1.
Choose the inequality that corresponds with the sentence ''Twice a number increased by four is less than the difference of three times that number and five. ''
A.
2
x
+ 4 > 3
x
- 5
B.
2(
x
+ 4) < 3(
x
+ 5)
C.
2
x
+ 4 < 3
x
- 5
D.
2
x
+ 4 < 5 - 3
x
Hint
2.
In order to save for a new computer and printer, Joseph has a summer job working at the marina where he earns $8.50 per hour. His weekly earnings are listed in the table below. The computer he wants costs $1575, and the printer costs $225. Joseph has to earn at least how much more money,
m
, in order to be able to afford the computer and printer?
A.
B.
C.
D.
Hint
3.
Find the solution to the sentence, ''2 times the sum of a number and 4 is at least 6 times the number decreased by 8''.
A.
B.
C.
D.
Hint
4.
Which graph show the solution set of the compound inequality
4
x
- 7 < 2
x
and 3
x
+ 5
>
-1?
A.
B.
C.
D.
Hint
5.
The sum of three times a number and 12 is at least -3 and at most 15. Find the solution set for this number.
A.
{
x
| -5 <
x
< 1}
B.
{
x
| -5 <
x
<
1}
C.
{
x
|
x
<
-5 or
x
>
1}
D.
{
x
| -5
<
x
<
1}
Hint
6.
Which inequality is graphed below?
A.
y
< 8
B.
y
>
8
C.
y
<
8
D.
x
< 8
Hint
7.
Solve
A.
B.
C.
D.
Hint
8.
Solve –15
k
> -120.
A.
k
< 8
B.
k
< -8
C.
k
> -8
D.
k
> 8
Hint
9.
Solve
A.
B.
C.
D.
Hint
10.
Solve
A.
{
x
|
x
> 12}
B.
{
x
|
x
< -16 or
x
> 12}
C.
{
x
|
x
< -12 or
x
> 16}
D.
{
x
|
x
< -12}
Hint
11.
Solve
A.
or
B.
C.
or
D.
Hint
12.
Which of the following is the inequality for the given graph?
A.
3
x
+
y
> 2
B.
3
x
–
y
> 2
C.
3
x
+
y
< 2
D.
3
x
–
y
< 2
Hint