1.
Factor 54
x
3
y
2
A.
2 · 3
3
·
x
·
x
·
y
·
y
·
y
B.
2 · 3
3
·
x
·
x
·
x
·
y
·
y
C.
2
3
· 3 ·
x
·
x
·
x
·
y
·
y
D.
2 · 27 ·
x
·
x
·
x
·
y
·
y
Hint
2.
An expression for the area of a rectangle is
xy
– 2
x
+ 3
y
– 6. Express this area in factored form.
A.
(
xy
– 2
x
)( 3
y
– 6)
B.
x
(
y
– 2) + 3(
y
– 2)
C.
(
x
+ 3)(
y
– 2)
D.
(
x
– 2)(
y
+ 3)
Hint
3.
Factor
A.
B.
C.
prime
D.
Hint
4.
Solve 5
x
2
– 10
x
= 0.
A.
x
= 0
B.
x
= 0 or
x
= -2
C.
x
= 2
D.
x
= 0 or
x
= 2
Hint
5.
Solve 4
y
2
– 25 = 0.
A.
B.
or
C.
D.
Hint
6.
Is 79 prime or composite? If it is composite, what is its factorization?
A.
composite, 3 × 23
B.
composite, 13 × 6
C.
prime
D.
composite, 7 × 11
Hint
7.
Factor
x
2
+ 6
x
– 7.
A.
(
x
+ 1)(
x
– 7)
B.
(
x
– 1)(
x
+ 7)
C.
(
x
– 3)(
x
– 3)
D.
(
x
+ 3)(
x
+ 3)
Hint
8.
Joanne has a garden that is 9 feet long by 6 feet wide. She wants to increase the dimensions of the garden by the same amount, and have the area of the new garden be 5 times the area of the present garden. What should the new dimensions be?
A.
length = 30 ft
width = 24ft
B.
length = 24 ft
width = 30 ft
C.
length = 18 ft
wideth = 15ft
D.
length = 15 ft
width = 18 ft
Hint
9.
Factor 3
x
2
– 8
x
+ 3.
A.
(3
x
– 5)(
x
– 1)
B.
(3
x
– 1)(
x
– 3)
C.
not factorable
D.
(
x
– 1)(3
x
– 3)
Hint
10.
Solve –3
x
2
+ 5
x
+ 12 = 0.
A.
B.
C.
D.
Hint
11.
Solve the equation
x
2
–
x
+
= 0.
A.
B.
C.
D.
Hint
12.
Solve the following: (
q
+ 2)
2
= 25.
A.
{–7, 3}
B.
{–7}
C.
{3}
D.
{–3, 3}
Hint