Name

Practice CFor use with pages 502-508

Evaluate the exPression.

3-4 .3-1

I10=

1s[+] '\)/

Simplify the expression. Write your allswer using only

c@

o

Q*,3y4)-z

@#x-5v4

16' c*iT

o22.

@#=;

c6I

positiveI15.

g-4 .98

5-6

5*

,r(4\\2'l

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8.

@,#.14.

c*\J^*20 u-a

17' 6+ry

(s - t1+

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g-8

d-t.lL\\ tzol

exponents.

1

6*ar*10

(b)-ayg

-fy-'(+r5'P,4.rV

-=I .:a*ba-L + b-L

18.

fTell'whether the statement is frue ot false for all nonzero vah.les of a andb. If it is .false, give a counterexample.

a-s I_:-a-6 a

Guitar The world's smallest gurtar is only 10-5 meter talt. An average guitar isabout 100 meter tall. How many times taller is an average guitar than the world'ssmallest guitar?

Knitting Needles A size 1 knitting needle has a diameter of about 4-1 centimeterand a size 8 knitting needle has a diameter of about 2-1 centimeter.

a. How many times larger is the diameter of a size 8 needle than the diameter of asize I needle?

b. .Suppose that each needle is 14 inches long. Write expressions for theapproximate vqlume of each size of lnitting needle. Use the formula for thevolume of a cylinder V: r*h.

c. How many times larger is the approximate volume of a size 8 needle than theapproximate volume of a size I needle?

d. Are yonr approximations in part (b) overestimates or underestimates? Explainyour reasoning.

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Eo-,Q-= -J.

=ooE

.o:=G

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o

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Algebra tChapter 8 Hesource Book 29

Name

Practice BFor use with pages 502-508

t

7.

10.

Evaluate the exPression,

1.3-s

4; 50/r\-2\a/

i0-2. 10-3

l0-3

4-6 .43

17. a2b-a

zo. (zmn3)o

?4-6/4\0li/g-s

G@

9.

@,*t

18.

21.

/;)V

(*o0

l7 \3t-t\4/

e#

3x-\t-s

c'a-

I_-__T;3x-'y-'

>GaEL):=o

o!

o

'6:=(o

6=,6EJ

oo

@v..9ao(-)

27.

(

oo

8.

11.

Sinaplify the expression. Write your answer uslng only positlve exporlents.

13. x-7 14. 6y-a Is. (201-s"

G) ?3*)-a\--l

G)t*-'tr-2

zz. 2=y-+

25. Paper A sheet of67-pound paper has a ihickness of 100-l inch.

a. write and evaluate an expression for the total thickness of 5 sheets of67-pound paper.

b. Write and evaluate an expression for the total thickness of 23 sheets of67-pound paper.

Frogs A frog egg cwrently has a radius of 5-1 centimeter. Write an expressionusing positive exponents for the volume of the frog egg. Use the formula for the

volume of a sphere Y = tnf .

Metric System The metric system has names for very small lengths.

a. One micrometer is i03 times the length of one nanometer. One nanometer is10-9 meter. Write one micrometer in meters.

b. One femtometer is 101 times the length of one attometer. One attometer is10-18 meter. Write one femtometer iri meters.

c. One centimeter is 10i0 times the length of one picometer. One picometer is10-12 meter. Write one centimeter in meters.

Algebra tChapter B Besource Book28