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Math Problems
Algebra 1
Add and subtract polynomials
(m^
4
4
4
+
7
7
7
m^
2
2
2
-
8
8
8
) \div m
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\newline
−
5
-5
−
5
x - (
−
2
-2
−
2
x -
8
8
8
) = -x -
6
6
6
\newline
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a(
5
5
5
-x)=bx
−
8
-8
−
8
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Solve for
x
x
x
:
(
x
+
5
)
(
x
+
8
)
=
0
(x+5)(x+8)=0
(
x
+
5
)
(
x
+
8
)
=
0
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Subtract.
\newline
(
9
k
+
5
)
−
(
6
k
+
1
)
(9k + 5) - (6k + 1)
(
9
k
+
5
)
−
(
6
k
+
1
)
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Subtract.
\newline
(
8
v
+
5
)
−
(
3
v
+
1
)
(8v + 5) - (3v + 1)
(
8
v
+
5
)
−
(
3
v
+
1
)
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6
x
2
+
7
x
+
1
=
0
6 x^{2}+7 x+1=0
6
x
2
+
7
x
+
1
=
0
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lim
x
→
+
∞
4
x
2
−
3
x
+
7
−
x
x
+
2
\lim _{x \rightarrow+\infty} \frac{\sqrt{4 x^{2}-3 x+7}-x}{x+2}
lim
x
→
+
∞
x
+
2
4
x
2
−
3
x
+
7
−
x
\newline
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Multiply.
2
x
(
5
+
2
3
x
+
8
)
\sqrt{2 x}(\sqrt{5}+2 \sqrt{3 x}+\sqrt{8})
2
x
(
5
+
2
3
x
+
8
)
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Add.
\newline
(
2
n
2
+
9
n
+
8
)
+
(
9
n
2
+
5
n
+
8
)
(2n^2 + 9n + 8) + (9n^2 + 5n + 8)
(
2
n
2
+
9
n
+
8
)
+
(
9
n
2
+
5
n
+
8
)
\newline
______
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Subtract.
\newline
(
4
a
2
+
7
a
+
7
)
−
(
5
a
+
4
)
(4a^2 + 7a + 7) - (5a + 4)
(
4
a
2
+
7
a
+
7
)
−
(
5
a
+
4
)
\newline
______
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Add.
\newline
(
2
h
2
+
9
h
+
1
)
+
(
7
h
+
7
)
(2h^2 + 9h + 1) + (7h + 7)
(
2
h
2
+
9
h
+
1
)
+
(
7
h
+
7
)
\newline
______
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Add.
\newline
(
6
s
2
+
6
s
+
7
)
+
(
7
s
2
+
8
s
+
7
)
(6s^2 + 6s + 7) + (7s^2 + 8s + 7)
(
6
s
2
+
6
s
+
7
)
+
(
7
s
2
+
8
s
+
7
)
\newline
______
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Add.
\newline
(
2
v
2
+
8
v
+
4
)
+
(
4
v
2
+
8
v
+
8
)
(2v^2 + 8v + 4) + (4v^2 + 8v + 8)
(
2
v
2
+
8
v
+
4
)
+
(
4
v
2
+
8
v
+
8
)
\newline
______
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(
3
5
a
+
4
7
)
2
\left(\frac{3}{5}a+\frac{4}{7}\right)^2
(
5
3
a
+
7
4
)
2
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Evaluate.
\newline
5
x
2
=
11
+
2
x
3
\frac{5 x}{2}=11+\frac{2 x}{3}
2
5
x
=
11
+
3
2
x
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1
1
1
)
(
5
+
2
3
)
2
\quad(5+2 \sqrt{3})^{2}
(
5
+
2
3
)
2
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4
(
2
+
3
)
+
5
(
4
−
2
)
4(2+3)+5(4-2)
4
(
2
+
3
)
+
5
(
4
−
2
)
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Find the vertex.
\newline
F
(
x
)
=
−
1
2
x
2
+
2
−
1
F(x) = -\frac{1}{2}x^2 +2 -1
F
(
x
)
=
−
2
1
x
2
+
2
−
1
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3
x
(
10
+
x
2
)
=
15
x
3x\left(\frac{10+x}{2}\right)=15x
3
x
(
2
10
+
x
)
=
15
x
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(a)
15
=
x
+
5
15=x+5
15
=
x
+
5
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5
(
x
−
2
y
)
2
−
(
x
−
2
y
)
5(x-2 y)^{2}-(x-2 y)
5
(
x
−
2
y
)
2
−
(
x
−
2
y
)
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x
2
+
15
x
+
54
x^{2}+15 x+54
x
2
+
15
x
+
54
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(
5
b
3
+
9
b
+
4
)
−
(
9
b
−
4
)
=
(5b^3+9b+4) -(9b-4)=
(
5
b
3
+
9
b
+
4
)
−
(
9
b
−
4
)
=
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(
4
x
6
−
3
x
)
(
4
x
6
+
3
x
)
\left(4 x^{6}-3 x\right)\left(4 x^{6}+3 x\right)
(
4
x
6
−
3
x
)
(
4
x
6
+
3
x
)
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Solve.
\newline
3
x
−
9
x
2
=
−
10
3 x-9 x^{2}=-10
3
x
−
9
x
2
=
−
10
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
7
±
77
2
x=\frac{7 \pm \sqrt{77}}{2}
x
=
2
7
±
77
\newline
(B)
x
=
−
2
±
13
−
3
x=\frac{-2 \pm \sqrt{13}}{-3}
x
=
−
3
−
2
±
13
\newline
(C)
x
=
−
5
±
305
14
x=\frac{-5 \pm \sqrt{305}}{14}
x
=
14
−
5
±
305
\newline
(D)
x
=
−
1
±
41
−
6
x=\frac{-1 \pm \sqrt{41}}{-6}
x
=
−
6
−
1
±
41
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Solve for
x
x
x
.
\newline
−
3
x
(
5
x
+
1
)
(
8
−
2
x
)
-3x(5x + 1)(8 - 2x)
−
3
x
(
5
x
+
1
)
(
8
−
2
x
)
\newline
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Subtract.
\newline
(
3
b
2
+
7
b
+
6
)
−
(
6
b
+
5
)
(3b^2 + 7b + 6) - (6b + 5)
(
3
b
2
+
7
b
+
6
)
−
(
6
b
+
5
)
Get tutor help
Subtract.
\newline
(
5
f
2
+
7
f
+
1
)
−
(
4
f
2
+
5
f
)
(5f^2 + 7f + 1) - (4f^2 + 5f)
(
5
f
2
+
7
f
+
1
)
−
(
4
f
2
+
5
f
)
\newline
______
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Subtract.
\newline
(
9
j
2
+
9
j
+
7
)
−
(
5
j
2
+
3
)
(9j^2 + 9j + 7) - (5j^2 + 3)
(
9
j
2
+
9
j
+
7
)
−
(
5
j
2
+
3
)
\newline
______
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Add.
\newline
(
d
2
+
6
d
+
6
)
+
(
9
d
+
9
)
(d^2 + 6d + 6) + (9d + 9)
(
d
2
+
6
d
+
6
)
+
(
9
d
+
9
)
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Subtract.
\newline
(
9
t
2
+
6
t
+
5
)
−
(
2
t
2
+
6
t
)
(9t^2 + 6t + 5) - (2t^2 + 6t)
(
9
t
2
+
6
t
+
5
)
−
(
2
t
2
+
6
t
)
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Add.
\newline
(
9
q
2
+
8
q
+
8
)
+
(
6
q
+
6
)
(9q^2 + 8q + 8) + (6q + 6)
(
9
q
2
+
8
q
+
8
)
+
(
6
q
+
6
)
\newline
______
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Add.
\newline
(
2
n
+
4
)
+
(
5
n
2
+
9
n
+
3
)
(2n + 4) + (5n^2 + 9n + 3)
(
2
n
+
4
)
+
(
5
n
2
+
9
n
+
3
)
Get tutor help
Subtract.
\newline
(
8
y
2
+
8
)
−
(
7
y
2
+
4
)
(8y^2 + 8) - (7y^2 + 4)
(
8
y
2
+
8
)
−
(
7
y
2
+
4
)
Get tutor help
Subtract.
\newline
(
6
q
2
+
8
q
+
5
)
−
(
5
q
+
3
)
(6q^2 + 8q + 5) - (5q + 3)
(
6
q
2
+
8
q
+
5
)
−
(
5
q
+
3
)
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Add.
\newline
(
8
u
+
8
)
+
(
8
u
2
+
3
u
+
3
)
(8u + 8) + (8u^2 + 3u + 3)
(
8
u
+
8
)
+
(
8
u
2
+
3
u
+
3
)
Get tutor help
Subtract.
\newline
(
9
c
2
+
6
c
+
2
)
−
(
4
c
2
+
c
)
(9c^2 + 6c + 2) - (4c^2 + c)
(
9
c
2
+
6
c
+
2
)
−
(
4
c
2
+
c
)
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Add.
\newline
(
7
a
2
+
9
a
+
1
)
+
(
5
a
2
+
a
+
3
)
(7a^2 + 9a + 1) + (5a^2 + a + 3)
(
7
a
2
+
9
a
+
1
)
+
(
5
a
2
+
a
+
3
)
\newline
______
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Add.
\newline
(
3
q
2
+
5
q
+
8
)
+
(
3
q
2
+
4
q
+
1
)
(3q^2 + 5q + 8) + (3q^2 + 4q + 1)
(
3
q
2
+
5
q
+
8
)
+
(
3
q
2
+
4
q
+
1
)
\newline
______
Get tutor help
Subtract.
\newline
(
6
r
2
+
5
r
+
8
)
−
(
4
r
+
8
)
(6r^2 + 5r + 8) - (4r + 8)
(
6
r
2
+
5
r
+
8
)
−
(
4
r
+
8
)
Get tutor help
Subtract.
\newline
(
3
x
+
7
)
−
(
3
x
+
5
)
(3x + 7) - (3x + 5)
(
3
x
+
7
)
−
(
3
x
+
5
)
Get tutor help
Add.
\newline
(
3
z
2
+
3
z
+
9
)
+
(
7
z
+
6
)
(3z^2 + 3z + 9) + (7z + 6)
(
3
z
2
+
3
z
+
9
)
+
(
7
z
+
6
)
\newline
______
Get tutor help
Subtract.
\newline
(
8
h
2
+
7
h
+
1
)
−
4
h
2
(8h^2 + 7h + 1) - 4h^2
(
8
h
2
+
7
h
+
1
)
−
4
h
2
Get tutor help
Add.
\newline
(
9
x
2
+
4
)
+
(
x
+
7
)
(9x^2 + 4) + (x + 7)
(
9
x
2
+
4
)
+
(
x
+
7
)
Get tutor help
Add.
\newline
(
3
a
2
+
8
a
+
9
)
+
(
7
a
+
9
)
(3a^2 + 8a + 9) + (7a + 9)
(
3
a
2
+
8
a
+
9
)
+
(
7
a
+
9
)
\newline
______
Get tutor help
Add.
\newline
(
9
k
2
+
4
k
)
+
(
5
k
+
2
)
(9k^2 + 4k) + (5k + 2)
(
9
k
2
+
4
k
)
+
(
5
k
+
2
)
Get tutor help
Add.
\newline
(
7
y
2
+
4
y
+
9
)
+
(
5
y
+
7
)
(7y^2 + 4y + 9) + (5y + 7)
(
7
y
2
+
4
y
+
9
)
+
(
5
y
+
7
)
\newline
______
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Add.
\newline
(
m
2
+
5
m
+
1
)
+
(
5
m
+
1
)
(m^2 + 5m + 1) + (5m + 1)
(
m
2
+
5
m
+
1
)
+
(
5
m
+
1
)
Get tutor help
Add.
\newline
(
7
w
2
+
9
w
)
+
(
w
2
+
5
w
+
2
)
(7w^2 + 9w) + (w^2 + 5w + 2)
(
7
w
2
+
9
w
)
+
(
w
2
+
5
w
+
2
)
\newline
______
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2
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