18
Chapter 1
Solving
L
inear
E
quations
45.
COMPA
RING METHODS
Solve the equation
2(4
8
x
)
+
6
1 using (a) Method 1 from
Example 3 and (b) Method 2 from Example 3.
Which method do you prefer? Explain.
46.
PROBLEM SOL
VING
An online ticket agency
charges
the amounts show
n for basketball tickets.
The total
cost for an order is $220.70. How
many tickets
are purchased?
Charge
A
mount
Tick
et price
$
32.50 per ticket
Conv
enience charg
e
$
3.30 per ticket
Processing char
ge
$5.90 per order
47.
MAKING AN ARGUMENT
Yo
u have
quarters and
dimes that total $2.80.
Y
our friend says it is possible
that the number of quarters is 8 more than the number
of dimes. Is your friend correct? Explain.
48.
THOUGHT PROVOK
ING
Yo
u teach a math class and
assign a weight to each component of the class.
Y
ou
determine
nal grades by totaling the products of the
weights and the component scores. Choose va
lues for
the remaining weights and
nd the necessary score on
the
nal e
xam for a student to earn an
A (90%) in the
class, if possible. Explain your reasoning.
Component
Student’
s
score
Weight
Score
Weight
Class
Participation
92%
0.20
92%
×
0.20
18.4%
Homework
9
5%
Midterm
Exam
88%
Final Exam
T
otal
1
49.
REASONING
An ev
en integ
er can be represented by
the expression 2
n
, where
n
is an
y inte
ger
. Find three
consecutiv
e eve
n integers that ha
ve a
sum of 54.
Explain your reasoning.
50.
HOW DO
Y
OU SEE IT?
The scatter plot show
s the
attendance for each meeting of a gaming club.
Gaming Club Attendance
Club
Attendance
Students
0
5
10
15
20
25
y
Meeting
1
2
34
x
18
21
17
a.
The mean attendance for the
rst four meetings
is 20. Is the number of students who attended
the fourth meeting greater than or less than 20?
Explain.
b.
E
stimate the number of students who attended
the fourth meeting.
c.
D
escribe a way you can check your estimate in
part (b).
REASONING
In Exercises 51−56, the letters
a
,
b
, and
c
represe
nt nonzero constants. Solv
e the equation fo
r
x
.
51.
bx
7
52.
x
+
a
3
—
4
53.
ax
b
12.5
54.
ax
+
b
c
55.
2
bx
bx
8
56.
cx
4
b
5
b
Maintainin
g Mathematic
al Profi
ciency
Maintainin
g Mathematic
al Profi
ciency
Simplify the expression.
(
Skills Review
Handbook)
57.
4
m
+
5
3
m
58.
9
8
b
+
6
b
59.
6
t
+
3(1
2
t
)
5
Determine whether (a)
x
=
−
1 or (b)
x
=
2 is a solution of the equation.
(
Skills Review
Handbook)
60.
x
8
9
61.
x
+
1.5
3.5
62.
2
x
1
3
63.
3
x
+
4
1
64.
x
+
4
3
x
65.
2(
x
1)
1
3
x
Reviewing what you learned in pre
vious grades and lessons
English
Spanish