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Math Problems
Algebra 2
Solve complex trigonomentric equations
What value of
w
w
w
is a solution to this equation?
\newline
10
w
=
100
10w = 100
10
w
=
100
\newline
Choices:
\newline
(A)
w
=
8
w = 8
w
=
8
\newline
(B)
w
=
10
w = 10
w
=
10
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What value of
v
v
v
is a solution to this equation?
\newline
7
v
=
7
7v = 7
7
v
=
7
\newline
Choices:
\newline
(A)
v
=
1
v = 1
v
=
1
\newline
(B)
v
=
2
v = 2
v
=
2
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What value of
z
z
z
is a solution to this equation?
\newline
z
−
3
=
7
z - 3 = 7
z
−
3
=
7
\newline
Choices:
\newline
(A)
z
=
10
z = 10
z
=
10
\newline
(B)
z
=
11
z = 11
z
=
11
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What value of
w
w
w
is a solution to this equation?
\newline
6
w
=
12
6w = 12
6
w
=
12
\newline
Choices:
\newline
(A)
w
=
0
w = 0
w
=
0
\newline
(B)
w
=
2
w = 2
w
=
2
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What value of
c
c
c
is a solution to this equation?
\newline
c
+
5
=
8
c + 5 = 8
c
+
5
=
8
\newline
Choices:
\newline
(A)
c
=
3
c = 3
c
=
3
\newline
(B)
c
=
5
c = 5
c
=
5
Get tutor help
What value of
t
t
t
is a solution to this equation?
\newline
11
+
t
=
20
11 + t = 20
11
+
t
=
20
\newline
Choices:
\newline
(A)
t
=
7
t = 7
t
=
7
\newline
(B)
t
=
9
t = 9
t
=
9
Get tutor help
What value of
w
w
w
is a solution to this equation?
\newline
13
+
w
=
22
13 + w = 22
13
+
w
=
22
\newline
Choices:
\newline
(A)
w
=
9
w = 9
w
=
9
\newline
(B)
w
=
10
w = 10
w
=
10
Get tutor help
What value of
p
p
p
is a solution to this equation?
\newline
8
+
p
=
20
8 + p = 20
8
+
p
=
20
\newline
Choices:
\newline
(A)
p
=
11
p = 11
p
=
11
\newline
(B)
p
=
12
p = 12
p
=
12
Get tutor help
What value of
s
s
s
is a solution to this equation?
\newline
s
+
5
=
14
s + 5 = 14
s
+
5
=
14
\newline
Choices:
\newline
(A)
s
=
9
s = 9
s
=
9
\newline
(B)
s
=
11
s = 11
s
=
11
Get tutor help
What value of
w
w
w
is a solution to this equation?
\newline
w
+
5
=
17
w + 5 = 17
w
+
5
=
17
\newline
Choices:
\newline
(A)
w
=
10
w = 10
w
=
10
\newline
(B)
w
=
12
w = 12
w
=
12
Get tutor help
What value of
s
s
s
is a solution to this equation?
\newline
s
−
2
=
5
s - 2 = 5
s
−
2
=
5
\newline
Choices:
\newline
(A)
s
=
7
s = 7
s
=
7
\newline
(B)
s
=
9
s = 9
s
=
9
Get tutor help
What value of
v
v
v
is a solution to this equation?
\newline
v
+
5
=
7
v + 5 = 7
v
+
5
=
7
\newline
Choices:
\newline
(A)
v
=
0
v = 0
v
=
0
\newline
(B)
v
=
2
v = 2
v
=
2
Get tutor help
What value of
s
s
s
is a solution to this equation?
\newline
20
+
s
=
23
20 + s = 23
20
+
s
=
23
\newline
Choices:
\newline
(A)
s
=
3
s = 3
s
=
3
\newline
(B)
s
=
5
s = 5
s
=
5
Get tutor help
What value of
d
d
d
is a solution to this equation?
\newline
d
+
9
=
20
d + 9 = 20
d
+
9
=
20
\newline
Choices:
\newline
(A)
d
=
10
d = 10
d
=
10
\newline
(B)
d
=
11
d = 11
d
=
11
Get tutor help
What value of
w
w
w
is a solution to this equation?
\newline
w
+
2
=
4
w + 2 = 4
w
+
2
=
4
\newline
Choices:
\newline
(A)
w
=
2
w = 2
w
=
2
\newline
(B)
w
=
3
w = 3
w
=
3
Get tutor help
What value of
s
s
s
is a solution to this equation?
\newline
s
−
2
=
7
s - 2 = 7
s
−
2
=
7
\newline
Choices:
\newline
(A)
s
=
9
s = 9
s
=
9
\newline
(B)
s
=
10
s = 10
s
=
10
Get tutor help
What value of
s
s
s
is a solution to this equation?
\newline
5
s
=
5
5s = 5
5
s
=
5
\newline
Choices:
\newline
(A)
s
=
0
s = 0
s
=
0
\newline
(B)
s
=
1
s = 1
s
=
1
Get tutor help
What value of
t
t
t
is a solution to this equation?
\newline
t
−
2
=
3
t - 2 = 3
t
−
2
=
3
\newline
Choices:
\newline
(A)
t
=
5
t = 5
t
=
5
\newline
(B)
t
=
6
t = 6
t
=
6
Get tutor help
What value of
y
y
y
is a solution to this equation?
\newline
y
−
4
=
3
y - 4 = 3
y
−
4
=
3
\newline
Choices:
\newline
(A)
y
=
6
y = 6
y
=
6
\newline
(B)
y
=
7
y = 7
y
=
7
Get tutor help
What value of
s
s
s
is a solution to this equation?
\newline
4
s
=
36
4s = 36
4
s
=
36
\newline
Choices:
\newline
(A)
s
=
9
s = 9
s
=
9
\newline
(B)
s
=
11
s = 11
s
=
11
Get tutor help
What value of
w
w
w
is a solution to this equation?
\newline
4
w
=
8
4w = 8
4
w
=
8
\newline
Choices:
\newline
(A)
w
=
1
w = 1
w
=
1
\newline
(B)
w
=
2
w = 2
w
=
2
Get tutor help
What value of
b
b
b
is a solution to this equation?
\newline
b
−
5
=
7
b - 5 = 7
b
−
5
=
7
\newline
Choices:
\newline
(A)
b
=
11
b = 11
b
=
11
\newline
(B)
b
=
12
b = 12
b
=
12
Get tutor help
What value of
c
c
c
is a solution to this equation?
\newline
2
c
=
22
2c = 22
2
c
=
22
\newline
Choices:
\newline
(A)
c
=
9
c = 9
c
=
9
\newline
(B)
c
=
11
c = 11
c
=
11
Get tutor help
What value of
p
p
p
is a solution to this equation?
\newline
p
−
2
=
6
p - 2 = 6
p
−
2
=
6
\newline
Choices:
\newline
(A)
p
=
8
p = 8
p
=
8
\newline
(B)
p
=
9
p = 9
p
=
9
Get tutor help
What value of
q
q
q
is a solution to this equation?
\newline
q
+
12
=
12
q + 12 = 12
q
+
12
=
12
\newline
Choices:
\newline
(A)
q
=
0
q = 0
q
=
0
\newline
(B)
q
=
2
q = 2
q
=
2
Get tutor help
What value of
y
y
y
is a solution to this equation?
\newline
y
+
5
=
5
y + 5 = 5
y
+
5
=
5
\newline
Choices:
\newline
(A)
y
=
0
y = 0
y
=
0
\newline
(B)
y
=
2
y = 2
y
=
2
Get tutor help
What value of
q
q
q
is a solution to this equation?
\newline
4
q
=
20
4q = 20
4
q
=
20
\newline
Choices:
\newline
(A)
q
=
4
q = 4
q
=
4
\newline
(B)
q
=
5
q = 5
q
=
5
Get tutor help
What value of
d
d
d
is a solution to this equation?
\newline
6
d
=
36
6d = 36
6
d
=
36
\newline
Choices:
\newline
(A)
d
=
5
d = 5
d
=
5
\newline
(B)
d
=
6
d = 6
d
=
6
Get tutor help
What value of
z
z
z
is a solution to this equation?
\newline
17
+
z
=
25
17 + z = 25
17
+
z
=
25
\newline
Choices:
\newline
(A)
z
=
8
z = 8
z
=
8
\newline
(B)
z
=
10
z = 10
z
=
10
Get tutor help
What value of
z
z
z
is a solution to this equation?
\newline
z
−
7
=
3
z - 7 = 3
z
−
7
=
3
Get tutor help
What value of
w
w
w
is a solution to this equation?
\newline
w
+
9
=
11
w + 9 = 11
w
+
9
=
11
Get tutor help
What value of
w
w
w
is a solution to this equation?
\newline
w
+
16
=
28
w + 16 = 28
w
+
16
=
28
\newline
Choices:
\newline
(A)
w
=
10
w = 10
w
=
10
\newline
(B)
w
=
12
w = 12
w
=
12
Get tutor help
What value of
b
b
b
is a solution to this equation?
\newline
2
+
b
=
3
2 + b = 3
2
+
b
=
3
\newline
Choices:
\newline
(A)
b
=
0
b = 0
b
=
0
\newline
(B)
b
=
1
b = 1
b
=
1
Get tutor help
What value of
w
w
w
is a solution to this equation?
\newline
w
+
13
=
17
w + 13 = 17
w
+
13
=
17
\newline
Choices:
\newline
(A)
w
=
3
w = 3
w
=
3
\newline
(B)
w
=
4
w = 4
w
=
4
Get tutor help
What value of
w
w
w
is a solution to this equation?
\newline
w
+
10
=
20
w + 10 = 20
w
+
10
=
20
\newline
Choices:
\newline
(A)
w
=
10
w = 10
w
=
10
\newline
(B)
w
=
12
w = 12
w
=
12
Get tutor help
What value of
z
z
z
is a solution to this equation?
\newline
11
+
z
=
23
11 + z = 23
11
+
z
=
23
\newline
Choices:
\newline
(A)
z
=
10
z = 10
z
=
10
\newline
(B)
z
=
12
z = 12
z
=
12
Get tutor help
What value of
s
s
s
is a solution to this equation?
\newline
20
+
s
=
24
20 + s = 24
20
+
s
=
24
\newline
Choices:
\newline
(A)
s
=
4
s = 4
s
=
4
\newline
(B)
s
=
5
s = 5
s
=
5
Get tutor help
What value of
w
w
w
is a solution to this equation?
\newline
w
+
1
=
8
w + 1 = 8
w
+
1
=
8
Get tutor help
What value of
r
r
r
is a solution to this equation?
\newline
r
−
3
=
3
r - 3 = 3
r
−
3
=
3
\newline
Choices:
\newline
(A)
r
=
6
r = 6
r
=
6
\newline
(B)
r
=
7
r = 7
r
=
7
Get tutor help
What value of
p
p
p
is a solution to this equation?
\newline
p
−
3
=
7
p - 3 = 7
p
−
3
=
7
\newline
Choices:
\newline
(A)
p
=
9
p = 9
p
=
9
\newline
(B)
p
=
10
p = 10
p
=
10
Get tutor help
What value of
b
b
b
is a solution to this equation?
\newline
b
+
20
=
27
b + 20 = 27
b
+
20
=
27
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Factor the quadratic expression
x
2
+
x
+
1
=
0
x^{2}+x+1=0
x
2
+
x
+
1
=
0
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∫
3
cosec
5
x
cot
x
d
x
\int 3 \operatorname{cosec}^{5} x \cot x d x
∫
3
cosec
5
x
cot
x
d
x
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check if the point satisfies the equation
4
x
+
2
y
=
−
10
4 x+2 y=-10
4
x
+
2
y
=
−
10
point:
(
−
3
,
7
)
(-3,7)
(
−
3
,
7
)
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x
2
+
5
x
+
3
=
0
x^{2}+5 x+3=0
x
2
+
5
x
+
3
=
0
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76
76
76
. Prove the identity.
\newline
cos
4
x
−
sin
4
x
=
cos
2
x
\cos ^{4} x-\sin ^{4} x=\cos 2 x
cos
4
x
−
sin
4
x
=
cos
2
x
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Find all critical points of
f
(
x
)
=
8
x
3
−
24
x
−
36
f(x)=8 x^{3}-24 x-36
f
(
x
)
=
8
x
3
−
24
x
−
36
.
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Directions: Solve each irrational solutions.
\newline
x
2
−
2
x
−
4
=
0
x^{2} - 2x - 4 = 0
x
2
−
2
x
−
4
=
0
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What is the derivative of
y
=
4
x
2
+
cot
x
y=4x^{2}+\cot x
y
=
4
x
2
+
cot
x
?
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Solve the equation given below and find the value of
x
x
x
and
y
y
y
x
+
y
=
3
x + y = 3
x
+
y
=
3
x
−
y
=
1
x - y = 1
x
−
y
=
1
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