1.
The degree of the polynomial -4
b
2
c
2
+ 5
ac
5
-
abc
is ______.
A.
13
B.
3
C.
6
D.
4
Hint
2.
Arrange the terms of the polynomial -2
x
+ 3
x
3
- 5 + 6
x
2
so that the powers of
x
are in descending order.
A.
3
x
3
+ 6
x
2
- 2
x
- 5
B.
5 - 2
x
+ 6
x
2
+ 3
x
3
C.
-5 - 2
x
+ 6
x
2
+ 3
x
3
D.
-2
x
+ 3
x
3
+ 6
x
2
- 5
Hint
3.
Find the difference.
A.
7
x
3
- 11
x
2
- 5
x
+ 17
B.
7
x
3
- 11
x
2
+ 5
x
+ 17
C.
7
x
3
- 11
x
2
- 5
x
- 1
D.
7
x
3
- 11
x
2
+ 5
x
- 1
Hint
4.
Refer to the diagram below. Find the area of the shaded region in simplest form.
A.
3
x
2
+ 42
x
B.
3
x
2
+ 7
C.
3
x
2
+ 7
x
D.
3
x
2
+ 42
Hint
5.
Find the product of
x, x
– 2, and
x
+ 2.
A.
x
3
- 4
x
B.
x
3
- 4
C.
x
3
+ 4
x
D.
x
3
+ 4
x
2
+ 4
x
Hint
6.
Rewriting the expression (
y
+ 5) – (4
y
+ 1) as (1 – 4)
y
+ (5 – 1) shows of grouping the like terms and the use of the _______.
A.
Distributive Property
B.
Associative Property of Addition
C.
Commutative Property of Multiplication
D.
Addition Property of Equality
Hint
7.
Solve the equation 3(
x
+ 2) = 5 – 5(2
x
– 8).
A.
x
= 3
B.
x
= -3.154
C.
x
= 1
D.
x
= -2.143
Hint
8.
Find the product (2
x
– 4
y
)(-7
x
+ 2
y
).
A.
-14
x
2
+ 32
x
y
– 8
y
2
B.
14
x
2
– 32
x
y
+ 8
y
2
C.
-5
x
– 2
y
D.
5
x
+ 2
y
Hint
9.
Find the volume of the box.
A.
(-8
a
3
– 18
a
2
b
+ 23
a
b
2
+ 15
b
3
) units
3
B.
(8
a
3
+ 18
a
2
b
– 23
a
b
2
– 15
b
3
) units
3
C.
(-7
a
+
b
) units
3
D.
(7
a
–
b
) units
3
Hint
10.
Which equation represents the square of a sum?
A.
(
a
+
b
)(
a
–
b
) =
a
2
+
b
2
B.
(
a
–
b
)
2
=
a
2
– 2
a
b
+
b
2
C.
(
a
+
b
)
2
=
a
2
+ 2
a
b
+
b
2
D.
(
a
+
b
)(
a
–
b
) =
a
2
–
b
2
Hint