Section 1.2
Solving
M
ulti-Step
E
quations
17
USING EQU
A
TIONS
In Exercises 35−37, write and solv
e
an equation to answer the question. Check that the units
on each side of the equation balance.
(See Examples 4
and 5.)
35.
During the summer,
you work 30 hours per week at
a gas station and earn $8.75 per hour
.
Yo
u also work
as a landscaper for $11 per hour and can work as
many hours as you wa
nt.
Yo
u want to earn a total of
$400 per week. How
many hours must you wo
rk as
a landscaper?
36.
The area of the surface of the swimming pool is
210 square feet. W
hat is the length
d
of the deep
end (in feet)?
9 ft
10 ft
d
deep
end
shallow
end
37.
Yo
u order two tacos and a salad. T
he salad costs
$2.50.
Yo
u pay 8% sales tax and leav
e a $3 tip.
Yo
u
pay a total of $13.80. How
much does one taco cost?
JUSTIFYING STEPS
In Exercises 38 and 39, justify each
step of the solution.
38.
1
—
2
(5
x
8)
1
6
Write the equation.
1
—
2
(5
x
8)
7
5
x
8
14
5
x
6
x
6
—
5
39.
2(
x
+
3)
+
x
9
Write the equation.
2(
x
)
+
2(3)
+
x
9
2
x
+
6
+
x
9
3
x
+
6
9
3
x
15
x
5
ERROR ANAL
Y
SIS
In Exercises 40 and 41, describe and
correct the err
or in solving the equation.
40.
−
2(7
−
y
)
4
=
−
4
−
14
−
2
y
4
=
−
4
−
10
−
2
y
=
−
4
−
2
y
=
6
y
=
−
3
✗
41.
1
—
4
(
x
−
2)
4
=
12
1
—
4
(
x
−
2)
=
8
x
−
2
=
2
x
=
4
✗
MA
THEMA
TICAL CONNECTIONS
In Exercises 42−
44
,
write and solve an equation to answer the question.
42.
The perimeter of the tennis court is 228 feet. W
hat are
the dimensions of the court?
2
w
+
6
w
43.
The perimeter of the Norwe
gian
ag is 190 inches.
What are the dimensions of the
ag?
y
y
11
8
44.
The perimeter of the school crossing sign is
102 inches. W
hat is the length of each side?
s
+
s
6
+
6
s
s
2
s
English
Spanish