10
Chapter 1
Solving
L
inear
E
quations
49.
USING STRUCTURE
Use the va
lues
2, 5, 9, and 10
to complete each statement about the equation
ax
b
5.
a.
When
a
___ and
b
___,
x
is a positiv
e integ
er
.
b.
When
a
___ and
b
___,
x
is a negati
ve i
nteger
.
50.
HOW DO
Y
OU SEE IT?
The circle graph show
s the
percents of diff
erent animals sold at a local pet store
in 1 year
.
Dog:
48%
Bird:
7%
Rabbit:
9%
Hamster:
5%
Cat:
x
%
a.
What percent is represented by the entire circle?
b.
How does t
he equation 7
+
9
+
5
+
48
+
x
100
relate to the circle graph? How
can you use this
equation to
nd the percent of cats sold?
51.
REASONING
One-sixth of the girls and two-se
vent
hs
of the boys in a school marching band are in the
percussion section. The percussion section has 6 girls
and 10 boys. How
many students are in the marching
band? Explain.
52.
THOUGHT PROVOK
ING
Write a real-life problem
that can be modeled by an equation equi
v
alent to the
equation 5
x
30. Then solv
e the equation and write
the answer in the context of your real-life problem.
MA
THEMA
TICAL CONNECTIONS
In Exercises 53–
56
,
nd
the height
h
or the area of the base
B
of the solid.
53.
B
7 in.
54.
h
B
147 cm
2
Vo
lume
84
π
in.
3
V
olume
1323 cm
3
55.
B
5 m
56.
h
B
30 ft
2
Vo
lume
15
π
m
3
Vo
lume
35 ft
3
57.
MAKING AN ARGUMENT
In baseball, a player’
s
batting a
v
erage is calculated by di
viding the number
of hits by the number of at-bats. The table sho
ws
Player
A’
s
batting av
erage and number of at-bats for
three regular seasons.
Season
B
atting av
erage
A
t-b
ats
2010
.312
596
2011
.296
446
2012
.295
599
a.
How man
y hits did Player
A
have i
n the 2011
regular season? Round your answer to the nearest
whole number
.
b.
Player B had 33 few
er hits in the 2011 season than
Player
A b
ut had a greater batting a
v
erage.
Y
our
friend concludes that Player B had more at-bats in
the 2011 season than Player
A. Is your friend
correct? Explain.
Maintainin
g Mathematic
al Profi
ciency
Maintainin
g Mathematic
al Profi
ciency
Use the Distributi
ve Prop
erty to simplify the expression.
(
Skills Review
Handbook)
58.
8(
y
+
3)
59.
5
—
6
(
x
+
1
—
2
+
4
)
60.
5(
m
+
3
+
n
)
61.
4(2
p
+
4
q
+
6)
Copy and complete the statement. Round to the nearest hundr
edth, if necessary
.
(Skills Review
Handbook)
62.
5 L
—
min
L
—
h
63.
68 mi
—
h
≈
mi
—
sec
64.
7 gal
—
min
≈
qt
—
sec
65.
8 km
—
min
≈
mi
—
h
Reviewing what you learned in pre
vious grades and lessons
English
Spanish