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Math Problems
Grade 8
Estimate positive square roots
Complete the following statement. Use the integers that are closest to the number in the middle.
\newline
____
<
<
<
62
\sqrt{62}
62
<
<
<
____
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Which two integers is
44
\sqrt{44}
44
between?
\newline
Choices:
\newline
(A)
6
6
6
and
7
7
7
\newline
(B)
7
7
7
and
8
8
8
\newline
(C)
5
5
5
and
6
6
6
\newline
(D)
4
4
4
and
5
5
5
Get tutor help
Which two integers is
60
\sqrt{60}
60
between?
\newline
Choices:
\newline
(A)
10
10
10
and
11
11
11
\newline
(B)
7
7
7
and
8
8
8
\newline
(C)
9
9
9
and
10
10
10
\newline
(D)
6
6
6
and
7
7
7
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Which number is closest to
48
\sqrt{48}
48
?
\newline
Choices:
\newline
(A)
6.9
6.9
6.9
\newline
(B)
7.1
7.1
7.1
\newline
(C)
5.6
5.6
5.6
\newline
(D)
6.2
6.2
6.2
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Which two integers is
29
\sqrt{29}
29
between?
\newline
Choices:
\newline
(A)
4
4
4
and
5
5
5
\newline
(B)
6
6
6
and
7
7
7
\newline
(C)
7
7
7
and
8
8
8
\newline
(D)
5
5
5
and
6
6
6
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Which number is closest to
59
\sqrt{59}
59
?
\newline
Choices:
\newline
(A)
7.2
7.2
7.2
\newline
(B)
8.5
8.5
8.5
\newline
(C)
7.6
7.6
7.6
\newline
(D)
8.1
8.1
8.1
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Which number is closest to
67
\sqrt{67}
67
?
\newline
Choices:
\newline
(A)
8.1
8.1
8.1
\newline
(B)
8.8
8.8
8.8
\newline
(C)
9.1
9.1
9.1
\newline
(D)
8.7
8.7
8.7
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Complete the following statement. Use the integers that are closest to the number in the middle.
\newline
\newline
____
<
<
<
91
\sqrt{91}
91
<
<
<
____
Get tutor help
Complete the following statement. Use the integers that are closest to the number in the middle.
\newline
\newline
_____
<
<
<
65
\sqrt{65}
65
<
<
<
____
Get tutor help
1
1
1
. Use the
45
45
45
−
45
-45
−
45
−
90
-90
−
90
pattern to find both missing side lengths of each right triangle:
\newline
1
1
1
)
\newline
2
2
2
)
\newline
Choices
\newline
20
20
20
\newline
:
Get tutor help
Which two integers is
28
\sqrt{28}
28
between?
\newline
Choices:
\newline
(A)
3
3
3
and
4
4
4
\newline
(B)
7
7
7
and
8
8
8
\newline
(C)
8
8
8
and
9
9
9
\newline
(D)
5
5
5
and
6
6
6
Get tutor help
Which two integers is
60
\sqrt{60}
60
between?
\newline
Choices:
\newline
(A)
8
8
8
and
9
9
9
\newline
(B)
4
4
4
and
5
5
5
\newline
(C)
7
7
7
and
8
8
8
\newline
(D)
5
5
5
and
6
6
6
Get tutor help
Which two integers is
56
\sqrt{56}
56
between?
\newline
Choices:
\newline
(A)
5
5
5
and
6
6
6
\newline
(B)
6
6
6
and
7
7
7
\newline
(C)
7
7
7
and
8
8
8
\newline
(D)
8
8
8
and
9
9
9
Get tutor help
Which two integers is
33
\sqrt{33}
33
between?
\newline
Choices:
\newline
(A)
3
3
3
and
4
4
4
\newline
(B)
2
2
2
and
3
3
3
\newline
(C)
6
6
6
and
7
7
7
\newline
(D)
5
5
5
and
6
6
6
Get tutor help
Which number is closest to
72
\sqrt{72}
72
?
\newline
Choices:
\newline
(A)
9.1
9.1
9.1
\newline
(B)
7.8
7.8
7.8
\newline
(C)
8.4
8.4
8.4
\newline
(D)
8.8
8.8
8.8
Get tutor help
Which number is closest to
44
\sqrt{44}
44
?
\newline
Choices:
\newline
(A)
6.6
6.6
6.6
\newline
(B)
6.2
6.2
6.2
\newline
(C)
7.1
7.1
7.1
\newline
(D)
7.3
7.3
7.3
Get tutor help
Which number is closest to
47
\sqrt{47}
47
?
\newline
Choices:
\newline
(A)
7.2
7.2
7.2
\newline
(B)
6.1
6.1
6.1
\newline
(C)
6.8
6.8
6.8
\newline
(D)
6.4
6.4
6.4
Get tutor help
Which two integers is
28
\sqrt{28}
28
between?
\newline
Choices:
\newline
(A)
5
5
5
and
6
6
6
\newline
(B)
3
3
3
and
4
4
4
\newline
(C)
7
7
7
and
8
8
8
\newline
(D)
4
4
4
and
5
5
5
Get tutor help
Which number is closest to
56
\sqrt{56}
56
?
\newline
Choices:
\newline
(A)
6.6
6.6
6.6
\newline
(B)
7.4
7.4
7.4
\newline
(C)
6.9
6.9
6.9
\newline
(D)
8.4
8.4
8.4
Get tutor help
Which two integers is
46
\sqrt{46}
46
between?
\newline
Choices:
\newline
(A)
4
4
4
and
5
5
5
\newline
(B)
7
7
7
and
8
8
8
\newline
(C)
3
3
3
and
4
4
4
\newline
(D)
6
6
6
and
7
7
7
Get tutor help
Which two integers is
23
\sqrt{23}
23
between?
\newline
Choices:
\newline
(A)
6
6
6
and
7
7
7
\newline
(B)
2
2
2
and
3
3
3
\newline
(C)
4
4
4
and
5
5
5
\newline
(D)
1
1
1
and
2
2
2
Get tutor help
Which number is closest to
67
\sqrt{67}
67
?
\newline
Choices:
\newline
(A)
9.4
9.4
9.4
\newline
(B)
9.1
9.1
9.1
\newline
(C)
8.1
8.1
8.1
\newline
(D)
8.9
8.9
8.9
Get tutor help
Which two integers is
20
\sqrt{20}
20
between?
\newline
Choices:
\newline
(A)
3
3
3
and
4
4
4
\newline
(B)
2
2
2
and
3
3
3
\newline
(C)
4
4
4
and
5
5
5
\newline
(D)
5
5
5
and
6
6
6
Get tutor help
Which two integers is
94
\sqrt{94}
94
between?
\newline
Choices:
\newline
(A)
11
11
11
and
12
12
12
\newline
(B)
9
9
9
and
10
10
10
\newline
(C)
7
7
7
and
8
8
8
\newline
(D)
6
6
6
and
7
7
7
Get tutor help
Which two integers is
37
\sqrt{37}
37
between?
\newline
Choices:
\newline
(A)
6
6
6
and
7
7
7
\newline
(B)
4
4
4
and
5
5
5
\newline
(C)
3
3
3
and
4
4
4
\newline
(D)
8
8
8
and
9
9
9
Get tutor help
Which two integers is
47
\sqrt{47}
47
between?
\newline
Choices:
\newline
(A)
3
3
3
and
4
4
4
\newline
(B)
6
6
6
and
7
7
7
\newline
(C)
4
4
4
and
5
5
5
\newline
(D)
7
7
7
and
8
8
8
Get tutor help
Which two integers is
90
\sqrt{90}
90
between?
\newline
Choices:
\newline
(A)
10
10
10
and
11
11
11
\newline
(B)
7
7
7
and
8
8
8
\newline
(C)
9
9
9
and
10
10
10
\newline
(D)
6
6
6
and
7
7
7
Get tutor help
Which two integers is
17
\sqrt{17}
17
between?
\newline
Choices:
\newline
(A)
1
1
1
and
2
2
2
\newline
(B)
6
6
6
and
7
7
7
\newline
(C)
4
4
4
and
5
5
5
\newline
(D)
2
2
2
and
3
3
3
Get tutor help
Which number is closest to
61
\sqrt{61}
61
?
\newline
Choices:
\newline
(A)
7.8
7.8
7.8
\newline
(B)
6.8
6.8
6.8
\newline
(C)
8.1
8.1
8.1
\newline
(D)
6.6
6.6
6.6
Get tutor help
Which number is closest to
6
\sqrt{6}
6
?
\newline
Choices:
\newline
(A)
1.9
1.9
1.9
\newline
(B)
2.8
2.8
2.8
\newline
(C)
1.7
1.7
1.7
\newline
(D)
2.4
2.4
2.4
Get tutor help
Which two integers is
62
\sqrt{62}
62
between?
\newline
Choices:
\newline
(A)
7
7
7
and
8
8
8
\newline
(B)
9
9
9
and
10
10
10
\newline
(C)
5
5
5
and
6
6
6
\newline
(D)
6
6
6
and
7
7
7
Get tutor help
Which two integers is
28
\sqrt{28}
28
between?
\newline
Choices:
\newline
(A)
5
5
5
and
6
6
6
\newline
(B)
6
6
6
and
7
7
7
\newline
(C)
7
7
7
and
8
8
8
\newline
(D)
3
3
3
and
4
4
4
Get tutor help
The graphs of functions
f
f
f
and
g
g
g
are shown. What is the value of
f
(
g
(
0
)
)
f(g(0))
f
(
g
(
0
))
, rounded to the nearest whole number?
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Factor
64
+
125
a
3
64+125 a^{3}
64
+
125
a
3
completely.
\newline
Answer:
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Factor completely:
\newline
25
x
2
(
x
−
5
)
−
(
x
−
5
)
25 x^{2}(x-5)-(x-5)
25
x
2
(
x
−
5
)
−
(
x
−
5
)
\newline
Answer:
Get tutor help
Complete the following statement. Use the integers that are closest to the number in the middle.
\newline
____
<
<
<
40
\sqrt{40}
40
<
<
<
___
Get tutor help
