1.
Simplify (7
a
4
b
) (8
a
7
b
6
).
A.
15
a
11
b
7
B.
56
a
11
b
7
C.
15
a
28
b
6
D.
56
a
28
b
6
Hint
2.
Simplify (4
x
2
y
) (2
x
y
2
z
3
)
3
.
A.
24
x
5
y
7
z
9
B.
32
x
5
y
7
z
9
C.
32
x
6
y
6
z
9
D.
8
x
5
y
7
z
9
Hint
3.
Arrange the terms of 6
x
4
y
2
– 4
x
2
y
+ 2
xy
3
+ 8 so that the powers of
y
are in ascending order.
A.
6
x
4
y
2
- 4
x
2
y
+ 2
xy
3
+8
B.
8 – 4
x
2
y
+ 6
x
4
y
2
+ 2
xy
3
C.
2
xy
3
+ 6
x
4
y
2
- 4
x
2
y
+ 8
D.
8 + 2
xy
3
- 4
x
2
y
+ 6
x
4
y
2
Hint
4.
Find the sum (4
xy
2
– 3
x
2
y
– 5
xy
– 6) + (-5
xy
2
– 2
xy
+ 3).
A.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
B.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
C.
4
xy
2
– 7
xy
– 3
D.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
Hint
5.
Solve 5(4
x
– 3) = 6(2
x
+ 5) – 5.
A.
B.
x
= 5
C.
D.
Hint
6.
Write an expression for the area of the rectangle shown below.
A.
9
x
2
y
4
+ 12
x
4
y
3
B.
12
xy
2
+ 4
x
3
y
C.
6
xy
2
+ 4
x
3
y
D.
6
xy
2
+ 7
x
3
y
Hint
7.
Find the GCF of 14
a
2
b
4
c
and 56
ab
2
c
2
A.
14
a
2
b
4
c
2
B.
14
ab
2
c
C.
56
ab
2
c
D.
56
a
2
b
2
c
2
Hint
8.
Find
.
A.
B.
C.
D.
Hint
9.
Write a polynomial to represent the area of a square with a side
x
minus the area of a triangle with a base 2
x
and a height of 5.
A.
x
2
– 10
x
B.
x
2
– 5
x
C.
x
2
– 2
x
+ 5
D.
4
x
Hint
10.
Anthony and Sanford each throw a football. The height of Anthony's throw can represented by the equation
A
= –10
x
2
+ 15
x
+ 22, where
A
is height and
x
is the time in seconds. The height of Sanford's throw can represented by the equation
S
= –9
x
2
+ 14
x
+ 23. At time
x
, what is the combined height of the throws?
A.
x
2
–
x
+ 1
B.
–
x
2
+
x
– 1
C.
–19
x
2
+ 29
x
+ 45
D.
19
x
2
+ 29
x
+ 45
Hint
11.
Find
.
A.
3
x
–
B.
3
x
– 2
C.
12
x
– 10
D.
48
x
3
– 40
x
2
Hint
12.
Factor
A.
B.
C.
D.
Hint
13.
Which sketch represents
A.
B.
C.
D.
Hint
14.
Which sketch represents
A.
B.
C.
D.
Hint