Name: ____________________________________________
1)
The expression (
y
- 2)2 is equivalent to
A)
y
2
- 4
B)
y
2
- 4
y
- 4
C)
y
2
+ 4
y
+ 4
D)
y
2
- 4
y
+ 4
2)
Simplify: (5
x
2
- 2
x
+ 5) - (2
x
2
- 4
x
- 3)
3)
Simplify: 6
xy
+ 3
xy
- (-2
xy
)
4)
A side of a cube measures 5
x
+ 4. Express the area
of one face of the cube as a trinomial.
A) 25
x
2
+ 16
B) 25
x
2
+ 40
x
+ 16
C) 25
x
2
+ 20
x
+ 16
D) 10
x
2
+ 18
x
+ 8
5)
If (
x
- 3) and (
x
+ 7) are the factors of the trinomial
x
2
+
ax
- 21, what is the value of
a
?
A) -4
B) 4
C) 7
D) -3
6)
Simplify: 8 + [(7 + 2
x
) + 4]
7)
What factor do the following trinomials have in
common?
x
2
+ 10
x
+ 24
x
2
- 3
x
- 28
A)
x
- 4
B)
x
+ 6
C)
x
+ 2
D)
x
+ 4
8)
An equation whose roots are -3 and 2 is
A)
x
2
-
x
+ 6 = 0
B)
x
2
+
x
- 6 = 0
C)
x
2
+
x
+ 6 = 0
D)
x
2
+ 5
x
- 6 = 0
9)
Find the solution set: 4
x
2
- 4
x
= 24
10) Simplify: (2
x
-
y
)(
x
- 2
y
)
11) The trinomial 4
x
2
- 12
x
+ 9 represents the area of
a square. Express the measure of a side in terms
of
x
.
A) 2
x
- 3
B) 2
x
+ 3
C) 2(
x
+ 3)
D) 4
x
+ 3
12) If (2
x
+ 7) and (
x
+ 2) are the factors of
2
x
2
+ 11
x
+
k
, then the value of
k
is
A) 3
B) 14
C) 11
D) 9
13) What are the factors of 3
x
2
+ 7
x
- 20?
A) (3
x
+ 4)(
x
- 5)
B) (3
x
- 4)(
x
+ 5)
C) (3
x
+ 5)(
x
- 4)
D) (3
x
- 5)(
x
+ 4)
14) Simplify: 3
x
3
y
- 5
x
2
y
2
+ 5
x
3
y
15) Simplify: (
x
2
- 3
x
+ 7) + (
x
- 2)
16) Simplify: (5
y
2
+ 3
y
- 8) + (2
y
2
- 7
y
+ 9)
17) Simplify: (4
x
2
- 3) - (-2
x
2)
18) Simplify: (-7
y
+ 3) + (2
y
- 4)
19) If (2
x
- 3) and (
x
+ 5) are multiplied to form the
binomial
ax
2
+
bx
+
c
, what is the value of
b
?
A) 4
B) 7
C) 2
D) -15
20) Simplify: (4
x
- 3)(
x
- 2)
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