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Math Problems
Algebra 1
Simplify exponential expressions using the multiplication and division rules
Simplify. Express your answer using positive exponents.
\newline
(
7
z
7
)
(
9
z
2
)
(
5
z
4
)
(7z^7)(9z^2)(5z^4)
(
7
z
7
)
(
9
z
2
)
(
5
z
4
)
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Simplify. Express your answer using positive exponents.
\newline
(
8
t
)
(
5
t
)
(
5
t
)
(8t)(5t)(5t)
(
8
t
)
(
5
t
)
(
5
t
)
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Simplify. Express your answer using positive exponents.
\newline
(
10
n
)
(
6
n
)
(
9
n
4
)
(10n)(6n)(9n^4)
(
10
n
)
(
6
n
)
(
9
n
4
)
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Solve an equation, inequality or a system.
\newline
Example:
2
x
−
1
=
y
,
2
y
+
3
=
x
2 x-1=y, 2 y+3=x
2
x
−
1
=
y
,
2
y
+
3
=
x
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Which of the following is a natural number?
\newline
Choices:
\newline
(A)
−
13
4
-\frac{13}{4}
−
4
13
\newline
(B)
7
7
7
\newline
(C)
−
1
-1
−
1
\newline
(D)
6
7
\frac{6}{7}
7
6
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Which of the following are irrational numbers?
\newline
Multi-select Choices:
\newline
(A)
5
5
5
\newline
(B)
2
2
2
\newline
(C)
6
6
6
\newline
(D)
5
5
5
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Which of the following are irrational numbers?
\newline
Multi-select Choices:
\newline
(A)
7
7
7
\newline
(B)
2
2
2
\newline
(C)
7
\sqrt{7}
7
\newline
(D)
0
0
0
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What is the area of the region between the graphs of
f
(
x
)
=
4
x
f(x)=\frac{4}{x}
f
(
x
)
=
x
4
,
g
(
x
)
=
4
g(x)=4
g
(
x
)
=
4
, and
x
=
4
x=4
x
=
4
?
\newline
Choose
1
1
1
answer:
\newline
(A)
24
−
4
ln
(
4
)
24-4 \ln (4)
24
−
4
ln
(
4
)
\newline
(B)
12
−
4
ln
(
3
)
12-4 \ln (3)
12
−
4
ln
(
3
)
\newline
(C)
12
−
4
ln
(
4
)
12-4 \ln (4)
12
−
4
ln
(
4
)
\newline
(D)
24
−
4
ln
(
3
)
24-4 \ln (3)
24
−
4
ln
(
3
)
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Simplify. Express your answer using positive exponents.
\newline
(
2
v
3
)
(
4
v
)
(
5
v
)
(2v^3)(4v)(5v)
(
2
v
3
)
(
4
v
)
(
5
v
)
\newline
______
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