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Math Problems
Algebra 1
Write and solve inverse variation equations
Assume that
y
y
y
varies inversely with
x
x
x
. If
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
=
_____
Get tutor help
If
y
y
y
varies inversely with
x
x
x
and
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
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
If
y
y
y
varies inversely with
x
x
x
and
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
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
3
y = 3
y
=
3
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
(
4
,
1
)
(4,\,1)
(
4
,
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
An inverse variation includes the points
(
12
,
3
)
(12,\,3)
(
12
,
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
=
3
y = 3
y
=
3
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
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
1
y = 1
y
=
1
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
An inverse variation includes the points
(
2
,
4
)
(2,\ 4)
(
2
,
4
)
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
=
16
x = 16
x
=
16
, 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
(
4
,
3
)
(4,\,3)
(
4
,
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
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
1
y = 1
y
=
1
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
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
If
y
y
y
varies inversely with
x
x
x
and
y
=
4
y = 4
y
=
4
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
=
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
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
If
y
y
y
varies inversely with
x
x
x
and
y
=
1
y = 1
y
=
1
when
x
=
12
x = 12
x
=
12
, find
y
y
y
when
x
=
3
x = 3
x
=
3
. Write and solve an inverse variation equation to find the answer.
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
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
Assume that
y
y
y
varies inversely with
x
x
x
. If
y
=
3
y = 3
y
=
3
when
x
=
4
x = 4
x
=
4
, find
y
y
y
when
x
=
2
x = 2
x
=
2
. Write and solve an inverse variation equation to find the answer.
y
=
y =
y
=
_____
Get tutor help
If
y
y
y
varies inversely with
x
x
x
and
y
=
4
y = 4
y
=
4
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
If
y
y
y
varies inversely with
x
x
x
and
y
=
1
y = 1
y
=
1
when
x
=
4
x = 4
x
=
4
, 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
If
y
y
y
varies inversely with
x
x
x
and
y
=
1
y = 1
y
=
1
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
If
y
y
y
varies inversely with
x
x
x
and
y
=
2
y = 2
y
=
2
when
x
=
2
x = 2
x
=
2
, 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
(
6
,
4
)
(6,\,4)
(
6
,
4
)
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
(
12
,
1
)
(12,\,1)
(
12
,
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
If
y
y
y
varies inversely with
x
x
x
and
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
An inverse variation includes the points
(
9
,
1
)
(9,\,1)
(
9
,
1
)
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
An inverse variation includes the points
(
16
,
1
)
(16,\,1)
(
16
,
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
An inverse variation includes the points
(
6
,
3
)
(6,\,3)
(
6
,
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
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
=
2
x = 2
x
=
2
. Write and solve an inverse variation equation to find the answer.
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
Expressions Review
\newline
9
9
9
. Twelve is added to a number and then the sum is multiplied by
4
5
\frac{4}{5}
5
4
to give
23
23
23
.
6
6
6
. What is the number?
\newline
A.
14
14
14
.
5
5
5
\newline
B.
17
17
17
.
5
5
5
\newline
C.
41
41
41
.
5
5
5
\newline
D.
44
44
44
.
5
5
5
Get tutor help
9
P
9 P
9
P
is inversely proportional to
y
y
y
. When
P
=
15
P=15
P
=
15
,
y
=
0.2
y=0.2
y
=
0.2
. Find
P
P
P
when
y
=
1.5
y=1.5
y
=
1.5
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
=
□
Get tutor help
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
If
f
′
(
x
)
=
2
f
(
x
)
f^{\prime}(x)=2 f(x)
f
′
(
x
)
=
2
f
(
x
)
and
f
(
1
)
=
5
f(1)=5
f
(
1
)
=
5
, then
f
(
3
)
=
m
e
n
f(3)=m e^{n}
f
(
3
)
=
m
e
n
for some integers
m
m
m
and
n
n
n
.
\newline
What are
m
m
m
and
n
n
n
?
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
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 \equiv 0,5
x
≡
0
,
5
?
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
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
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:
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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
.
\newline
Answer:
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