Name
Practice C
For use with pages 502-508
Evaluate the exPression.
c
3-4 .3-1
I
@ 10=
o
'
1s[+]
\)/
@
o
8.
g-4 .98
5-6
5*
,r(4\
\2'l
c
(s
I
d-t.lL\
6
I
-
t1+
8- lo
g-8
\
tzol
Simplify the expression. Write your allswer using only positive exponents.
Q*,3y4)-z
@#
16'
x-5v4
c*iT
@,#
.14.
17'
c*\J^*
20
u-a
6+ry
15.
18.
1
6*ar*10
(b)-ayg
-fy-'
(+r5'P
,4.rV
Tell'whether the statement is frue ot false for all nonzero vah.les of a and
b. If it is .false, give a counterexample.
o
f
*
a-s
_:a-6
I
a
@#=;
.:a*b
-=I
a-L + b-L
22. Guitar The world's smallest gurtar is only 10-5 meter talt. An average guitar is
about 100 meter tall. How many times taller is an average guitar than the world's
(o
smallest guitar?
E
o
-,Q
-=
=
o
o
E
.o
-J.
Knitting Needles A size 1 knitting needle has a diameter of about 4-1 centimeter
and 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 a
size I needle?
b.
.Suppose that each needle is 14 inches long. Write expressions for the
approximate vqlume of each size of lnitting needle. Use the formula for the
:=
volume of a cylinder
G
E
:i
o
g,
o
Cf
a
V: r*h.
c.
How many times larger is the approximate volume of a size 8 needle than the
approximate volume of a size I needle?
d.
Are yonr approximations in part (b) overestimates or underestimates? Explain
your reasoning.
@
o
o
C-)
(
Algebra
t
Chapter 8 Hesource Book
29
Name
Practice
B
For use with pages 502-508
t
Evaluate the exPression,
o
o
1.3-s
4;
50
7.
/r\-2
10.
i0-2.
8.
\a/
G
l0-3
(*o0
/4\0
@ li/
l7 \3
t-t
9. g-s
\4/
11. 4-6 .43
10-3
?4-6
@,*t
Sinaplify the expression. Write your answer uslng only positlve exporlents.
13.
G)
\--l
x-7
14.
6y-a
Is.
(201-s"
?3*)-a
17.
a2b-a
18.
3x-\t-s
zo.
(zmn3)o
21.
a-
G)t*-'tr
e#
-2
2=
zz. y-+
/;)
V
c'
I
_-__T;
3x-'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 of
67-pound paper.
b.
Write and evaluate an expression for the total thickness of 23 sheets of
67-pound paper.
Frogs A frog egg cwrently has a radius of 5-1 centimeter. Write an expression
using positive exponents for the volume of the frog egg. Use the formula for the
volume of a sphere Y
=
tnf
b.
E
L)
:
=
o
.
27. Metric System The metric system has names for very small lengths.
a.
>
G
a
One micrometer is i03 times the length of one nanometer. One nanometer is
10-9 meter. Write one micrometer in meters.
One femtometer is 101 times the length of one attometer. One attometer is
10-18 meter. Write one femtometer iri meters.
c. One centimeter is 10i0 times the length
of one picometer. One picometer is
10-12 meter. Write one centimeter in meters.
!
o
o
'6
:=
(o
6
=
,6
EJ
oo
@
v.
.9
a
o
(-)
(
Algebra
28
t
Chapter B Besource Book