1.
Find the difference (-3
x
3
– 7
x
2
+ 5
x
– 4) – (6
x
2
– 8).
A.
–3
x
3
– 13
x
2
+ 5
x
- 12
B.
-11
x
8
+ 4
C.
–3
x
3
–
x
2
+ 5
x
- 12
D.
–3
x
3
– 13
x
2
+ 5
x
+ 4
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.
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
+ 3
xy
2
- 10
C.
-3
x
4
y
2
- 4
xy
2
+ 2
xy
2
- 10
D.
-11
x
4
y
2
- 3
x
2
y
+
xy
2
- 10
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.
–
x
2
+
x
– 1
B.
x
2
–
x
+ 1
C.
–19
x
2
+ 29
x
+ 45
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