1.
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.
–3
x
3
– 13
x
2
+ 5
x
+ 4
C.
–3
x
3
– 13
x
2
+ 5
x
- 12
D.
-11
x
8
+ 4
Hint
2.
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
+
xy
2
- 10
B.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
C.
-3
x
4
y
2
- 4
xy
2
+ 2
xy
2
- 10
D.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
- 10
Hint
3.
Find (4
x
2
– 2
x
– 3) + (–
x
2
+ 7
x
– 4).
A.
3
x
2
+ 5
x
– 7
B.
5
x
2
+ 5
x
+ 1
C.
3
x
2
+ 5
x
+ 1
D.
5
x
2
+ 5
x
– 7
Hint
4.
Find (–2
x
2
+ 5
x
– 1) – (3
x
2
– 4
x
– 6).
A.
–5
x
2
+ 9
x
+ 5
B.
–5
x
2
+
x
– 7
C.
–5
x
2
+ 9
x
– 7
D.
–5
x
2
+
x
+ 5
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.
6
x
+ 3
y
B.
3
x
+
y
C.
23
x
+ 5
y
D.
3
x
Hint