1.
Find (3
a
- 1)(5
a
+ 6).
A.
15
a
+ 13
a
-6
B.
15
a
2
- 5
a
- 6
C.
15
a
2
+ 13
a
- 6
D.
15
a
2
+ 13
a
+ 6
Hint
2.
Find the volume of the rectangular solid shown below.
A.
24
a
4
b
8
B.
24
a
2
b
10
C.
9
a
4
b
8
D.
24
a
2
b
7
Hint
3.
Find the difference (-3
x
3
– 7
x
2
+ 5
x
– 4) – (6
x
2
– 8).
A.
–3
x
3
–
x
2
+ 5
x
- 12
B.
-11
x
8
+ 4
C.
–3
x
3
– 13
x
2
+ 5
x
- 12
D.
–3
x
3
– 13
x
2
+ 5
x
+ 4
Hint
4.
Find –8
x
3
y
2
(3
xy
4
– 2
x
5
–
y
).
A.
–5
x
4
y
6
- 10
x
8
y
2
- 9
x
3
y
3
B.
–24
x
4
y
6
+ 16
x
8
y
2
+ 8
x
3
y
3
C.
–24
x
4
y
6
- 16
x
8
y
2
+ 8
x
3
y
3
D.
–24
x
4
y
6
+ 16
x
15
y
2
+ 8
x
3
y
3
Hint
5.
Factor 6
a
3
b
5
– 15
a
2
b
.
A.
ab
(6
a
2
b
4
- 15
a
)
B.
3
a
3
b
(2
ab
2
- 5)
C.
3(2
a
3
b
5
- 5
a
2
b
)
D.
3
a
2
b
(2
ab
4
- 5)
Hint
6.
Suppose that the base of a triangle is 3
x
y
and its height is also 3
x
y
. What is its area, expressed as a monomial?
A.
B.
C.
6
x
2
y
2
D.
x
4
Hint
7.
Simplify
.
A.
x
2
y
2
B.
x
2
y
C.
x
3
y
D.
x
3
y
2
Hint
8.
Find (4
x
2
– 2
x
– 3) + (–
x
2
+ 7
x
– 4).
A.
5
x
2
+ 5
x
– 7
B.
3
x
2
+ 5
x
– 7
C.
5
x
2
+ 5
x
+ 1
D.
3
x
2
+ 5
x
+ 1
Hint
9.
Simplify 5(2
k
2
– 3
k
) – 6
k
(–
k
2
+
k
– 7).
A.
–6
k
3
+ 4
k
2
+ 27
k
B.
6
k
3
+ 4
k
2
– 5
k
C.
6
k
3
+ 4
k
2
+ 27
k
D.
–6
k
3
+ 4
k
2
– 5
k
Hint
10.
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
11.
Find
.
A.
3
x
–
B.
48
x
3
– 40
x
2
C.
12
x
– 10
D.
3
x
– 2
Hint
12.
Work backwards to complete
A.
B.
C.
D.
Hint
13.
Maria's age multiplied by 3, decreased by 17 and then doubled is 68. How old is Maria?
A.
15
B.
22
C.
17
D.
14
Hint
14.
Factor
A.
B.
C.
D.
Hint
15.
Factor
A.
B.
C.
D.
Hint
16.
Factor
A.
B.
C.
D.
Hint