1.
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.
-3
x
4
y
2
- 4
xy
2
+ 2
xy
2
- 10
C.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
- 10
D.
-11
x
4
y
2
- 3
x
2
y
+
xy
2
- 10
Hint
2.
Find the polynomial that represents the measure of the perimeter of the triangle.
A.
7
x
3
y
6
+ 10
x
2
– 2
y
B.
15
xy
2
C.
5
xy
2
+ 10
x
D.
7
xy
2
+ 10
x
– 2
y
Hint
3.
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
, how much higher is Sanford's throw?
A.
x
2
+
x
+ 1
B.
x
2
+
x
– 1
C.
x
2
–
x
– 1
D.
x
2
–
x
+ 1
Hint
4.
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.
19
x
2
+ 29
x
+ 45
B.
x
2
–
x
+ 1
C.
–
x
2
+
x
– 1
D.
–19
x
2
+ 29
x
+ 45
Hint
5.
Suppose the perimeter of a triangle is given by
P
= 13
x
+ 5
y
, and two of its sides have lengths of 2
x
+
y
and 8
x
+ 4
y
. What is the length of the third side?
A.
3
x
+
y
B.
3
x
C.
6
x
+ 3
y
D.
23
x
+ 5
y
Hint