|
2.
|
Factor completely.
b
2
–
ab
– 6
a
2
|
|
|
-
(
b
– 6
a
)(
b
+
a
) B) (
b
– 3
a
)(
b
+ 2
a
) C) (
b
+ 6
a
)(
b
–
a
) D) (
b
+ 3
a
)(
b
– 2
a
)
|
|
3.
|
Factor completely. 5
a
2
– 125
|
|
|
-
5(
a
– 5)
2
B) 5
a
(
a
– 25) C) (5
a
– 1)(
a
– 125) D) 5(
a
+ 5)(
a
– 5)
|
|
4.
|
Determine whether
is rational or irrational.
|
|
|
-
Irrational B) Rational
|
|
5.
|
Use a calculator to approximate
to the nearest hundredth.
|
|
|
-
6.71 B) 6.83 C) 6.48 D) 6.33
|
|
6.
|
Find the axis of symmetry.
y
=
x
2
–
x
+ 10
|
|
|
-
x
= –1 B)
x
= 1 C)
x
=
D)
x
=
|
|
7.
|
Factor completely.
x
2
– 3
x
– 18
|
|
|
-
(
x
+ 3)(
x
+ 6) B) (
x
+ 1)(
x
– 18) C) (
x
+ 3)(
x
– 6) D) (
x
– 3)(
x
+ 6)
|
|
8.
|
Divide.
|
|
|
-
x
2
+
x
+ 4 B)
x
2
+
x
– 4 C)
x
2
–
x
+ 4 D)
x
2
–
x
– 4
|
|
9.
|
Factor completely. 12
x
3
– 3
xy
2
|
-
|
3
x
(2
x
+
y
)(2
x
–
y
)
|
C)
|
3
x
(4
x
–
y
)(
x
+
y
)
|
|
B)
|
3
x
(2
x
–
y
)
2
|
D)
|
12
x
(
x
– 3
y
)(
x
–
y)
|
|
10.
|
What is the degree of the polynomial
x
12
– 5
x
4
?
|
|
|
-
4 B) 5 C) 12 D) –5
|
|
11.
|
The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 52 in., find the width of the rectangle.
|
|
|
-
9 in. B) 10 in. C) 8 in. D) 7 in.
|
|
13.
|
Factor completely. 21
x
2
+ 33
x
+ 12
|
|
14.
|
Factor completely. 10
x
2
+ 10
x
– 200
|
|
15.
|
Identify the axis of symmetry, create a suitable table of values, then sketch the graph (including the axis of symmetry).
y
= –
x
2
+ 3
x
– 3
|
|
16.
|
Solve.
x
2
– 8
x
– 9 = 0
|
|
17.
|
Solve.
|
|
18.
|
Which two expressions are equivalent?
|
|
19.
|
Simplify. Assume all variables represent positive numbers.
|
|
|
-
B)
C)
D)
|
|
20.
|
Solve by completing the square.
x
2
= 5
x
+ 2
|
|
|
-
B)
C)
D)
|
|
21.
|
Multiply. (5
a
– 3
b
)
2
|
|
|
-
25
a
2
– 9
b
2
B) 25
a
2
+ 9
b
2
C) 25
a
2
– 30
ab
+ 9
b
2
D) 25
a
2
– 30
ab
– 9
b
2
|
|
22.
|
Use a calculator to approximate
to the nearest hundredth.
|
|
|
-
8.37 B) 8.72 C) 8.22 D) 8.60
|
|
23.
|
The demand and supply equations for a certain item are given by
D =
–5
p
+ 40
S =
–
p
2
+ 30
p
– 8
Find the equilibrium price.
|
|
|
-
$1.57 B) $1.29 C) $1.71 D) $1.43
|
|
24.
|
Is the following binomial a difference of squares?
9
a
2
– 8
b
2
|
|
|
-
No B) Yes
|
|
25.
|
Divide.
|
-
|
x
3
– 3
x
2
– 10
x
+ 30 +
|
C)
|
x
3
– 3
x
2
+ 10
x
– 30 +
|
|
B)
|
x
3
– 3
x
2
+ 10
x
+ 30 +
|
D)
|
x
3
– 3
x
2
– 10
x
– 30 +
|
|
26.
|
Write in simplest form.
|
|
|
-
B)
C)
D)
|
|
27.
|
Factor completely. 5
a
2
– 125
|
|
|
-
5(
a
– 5)
2
B) (5
a
– 1)(
a
– 125) C) 5(
a
+ 5)(
a
– 5) D) 5
a
(
a
– 25)
|
|
28.
|
Give the degree. 5
x
|
|
|
-
5 B) 0 C) 1
|
|
30.
|
Simplify.
|
|
31.
|
Write in simplest form.
|
|
32.
|
Add. Express your answer in simplest form.
|
|
33.
|
Solve. (
x
+ 4)
2
= 25
|
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