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Let’s check out your problem:
Simplify. Write your answer using
whole numbers
and variables.
\newline
c
2
−
2
c
c
\frac{c^2 - 2c}{c}
c
c
2
−
2
c
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Math Problems
Algebra 1
Simplify radical expressions: mixed review
Full solution
Q.
Simplify. Write your answer using whole numbers and variables.
\newline
c
2
−
2
c
c
\frac{c^2 - 2c}{c}
c
c
2
−
2
c
Divide
c
2
c^2
c
2
by
c
c
c
:
Simplify the expression
c
2
−
2
c
c
\frac{c^2 - 2c}{c}
c
c
2
−
2
c
by dividing each term in the numerator by the denominator.
\newline
We have the expression
c
2
c
−
2
c
c
\frac{c^2}{c} - \frac{2c}{c}
c
c
2
−
c
2
c
.
Divide
−
2
c
-2c
−
2
c
by
c
c
c
:
Divide
c
2
c^2
c
2
by
c
c
c
to get
c
c
c
.
\newline
c
2
c
=
c
\frac{c^2}{c} = c
c
c
2
=
c
.
Combine results:
Divide
−
2
c
-2c
−
2
c
by
c
c
c
to get
−
2
-2
−
2
.
\newline
−
2
c
/
c
=
−
2
-2c/c = -2
−
2
c
/
c
=
−
2
.
Final simplified expression:
Combine the results from Step
2
2
2
and Step
3
3
3
.
\newline
The simplified expression is
c
−
2
c - 2
c
−
2
.
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\newline
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\newline
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\newline
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Question
According to Newton's Second Law of Motion, the sum of the forces that act on an object with a mass
m
m
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a
a
a
is equal to
m
⋅
a
m \cdot a
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a
. An object whose mass is
80
80
80
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20
20
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kg
⋅
m
s
2
\frac{\text{kg} \cdot \text{m}}{\text{s}^2}
s
2
kg
⋅
m
)?
\newline
Choose
1
1
1
answer:
\newline
(A)
80
⋅
20
80 \cdot 20
80
⋅
20
\newline
(B)
80
⋅
1000
⋅
20
80 \cdot 1000 \cdot 20
80
⋅
1000
⋅
20
\newline
(C)
80
1000
⋅
20
\frac{80}{1000} \cdot 20
1000
80
⋅
20
\newline
(D)
80
6
0
2
⋅
20
\frac{80}{60^2} \cdot 20
6
0
2
80
⋅
20
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Posted 8 months ago
Question
Simplify.
\newline
Multiply and remove all perfect squares from inside the square roots. Assume
\newline
b
b
b
is positive.
\newline
2
8
b
3
⋅
9
18
b
=
2\sqrt{8b^{3}} \cdot 9\sqrt{18b} =
2
8
b
3
⋅
9
18
b
=
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Posted 10 months ago
Question
Roselyn is driving to visit her family, who live
150
150
150
kilometers away. Her average speed is
60
60
60
kilometers per hour. The car's tank has
20
20
20
liters of fuel at the beginning of the drive, and its fuel efficiency is
6
6
6
kilometers per liter. Fuel costs
0.60
0.60
0.60
dollars per liter.
\newline
How long can Roselyn drive before she runs out of fuel?
\newline
hours
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Posted 10 months ago
Question
Astrid is in charge of building a new fleet of ships. Each ship requires
40
40
40
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300
300
300
sailors. She receives a delivery of
4
4
4
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100
100
100
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2100
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2100
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\newline
How much wood does Astrid need to accommodate
2100
2100
2100
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\newline
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Question
Lily's car has a fuel efficiency of
8
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8 \text{ liters}
8
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100
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100 \text{ kilometers}
100
kilometers
.
\newline
What is the fuel efficiency of Lily's car in
kilometers
\text{kilometers}
kilometers
per
liter
\text{liter}
liter
?
\newline
km
L
\frac{\text{km}}{\text{L}}
L
km
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Posted 10 months ago
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