1.
Which mathematical statement is
not
an example of the Distributive Property?
A.
xy
+ 2
x
=
x
(
y
+2)
B.
6(10 - 3) = (6 · 10) - (6 · 3)
C.
3(2 + 8) = 3 · 2 + 3 · 8
D.
3 · (4 · 9) = (9 · 4) · 3
Hint
2.
Simplify the expression 3(5
x
+ 9 - 4
x
).
A.
3
x
+ 27
B.
13
x
C.
27
x
+ 27
D.
30
x
Hint
3.
What is the value of 4
x
increased by the quantity
x
+ 5 if
x
is equivalent to 10?
A.
55
x
B.
100
x
C.
100
D.
55
Hint
4.
Use the distributive property to rewrite the expression 7
c
+ 21
d
+ 14
e
.
A.
7
c
+ 14(2
d
+ 3)
B.
7(
c
+ 21
d
+ 14
e
)
C.
5(
c
+ 7
d
+ 3
e
)
D.
7(
c
+ 3
d
+ 2
e
)
Hint
5.
Takoda wants to figure out how much the summer concert will cost the families attending. He knows that each adult has to pay ten dollars to get into the concert and that all children get in free. He does not know how much parking will cost for each vehicle, but he knows that each family will be driving its own vehicle. If there are 4 families with two parents and two families with single parents, which expression represents the situation?
A.
6
x
+ 40
B.
6
x
+ 100
C.
6
x
+ 80
D.
6
x
+ 30
Hint