Solve and graph inequalities by using substitution and a visual model (6.EE.5)
Practice Exercises
Name__________________________
Set B
Date___________________________
1.
103

y + 24
a. Use the tape diagram to help determine which values would make the
inequality true then write the solution for y as an inequality.

103
y
b. Draw a number line and graph the inequality.
2.

n
< 164.5
7
a. Draw a tape diagram for the inequality.
24
b. Write an inequality that represents the solution set for n.
c. Draw a number line and graph the solutions for the following inequality:
3.
Vincent gets paid $14.50 an hour for his job as an after school tutor. He
wants to buy a camera that costs $188.50. How many hours would he need
to work in order to have at least $188.50 to purchase the camera?
a. Draw a tape diagram that represents the situation.
b. Write an inequality that represents the situation. Be sure to define your
variable.
c. Write an inequality that represents the solution. Be sure to define your
variable.
d. Draw a number line and graph the solutions.
Solve and graph inequalities by using substitution and a visual model (6.EE.5)
Practice Set B Answer Key
1.
103
y + 24
a. Use the tape diagram to help determine which values would make the
inequality true then write the solution for y as an inequality.
103
y
103 – 24 = 79
79
24
y
or
y
 79
b. Draw a number line and graph the inequality.

2.

n
< 164.5
7
a. Draw a tape diagram for the inequality.
b. Write an inequality that represents the solution set for n.
n < 1151.5
c. Draw a number line and graph the solutions for the following inequality:
3.
Vincent gets paid $14.50 an hour for his job as an after school tutor. He
wants to buy a camera that costs $188.50. How many hours would he need
to work in order to have at least $188.50 to purchase the camera?
a. Draw a tape diagram that represents the situation.
b. Write an inequality that represents the situation. Be sure to define your
variable.
14.50h
 188.50
Let h = the number of hours Vincent would work
 c.
Write an inequality that represents the solution. Be sure to define your
variable.
h
 13
Let h = the number of hours Vincent would work

d. Draw a number line and graph the solutions.