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Algebra 2
Roots of integers
4
3
\sqrt{4^{3}}
4
3
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What is the slope of a line that passes through the points
(
1
,
1
3
)
(1, \frac{1}{3})
(
1
,
3
1
)
and
(
0
,
−
1
3
)
(0, -\frac{1}{3})
(
0
,
−
3
1
)
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Add, subtract, multiply, or divide as indicated to simplify each expression. Remember to work within the parentheses first.
\newline
(
6
⋅
2
)
⋅
5
(6\cdot2)\cdot5
(
6
⋅
2
)
⋅
5
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Solve:
1
2
+
3
\frac{1}{2+\sqrt{3}}
2
+
3
1
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(c)
3
1
2
×
2
1
4
3 \frac{1}{2} \times 2 \frac{1}{4}
3
2
1
×
2
4
1
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Write the following as an exponential expression.
\newline
a
2
5
\sqrt[5]{a^{2}}
5
a
2
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Find five rational numbers between
3
5
&
4
5
\frac{3}{5} \& \frac{4}{5}
5
3
&
5
4
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Write
(
1
−
2
i
)
4
(1-2 i)^{4}
(
1
−
2
i
)
4
in simplest
a
+
b
i
a+b i
a
+
bi
form.
\newline
Answer:
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Simplify each expression.
\newline
5
1
−
7
\frac{5}{1-\sqrt{7}}
1
−
7
5
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Find the argument of the complex number
6
−
6
i
6-6 i
6
−
6
i
in the interval
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, rounding to the nearest tenth of a degree if necessary.
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125
−
192
\sqrt{125} - \sqrt{192}
125
−
192
=
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Select the answer which is equivalent to the given expression using your calculator.
\newline
−
16
20
+
8
\frac{-16}{20+\sqrt{8}}
20
+
8
−
16
\newline
−
40
+
2
8
7
\frac{-40+2 \sqrt{8}}{7}
7
−
40
+
2
8
\newline
−
40
−
2
8
49
\frac{-40-2 \sqrt{8}}{49}
49
−
40
−
2
8
\newline
−
40
+
2
8
49
\frac{-40+2 \sqrt{8}}{49}
49
−
40
+
2
8
\newline
−
40
−
2
8
7
\frac{-40-2 \sqrt{8}}{7}
7
−
40
−
2
8
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Select the answer which is equivalent to the given expression using your calculator.
\newline
−
8
−
20
+
18
\frac{-8}{-20+\sqrt{18}}
−
20
+
18
−
8
\newline
80
−
4
18
191
\frac{80-4 \sqrt{18}}{191}
191
80
−
4
18
\newline
400
−
20
18
191
\frac{400-20 \sqrt{18}}{191}
191
400
−
20
18
\newline
80
+
4
18
191
\frac{80+4 \sqrt{18}}{191}
191
80
+
4
18
\newline
400
+
20
18
191
\frac{400+20 \sqrt{18}}{191}
191
400
+
20
18
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Select the answer which is equivalent to the given expression using your calculator.
\newline
−
13
−
1
−
14
\frac{-13}{-1-\sqrt{14}}
−
1
−
14
−
13
\newline
−
7
+
7
14
-7+7 \sqrt{14}
−
7
+
7
14
\newline
−
1
+
14
-1+\sqrt{14}
−
1
+
14
\newline
−
7
−
7
14
-7-7 \sqrt{14}
−
7
−
7
14
\newline
−
1
−
14
-1-\sqrt{14}
−
1
−
14
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What is the value of
ln
e
4
\ln \sqrt[4]{e}
ln
4
e
?
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80
\sqrt{80}
80
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Click and drag like terms onto each other to simplify fully.
\newline
4
y
−
y
−
7
−
4
y
3
+
3
y
+
7
−
4
x
2
4 y-y-7-4 y^{3}+3 y+7-4 x^{2}
4
y
−
y
−
7
−
4
y
3
+
3
y
+
7
−
4
x
2
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Click and drag like terms onto each other to simplify fully.
\newline
4
y
2
−
6
y
+
5
y
+
x
2
+
6
x
−
4
x
+
5
x
2
4 y^{2}-6 y+5 y+x^{2}+6 x-4 x+5 x^{2}
4
y
2
−
6
y
+
5
y
+
x
2
+
6
x
−
4
x
+
5
x
2
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Click and drag like terms onto each other to simplify fully.
\newline
3
+
3
−
2
+
3
y
3
−
2
y
3
+
5
y
2
+
6
x
3+3-2+3 y^{3}-2 y^{3}+5 y^{2}+6 x
3
+
3
−
2
+
3
y
3
−
2
y
3
+
5
y
2
+
6
x
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Click and drag like terms onto each other to simplify fully.
\newline
−
3
x
3
+
6
x
+
y
2
−
3
x
+
2
x
3
+
5
x
3
+
6
y
2
-3 x^{3}+6 x+y^{2}-3 x+2 x^{3}+5 x^{3}+6 y^{2}
−
3
x
3
+
6
x
+
y
2
−
3
x
+
2
x
3
+
5
x
3
+
6
y
2
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Click and drag like terms onto each other to simplify fully.
\newline
−
3
y
3
+
y
2
−
5
y
3
−
3
+
4
+
2
+
y
3
-3 y^{3}+y^{2}-5 y^{3}-3+4+2+y^{3}
−
3
y
3
+
y
2
−
5
y
3
−
3
+
4
+
2
+
y
3
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Click and drag like terms onto each other to simplify fully.
\newline
6
y
2
+
6
+
4
x
−
2
x
3
−
7
−
3
y
2
−
4
x
3
6 y^{2}+6+4 x-2 x^{3}-7-3 y^{2}-4 x^{3}
6
y
2
+
6
+
4
x
−
2
x
3
−
7
−
3
y
2
−
4
x
3
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Factor the expression completely.
\newline
x
y
+
y
5
x y+y^{5}
x
y
+
y
5
\newline
Answer:
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Find all angles,
0
∘
≤
θ
<
36
0
∘
0^\circ \leq \theta < 360^\circ
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
5
tan
2
(
θ
)
−
16
tan
(
θ
)
=
−
9
tan
(
θ
)
−
2
5\tan^2(\theta)-16 \tan(\theta)=-9\tan(\theta)-2
5
tan
2
(
θ
)
−
16
tan
(
θ
)
=
−
9
tan
(
θ
)
−
2
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Solve for
x
\mathrm{x}
x
in simplest form.
\newline
3
=
4
3
(
4
x
+
3
)
3=\frac{4}{3}(4 x+3)
3
=
3
4
(
4
x
+
3
)
\newline
Answer:
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Use the distributive property to write an equivalent expression.
\newline
8
(
k
+
10
)
8(k+10)
8
(
k
+
10
)
\newline
Answer:
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Use the distributive property to write an equivalent expression.
\newline
3
(
t
+
5
v
)
3(t+5 v)
3
(
t
+
5
v
)
\newline
Answer:
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Use the distributive property to write an equivalent expression.
\newline
4
(
8
t
+
9
v
)
4(8 t+9 v)
4
(
8
t
+
9
v
)
\newline
Answer:
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Use the distributive property to write an equivalent expression.
\newline
4
(
6
m
+
10
)
4(6 m+10)
4
(
6
m
+
10
)
\newline
Answer:
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Use the distributive property to write an equivalent expression.
\newline
4
(
x
+
6
y
)
4(x+6 y)
4
(
x
+
6
y
)
\newline
Answer:
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Use the distributive property to write an equivalent expression.
\newline
5
(
8
y
+
7
)
5(8 y+7)
5
(
8
y
+
7
)
\newline
Answer:
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Click and drag like terms onto each other to simplify fully.
\newline
y
+
6
+
2
x
−
3
−
4
x
y+6+2 x-3-4 x
y
+
6
+
2
x
−
3
−
4
x
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Click and drag like terms onto each other to simplify fully.
\newline
−
4
x
−
7
−
7
y
−
1
−
2
y
-4 x-7-7 y-1-2 y
−
4
x
−
7
−
7
y
−
1
−
2
y
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Use the distributive property to write an equivalent expression.
\newline
3
(
r
+
8
)
3(r+8)
3
(
r
+
8
)
\newline
Answer:
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Click and drag like terms onto each other to simplify fully.
\newline
1
+
y
+
5
y
−
2
x
−
7
−
6
y
1+y+5 y-2 x-7-6 y
1
+
y
+
5
y
−
2
x
−
7
−
6
y
Get tutor help
Click and drag like terms onto each other to simplify fully.
\newline
−
y
+
6
+
4
y
−
2
y
+
3
-y+6+4 y-2 y+3
−
y
+
6
+
4
y
−
2
y
+
3
Get tutor help
Click and drag like terms onto each other to simplify fully.
\newline
−
5
x
+
5
x
−
5
+
4
x
-5 x+5 x-5+4 x
−
5
x
+
5
x
−
5
+
4
x
Get tutor help
Click and drag like terms onto each other to simplify fully.
\newline
3
y
−
7
+
2
x
+
2
y
−
1
+
6
x
3 y-7+2 x+2 y-1+6 x
3
y
−
7
+
2
x
+
2
y
−
1
+
6
x
Get tutor help
Convert the following repeating decimal to a fraction in simplest form.
\newline
.
43
‾
. \overline{43}
.
43
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
42
‾
. \overline{42}
.
42
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
15
‾
. \overline{15}
.
15
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
49
‾
. \overline{49}
.
49
\newline
Answer:
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Perform the addition
0
15
0_{15}
0
15
.
\newline
1
1
+
cos
x
+
1
1
−
cos
x
\frac{1}{1+\cos x}+\frac{1}{1-\cos x}
1
+
c
o
s
x
1
+
1
−
c
o
s
x
1
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Distribute to create an equivalent expression with the fewest symbols possible.
1
2
(
10
x
+
20
y
+
10
z
)
\frac{1}{2}(10x+20y+10z)
2
1
(
10
x
+
20
y
+
10
z
)
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Find the real-number root.
\newline
16
\sqrt{16}
16
\newline
\newline
Write your answer in simplified form.
\newline
_
_
_
_
\_\_\_\_
____
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