1.
Find (4
y
- 5)(3
y
- 7).
A.
12
y
2
– 13
y
+ 35
B.
12
y
2
– 43
y
+ 35
C.
12
y
2
– 43
y
- 35
D.
12
y
2
+ 35
Hint
2.
Find (3
a
+ 4
b
)
2
A.
3
a
2
+ 24
ab
+ 4
b
2
B.
9
a
2
+ 12
ab
+ 16
b
2
C.
9
a
2
+ 24
ab
+ 16
b
2
D.
9
a
2
+ 16
b
2
Hint
3.
Find (5
t
2
- 2
w
)
2
A.
25
t
4
+ 4
w
2
B.
25
t
4
– 10
t
2
w
+ 4
w
2
C.
25
t
4
– 4
w
2
D.
25
t
4
– 20
t
2
w
+ 4
w
2
Hint
4.
Simplify 2
x
2
+ 5
x
2
+ 7
x
.
A.
14
x
B.
2
x
2
+ 12
x
C.
14
x
2
D.
7
x
2
+ 7
x
Hint
5.
Simplify the expression 2
a
+ 7
b
+ 12
a
+ 3
b
and then evaluate if
a
= 2 and
b
= -2.
A.
14
a
+ 8
b
; 12
B.
9
a
+ 15
b
; -12
C.
10
a
+ 14
b
; -8
D.
14
a
+ 10
b
; 8
Hint
6.
Determine the product (2
x
+ 1)(
x
- 4).
A.
2
x
2
- 2
x
- 4
B.
2
x
2
- 7
x
- 4
C.
2
x
2
+ 8
x
- 4
D.
2
x
2
+ 6
x
- 4
Hint
7.
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
+ 3) =
x
2
+ 3
x
C.
x
(3
x
+ 1) = 3
x
2
+
x
D.
x
(
x
– 1) =
x
2
–
x
Hint
8.
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
9.
Multiply the pair of binomials.(4
z
– 2)(4
z
– 1)
A.
16
z
2
– 12
z
– 2
B.
16
z
2
– 12
z
+ 2
C.
16
z
2
+ 12
z
– 2
D.
16
z
2
– 2
Hint
10.
Expand the expression.(6
p
– 7)
2
A.
36
p
2
– 49
B.
36
p
2
+ 84
p
– 49
C.
36
p
2
– 84
p
+ 49
D.
36
p
2
+ 49
Hint