1.
Write an inequality for the phrase ''two more than three times a number is at most 53.''
A.
3
m
+ 2
53
B.
3
m
+ 2
53
C.
2
m
+ 3
53
D.
2
m
+ 3
53
Hint
2.
Choose the graph of the solution set for
z
+ 7
6.
A.
B.
C.
D.
Hint
3.
Solve 5
b
< 35.
A.
b
< 7
B.
b
> 7
C.
b
7
D.
b
7
Hint
4.
Sarah must maintain a balance of at least $500 in her checking account to avoid finance charges. If her current balance is $794, write an inequality to determine how many times she can withdraw $25 for shopping without paying finance charges.
A.
25
w
794
B.
25
w
500
C.
25
w
294
D.
25
w
106
Hint
5.
A refuse company charges $75 to remove up to one ton of trash and $35 for each additional ton. Write an inequality to determine how many tons of refuse a company can remove if it has $500 to spend.
A.
35 + 75(
n
- 1)
500
B.
75 + 35(
n
- 1)
500
C.
75 + 35(
n
- 1)
500
D.
35 + 75(
n
- 1)
500
Hint
6.
Solve
p
+ 5
< 3
A.
p
> -2
B.
p
< 2
C.
p
> 2
D.
p
< -2
Hint
7.
What is the solution of 2.5
a
+ 12 = 5
a
?
A.
24
B.
30
C.
4.8
D.
2.5
Hint
8.
If 3.2
z
- 6 = 1.8 + 11
z
, what is the value of
z
?
A.
0
B.
1
C.
-2
D.
-1
Hint
9.
Solve 6
g
+ 4 < 22.
A.
g
< 3
B.
g
< 16
C.
g
< 18
D.
g
< 4
Hint
10.
If five times the sum of a number and two is more than 38, write an inequality to find the number.
A.
5
w
> 38 + 2
B.
5(2 +
w
) > 38
C.
5(2) +
w
> 38
D.
(5 +
w
) > 38
Hint
11.
Solve 4
p
= 12(
p
– 2).
A.
p
= 3
B.
C.
D.
p
= -3
Hint
12.
Solve 5(
k
– 2) = 10(3
k
+ 9).
A.
k
= 5
B.
k
= -5
C.
k
= 4
D.
k
= -4
Hint