1.
Solve
a
2
– 12
a
= -27.
A.
a
= 3
B.
a
= -27 or
a
= -15
C.
a
= 9
D.
a
= 3 or
a
= 9
Hint
2.
Find the value of
b
that makes
x
2
+
bx
+ 36 a perfect square.
A.
6
B.
12
C.
324
D.
-12, 12
Hint
3.
Solve the equation by backtracking.
A.
y
=
B.
y
=
C.
y
= 1
D.
y
= 3
Hint
4.
Give the approximate solutions of this equation.(2
z
– 3)
2
– 31 = 33
A.
z
= 2.5 and
z
= 5.5
B.
z
= –2.5 and
z
= –5.5
C.
z
= 2.5 and
z
= –5.5
D.
z
= –2.5 and
z
= 5.5
Hint
5.
Factor the quadratic expression.
x
2
+ 2
x
– 24
A.
(
x
– 6)(
x
– 4)
B.
(
x
+ 6)(
x
+ 4)
C.
(
x
– 6)(
x
+ 4)
D.
(
x
+ 6)(
x
– 4)
Hint
6.
Find the solutions of the equation.3(
x
+ 1)
2
– 4 = 23
A.
x
= 4 and
x
= –2
B.
x
= 4 and
x
= –4
C.
x
= 2 and
x
= –2
D.
x
= 2 and
x
= –4
Hint
7.
Prospect High School decided to add a new parking lot for its increased student population. They just bought 15,000 ft
2
of land next to the school. The only requirement of the new parking lot is that the length should be 100 feet more than the width. What is the quadratic equation representing the school's requirements?
A.
x
2
+ 100
x
+ 15,000 = 0
B.
x
2
+ 100
x
– 15,000 = 0
C.
x
2
– 100
x
+ 15,000 = 0
D.
x
2
– 100
x
– 15,000 = 0
Hint
8.
In the quadratic formula, what does
b
2
– 4
ac
tell you.
A.
the places where a quadratic equation crosses the
x
-axis
B.
the vertex of a quadratic equation
C.
the number of solutions in a quadratic equation
D.
the solution(s) in a quadratic equation
Hint