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Math Problems
Algebra 1
Write inverse variation equations
Write an equation that describes the following relationship:
y
y
y
varies inversely as the fourth power of
x
x
x
and when
x
=
1
,
y
=
3
x=1, y=3
x
=
1
,
y
=
3
.
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In an inverse variation,
y
=
3
y = 3
y
=
3
when
x
=
12
x = 12
x
=
12
. Write an inverse variation equation that shows the relationship between
x
x
x
and
y
y
y
.
\newline
Write the equation using a decimal or an integer.
\newline
_
_
\_\_
__
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In an inverse variation,
y
=
1
y = 1
y
=
1
when
x
=
6
x = 6
x
=
6
. Write an inverse variation equation that shows the relationship between
x
x
x
and
y
y
y
.
\newline
Write the equation using a decimal or an integer.
\newline
_
_
\_\_
__
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In an inverse variation,
y
=
4
y = 4
y
=
4
when
x
=
8
x = 8
x
=
8
. Write an inverse variation equation that shows the relationship between
x
x
x
and
y
y
y
.
\newline
Write the equation using a decimal or an integer.
\newline
_
_
\_\_
__
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In an inverse variation,
y
=
3
y = 3
y
=
3
when
x
=
3
x = 3
x
=
3
. Write an inverse variation equation that shows the relationship between
x
x
x
and
y
y
y
.
\newline
Write the equation using a decimal or an integer.
\newline
_
_
\_\_
__
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In an inverse variation,
y
=
1
y = 1
y
=
1
when
x
=
9
x = 9
x
=
9
. Write an inverse variation equation that shows the relationship between
x
x
x
and
y
y
y
.
\newline
Write the equation using a decimal or an integer.
\newline
_
_
\_\_
__
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In an inverse variation,
y
=
3
y = 3
y
=
3
when
x
=
4
x = 4
x
=
4
. Write an inverse variation equation that shows the relationship between
x
x
x
and
y
y
y
.
\newline
Write the equation using a decimal or an integer.
\newline
_
_
\_\_
__
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In an inverse variation,
y
=
2
y = 2
y
=
2
when
x
=
8
x = 8
x
=
8
. Write an inverse variation equation that shows the relationship between
x
x
x
and
y
y
y
.
\newline
Write the equation using a decimal or an integer.
\newline
_
_
\_\_
__
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In an inverse variation,
y
=
1
y = 1
y
=
1
when
x
=
16
x = 16
x
=
16
. Write an inverse variation equation that shows the relationship between
x
x
x
and
y
y
y
.
\newline
Write the equation using a decimal or an integer.
\newline
_
_
\_\_
__
Get tutor help
In an inverse variation,
y
=
1
y = 1
y
=
1
when
x
=
8
x = 8
x
=
8
. Write an inverse variation equation that shows the relationship between
x
x
x
and
y
y
y
.
\newline
Write the equation using a decimal or an integer.
\newline
_
_
\_\_
__
Get tutor help
In an inverse variation,
y
=
4
y = 4
y
=
4
when
x
=
4
x = 4
x
=
4
. Write an inverse variation equation that shows the relationship between
x
x
x
and
y
y
y
.
\newline
Write the equation using a decimal or an integer.
\newline
_
_
\_\_
__
Get tutor help
In an inverse variation,
y
=
2
y = 2
y
=
2
when
x
=
9
x = 9
x
=
9
. Write an inverse variation equation that shows the relationship between
x
x
x
and
y
y
y
.
\newline
Write the equation using a decimal or an integer.
\newline
_
_
\_\_
__
Get tutor help
In an inverse variation,
y
=
2
y = 2
y
=
2
when
x
=
4
x = 4
x
=
4
. Write an inverse variation equation that shows the relationship between
x
x
x
and
y
y
y
.
\newline
Write the equation using a decimal or an integer.
\newline
_
_
\_\_
__
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Find the constant of proportionality
k
k
k
if
z
=
3600
z = 3600
z
=
3600
when
y
=
3
y = 3
y
=
3
and
x
=
5
x =5
x
=
5
.
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Write a slope-intercept equation for a line with the given characteristics.
\newline
m
=
−
8.5
m=-8.5
m
=
−
8.5
,
y
y
y
-intercept
(
0
,
4
5
)
(0,\frac{4}{5})
(
0
,
5
4
)
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Logarithmic and exponential inverses
\newline
Find the inverse of
\newline
f
(
x
)
=
b
x
f(x)=b^{x}
f
(
x
)
=
b
x
and then prove that they are inverses.
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Write an expression to represent:
4
4
4
less than the product of
1
1
1
and
x
x
x
.
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Write an expression to represent:
4
4
4
times the difference of
x
x
x
and
2
2
2
.
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Write an expression to represent:
10
10
10
minus the product of
4
4
4
and
x
x
x
.
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Write an expression to represent:
\newline
2
2
2
times the difference of
x
x
x
and
3
3
3
.
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Write an expression to represent:
4
4
4
less than the quotient of
x
x
x
and
5
5
5
.
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Write an expression to represent:
\newline
3
3
3
more than the product of
2
2
2
and
x
x
x
.
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Write an expression to represent:
\newline
6
6
6
more than the quotient of
4
4
4
and
x
x
x
.
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Write an expression to represent:
3
3
3
minus the quotient of
x
x
x
and
4
4
4
.
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Write an expression to represent:
\newline
1
1
1
less than the quotient of
4
4
4
and
x
x
x
.
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Write an expression to represent:
3
3
3
minus the product of
2
2
2
and
x
x
x
.
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