COMPASS Preparation
Algebra
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Contents
Page 1
COMPASS Preparation-Algebra
Important Facts about the COMPASS
The Algebra Placement portion tests your current skill level in several areas:
Page 2
Addition and Subtraction of Expressions
Page 3
Multiplying Monomials
Page 4
Removing Parenthesis and Combining Similar Terms
Page 5
Evaluating Formulas (Substitution)
Page 6
Solving a Linear Equation
Page 7
Literal Equations
Page 8
Solving Systems of Equations by Addition
Page 9
Exponents
Page 10
Slopes and Graphing Lines
Page 11
Radicals
Page 12
Additional Resources
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Radicals
Simplify.
√(216xy
2
)
a.
6y√(16x)
b.
16y√(6x)
c.
6y√(6x)
d.
6√(6xy)
e.
6y√(3x)
√(16x
4
y
3
z)
a.
4yz√(xyz)
b.
4x
2
yz√(xyz)
c.
4xyz√(yz)
d.
16x
2
yz√(yz)
e.
4x
2
y√(yz)
√(96x
4
)
a.
4x
2
√8
b.
4x√6x
c.
2x
2
√6
d.
4x
2
√6
e.
4x
2
√5
-6√(288x)
a.
-72√(2x)
b.
-72√(x)
c.
-6√(144x)
d.
-72x√2
e.
-72√(2)
√(150p
3
qr
4
)
a.
-5r
2
p√(6pq)
b.
5r
2
p√(6pq)
c.
5r
2
p√(35pq)
d.
5rp√(6pqr)
e.
5r
2
√(6pq
3
)
√(448xy
3
z
2
)
a.
7yz√(8xy)
b.
8yz√(7xy)
c.
7y
2
z√(7xy)
d.
8yz√(8xyz)
e.
8y
2
z√(7xyz)
√(384x
2
y
2
)
a.
6xy√6y
b.
6xy√6
c.
6xy√8x
d.
8xy√8
e.
8xy√6
√(512x
4
y)
a.
16x√2yx
b.
216x
2
√2y
c.
16x
2
√2y
d.
6x
2
√12y
e.
-16x
2
√2y
3
√(189a
3
b
8
c
2
)
a.
3ab
3
√(7b
2
c
2
)
b.
7ab
3
√(3b
2
c
2
)
c.
3ab
2 3
√(7b
2
c
2
)
d.
3a
3
√(-7b
2
c
2
)
e.
-3ab
2 3
√(7b
3
c
2
)
-√5 + 3√20
a.
-5√8
b.
-5√17
c.
8√20
d.
5√5
e.
3√15
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