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Math Problems
Algebra 2
Complementary angle identities
Ann increased the quantities of all the ingredients in a recipe by
x
x
x
. She used
y
y
y
grams of cheese. How much cheese did the recipe require?
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A number when divided by
500
500
500
gives a quotient of
420
420
420
. What is the quatient when the same number is divided by
2000
2000
2000
?
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Point
T
T
T
is located at
−
14
-14
−
14
. Point
U
U
U
is
6
6
6
less than Point
T
T
T
. Where is
U
U
U
located?
\newline
U
=
□
\mathrm{U}=\square
U
=
□
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Point
M
\mathrm{M}
M
is located at
−
4
-4
−
4
. Point
N
\mathrm{N}
N
is
10
10
10
less than Point
M
\mathrm{M}
M
. Where is
N
\mathrm{N}
N
located?
\newline
N
=
□
\mathrm{N}=\square
N
=
□
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the circle has center
O
O
O
, and the measure of angle
R
O
S
ROS
ROS
is
72
72
72
degrees. The length of minor
R
S
RS
RS
is what fraction of the circumference of the circle
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−
6.4
x
=
4
y
+
2.1
-6.4 x=4 y+2.1
−
6.4
x
=
4
y
+
2.1
\newline
k
y
+
3.2
x
=
5.8
k y+3.2 x=5.8
k
y
+
3.2
x
=
5.8
\newline
For what value of
k
k
k
does the system of linear equations in the variables
x
x
x
and
y
y
y
have no solutions?
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If
−
30
+
k
=
22
-30+k=22
−
30
+
k
=
22
, what is the value of
k
k
k
?
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If
−
26
+
z
=
15
-26+z=15
−
26
+
z
=
15
, what is the value of
z
z
z
?
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If
2
=
−
1
+
p
2=-1+p
2
=
−
1
+
p
, what is the value of
p
p
p
?
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If
10
=
8
x
10=8 x
10
=
8
x
, what is the value of
x
x
x
?
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If
−
25
+
k
=
21
-25+k=21
−
25
+
k
=
21
, what is the value of
k
k
k
?
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If
5
x
=
9
5 x=9
5
x
=
9
, what is the value of
x
x
x
?
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If
2
x
=
2
2 x=2
2
x
=
2
, what is the value of
x
x
x
?
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If
p
+
12
=
30
p+12=30
p
+
12
=
30
, what is the value of
p
p
p
?
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If
r
−
14
=
23
r-14=23
r
−
14
=
23
, what is the value of
r
r
r
?
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If
18
+
k
=
30
18+k=30
18
+
k
=
30
, what is the value of
k
k
k
?
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If
2
x
=
3
2 x=3
2
x
=
3
, what is the value of
x
x
x
?
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If
9
=
4
x
9=4 x
9
=
4
x
, what is the value of
x
x
x
?
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If
32
+
8
=
a
2
\sqrt{32}+\sqrt{8}=a \sqrt{2}
32
+
8
=
a
2
, then what is the value of
a
a
a
?
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43
=
8
c
−
5
43=8 c-5
43
=
8
c
−
5
\newline
What is the value of
c
c
c
in the equation shown?
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Solve for
h
h
h
.
\newline
h
2
+
24
h
=
0
h^2 + 24h = 0
h
2
+
24
h
=
0
\newline
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.
\newline
h
=
h =
h
=
_____
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Write the sentence as an equation.
\newline
45
45
45
is equal to the quotient of
z
z
z
and
5
5
5
\newline
Type a slash (
/
/
/
) if you want to use a division sign.
\newline
_____
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Write the sentence as an equation.
\newline
89
89
89
is equal to the quotient of
y
y
y
and
17
17
17
\newline
Type a slash (
/
/
/
) if you want to use a division sign.
\newline
_____
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cos
(
x
)
=
−
0.3
\cos(x) = -0.3
cos
(
x
)
=
−
0.3
. What is
sin
(
9
0
∘
−
x
)
\sin(90^\circ - x)
sin
(
9
0
∘
−
x
)
? ____
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