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Practice and Problem Solving
Extra Practice is on page R5.
Solve each equation. Confirm by using a graphing calculator.
23.
√
2
x
+
5
-
4
=
3
24.
6
+
√
3
x
+
1
=
11
25.
√
x
+
6
=
5
-
√
x
+
1
26.
√
x
-
3
=
√
x
+
4
-
1
27.
√
x
-
15
=
3
-
√
x
28.
√
x
-
10
=
1
-
√
x
29.
6
+
√
4
x
+
8
=
9
30.
2
+
√
3
y
-
5
=
10
31.
√
x
-
4
=
√
2
x
-
13
32.
√
7
a
-
2
=
√
a
+
3
33.
√
x
-
5
-
√
x
= -
2
34.
√
b
-
6
+
√
b
=
3
35.
SENSE-MAKING
Isabel accidentally dropped her keys from the top of a Ferris
wheel. The formula
t
=
1
_
4
√
d
-
h
describes the time
t
in seconds at which the keys are
h
meters above the ground and Isabel is
d
meters above the ground. If Isabel was
65 meters high when she dropped the keys, how many meters above the ground will
the keys be after 2 seconds?
Solve each equation.
36.
(5
n
-
6)
1
_
3
+
3
=
4
37.
(5
p
-
7)
1
_
3
+
3
=
5
38.
(6
q
+
1)
1
_
4
+
2
=
5
39.
(3
x
+
7)
1
_
4
-
3
=
1
40.
(3
y
-
2)
1
_
5
+
5
=
6
41.
(4
z
-
1)
1
_
5
-
1
=
2
42.
2(
x
-
10)
1
_
3
+
4
=
0
43.
3(
x
+
5)
1
_
3
-
6
=
0
44.
3
√
5
x
+
10
-
5
=
0
45.
3
√
4
n
-
8
-
4
=
0
46.
1
_
7
(14
a
)
1
_
3
=
1
47.
1
_
4
(32
b
)
1
_
3
=
1
48.
MULTIPLE CHOICE
Solve
4
√
y
+
2
+
9
=
14.
A
23
B
53
C
123
D
623
49.
MULTIPLE CHOICE
Solve (2
x
-
1)
1
_
4
-
2
=
1.
F
41
G
28
H
13
J
1
Solve each inequality.
50.
1
+
√
5
x
-
2
>
4
51.
√
2
x
+
14
-
6
≥
4
52.
10
-
√
2
x
+
7
≤
3
53.
6
+
√
3
y
+
4
<
6
54.
√
2
x
+
5
-
√
9
+
x
>
0
√
d
+
3
+
√
d
+
7
>
4
56.
√
3
x
+
9
-
2
<
7
57.
√
2
y
+
5
+
3
≤
6
58.
-
2
+
√
8
-
4
z
≥
8
59.
-
3
+
√
6
a
+
1
>
4
60.
√
2
-
√
b
+
6
≤ -
√
b
61.
√
c
+
9
-
√
c
>
√
3
62.
PENDULUMS
The formula
s
=
2
π
√
ℓ
_
32
represents the swing of a pendulum, where
s
is
the time in seconds to swing back and forth and
ℓ
is the length of the pendulum in
feet. Find the length of a pendulum that makes one swing in 1.5 seconds.
63.
TURTLES
The relationship between the length and weight of certain turtles can be
approximated by the equation
L
=
0.55
3
√
W
, where
L
is the length in feet and
W
is the
weight in pounds. Solve this equation for
W
.
Example 1
Example 2
Example 3
Example 4
55
356
|
Lesson 5-6
|
Solving Radical Equations