1.
Simplify the polynomial 4
a
2
+
a
2
.
A.
5
a
2
B.
4
a
2
C.
6
a
2
D.
4
a
2
+
a
Hint
2.
Simplify the expression 2
a
+ 7
b
+ 12
a
+ 3
b
and then evaluate if
a
= 2 and
b
= -2.
A.
14
a
+ 8
b
; 12
B.
14
a
+ 10
b
; 8
C.
9
a
+ 15
b
; -12
D.
10
a
+ 14
b
; -8
Hint
3.
Add 3
x
2
+ 2
x
- 1 and
x
2
- 3
x
+ 5.
A.
2
x
2
+ 5
x
+ 4
B.
4
x
2
-
x
+ 4
C.
4
x
2
+ 5
x
- 4
D.
2
x
2
- 5
x
- 6
Hint
4.
Start with a square with side length. Create a large rectangle by adding two more squares of the same size, and remove a strip with a width of 1. What is the area of the new rectangle?
A.
x
(3
x
+ 1) = 3
x
2
+
x
B.
x
(
x
+ 3) =
x
2
+ 3
x
C.
x
(
x
– 1) =
x
2
–
x
D.
x
(3
x
– 1) = 3
x
2
–
x
Hint
5.
Use the distributive property to expand the expression.4
a
(2 + 7
a
)
A.
8
a
+ 28
a
2
B.
8 + 28
a
2
C.
8
a
+
a
2
D.
6
a
+ 28
a
2
Hint