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USA - Middle School Tournaments
Math Invitational for Girls
2023 MIG
6
6
Part of
2023 MIG
Problems
(1)
2023 Individual #6
Source:
4/26/2023
If
a
+
3
b
=
9
a+3b = 9
a
+
3
b
=
9
and
a
+
11
b
=
21
a+11b =21
a
+
11
b
=
21
, what is the missing coefficient in the expression
2
a
+
?
‾
b
=
27
2a+\underline{?}b = 27
2
a
+
?
b
=
27
?
<
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c
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a
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a
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b
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>
(
A
)
<
/
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a
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5
<
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(
B
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6
<
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c
l
a
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=
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a
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x
−
b
o
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>
(
C
)
<
/
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p
a
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>
9
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
a
n
>
12
<
s
p
a
n
c
l
a
s
s
=
′
l
a
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e
x
−
b
o
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′
>
(
E
)
<
/
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a
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>
14
<span class='latex-bold'>(A) </span> 5\qquad<span class='latex-bold'>(B) </span> 6\qquad<span class='latex-bold'>(C) </span> 9\qquad<span class='latex-bold'>(D) </span> 12\qquad<span class='latex-bold'>(E) </span> 14
<
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c
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(
A
)
<
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>
5
<
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p
an
c
l
a
ss
=
′
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a
t
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x
−
b
o
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′
>
(
B
)
<
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p
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>
6
<
s
p
an
c
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a
ss
=
′
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a
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x
−
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′
>
(
C
)
<
/
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p
an
>
9
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
12
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
14
2023 Individual