1.
Simplify (7
a
4
b
) (8
a
7
b
6
).
A.
15
a
28
b
6
B.
56
a
11
b
7
C.
56
a
28
b
6
D.
15
a
11
b
7
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
6
y
6
z
9
C.
8
x
5
y
7
z
9
D.
32
x
5
y
7
z
9
Hint
3.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
4.
The area of the rectangle shown below is 4
x
3
y
2
, and its base
b
is 2
x
5
y
. Find the height,
h
.
A.
2
x
2
y
B.
C.
D.
8
x
8
y
3
Hint
5.
Find the difference (-7
x
4
y
2
– 3
x
2
y
+ 2
xy
2
– 5) – (4
x
4
y
2
–
xy
2
– 5).
A.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
B.
-11
x
4
y
2
- 3
x
2
y
+
xy
2
- 10
C.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
- 10
D.
-3
x
4
y
2
- 4
xy
2
+ 2
xy
2
- 10
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.
6
xy
2
+ 4
x
3
y
C.
12
xy
2
+ 4
x
3
y
D.
6
xy
2
+ 7
x
3
y
Hint
7.
In a tessellation, the sum of the measures of the angles of the polygons surrounding a point (at a vertex) is________.
A.
180
B.
90
C.
720
D.
360
Hint
8.
Factor 4
y
2
– 9.
A.
(2
y
+ 3)(2
y
+ 3)
B.
prime
C.
(2
y
+ 3)(2
y
– 3)
D.
(2
y
– 3)(2
y
– 3)
Hint
9.
Find (–2
x
2
+ 5
x
– 1) – (3
x
2
– 4
x
– 6).
A.
–5
x
2
+ 9
x
– 7
B.
–5
x
2
+
x
– 7
C.
–5
x
2
+
x
+ 5
D.
–5
x
2
+ 9
x
+ 5
Hint
10.
Multiply 4
x
2
(–
x
2
– 3
x
+ 2).
A.
–4
x
4
– 12
x
3
+ 8
x
2
B.
–4
x
2
– 12
x
+ 8
C.
–4
x
2
– 7
x
+ 8
D.
–4
x
4
– 7
x
3
+ 8
x
2
Hint
11.
Find the product (2
x
+ 3)(3
x
– 2).
A.
6
x
2
+ 9
x
– 6
B.
6
x
2
+ 5
x
– 5
C.
6
x
2
+ 5
x
– 6
D.
6
x
2
+ 9
x
– 5
Hint
12.
What is the factored form of the polynomial 23
x
2
– 69
x
?
A.
23
x
(
x
– 3)
B.
23
x
(
x
+ 3)
C.
23
x
(
x
2
+ 3)
D.
23
x
(
x
2
– 3)
Hint
13.
Work backwards to complete
A.
B.
C.
D.
Hint
14.
A number increased by 12, divided by 3 and then decreased by 6 is 19. What is the original number?
A.
75
B.
27
C.
87
D.
63
Hint
15.
Factor
A.
B.
C.
D.
Hint
16.
Factor
A.
B.
C.
D.
Hint