1.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
14
a
2
+ 2
a
B.
14
a
3
+ 2
a
2
C.
2
a
2
+ 10
a
D.
10
a
3
+ 4
a
2
Hint
2.
Solve 5(4
x
– 3) = 6(2
x
+ 5) – 5.
A.
x
= 5
B.
C.
D.
Hint
3.
Solve 4
a
(
a
– 4) – 7
a
=
a
(4
a
– 3) + 20.
A.
a
= -6
B.
a
= -1
C.
D.
a
= -2
Hint
4.
A cafeteria has two meal plans. One requires the worker to pay $20 for the card, and $1 each time
x
she uses it. The other plan requires the worker to pay $30 for the card, but only $0.50 each time
x
she uses it. After how many uses will the workers with different plans have spent the same amount of money?
A.
10 uses
B.
5 uses
C.
20 uses
D.
It will never happen.
Hint
5.
Solve
x
(
x
– 2) + 2
x
(
x
+ 3) + 10 = 3
x
(
x
– 1) + 31.
A.
x
= –2
B.
x
= 2
C.
x
= 4
D.
x
= 3
Hint