1.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
2.
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
– 7
xy
– 3
C.
4
xy
2
– 7
xy
– 3
D.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
Hint
3.
In a tessellation, the sum of the measures of the angles of the polygons surrounding a point (at a vertex) is________.
A.
720
B.
360
C.
180
D.
90
Hint
4.
Factor 54
x
3
y
2
A.
2 · 27 ·
x
·
x
·
x
·
y
·
y
B.
2 · 3
3
·
x
·
x
·
y
·
y
·
y
C.
2 · 3
3
·
x
·
x
·
x
·
y
·
y
D.
2
3
· 3 ·
x
·
x
·
x
·
y
·
y
Hint
5.
Factor
A.
prime
B.
C.
D.
Hint
6.
Factor
x
2
-
y
4
A.
(
x
-
y
2
)(
x
+
y
2
)
B.
(
x
+
y
2
)(
x
+
y
)(
x
–
y
)
C.
(
x
+
y
)(
x
–
y
)
D.
(
x
-
y
2
)(
x
-
y
2
)
Hint
7.
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.
6
x
2
y
2
B.
x
4
C.
D.
Hint
8.
Which expression is equivalent to ((3
2
)
4
)
3
?
A.
9
6
B.
9
9
C.
27
12
D.
81
6
Hint
9.
Simplify
.
A.
x
3
y
3
B.
x
6
y
3
C.
x
26
y
3
D.
x
24
y
19
Hint
10.
Find (4
x
2
– 2
x
– 3) + (–
x
2
+ 7
x
– 4).
A.
5
x
2
+ 5
x
+ 1
B.
3
x
2
+ 5
x
– 7
C.
5
x
2
+ 5
x
– 7
D.
3
x
2
+ 5
x
+ 1
Hint
11.
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
+ 27
k
C.
6
k
3
+ 4
k
2
– 5
k
D.
–6
k
3
+ 4
k
2
– 5
k
Hint
12.
A worker has a cafeteria meal plan. The plan requires her to pay $20 for the card, and $1 each time
x
she uses it. If the company sells 100 cards, what is its total revenue?
A.
2100
B.
2000 + 100
x
C.
100
x
D.
2000
Hint
13.
Find the area of a triangle with base 2
x
+ 3 and height 3
x
– 1.
A.
x
2
+
x
– 3
B.
3
x
2
+
x
C.
6
x
2
+ 7
x
– 3
D.
5
x
2
+ 7
x
– 3
Hint
14.
What is the factored form of the polynomial 23
x
2
– 69
x
?
A.
23
x
(
x
+ 3)
B.
23
x
(
x
2
– 3)
C.
23
x
(
x
2
+ 3)
D.
23
x
(
x
– 3)
Hint
15.
A number is multiplied by 3, increased by 14 and then multiplied by 5. The final number is 325. What is the original number?
A.
26
B.
17
C.
21
D.
19
Hint
16.
Maria's age multiplied by 3, decreased by 17 and then doubled is 68. How old is Maria?
A.
15
B.
17
C.
22
D.
14
Hint