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Math Problems
Algebra 1
Write linear equations in standard form
Rewrite the following equation in standard form.
\newline
y
=
6
x
+
2
y = 6x + 2
y
=
6
x
+
2
\newline
Hint: The standard form of a linear equation is
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
where
A
A
A
and
B
B
B
are not both zero, and
A
A
A
,
B
B
B
, and
C
C
C
are integers whose GCF is
1
1
1
.
Get tutor help
Rewrite the following equation in standard form.
\newline
y
=
7
x
+
6
y = 7x + 6
y
=
7
x
+
6
\newline
Hint: The standard form of a linear equation is
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
where
A
A
A
and
B
B
B
are not both zero, and
A
A
A
,
B
B
B
, and
C
C
C
are integers whose GCF is
1
1
1
.
Get tutor help
Determine the standard form of the following equation:
\newline
y
=
7
x
+
4
y = 7x + 4
y
=
7
x
+
4
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Rewrite the following equation in standard form.
\newline
y
=
8
x
−
10
y = 8x - 10
y
=
8
x
−
10
\newline
Hint: The standard form of a linear equation is
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
where
A
A
A
and
B
B
B
are not both zero, and
A
A
A
,
B
B
B
, and
C
C
C
are integers whose GCF is
1
1
1
.
Get tutor help
Rewrite the following equation in standard form.
\newline
y
=
5
x
+
2
y = 5x + 2
y
=
5
x
+
2
\newline
Hint: The standard form of a linear equation is
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
where
A
A
A
and
B
B
B
are not both zero, and
A
A
A
,
B
B
B
, and
C
C
C
are integers whose GCF is
1
1
1
.
Get tutor help
Rewrite the following equation in standard form.
\newline
y
=
4
x
+
9
y = 4x + 9
y
=
4
x
+
9
\newline
Hint: The standard form of a linear equation is
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
where
A
A
A
and
B
B
B
are not both zero, and
A
A
A
,
B
B
B
, and
C
C
C
are integers whose GCF is
1
1
1
.
Get tutor help
Rewrite the following equation in standard form.
\newline
y
=
2
x
+
9
y = 2x + 9
y
=
2
x
+
9
\newline
Hint: The standard form of a linear equation is
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
where
A
A
A
and
B
B
B
are not both zero, and
A
A
A
,
B
B
B
, and
C
C
C
are integers whose GCF is
1
1
1
.
Get tutor help
Rewrite the following equation in standard form.
\newline
y
=
8
x
+
10
y = 8x + 10
y
=
8
x
+
10
\newline
Hint: The standard form of a linear equation is
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
where
A
A
A
and
B
B
B
are not both zero, and
A
A
A
,
B
B
B
, and
C
C
C
are integers whose GCF is
1
1
1
.
Get tutor help
Determine the standard form of the following equation:
\newline
y
=
8
x
−
7
y = 8x - 7
y
=
8
x
−
7
Get tutor help
Rewrite the following equation in standard form.
\newline
y
=
x
+
10
y = x + 10
y
=
x
+
10
\newline
Hint: The standard form of a linear equation is
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
where
A
A
A
and
B
B
B
are not both zero, and
A
A
A
,
B
B
B
, and
C
C
C
are integers whose GCF is
1
1
1
.
Get tutor help
Rewrite the following equation in standard form.
\newline
y
=
9
x
+
3
y = 9x + 3
y
=
9
x
+
3
\newline
Hint: The standard form of a linear equation is
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
where
A
A
A
and
B
B
B
are not both zero, and
A
A
A
,
B
B
B
, and
C
C
C
are integers whose GCF is
1
1
1
.
Get tutor help
Rewrite the following equation in standard form.
\newline
y
=
6
x
+
5
y = 6x + 5
y
=
6
x
+
5
\newline
Hint: The standard form of a linear equation is
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
where
A
A
A
and
B
B
B
are not both zero, and
A
A
A
,
B
B
B
, and
C
C
C
are integers whose GCF is
1
1
1
.
Get tutor help
Rewrite the following equation in standard form.
\newline
y
=
3
x
+
5
y = 3x + 5
y
=
3
x
+
5
\newline
Hint: The standard form of a linear equation is
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
where
A
A
A
and
B
B
B
are not both zero, and
A
A
A
,
B
B
B
, and
C
C
C
are integers whose GCF is
1
1
1
.
Get tutor help
Rewrite the following equation in standard form.
\newline
y
=
7
x
+
7
y = 7x + 7
y
=
7
x
+
7
\newline
Hint: The standard form of a linear equation is
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
where
A
A
A
and
B
B
B
are not both zero, and
A
A
A
,
B
B
B
, and
C
C
C
are integers whose GCF is
1
1
1
.
Get tutor help
Rewrite the following equation in standard form.
\newline
y
=
9
x
+
4
y = 9x + 4
y
=
9
x
+
4
\newline
Hint: The standard form of a linear equation is
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
where
A
A
A
and
B
B
B
are not both zero, and
A
A
A
,
B
B
B
, and
C
C
C
are integers whose GCF is
1
1
1
.
Get tutor help
Rewrite the following equation in standard form.
\newline
y
=
2
x
+
10
y = 2x + 10
y
=
2
x
+
10
\newline
Hint: The standard form of a linear equation is
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
where
A
A
A
and
B
B
B
are not both zero, and
A
A
A
,
B
B
B
, and
C
C
C
are integers whose GCF is
1
1
1
.
Get tutor help
Rewrite the following equation in standard form.
\newline
y
=
2
x
+
3
y = 2x + 3
y
=
2
x
+
3
\newline
Hint: The standard form of a linear equation is
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
where
A
A
A
and
B
B
B
are not both zero, and
A
A
A
,
B
B
B
, and
C
C
C
are integers whose GCF is
1
1
1
.
Get tutor help
Rewrite the following equation in standard form.
\newline
y
=
3
x
+
2
y = 3x + 2
y
=
3
x
+
2
\newline
Hint: The standard form of a linear equation is
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
where
A
A
A
and
B
B
B
are not both zero, and
A
A
A
,
B
B
B
, and
C
C
C
are integers whose GCF is
1
1
1
.
Get tutor help
x
(
x
−
a
)
−
b
(
a
+
b
)
=
0
x(x-a)-b(a+b)=0
x
(
x
−
a
)
−
b
(
a
+
b
)
=
0
\newline
In the given equation,
a
a
a
and
b
b
b
are constants. What are the solutions to the equation?
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
−
b
x=-b
x
=
−
b
and
x
=
(
a
−
b
)
x=(a-b)
x
=
(
a
−
b
)
\newline
(B)
x
=
−
b
x=-b
x
=
−
b
and
x
=
(
a
+
b
)
x=(a+b)
x
=
(
a
+
b
)
\newline
(C)
x
=
a
x=a
x
=
a
and
x
=
(
a
−
b
)
x=(a-b)
x
=
(
a
−
b
)
\newline
(D)
x
=
a
x=a
x
=
a
and
x
=
(
a
+
b
)
x=(a+b)
x
=
(
a
+
b
)
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(
3
x
2
−
7
x
)
+
(
5
x
2
+
13
)
(3x^2-7x)+(5x^2+13)
(
3
x
2
−
7
x
)
+
(
5
x
2
+
13
)
The given expression can be written as
a
x
2
+
b
x
+
c
ax^2+bx+c
a
x
2
+
b
x
+
c
, where
a
a
a
,
b
b
b
, and
c
c
c
, are constants. What is the value of
a
a
a
?
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16
x
2
−
8
x
−
3
=
0
16x^2-8x-3=0
16
x
2
−
8
x
−
3
=
0
Let
x
=
q
x=q
x
=
q
and
x
=
r
x=r
x
=
r
be solutions to the equation shown, with
q
>
r
q>r
q
>
r
. What is the value of
q
−
r
q-r
q
−
r
?
Get tutor help
Determine the standard form of the following equation:
\newline
y
=
−
10
x
+
7
y = -10x + 7
y
=
−
10
x
+
7
Get tutor help
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