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Math Problems
Grade 6
Triangle inequality
Can the sides of a triangle have lengths
3
3
3
,
7
7
7
, and
10
10
10
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
2
2
2
,
9
9
9
, and
10
10
10
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
2
2
2
,
3
3
3
, and
5
5
5
?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Can the sides of a triangle have lengths
3
3
3
,
10
10
10
, and
10
10
10
?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Can the sides of a triangle have lengths
3
3
3
,
4
4
4
, and
7
7
7
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
1
1
1
,
5
5
5
, and
8
8
8
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
3
3
3
,
7
7
7
, and
8
8
8
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
4
4
4
,
6
6
6
, and
8
8
8
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
4
4
4
,
10
10
10
, and
10
10
10
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
1
1
1
,
2
2
2
, and
7
7
7
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
1
1
1
,
4
4
4
, and
4
4
4
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
2
2
2
,
8
8
8
, and
8
8
8
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
3
3
3
,
6
6
6
, and
8
8
8
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
2
2
2
,
8
8
8
, and
9
9
9
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
1
1
1
,
9
9
9
, and
10
10
10
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
1
1
1
,
1
1
1
, and
10
10
10
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
1
1
1
,
10
10
10
, and
10
10
10
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
2
2
2
,
7
7
7
, and
7
7
7
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
1
1
1
,
7
7
7
, and
8
8
8
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
5
5
5
,
5
5
5
, and
10
10
10
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
1
1
1
,
3
3
3
, and
7
7
7
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
4
4
4
,
8
8
8
, and
10
10
10
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
1
1
1
,
8
8
8
, and
10
10
10
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
5
5
5
,
8
8
8
, and
10
10
10
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
1
1
1
,
3
3
3
, and
3
3
3
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
1
1
1
,
3
3
3
, and
5
5
5
?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Can the sides of a triangle have lengths
3
3
3
,
6
6
6
, and
10
10
10
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
2
2
2
,
6
6
6
, and
7
7
7
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
1
1
1
,
1
1
1
, and
8
8
8
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
3
3
3
,
5
5
5
, and
7
7
7
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
2
2
2
,
2
2
2
, and
5
5
5
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
2
2
2
,
3
3
3
, and
9
9
9
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
3
3
3
,
7
7
7
, and
9
9
9
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
1
1
1
,
9
9
9
, and
9
9
9
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
2
2
2
,
4
4
4
, and
5
5
5
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
1
1
1
,
3
3
3
, and
9
9
9
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
1
1
1
,
1
1
1
, and
3
3
3
?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Can the sides of a triangle have lengths
3
3
3
,
6
6
6
, and
7
7
7
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Can the sides of a triangle have lengths
1
1
1
,
4
4
4
, and
5
5
5
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Let
P
=
{
3
,
5
,
7
,
9
,
11
}
P = \{3, 5, 7, 9, 11\}
P
=
{
3
,
5
,
7
,
9
,
11
}
and
Q
=
{
2
,
4
,
6
,
8
}
Q = \{2, 4, 6, 8\}
Q
=
{
2
,
4
,
6
,
8
}
. What is
P
∩
Q
P \cap Q
P
∩
Q
?
\newline
Choices:
\newline
(A)
{
2
,
3
,
4
,
6
,
7
,
8
,
9
,
11
}
\{2, 3, 4, 6, 7, 8, 9, 11\}
{
2
,
3
,
4
,
6
,
7
,
8
,
9
,
11
}
\newline
(B)
{
2
,
3
,
4
,
5
,
6
,
7
,
8
}
\{2, 3, 4, 5, 6, 7, 8\}
{
2
,
3
,
4
,
5
,
6
,
7
,
8
}
\newline
(C)
{
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
11
}
\{2, 3, 4, 5, 6, 7, 8, 9, 11\}
{
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
11
}
\newline
(D)
∅
\emptyset
∅
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What is the
y
y
y
-intercept of
y
=
5
y=5
y
=
5
?
\newline
Choose
1
1
1
answer:
\newline
(A)
(
0
,
0
)
(0,0)
(
0
,
0
)
\newline
(B)
(
5
,
0
)
(5,0)
(
5
,
0
)
\newline
(C)
(
5
,
5
)
(5,5)
(
5
,
5
)
\newline
(D)
(
0
,
5
)
(0,5)
(
0
,
5
)
Get tutor help
