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Math Problems
Algebra 1
Write and solve inverse variation equations
If
y
y
y
varies inversely as
x
x
x
, and
y
=
10
y=10
y
=
10
when
x
=
4
x=4
x
=
4
, what is the value of
y
y
y
when
x
=
8
x=8
x
=
8
?
\newline
A)
y
=
2.5
y=2.5
y
=
2.5
\newline
B)
y
=
5
y=5
y
=
5
\newline
C)
y
=
40
y=40
y
=
40
\newline
D)
y
=
1
5
y=\frac{1}{5}
y
=
5
1
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Pick the story that can be modeled by the equation
8
x
=
24
8x = 24
8
x
=
24
.
\newline
Choices:
\newline
(A)At a Memorial Day barbecue, Jared cooked
x
x
x
hotdogs and
8
8
8
times as many hamburgers. He cooked
24
24
24
hamburgers.
\newline
(B)At a Memorial Day barbecue, Jared opened a package of
24
24
24
hotdogs and cooked
x
x
x
of them. He wrapped up the remaining
8
8
8
hotdogs and put them back in the cooler.
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−
9
0
°
-90^°
−
9
0
°
≤
≤
≤
θ
\theta
θ
≤
≤
≤
−
9
0
°
-90^°
−
9
0
°
. Find the value of
θ
\theta
θ
in degrees.
\newline
\begin{align*} \sin(\theta)&=\frac{\sqrt{2}}{2},\ \theta& = \square \end{align*}
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If
y
y
y
varies inversely with
x
x
x
and
y
=
−
5
y = -5
y
=
−
5
when
x
=
15
x = 15
x
=
15
, find
y
y
y
when
x
=
−
3
x = -3
x
=
−
3
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
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An inverse variation includes the points
(
3
,
5
)
(3,\,5)
(
3
,
5
)
and
(
1
,
n
)
(1,\,n)
(
1
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
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An inverse variation includes the points
(
25
,
2
)
(25,\,2)
(
25
,
2
)
and
(
5
,
n
)
(5,\,n)
(
5
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
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Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
2
y = 2
y
=
2
when
x
=
20
x = 20
x
=
20
, find
y
y
y
when
x
=
5
x = 5
x
=
5
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
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If
y
y
y
varies inversely with
x
x
x
and
y
=
2
y = 2
y
=
2
when
x
=
4
x = 4
x
=
4
, find
y
y
y
when
x
=
1
x = 1
x
=
1
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
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Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
5
y = 5
y
=
5
when
x
=
20
x = 20
x
=
20
, find
y
y
y
when
x
=
4
x = 4
x
=
4
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
2
y = 2
y
=
2
when
x
=
8
x = 8
x
=
8
, find
y
y
y
when
x
=
4
x = 4
x
=
4
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
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An inverse variation includes the points
(
25
,
3
)
(25,\,3)
(
25
,
3
)
and
(
5
,
n
)
(5,\,n)
(
5
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
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An inverse variation includes the points
(
−
12
,
4
)
(-12,\,4)
(
−
12
,
4
)
and
(
−
3
,
n
)
(-3,\,n)
(
−
3
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
_
n =\,\_\_\_\_\_
n
=
_____
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Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
1
y = 1
y
=
1
when
x
=
−
9
x = -9
x
=
−
9
, find
y
y
y
when
x
=
−
3
x = -3
x
=
−
3
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
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Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
−
4
y = -4
y
=
−
4
when
x
=
8
x = 8
x
=
8
, find
y
y
y
when
x
=
2
x = 2
x
=
2
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
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If
y
y
y
varies inversely with
x
x
x
and
y
=
5
y = 5
y
=
5
when
x
=
8
x = 8
x
=
8
, find
y
y
y
when
x
=
2
x = 2
x
=
2
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
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In an inverse variation,
x
=
2
x=2
x
=
2
when
y
=
−
4
y=-4
y
=
−
4
.
\newline
What is the value of
y
y
y
when
x
=
16
x=16
x
=
16
?
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An inverse variation includes the points
(
8
,
1
)
(8,\,1)
(
8
,
1
)
and
(
2
,
n
)
(2,\,n)
(
2
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
If
y
y
y
varies inversely with
x
x
x
and
y
=
3
y = 3
y
=
3
when
x
=
2
x = 2
x
=
2
, find
y
y
y
when
x
=
1
x = 1
x
=
1
. Write and solve an inverse variation equation to find the answer.
y
=
y =
y
=
_____
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An inverse variation includes the points
(
8
,
2
)
(8,\,2)
(
8
,
2
)
and
(
4
,
n
)
(4,\,n)
(
4
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
An inverse variation includes the points
(
8
,
3
)
(8,\,3)
(
8
,
3
)
and
(
4
,
n
)
(4,\,n)
(
4
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
If
y
y
y
varies inversely with
x
x
x
and
y
=
4
y = 4
y
=
4
when
x
=
4
x = 4
x
=
4
, find
y
y
y
when
x
=
1
x = 1
x
=
1
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
An inverse variation includes the points
(
8
,
1
)
(8,\,1)
(
8
,
1
)
and
(
4
,
n
)
(4,\,n)
(
4
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
4
y = 4
y
=
4
when
x
=
8
x = 8
x
=
8
, find
y
y
y
when
x
=
2
x = 2
x
=
2
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
An inverse variation includes the points
(
3
,
3
)
(3,\,3)
(
3
,
3
)
and
(
1
,
n
)
(1,\,n)
(
1
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
_
n = \,\_\_\_\_\_
n
=
_____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
2
y = 2
y
=
2
when
x
=
6
x = 6
x
=
6
, find
y
y
y
when
x
=
3
x = 3
x
=
3
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
An inverse variation includes the points
(
3
,
2
)
(3,\,2)
(
3
,
2
)
and
(
1
,
n
)
(1,\,n)
(
1
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
An inverse variation includes the points
(
12
,
4
)
(12,\,4)
(
12
,
4
)
and
(
3
,
n
)
(3,\,n)
(
3
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
_
n = \,\_\_\_\_\_
n
=
_____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
4
y = 4
y
=
4
when
x
=
3
x = 3
x
=
3
, find
y
y
y
when
x
=
1
x = 1
x
=
1
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
An inverse variation includes the points
(
2
,
3
)
(2,\,3)
(
2
,
3
)
and
(
1
,
n
)
(1,\,n)
(
1
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
2
y = 2
y
=
2
when
x
=
9
x = 9
x
=
9
, find
y
y
y
when
x
=
3
x = 3
x
=
3
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
2
y = 2
y
=
2
when
x
=
12
x = 12
x
=
12
, find
y
y
y
when
x
=
3
x = 3
x
=
3
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
If
y
y
y
varies inversely with
x
x
x
and
y
=
2
y = 2
y
=
2
when
x
=
12
x = 12
x
=
12
, find
y
y
y
when
x
=
4
x = 4
x
=
4
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
If
y
y
y
varies inversely with
x
x
x
and
y
=
3
y = 3
y
=
3
when
x
=
6
x = 6
x
=
6
, find
y
y
y
when
x
=
2
x = 2
x
=
2
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
1
y = 1
y
=
1
when
x
=
8
x = 8
x
=
8
, find
y
y
y
when
x
=
4
x = 4
x
=
4
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
y
=
y =
y
=
_____
Get tutor help
An inverse variation includes the points
(
8
,
3
)
(8, 3)
(
8
,
3
)
and
(
2
,
n
)
(2, n)
(
2
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \_\_\_\_
n
=
____
Get tutor help
An inverse variation includes the points
(
16
,
3
)
(16,\,3)
(
16
,
3
)
and
(
4
,
n
)
(4,\,n)
(
4
,
n
)
. Find
n
n
n
.
\newline
Write and solve an inverse variation equation to find the answer.
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
Point
N
\mathrm{N}
N
is located at
−
9
-9
−
9
. Points
O
\mathrm{O}
O
and
P
\mathrm{P}
P
are each
7
7
7
units away from Point
N
\mathrm{N}
N
. Where are
O
\mathrm{O}
O
and
P
\mathrm{P}
P
located?
\newline
O
=
□
P
=
□
\mathrm{O}=\square \quad \mathrm{P}= \square
O
=
□
P
=
□
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Decide whether the given number is a solution. Is
−
9
-9
−
9
a solution of
−
9
f
=
90
−
f
-9 f=90-f
−
9
f
=
90
−
f
?
Get tutor help
Solve the system of equations.
\newline
−
2
x
+
9
y
=
11
−
5
x
+
2
y
=
−
34
\begin{array}{l}-2 x+9 y=11 \\ -5 x+2 y=-34\end{array}
−
2
x
+
9
y
=
11
−
5
x
+
2
y
=
−
34
\newline
x
=
□
x = \square
x
=
□
\newline
y
=
□
y = \square
y
=
□
Get tutor help
If
y
y
y
varies inversely as the
4
4
4
th power of
x
x
x
and
y
=
2
y=2
y
=
2
when
x
=
−
1
x=-1
x
=
−
1
, what is
y
y
y
when
x
=
0.5
x=0.5
x
=
0.5
?
Get tutor help
If
p
p
p
is inversely proportional to the square of
q
q
q
, and
p
p
p
is
3
3
3
when
q
q
q
is
9
9
9
, determine
p
p
p
when
q
q
q
is equal to
3
3
3
.
\newline
Answer:
Get tutor help
If
p
p
p
and
q
q
q
vary inversely and
p
p
p
is
10
10
10
when
q
q
q
is
4
4
4
, determine
q
q
q
when
p
p
p
is equal to
20
20
20
.
\newline
Answer:
Get tutor help
If
p
p
p
and
q
q
q
vary inversely and
p
p
p
is
8
8
8
when
q
q
q
is
22
22
22
, determine
q
q
q
when
p
p
p
is equal to
4
4
4
.
\newline
Answer:
Get tutor help
If
p
p
p
and
q
q
q
vary inversely and
p
p
p
is
8
8
8
when
q
q
q
is
21
21
21
, determine
q
q
q
when
p
p
p
is equal to
84
84
84
.
\newline
Answer:
Get tutor help
If
p
p
p
is inversely proportional to the square of
q
q
q
, and
p
p
p
is
16
16
16
when
q
q
q
is
10
10
10
, determine
p
p
p
when
q
q
q
is equal to
2
2
2
.
\newline
Answer:
Get tutor help
If
p
p
p
is inversely proportional to the square of
q
q
q
, and
p
p
p
is
14
14
14
when
q
q
q
is
8
8
8
, determine
p
p
p
when
q
q
q
is equal to
4
4
4
.
\newline
Answer:
Get tutor help
If
p
p
p
is inversely proportional to the square of
q
q
q
, and
p
p
p
is
27
27
27
when
q
q
q
is
5
5
5
, determine
p
p
p
when
q
q
q
is equal to
3
3
3
.
\newline
Answer:
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If
p
p
p
and
q
q
q
vary inversely and
p
p
p
is
30
30
30
when
q
q
q
is
11
11
11
, determine
q
q
q
when
p
p
p
is equal to
33
33
33
.
\newline
Answer:
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If
p
p
p
and
q
q
q
vary inversely and
p
p
p
is
25
25
25
when
q
q
q
is
28
28
28
, determine
q
q
q
when
p
p
p
is equal to
70
70
70
.
\newline
Answer:
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If
p
p
p
and
q
q
q
vary inversely and
p
p
p
is
9
9
9
when
q
q
q
is
13
13
13
, determine
q
q
q
when
p
p
p
is equal to
39
39
39
.
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Answer:
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