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Math Problems
Grade 6
Identify independent and dependent variables: word problems
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Solving a right triangle
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Solve the right triangle.
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Round your answers to the nearest tenth.
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A
=
□
b
=
□
c
=
□
\begin{array}{l} A=\square \\ b=\square \\ c=\square \end{array}
A
=
□
b
=
□
c
=
□
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14
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AM
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DO MATH HW BEFORE TODAY ENDS
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Adele runs the Boone Farm, which produces many different crops, including wheat. The number of bushels of wheat produced by the farm each year depends on the number of plots of land that are devoted to growing wheat.
\newline
w
=
w =
w
=
the number of bushels of wheat produced each year
\newline
p
=
p =
p
=
the number of plots of land devoted to growing wheat
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
w
w
w
is the independent variable and
p
p
p
is the dependent variable
\newline
(B)
p
p
p
is the independent variable and
w
w
w
is the dependent variable
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The organizers of a large rock concert must follow fire safety regulations regarding the capacity of the arena. The capacity determines the maximum number of tickets sold.
\newline
c
c
c
= the capacity of the arena
\newline
t
t
t
= the maximum number of tickets sold
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
t
t
t
is the independent variable and
c
c
c
is the dependent variable
\newline
(B)
c
c
c
is the independent variable and
t
t
t
is the dependent variable
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The manager of a restaurant decides how many servers to schedule for a particular night based upon how many reservations were made for that night.
\newline
s
=
s =
s
=
the number of servers scheduled to work
\newline
r
=
r =
r
=
the number of reservations
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
r
r
r
is the independent variable and
s
s
s
is the dependent variable
\newline
(B)
s
s
s
is the independent variable and
r
r
r
is the dependent variable
Get tutor help
Students at the Seaside High School homecoming dance always get their pictures taken. The number of pictures the photographer will take is determined by how many students are attending the dance.
\newline
p
=
p =
p
=
the number of pictures the photographer will take
\newline
s
=
s =
s
=
the number of students attending the dance
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
p
p
p
is the independent variable and
s
s
s
is the dependent variable
\newline
(B)
s
s
s
is the independent variable and
p
p
p
is the dependent variable
Get tutor help
A committee is organizing a music festival in Cass County. The number of bands that will be able to play at the festival is determined by the amount of time that the venue has been reserved for.
\newline
b
=
b =
b
=
the number of bands that will be able to play
\newline
t
=
t =
t
=
the amount of time that the venue has been reserved for
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
b
b
b
is the independent variable and
t
t
t
is the dependent variable
\newline
(B)
t
t
t
is the independent variable and
b
b
b
is the dependent variable
Get tutor help
Sofia and Justine are preparing meals to serve at a local homeless shelter. The more meals they prepare, the more people they will be able serve.
\newline
m
m
m
= the number of meals Sofia and Justine prepare
\newline
p
p
p
= the number of people Sofia and Justine will be able to serve
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
p
p
p
is the independent variable and
m
m
m
is the dependent variable
\newline
(B)
m
m
m
is the independent variable and
p
p
p
is the dependent variable
Get tutor help
Solve the system by substitution.
\newline
2
x
+
7
y
=
48
x
=
6
y
+
5
\begin{aligned} 2 x+7 y & =48 \\ x & =6 y+5 \end{aligned}
2
x
+
7
y
x
=
48
=
6
y
+
5
\newline
(
□
,
□
)
(\square, \square)
(
□
,
□
)
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Solve the system by substitution.
\newline
y
=
−
5
x
y
=
−
x
+
4
\begin{array}{l} y=-5 x \\ y=-x+4 \end{array}
y
=
−
5
x
y
=
−
x
+
4
\newline
(
□
,
□
)
(\square, \square)
(
□
,
□
)
Get tutor help
Solve the system by substitution.
\newline
−
6
x
−
5
y
=
−
8
y
=
−
2
x
\begin{aligned} -6 x-5 y & =-8 \\ y & =-2 x \end{aligned}
−
6
x
−
5
y
y
=
−
8
=
−
2
x
\newline
(
□
,
□
)
(\square, \square)
(
□
,
□
)
Get tutor help
Solve the system by substitution.
\newline
y
=
−
2
x
y
=
5
x
+
7
\begin{array}{l} y=-2 x \\ y=5 x+7 \end{array}
y
=
−
2
x
y
=
5
x
+
7
\newline
(
□
,
□
)
(\square, \square)
(
□
,
□
)
Get tutor help
