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Math Problems
Grade 8
Evaluate radical expressions
The value of
87
\sqrt{87}
87
is between which two whole numbers?
\newline
8
8
8
and
9
9
9
\newline
9
9
9
and
10
10
10
\newline
43
43
43
and
44
44
44
\newline
81
81
81
and
100
100
100
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If
j
=
4
j = 4
j
=
4
, what is
21
+
j
\sqrt{21 + j}
21
+
j
?
\newline
_____
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If
y
=
6
y = 6
y
=
6
, what is
y
+
10
\sqrt{y + 10}
y
+
10
?
\newline
_____
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If
b
=
12
b = 12
b
=
12
, what is
3
b
\sqrt{3b}
3
b
?
\newline
____
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If
d
=
24
d = 24
d
=
24
, what is
d
+
12
\sqrt{d + 12}
d
+
12
?
\newline
____
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If
u
=
4
u = 4
u
=
4
, what is
16
u
\sqrt{16u}
16
u
?
\newline
_____
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If
j
=
2
j = 2
j
=
2
, what is
8
j
\sqrt{8j}
8
j
?
\newline
_____
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If
d
=
2
d = 2
d
=
2
, what is
32
d
\sqrt{32d}
32
d
?
\newline
____
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If
m
=
14
m = 14
m
=
14
, what is
11
+
m
\sqrt{11 + m}
11
+
m
?
\newline
____
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If
q
=
3
q = 3
q
=
3
, what is
12
q
\sqrt{12q}
12
q
?
\newline
____
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If
m
=
7
m = 7
m
=
7
, what is
9
+
m
\sqrt{9 + m}
9
+
m
?
\newline
_____
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If
y
=
8
y = 8
y
=
8
, what is
2
y
\sqrt{2y}
2
y
?
\newline
_____
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If
t
=
3
t = 3
t
=
3
, what is
t
+
22
\sqrt{t + 22}
t
+
22
?
\newline
____
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If
r
=
2
r = 2
r
=
2
, what is
r
+
2
\sqrt{r + 2}
r
+
2
?
\newline
____
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If
r
=
9
r = 9
r
=
9
, what is
4
r
\sqrt{4r}
4
r
?
\newline
_____
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If
q
=
6
q = 6
q
=
6
, what is
6
q
\sqrt{6q}
6
q
?
\newline
____
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2
2
2
\newline
If
4
3
x
+
5
3
x
4 \sqrt{3 x}+5 \sqrt{3 x}
4
3
x
+
5
3
x
is equal to
a
b
x
a \sqrt{b x}
a
b
x
, what is
a
+
b
a+b
a
+
b
?
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2
2
2
\newline
If
4
6
\sqrt{4} \sqrt{6}
4
6
is equal to
x
\sqrt{x}
x
, what is the value of
x
x
x
?
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Arllhmettic with rational numbers:
\newline
0
0
0
\newline
1
1
1
\newline
2
2
2
\newline
3
3
3
\newline
1
1
1
. How many groups of
1
8
\frac{1}{8}
8
1
are in
3
3
3
?
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e)
1
x
−
1
+
x
−
1
=
2
\frac{1}{\sqrt{x-1}}+\sqrt{x-1}=2
x
−
1
1
+
x
−
1
=
2
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Let
x
=
7
+
7
+
7
+
x=\sqrt{7+\sqrt{7+\sqrt{7+}}}
x
=
7
+
7
+
7
+
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Let
x
=
7
+
7
+
7
+
…
x=\sqrt{7+\sqrt{7+\sqrt{7+\ldots}}}
x
=
7
+
7
+
7
+
…
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If
sec
q
=
25
7
\sec q = \frac{25}{7}
sec
q
=
7
25
, find the value of
tan
q
\tan q
tan
q
.
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3
3
3
. If
C
D
E
F
C D E F
C
D
EF
is a parallelogram, find
m
∠
F
C
D
m \angle F C D
m
∠
FC
D
.
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Q
6
6
6
:
y
(
x
)
=
∫
A
d
x
+
d
d
x
(
A
)
y(x)=\int A d x+\frac{d}{d x}(A)
y
(
x
)
=
∫
A
d
x
+
d
x
d
(
A
)
, where
A
=
ln
(
x
−
1
2
)
A=\ln \left(\sqrt{\frac{x-1}{2}}\right)
A
=
ln
(
2
x
−
1
)
, then the value of
y
(
2
)
y(2)
y
(
2
)
is?
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If
u
2
−
u
t
=
6
u^2-ut=6
u
2
−
u
t
=
6
and
t
2
−
u
t
=
−
2
t^2-ut=-2
t
2
−
u
t
=
−
2
, what is the value of
2
(
u
−
t
)
2
2(u-t)^2
2
(
u
−
t
)
2
?
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E
F
G
H
EFGH
EFG
H
is a rhombus. Given
E
G
=
16
EG=16
EG
=
16
and
F
H
=
12
FH=12
F
H
=
12
, what is the length of one side of the rhombus?
\newline
6
6
6
units
\newline
8
8
8
units
\newline
10
10
10
units
\newline
14
14
14
units
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