8
Chapter 1
Solving
L
inear
E
quations
Dynamic Solutions
available at
BigIdeasMath.c
om
Exerci
ses
1.1
Monitoring P
rogres
s and Modeling
with Mathematic
s
Monitoring Progr
ess and
Modeling with Mathematics
In Exercises 5–14, solv
e the equation
. Ju
sti
fy each step.
Check your sol
ution.
(
See Example 1.)
5.
x
+
5
8
6.
m
+
9
2
7.
y
4
3
8.
s
2
1
9.
w
+
3
4
10.
n
6
7
11.
14
p
11
12.
0
4
+
q
13.
r
+
(
8)
10
14.
t
(
5)
9
15.
MODELING WITH
MA
THEMA
TICS
A discounted
amusement park ticket costs $12.95 less than the
original price
p
. Wri
te and solve an equation to
nd
the original price.
16.
MODELING WITH
MA
THEMA
TICS
Yo
u and a friend
are playing a board game.
Y
our
nal s
core
x
is
12 points less than your friend’
s
nal
score.
Write
and solv
e an equation to
nd your
nal s
core.
ROUND
9
ROUND
10
FINAL
SCORE
You
r Friend
You
USING TOOLS
The sum of the angle measures of a
quadrilateral is 360
. In Exercises 17–20, write and
solve an equation to
nd th
e value of
x
. Use a protractor
to check the r
easonableness of y
our answer
.
17
.
1
8.
x
°
150
°
77
°
48
°
19.
2
0.
In Exercises 21–
30
, solve the equation. Ju
stify each step.
Check your sol
ution.
(
See Example 2.)
21.
5
g
20
22.
4
q
52
23.
p
5
3
24.
y
7
1
25.
8
r
64
26.
x
(
2)
8
27
.
x
—
6
8
28.
w
—
3
6
29.
54
9
s
30.
7
t
—
7
x
°
100
°
120
°
100
°
76
°
92
°
122
°
x
°
x
°
60
°
115
°
85
°
1.
VOCABULARY
Which of the operations
+
,
,
×
, and
are inv
erses of each other?
2.
VOCABULARY
Are the equations
2
x
10 and
5
x
25 equi
v
alent? Explain.
3.
WRITING
Which property of equality would you use to solve
the equation 14
x
56? Explain.
4.
WHICH ONE DOESN’T BELONG?
Which expression does not belong with the other three? Explain
your reasoning.
8
x
—
2
3
x
4
x
6
5
x
—
3
9
Voca
bulary
and Core
Concept Check
Voca
bulary
and Core Concept
Check
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