1.
Find (3
a
+ 4
b
)
2
A.
9
a
2
+ 24
ab
+ 16
b
2
B.
3
a
2
+ 24
ab
+ 4
b
2
C.
9
a
2
+ 16
b
2
D.
9
a
2
+ 12
ab
+ 16
b
2
Hint
2.
State the excluded values of
a
and
b
in the expression
.
A.
B.
C.
D.
Hint
3.
Simplify
.
A.
B.
C.
D.
Hint
4.
Express
in simplest form.
A.
B.
C.
2
D.
Hint
5.
Find
.
A.
B.
C.
D.
Hint
6.
Start with a square with side length. Create a large rectangle by adding two more squares of the same size, and remove a strip with a width of 1. What is the area of the new rectangle?
A.
x
(3
x
– 1) = 3
x
2
–
x
B.
x
(
x
– 1) =
x
2
–
x
C.
x
(3
x
+ 1) = 3
x
2
+
x
D.
x
(
x
+ 3) =
x
2
+ 3
x
Hint
7.
Use the distributive property to expand the expression.4
a
(2 + 7
a
)
A.
8 + 28
a
2
B.
8
a
+ 28
a
2
C.
8
a
+
a
2
D.
6
a
+ 28
a
2
Hint
8.
Multiply the pair of binomials.(
y
+ 2)(
y
– 6)
A.
y
2
– 4
y
– 12
B.
y
2
+ 4
y
+ 12
C.
y
2
– 4
y
+ 12
D.
y
2
+ 4
y
– 12
Hint
9.
Multiply the pair of binomials.(4
z
– 2)(4
z
– 1)
A.
16
z
2
– 12
z
+ 2
B.
16
z
2
– 2
C.
16
z
2
– 12
z
– 2
D.
16
z
2
+ 12
z
– 2
Hint
10.
Use the difference of two squares to find the product.
A.
(60 + 1)(60 – 1) = 3,600 – 1 = 3,599
B.
–(60 + 1)(60 + 1) = –3,600 – 120 – 1 =– 3,721
C.
(60 + 1)(60 + 1) = 3,600 + 120 + 1 = 3,721
D.
–(60 + 1)(60 – 1) = –3,600 + 1 = –3,599
Hint