1.
Which statement illustrates the commutative property of addition?
A.
(5 + 3) + 6 = 8 + 6
B.
(5 + 3) + 6 = 5 + (3 + 6)
C.
(5 + 3) + 6 = (3 + 5) + 6
D.
(5 + 3) + 6 = 14
Hint
2.
Which statement illustrates the associative property of multiplication?
A.
(2
x
)
y
= (
x
· 2)
y
B.
(2
x
)
y
= 2
xy
C.
(2
x
)
y
= 2(
xy
)
D.
(2
x
)
y
=
y
(2
x
)
Hint
3.
Simplify 3 + 2(
xy
+ 3
z
) + 4
xy
.
A.
6
xy
+ 6
z
+ 3
B.
5
xy
+ 3
z
+ 3
C.
9
xy
+ 15
z
D.
6
xy
+ 3
z
+ 3
Hint
4.
Simplify 2
a
4
+ 4
a
2
+
a
4
.
A.
7
a
10
B.
3
a
8
+ 4
a
2
C.
2
a
4
+ 4
a
2
+
a
4
D.
3
a
4
+ 4
a
2
Hint
5.
Write an algebraic expression for the verbal expression: three times the sum of
x
and
y
increased by five times the product of
x
and 3
y
.
A.
3(
x
+
y
) + 5(
x
+ 3
y
)
B.
3(
xy
) + 5(
x
+ 3
y
)
C.
3
x
+
y
+ 5
x
(3
y
)
D.
3(
x
+
y
) + 5(3
xy
)
Hint