-904Brazil

E-mails: christineccd@iae.cta.br; ccordulad@gmail.com

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