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Math Problems
Algebra 1
Powers with decimal and fractional bases
Use the model to find the product.
\newline
1
5
×
1
5
=
\frac{1}{5} \times \frac{1}{5} =
5
1
×
5
1
=
‾
\underline{\hspace{1cm}}
/
‾
\underline{\hspace{1cm}}
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If
2
5
x
=
16
2
1
−
x
2^{5 x}=\frac{16}{2^{1-x}}
2
5
x
=
2
1
−
x
16
, find
x
x
x
.
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Simplify.
\newline
12
1
2
−
4
7
10
=
_
_
_
_
_
12 \frac{1}{2}-4 \frac{7}{10}= \_\_\_\_\_
12
2
1
−
4
10
7
=
_____
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2
3
x
2
=
4.
8
2
\frac{2}{3}x^2=4.8^2
3
2
x
2
=
4.
8
2
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Simplify. Write your answer using whole numbers and variables.
\newline
y
2
−
4
y
19
y
\frac{y^2 - 4y}{19y}
19
y
y
2
−
4
y
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Simplify. Write your answer using whole numbers and variables.
\newline
2
k
2
−
5
k
k
\frac{2k^2 - 5k}{k}
k
2
k
2
−
5
k
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Simplify. Write your answer using whole numbers and variables.
\newline
3
y
2
+
5
y
y
\frac{3y^2 + 5y}{y}
y
3
y
2
+
5
y
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Simplify. Write your answer using whole numbers and variables.
\newline
m
−
6
m
2
−
6
m
\frac{m - 6}{m^2 - 6m}
m
2
−
6
m
m
−
6
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In a certain Algebra
2
2
2
class of
24
24
24
students,
9
9
9
of them play basketball and
5
5
5
of them play baseball. There are
3
3
3
students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.01
)
3
=
(0.01)^3 =
(
0.01
)
3
=
_____
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.1
)
4
=
(0.1)^4 =
(
0.1
)
4
=
_____
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Determine the value of
y
y
y
, if
x
x
x
is
−
7
-7
−
7
.
\newline
y
=
21
x
+
10
y=\frac{21}{x+10}
y
=
x
+
10
21
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
4
4
4
.
\newline
y
=
33
x
−
7
y=\frac{33}{x-7}
y
=
x
−
7
33
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
−
8
-8
−
8
.
\newline
y
=
25
x
+
13
y=\frac{25}{x+13}
y
=
x
+
13
25
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
9
9
9
.
\newline
y
=
22
x
+
2
y=\frac{22}{x+2}
y
=
x
+
2
22
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
2
2
2
.
\newline
y
=
16
x
−
6
y=\frac{16}{x-6}
y
=
x
−
6
16
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
−
9
-9
−
9
.
\newline
y
=
24
x
−
3
y=\frac{24}{x-3}
y
=
x
−
3
24
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
4
4
4
.
\newline
y
=
21
x
−
7
y=\frac{21}{x-7}
y
=
x
−
7
21
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
3
3
3
.
\newline
y
=
18
x
−
5
y=\frac{18}{x-5}
y
=
x
−
5
18
\newline
Answer:
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Question
\newline
Find all vertical asymptotes of the following function.
\newline
f
(
x
)
=
x
−
4
3
x
−
3
f(x)=\frac{x-4}{3 x-3}
f
(
x
)
=
3
x
−
3
x
−
4
\newline
Answer Attempt
1
1
1
out of
3
3
3
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Evaluate. Write your answer as a whole number or as a simplified fraction.
\newline
4
7
4
3
=
□
\frac{4^{7}}{4^{3}}=\square
4
3
4
7
=
□
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Find the value of
x
x
x
in the equation below.
\newline
5
=
x
5
5=\frac{x}{5}
5
=
5
x
\newline
Answer:
x
=
x=
x
=
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Solve for
y
y
y
and simplify your answer.
\newline
3
=
3
5
y
3=\frac{3}{5} y
3
=
5
3
y
\newline
Answer:
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Find the value of
x
x
x
in the equation below.
\newline
x
4
=
8.1
\frac{x}{4}=8.1
4
x
=
8.1
\newline
Answer:
x
=
x=
x
=
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Find the value of
x
x
x
in the equation below.
\newline
6.3
=
x
5
6.3=\frac{x}{5}
6.3
=
5
x
\newline
Answer:
x
=
x=
x
=
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Find the value of
x
x
x
in the equation below.
\newline
8.4
=
x
2
8.4=\frac{x}{2}
8.4
=
2
x
\newline
Answer:
x
=
x=
x
=
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Find the value of
x
x
x
in the equation below.
\newline
5.7
=
x
8
5.7=\frac{x}{8}
5.7
=
8
x
\newline
Answer:
x
=
x=
x
=
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Find the value of
x
x
x
in the equation below.
\newline
2.6
=
x
10
2.6=\frac{x}{10}
2.6
=
10
x
\newline
Answer:
x
=
x=
x
=
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Find the value of
x
x
x
in the equation below.
\newline
2.3
=
x
2
2.3=\frac{x}{2}
2.3
=
2
x
\newline
Answer:
x
=
x=
x
=
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Use multiplication to expand the expression below. Then compute.
\newline
(
−
2
)
3
(-2)^{3}
(
−
2
)
3
\newline
Press the
×
\times
×
button or type the * symbol on your keyboard to represent multiplication.
\newline
Expanded form:
\newline
Answer:
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Convert the decimal below to a fraction in simplest form.
\newline
0
0
0
.
13
13
13
\newline
Answer:
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−
125
%
+
28
20
=
-125 \%+\frac{28}{20}=
−
125%
+
20
28
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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−
186
200
+
0.3
=
-\frac{186}{200}+0.3=
−
200
186
+
0.3
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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−
6
20
+
1.5
=
-\frac{6}{20}+1.5=
−
20
6
+
1.5
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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−
67
50
+
1.5
−
100
%
=
-\frac{67}{50}+1.5-100 \%=
−
50
67
+
1.5
−
100%
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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−
13
20
−
7
5
=
-\frac{13}{20}-\frac{7}{5}=
−
20
13
−
5
7
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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−
1.75
−
22
20
=
-1.75-\frac{22}{20}=
−
1.75
−
20
22
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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−
0.2
+
7
10
=
-0.2+\frac{7}{10}=
−
0.2
+
10
7
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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7
4
−
1.76
=
\frac{7}{4}-1.76=
4
7
−
1.76
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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−
185
%
−
1.7
=
-185 \%-1.7=
−
185%
−
1.7
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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−
54
50
−
40
100
+
1.65
=
-\frac{54}{50}-\frac{40}{100}+1.65=
−
50
54
−
100
40
+
1.65
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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0.2
−
4
10
−
1.625
=
0.2-\frac{4}{10}-1.625=
0.2
−
10
4
−
1.625
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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−
1.125
+
24
20
=
-1.125+\frac{24}{20}=
−
1.125
+
20
24
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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0.625
+
4
2
=
0.625+\frac{4}{2}=
0.625
+
2
4
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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−
0.7
+
2
8
=
-0.7+\frac{2}{8}=
−
0.7
+
8
2
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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1.3
+
6
50
=
1.3+\frac{6}{50}=
1.3
+
50
6
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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79
40
−
162.5
%
=
\frac{79}{40}-162.5 \%=
40
79
−
162.5%
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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100
%
−
9
10
=
100 \%-\frac{9}{10}=
100%
−
10
9
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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−
45
40
+
1.875
=
-\frac{45}{40}+1.875=
−
40
45
+
1.875
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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−
1.2
−
29
20
=
-1.2-\frac{29}{20}=
−
1.2
−
20
29
=
\newline
Enter the answer as an exact decimal or simplified fraction.
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1
2
3
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