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Preparing for Assessment
76.
For what value of
x
is
√
x
-
8
=
1
-
√
x
?
1
A
1.5
B
4.5
C
20.25
D
no real solution
77.
The equation
v
=
√
64
h
approximates the velocity
v
of a roller coaster car, in feet per second, at the
bottom of a hill
h
feet high. If the car travels at a
velocity of 55 feet per second at the bottom of a
hill, how high is the hill? Round to the nearest
tenth of a foot.
1
78.
If (2
y
+
3)
1
_
3
+
2
=
5, what is the value of
y
?
6
A
6
B
12
C
30
D
170
79.
If
√
p
-
1
=
2
_
w
+
3, what is the value of
p
in terms of
w
?
5
A
p
=
4
_
w
2
+
16
B
p
=
4
_
w
2
+
10
C
p
=
4
_
w
2
+
6
_
w
+
10
D
p
=
4
_
w
2
+
12
_
w
+
10
E
p
=
4
_
w
2
+
12
_
w
+
16
80.
Solve for
x
.
6
3
+
√
3
x
+
2
=
9
A
68
_
5
C
22
_
9
B
34
_
3
D
12
81.
Solve for
x
.
6
√
9
x
+
18
≥
x
-
2
82.
MULTI-PART
Consider the following equation.
√
x
-
4
+
1
=
5
1 3, 6,
a.
Which lines of the work shown correctly belong
in the solution of the equation above? Choose all
that apply.
A
√
x
-
4
=
4
B
(
√
x
-
4
)
2
+
1
2
=
4
C
(
√
x
-
4
)
2
=
4
D
x
-
4
=
16
E
(
√
x
-
4
)
2
=
24
F
x
2
=
20
b.
What is the solution to
√
x
-
4
+
1
=
5?
A
√
20
B
√
20
C
4
D
20
c.
How can you check the answer?
d.
Without doing the arithmetic, rearrange the
equation to show the solution. (Write the
equation as
x
=
... with an arrangement of 4, 1,
and 5 on the other side.)
83. a.
Why does the solution to 11
+
√
11
x
-
123
≤
14
have two parts?
1
b.
Solve for both parts of the solution of
11
+
√
11
x
-
123
≤
14.
c.
Does the inequality have a real solution?
84.
Find the height of a right triangle whose area is
27 square centimeters with a base of 3 cm and a
height of
√
3
x
-
5centimeters.
1, 6
A
329
_
3
B
34
_
3
C
18
D
21
358
|
Lesson 5-6
|
Solving Radical Equations