Graphing and Writing Inequalities
One-Step Inequalities
Two-Step Inequalities
Multi Step Inequalities
Word Problems
100
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
100
Solve.
2x>=8
What is:
x >= 4
100
Solve.
4x + 3 < 7
What is:
x < 1
100
Solve.
6x + 2 + 6x < 14
What is:
x<1
100
Mary plans to buy 5 tickets to go to an orchestra concert with her friends. She expects to spend at least $90 on the tickets. Let x represent how much Mary expects each ticket to cost. Solve the inequality.
What is
x>=18
Mary plans on spending at least $18 per ticket.
200
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
200
Solve.
X + 4 < -88
What is:
X < -92
200
Solve.
2x - 5 > - 11
What is:
x > -3
200
Solve.
8(1 - 4x) > 40
What is
x < -1
200
Brett's fish tank can hold up to 10.5 gallons of water before it overflows. Brett has poured 3 gallons of water into his fish tank so far. Let x represent how many more gallons of water Brett can pour into his fish tank.
What is
x<=7.5
Brett can pour at most 7.5 more gallons of water into his fish tank.
300
Which direction do we shade for -3 > x ?
What is
Left
(re-write with variable on the left-hand side of the inequality symbol)
300
Solve.
z/30>70
What is
z > 2,100
300
Solve.
-9x + 1 > -71
What is:
x < 8
300
Solve.
5x - 7(x + 1) > -9
What is
x < 1
300
A plumber charges a service fee of $75 and then $40 for each hour worked at a house. If a customer paid less than $395, what are the possible lengths of time the plumber could have worked? Solve the inequality.
What is
x<8
The plumber worked for less than 8 hours
400
Is the following inequality graphed correctly?
x<=-6
No, the graph shows
x>=-6
400
Solve.
-4x < 14
What is
x > -3.5
400
Solve.
v/3+14<30
What is
v < 48
400
Solve.
-2(2 + 2m) - 2 > 6
What is
m < -3
400
A gaming enthusiast is purchasing a new console and games. How many games can they purchase?
- Their total budget is $415.
- The console costs $280.
- Each game costs $30.
What is
x<=4.5
The gaming enthusiast can purchase a maximum of 4 games.
500
What are these symbols called:
< , ≤ , > , ≥?
What is
500
Solve:
9 - x < -5
What is:
x > 14
500
Solve.
11 < 2 - 3x
What is
x < -3
500
Solve.
-9 >= -8(1 + 6v) - 1
What is
v>=0
500
A local bakery is preparing boxes of cookies for a school fundraiser. They have baked a total of 495 cookies. They plan to give 30 cookies to the event organizers. They want to ensure that each student attending the fundraiser receives at least 2 cookies. What is the maximum number of students who could attend the fundraiser? Solve the inequality.
What is
x<=232.5
A maximum of 232 students could be going on the field trip.