54. FIND IHE ERROR
Explain your
jamal and Angelina are simplifyin
reasoning.
\Mho is correct?
A
Angdina
Jamal
-1x3
,54
3t=-orr-,
x-
= -4x-7
,1
-
Exercise Alert!
Error For Exercise l+,
Find the
5
remind students that a negatirre nrd
is different from a number raid ba
-z
=-T
=3
xz
55.
g+r)
negative exponent.
7
1,'
ira Math Use the information about pH levels on page 966 to
explain how you can use the properties of exponents to compare measures
on the pH scale. Demonstrate an example comparing two pH levels using
the properties of exponents. See margin.
Aaihaq,
Yesterdafs News
Ask
studen6b
write two ways in which the conaepb
multiplying monomials helped ilrenr I
understand dividing monomiah
ffion- many times greater is the
mfoffie of the larger cube than
fur-olumeof thesmallercube?
@
s7. REVIEW AQRS is similar to ATUV.
\Arhat is the tength of UVZ J
Check for student understanding
G
concepts in Lessons
o
trl
8/ \
"AT
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ci
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roAo
uv
Quiz 1, p. s9
Additional Answers
F 11.0 G2.3 IJI.7
I
J
46.
1.5
+l0/ -L.r'
loe
lm*;*-55.
Beview
(Lesson
t*-r)(*n2)
itui5)2 gczdlo
ss.
(sxaf)(+x\)
sz.lbr)21'
212
n*Y
60. (a3x2)a
-1
For Exercises 64 and 65, use the following information.
Wuumuean the ages of 11 and 18, you should get at least 1200 milligrams of
(@lnrriin each day. One ounce of mozzarella cheese has 147 milligrams of
ilot*mum, and one ounce of Swiss cheese has 219 milligrams. Suppose you want
ilu @r no more than 8 ounces of cheese. (Leson 6-8)
il
08a3re
d
compare a pH of 8 with a pH
requires simplifying the qudienl
I
/ \8
.
\ro/
of powers,7fr
of 8 is ten times more acidic tha
apHofg.
64.
mozzarella, 3 oz ol Swiss; 5 oz ol mozzarella, 3 oz 0l Swiss
rr, :]fr 20
67. b3
+ 3ac
37
-
5, b
: -2,
and. c
:
3.
= 10. Thus, a I
l.ro/
Drarv a graph showing the possible amounts of each type of cheese you
;arr eat and still get your daily requirement of calcium. Let x be the amount
'lr mozzarella cheese and y be the amount of Swiss cheese. See margin.
ECQUISITE SKl[[ Evaluate each expression when a
You can compare pH levets by
in
. : (+)*. sampte ansr/rq: b
nlzf
ss. (-sau)3(zuz)2
or 4096
r^odoopm sn
finding the ratio of one pH b
another written in terms of the
concentration c of hydrogm
7-l)
mans
d
7-l andT-L
(Lesson r-2)
68. -2b4
-
5b3
- b 10
Lesson 7-2 Dividing Monomials
373
147x+219v=1
Lesson 7-2 Dividing Monomials
in
? 'j.
SIANDARDIZED TEST PRACT|CE
Find the
Volume of
sphere =
:atio of the volume of the cylinder to the
-,'olume of the
sphere. D
2
c+
4
D+
1
t
frr:
Volume of
qlinder = nr2h
Simplify. Assume that no denominator is
equal to zero.
{
l+.
4roorl,tt48,s76
15.
4
t6.;+
o7
36 or729
3',
n3
p"n
-.l-9
,r. lsurn\2 2sbsn2
2o6
tlzt
17'
1/Z-
\
-
-l I
-r.c\0
ii r-r
/
20.
\
E. I 3*, \n B1n2B
\+rtyt J 256i20y12
22.6-2
-36
4a12
" (gYS',
1
/
zl. 5-3
J
1
24.
125
1
(!\' E
\5/
* (+)'*
16
-/
16. rt_lu-+lln_51
\, /.
zt.ffiuac+
|
n3p4
29. The area of the rectangle js 24x5U3
square units. Find the length of
therectangle.
''''l
*
3lyunils "
29,
'l
r3oo*-z
"f
30. The area of the triangle is 100a3b
square units. Find the height of
the triangle. 1Oaf unils
l
i,.
I
,
I
gr3y2
I
I
I
ll
'-l..
20a2
Simplify. Assume that no denominator is
equal to zero.
11. -2a3
"''
1ol - b,s
1
19"3,,4"7
34. --:+'
_ zx-az
_t
37.P'q"
(r,'qr1-'
32'
15b
,U, -79yoza
-gxtff
-3216
p
,,
1
45bE 36n
Shk_3
r\-2
- ')
\5'
61q17
13
/
19
36.
1
(zrult
3212
/-.-z,s\o
".(f/
q
30lt zpt+
loo9
,r. lsa-r"'\-r
1
\n'z " I
bz
sn'f
PR'BABI'ITY For Exercises 40 and 41,
usethe forrowing information.
if you toss a coin, the probability of getting heads
is
n youtoss
a coin 2
|.
rimes, the probabitity of getting heads
each time is
t. I _ (l), *
(i),
40' write an expression to represent the
probab'ity of tossing a coin n times
and getting n heads.
41. Express your answer to Exercise
40 as a power
o{2.
2_n
Lesson 7-2 Dividing
Use
Monomials 371
after Exercise 4t.
hat if you throw a die. the probabirity
of getting a three is
r you throw a die 2 times,
y of getting a three each
.
time ir
* rr (*)' . Ask them to wrire an expression using a
t*nt to represent the probabirity of throwing
a die n times and getting n threes.
f.
*