Name:
Date:
Topic 9 Review: Inequalities
1.) Circle the appropriate inequality symbol for the following situation:
The volume of a cube is at least 20 ounces.
a.) <
b.) >
2.) Solve the following inequality:
c.) ≠
d.) ≤
e.) ≥
x – 4 < 12
Which graph below shows the
solutions
3.) Write an inequality to model the given situation.
A light bulb can be no more than 75 watts to be safely used in this light fixture.
Which of the inequalities models the given situation?
a.) w < 75
4.)
b.) w > 75
c.) w ≤ 75
d.) w ≥ 75
Over the next 14 months you have to read at least 56 books. You have to read x books per
month. The inequality 14x ≥ 56 represents this situation. Solve the inequality to find the number
of books you have to read per month.
You have to read at least
books per month.
5.)
a.) Solve x
+ 17≥ 18
b.) Graph the solutions.
6.) A teacher writes the inequality
x
 16 on the board. What is the correct solution?
4

7.) Solve the inequality
7x  35

8.) Solve the following inequality:

1
x  19
7
9.) Which situation below does the inequality 9.80n + 34 ≥ 175 represent?
a.) Circle the correct situation:
A.) A ticket for a concert costs $34. There is a $8.80 tax and a $1 parking fee on the total order.
How many tickets should you buy if you want to spend at most $175?
B.) Your weekly paycheck is at least $175. You make $9.80 an hour. How many hours do you have
to work each week if $28 is taken out for taxes and $6 is taken out for savings?
C.) You need to save at least $175. You have $28 and a friend gives you $6. How many hours do
you have to work if you make $9.80 an hour?
b.) Solve the following inequality: 9.80n + 34 ≥ 175
10.) A restaurant manager needs to rope off a rectangular section for a private party. The length of the
section must be 7.8m. The manager can use no more than 29m of rope. The inequality to find the
possible width is written below. Solve the inequality to find the possible widths of the roped off section?
16.6 + 2w ≤ 29
11.) Write, solve, and graph the following inequality: 3 times a number plus 9 is more than 12.
a.) Circle the correct inequality:
A.) 3x + 9 < 12
b.) 3x + 9 ≤ 12
b.) Solve the correct inequality:
c.) Graph the inequality.
c.) 3x + 9 > 12
d.) 3x + 9 ≥ 12
12.) Solve the inequality for y:
2(3y – 4) < -2
b.) Graph the inequality
13.) Solve the inequality for d: 15d + 21d +
14.) Solve the inequality for y: 2(2y – 7) <
13.) Solve the inequality for d:

13d > 300
-18
x
 2  2
6