16
Chapter 1
Solving
L
inear
E
quations
Exerci
ses
1.2
Dynamic Solutions
available at
BigIdeasMath.c
om
Monitoring P
rogres
s and Modeling
with Mathematic
s
Monitoring Progr
ess and
Modeling with Mathematics
In Exercises 3−14, solve
the equation. Check yo
ur
solution.
(
See Examples 1 and 2.)
3.
3
w
+
7
19
4.
2
g
13
3
5.
11
12
q
6.
10
7
m
7.
5
z
—
4
3
8.
a
—
3
+
4
6
9.
h
+
6
—
5
2
10.
d
8
—
2
12
11.
8
y
+
3
y
44
12.
36
13
n
4
n
13.
12
v
+
10
v
+
14
80
14.
6
c
8
2
c
16
15.
MODELING WITH
MA
THEMA
TICS
The altitude
a
(in feet) of a plane
t
minutes after liftoff
is giv
en by
a
3400
t
+
600. How man
y minutes
after liftoff
is the plane
at an altitude of
21,000 feet?
16.
MODELING WITH
MA
THEMA
TICS
A repair bill for
your car is $553. The parts cost $265.
The labor cost
is $48 per hour
.
Write and solv
e an equation to
nd
the number of hours of labor spent repairing the car
.
In Exercises 17−24, solve
the equation. Check yo
ur
solution.
(
See Example 3.)
1
7
.
4(
z
+
5)
32
18.
2(4
g
3)
30
19.
6
+
5(
m
+
1)
26
20.
5
h
+
2(11
h
)
5
21.
27
3
c
3(6
2
c
)
22.
3
12
y
5(2
y
7)
23.
3(3
+
x
)
+
4(
x
6)
4
24.
5(
r
+
9)
2(1
r
)
1
USING TOOLS
In Exercises 25−28,
nd th
e value of the
variable. Then
nd the
angle measures of the polygon.
Use a protractor to check the r
easonableness of
y
our answer
.
25.
45
°
k
°
2
k
°
Sum of angle
measures: 180
26.
2
a
°
2
a
°
a
°
a
°
Sum of angle
measures: 360
27
.
(2
b
90)
b
b
90
(
b
+
45)
3
2
Sum of angle
measures: 540
28.
In Exercises 29−34, write and solv
e an equation to
nd
the number
.
29.
The sum of twice a number and 13 is 75.
30.
The diff
erence of three times a number and 4 is
19.
31.
Eight plus the quotient of a number and 3 is
2.
32.
The sum of twice a number and half the number is 10.
33.
Six times the sum of a number and 15 is
42.
34.
F
our times the dif
ference of a number and 7 is 12.
(
x
+
10)
°
120
°
120
°
100
°
x
°
120
°
Sum of angle
measures: 720
Voca
bulary
and Core
Concept Check
Voca
bulary
and Core Concept
Check
1.
COMPLETE THE S
ENTENCE
To
solve the equation 2
x
+
3
x
20,
rst combine 2
x
and 3
x
because
they are _________.
2.
WRITING
Describe two ways to solv
e the equation 2(4
x
11)
10.
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