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Math Problems
Algebra 2
Roots of rational numbers
Combine like terms.
\newline
a.
\newline
9
5
v
+
v
=
28
\frac{9}{5}v+v=28
5
9
v
+
v
=
28
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Divide:
\newline
(
918595
5
)
(\frac{918595}{5})
(
5
918595
)
\newline
Number
\newline
Remainder: Number
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Simplify. Write your answer as a proper or improper fraction in simplest form.
\newline
50
33
31
34
=
\frac{\frac{50}{33}}{\frac{31}{34}}=
34
31
33
50
=
\newline
□
\square
□
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Divide.
\newline
27
64
3
\sqrt[3]{\frac{27}{64}}
3
64
27
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Find the line's slope and a point on the line.
\newline
y
−
1
=
−
1
3
(
x
+
5
)
y-1=-\frac{1}{3}(x+5)
y
−
1
=
−
3
1
(
x
+
5
)
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Find a point on the line and the line's slope.
\newline
y
+
4
=
1
4
(
x
+
5
)
y+4=\frac{1}{4}(x+5)
y
+
4
=
4
1
(
x
+
5
)
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Find the line's slope and a point on the line.
\newline
y
+
5
=
−
3
2
(
x
−
1
)
y+5=-\frac{3}{2}(x-1)
y
+
5
=
−
2
3
(
x
−
1
)
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33
33
33
. A line segment has endpoints
(
−
7
,
3
)
(-7,3)
(
−
7
,
3
)
and
(
−
19
,
−
6
)
(-19,-6)
(
−
19
,
−
6
)
. What is the length of the segment?
\newline
(A)
3
7
3 \sqrt{7}
3
7
units
\newline
(B)
3
17
3 \sqrt{17}
3
17
units
\newline
(C)
15
15
15
units
\newline
(D)
10
2
10 \sqrt{2}
10
2
units
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Unit Exam - Algebraic Language and Expressions
\newline
Find the quotient.
\newline
Simplify your answer completely.
\newline
6
5
−
4
9
=
−
[
?
]
‾
\frac{\frac{6}{5}}{-\frac{4}{9}}=-\underline{[?]}
−
9
4
5
6
=
−
[
?]
\newline
Enter the number that belongs in the green box.
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rom the following equal ordered pa
\newline
(
x
+
2
y
,
3
)
=
(
−
1
,
2
x
−
y
)
(x+2 y, 3)=(-1,2 x-y)
(
x
+
2
y
,
3
)
=
(
−
1
,
2
x
−
y
)
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What is the unit rate in miles per gallon?
\newline
15
4
1
5
=
□
?
\frac{\frac{15}{4}}{\frac{1}{5}}=\square ?
5
1
4
15
=
□
?
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Rewrite the expression in the form
z
n
z^{n}
z
n
.
\newline
Write the exponent as an integer, fraction, or an exact number).
\newline
z
4
z
−
3
2
5
=
\sqrt[5]{z^{4} z^{-\frac{3}{2}}}=
5
z
4
z
−
2
3
=
\newline
□
\square
□
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root is the product of
n
1
n \quad 1
n
1
fractions.) The value of
n
n
n
is
\newline
(A)
81
81
81
\newline
(B)
64
64
64
\newline
(C)
16
16
16
\newline
(D)
256
256
256
\newline
(E)
100
100
100
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root is the product of
\newline
n
n
n
I fractions.) The value of
\newline
n
n
n
is
\newline
(A)
81
81
81
\newline
(B)
61
61
61
\newline
(C)
16
16
16
\newline
(D)
256
256
256
\newline
(E)
100
100
100
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root is the product of
n
n
n
I fractions.) The value of
n
n
n
is
\newline
(A)
81
81
81
\newline
(
11
11
11
)
64
64
64
\newline
(k)
16
16
16
\newline
(i)
256
256
256
\newline
(
1
1
1
))
100
100
100
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Simplify each complex fraction.
\newline
7
7
7
)
14
x
9
y
\frac{\frac{14}{x}}{\frac{9}{y}}
y
9
x
14
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19
19
19
and
20
20
20
)
\newline
*
\newline
Warm-Up
\newline
Write each decimal or percentage as a fraction.
\newline
\begin{tabular}{|c|c|}
\newline
\hline Value & Fraction \\
\newline
\hline
0
0
0
.
25
25
25
& 回 \\
\newline
\hline
40
%
40 \%
40%
& \\
\newline
\hline
1
%
1 \%
1%
& \\
\newline
\hline
0
0
0
.
8
8
8
& \\
\newline
\hline
\newline
\end{tabular}
\newline
(A)
\newline
soom
\newline
Sign out
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45
8
=
5
\frac{45}{8}=5
8
45
=
5
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Profiles
\newline
Tab
\newline
Window
\newline
Help
\newline
dvanced -
\newline
Cookie Clicker
\newline
Essential
\newline
gemaths.cambridge.edu.au/controlCentre/startT...
\newline
Outlook
\newline
New Teams
\newline
OneNote
\newline
PaperCut
\newline
Oxford
\newline
To avoid having to divide by
35
35
35
, which two factor
\newline
(Enter the smaller of the factors first.)
\newline
The two factors are
□
\square
□
\newline
□
\square
□
and
7
7
7
□
\square
□
\newline
□
\square
□
.
\newline
Question
8
8
8
\newline
Find the missing value. You may use your calcul
\newline
72
164
=
□
205
\frac{72}{164}=\frac{\square}{205}
164
72
=
205
□
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Jika
2
3
A
=
5
6
B
\frac{2}{3} A=\frac{5}{6} B
3
2
A
=
6
5
B
dan
A
=
x
B
A=x B
A
=
x
B
. Nilai dari
x
x
x
adalah
\newline
(A)
5
4
\frac{5}{4}
4
5
\newline
(D)
5
12
\frac{5}{12}
12
5
\newline
(B)
3
4
\frac{3}{4}
4
3
\newline
(E)
1
3
\frac{1}{3}
3
1
\newline
(C)
1
2
\frac{1}{2}
2
1
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180
6
2
+
9
2
3
\sqrt[3]{\frac{180}{6^{2}+9^{2}}}
3
6
2
+
9
2
180
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Add:
\newline
7
9
+
π
9
\frac{7}{9}+\frac{\pi}{9}
9
7
+
9
π
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1
1
1
. Hitung integral lipat dua berikut ini:
\newline
∬
R
(
2
x
+
3
y
)
d
A
dimana
R
=
{
(
x
,
y
)
∣
1
≤
x
≤
2
,
0
≤
y
≤
3
}
\begin{array}{l} \iint_{R}(2 x+3 y) d A \\ \text { dimana } R=\{(x, y) \mid 1 \leq x \leq 2,0 \leq y \leq 3\} \end{array}
∬
R
(
2
x
+
3
y
)
d
A
dimana
R
=
{(
x
,
y
)
∣
1
≤
x
≤
2
,
0
≤
y
≤
3
}
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Question
4
4
4
(
1
1
1
point)
\newline
Find the area of each figure.
\newline
4
4
4
)
\newline
A
=
m
2
A=m^{2}
A
=
m
2
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dday
(
04
/
16
/
2024
)
−
(04 / 16 / 2024)-
(
04/16/2024
)
−
CW
(
0
(0
(
0
\newline
classroom.google.com/c/NjE
3
3
3
NTQ
4
4
4
MzkXMjA
1
1
1
/a/NjcOMzczNDcyNTkW/details
\newline
Find the surface area of each figure. Kound your answers to the nearest hundredth, if necessary.
\newline
I)
\newline
2
2
2
)
\newline
3
3
3
)
\newline
4
4
4
)
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The perimeter of a square is increasing at a rate of
5
5
5
meters per hour.
\newline
At a certain instant, the perimeter is
30
30
30
meters.
\newline
What is the rate of change of the area of the square at that instant (in square meters per hour)?
\newline
Choose
1
1
1
answer:
\newline
(A)
5
4
\frac{5}{4}
4
5
\newline
(B)
25
25
25
\newline
(C)
75
4
\frac{75}{4}
4
75
\newline
(D)
25
16
\frac{25}{16}
16
25
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8
8
8
. Express
1
3
x
+
2
y
2
x
\frac{\frac{1}{3 x}+\frac{2}{y}}{\frac{2}{x}}
x
2
3
x
1
+
y
2
as a fraction in its simplest form.
\newline
CHAPTER
6
6
6
\newline
143
143
143
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6
6
6
Complete the table of equivalent values.
\newline
\begin{tabular}{|c|c|c|}
\newline
\hline Fraction & Decimal & Percentage \\
\newline
\hline
(
1
1
5
)
\left(1 \frac{1}{5}\right)
(
1
5
1
)
&
1
1
1
.
2
2
2
&
∣
20
\mid 20
∣
20
\\
\newline
\hline & &
30
%
30 \%
30%
\\
\newline
\hline &
0
0
0
.
54
54
54
& \\
\newline
\hline
\newline
\end{tabular}
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24
24
24
.
−
6
x
5
3
⋅
18
x
4
3
\sqrt[3]{-6 x^{5}} \cdot \sqrt[3]{18 x^{4}}
3
−
6
x
5
⋅
3
18
x
4
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3
4
=
k
1
2
\frac{3}{4}=\frac{k}{\frac{1}{2}}
4
3
=
2
1
k
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oblem
6
6
6
:
\newline
(first tat
\newline
lesson
\newline
the the value of this expression.
\newline
15
−
(
−
3
)
9
+
(
−
2
)
+
(
5
)
(
−
7
)
\frac{15-(-3)}{9}+(-2)+(5)(-7)
9
15
−
(
−
3
)
+
(
−
2
)
+
(
5
)
(
−
7
)
\newline
you enter your answer press
6
O
6 O
6
O
.
\newline
(
60
60
60
)
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64
3
\sqrt[3]{64}
3
64
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(g)
5
x
6
+
x
−
1
3
=
0
\frac{5 x}{6}+\frac{x-1}{3}=0
6
5
x
+
3
x
−
1
=
0
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Give the value for each. Round to the nearest
100
100
100
th if necessary.
\newline
9
125
3
\sqrt[3]{\frac{9}{125}}
3
125
9
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Question
7
7
7
(
2
2
2
points)
\newline
Give the value for each. Round to the nearest
100
100
100
th if necessary.
\newline
9
125
3
\sqrt[3]{\frac{9}{125}}
3
125
9
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1
1
1
. Suatu barisan aritmatika dengan
\newline
U
4
+
U
8
+
U
11
+
U
17
=
316.
\mathrm{U}_{4}+\mathrm{U}_{8}+\mathrm{U}_{11}+\mathrm{U}_{17}=316 .
U
4
+
U
8
+
U
11
+
U
17
=
316.
\newline
Nilai
U
10
\mathrm{U}_{10}
U
10
adalah
\newline
(A)
80
80
80
\newline
(B)
79
79
79
\newline
(C)
78
78
78
\newline
(D)
77
77
77
\newline
(E)
76
76
76
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(
8
21
)
4
3
\sqrt[3]{\left(\frac{8}{21}\right)^{4}}
3
(
21
8
)
4
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79
40
−
162.5
%
=
\frac{79}{40}-162.5 \%=
40
79
−
162.5%
=
\newline
□
\square
□
\newline
Enter the answer as an exact decimal or simplified fraction.
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Solve for
a
a
a
. Express your answer in simplest radical form if necessary.
\newline
a
=
(
178.8
)
2
a=(\sqrt{178.8})^{2}
a
=
(
178.8
)
2
\newline
Answer:
a
=
a=
a
=
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Solve for
a
a
a
. Express your answer in simplest radical form if necessary.
\newline
a
=
(
−
16
3
)
3
a=(\sqrt[3]{-16})^{3}
a
=
(
3
−
16
)
3
\newline
Answer:
a
=
a=
a
=
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Fibonnaci leads to
\newline
−
3
−
x
3
=
1
\sqrt[3]{-3-x}=1
3
−
3
−
x
=
1
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Give the value for each. Round to the nearest
100
100
100
th if necessary.
\newline
(
−
8
)
3
3
\sqrt[3]{(-8)^{3}}
3
(
−
8
)
3
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Give the value for each. Round to the nearest
100
100
100
th if necessary.
\newline
8
216
3
\sqrt[3]{\frac{8}{216}}
3
216
8
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Give the value for each. Round to the nearest
100
100
100
th if necessary.
\newline
64
729
3
\sqrt[3]{\frac{64}{729}}
3
729
64
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Give the value for each. Round to the nearest
100
100
100
th if necessary.
\newline
16
54
3
\sqrt[3]{\frac{16}{54}}
3
54
16
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Find each square root. Where necessary, round to the nearest
100
100
100
th:
\newline
32
50
\sqrt{\frac{32}{50}}
50
32
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Find each square root. Where necessary, round to the nearest
100
100
100
th:
\newline
4
40
\sqrt{\frac{4}{40}}
40
4
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Find each square root. Where necessary, round to the nearest
100
100
100
th:
\newline
2
25
\sqrt{\frac{2}{25}}
25
2
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Find each square root. Where necessary, round to the nearest
100
100
100
th:
\newline
2
72
\sqrt{\frac{2}{72}}
72
2
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x
6
=
2
3
\frac{x}{6}=\frac{2}{3}
6
x
=
3
2
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1
2
3
...
5
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