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Math Problems
Algebra 2
Solve rational equations
Last week, Chichi spent
6
6
6
more hours practicing guitar than Will did. If Chichi practiced for
14
14
14
hours last week, which of the following can be used to calculate
x
x
x
, the number of hours Will practiced guitar last week?
\newline
Choose
1
1
1
answer:
\newline
(A)
x
−
6
=
14
x-6=14
x
−
6
=
14
\newline
(B)
x
+
6
=
14
x+6=14
x
+
6
=
14
\newline
(C)
6
x
=
14
6 x=14
6
x
=
14
\newline
(D)
14
x
=
6
14 x=6
14
x
=
6
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Mikayla is a waitress who makes a guaranteed
$
50
\$ 50
$50
per day in addition to tips of
20
%
20 \%
20%
of all her weekly customer receipts,
t
t
t
. She works
6
6
6
days per week. Which of the following functions best represents the amount of money that Mikayla makes in one week?
\newline
Choose
1
1
1
answer:
\newline
(A)
f
(
t
)
=
50
+
20
t
f(t)=50+20 t
f
(
t
)
=
50
+
20
t
\newline
(B)
f
(
t
)
=
300
+
20
t
f(t)=300+20 t
f
(
t
)
=
300
+
20
t
\newline
(C)
f
(
t
)
=
50
+
0.2
t
f(t)=50+0.2 t
f
(
t
)
=
50
+
0.2
t
\newline
(D)
f
(
t
)
=
300
+
0.2
t
f(t)=300+0.2 t
f
(
t
)
=
300
+
0.2
t
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x
=
−
(
3
−
c
y
)
+
6
−
7
x
x=-(3-c y)+6-7 x
x
=
−
(
3
−
cy
)
+
6
−
7
x
\newline
3
x
−
y
=
3
2
−
x
3 x-y=\frac{3}{2}-x
3
x
−
y
=
2
3
−
x
\newline
In the system of equations,
c
c
c
is a constant. For what value of
c
c
c
does the system of linear equations have infinitely many solutions?
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Solve for
t
t
t
.
\newline
t
+
2
3
=
t
+
7
6
\frac{t + 2}{3} = \frac{t + 7}{6}
3
t
+
2
=
6
t
+
7
\newline
There may be
1
1
1
or
2
2
2
solutions.
\newline
t
=
t =
t
=
_____ or
t
=
t =
t
=
_____
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