Graphing and Writing Inequalities
True/false statements
Test Quest
Two-Step Inequalities
Solution Sets
100
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
100
Is the statement true
2x > -6
x = -3
False
100
Zuzu scored 21 points in yesterday's game. That was 3 more than twice the number of points Fefe scored. Write an inequality to match the word problem.
21= 2p + 3
p = 9
100
Solving Inequalities
Solve for x.
4x + 3 < 7
What is:
x < 1
100
What are the solutions to the inequality below?
12x < 36
a. {0, 2, 3, 5}
b. {-1, 0, 1, 2}
c. {-1, 0, 1 , 3}
d. {4, 5, 6, 7}
b. {-1, 0, 1, 2}
200
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
200
Is the statement true?
2k + 30 > -10
k > -20
True
200
Bree has $500.00 in her bank account. Each week, she withdraws $25.00 from the account. If she does not deposit or withdraw any additional money, what is the maximum number of weeks she can withdraw the same amount of money and maintain a balance of at least $100.00?
100<= 500-25w
16 weeks
200
Solving Inequalities
Solve for x.
2x - 5 > - 11
What is:
x > -3
200
What is a solution to the following inequality below? Choose all that apply.
-5x - 3 < 12
a. -4
b. -3
c. -2
d. 0
b. -3
c. -2
d. 0
300
Which direction do we shade for x < -3 ?
What is
Left
300
We use an open circle to represent the inequalities < and > ?
True
300
D
300
Solving Inequalities
Solve for x.
9x + 1 > -71
What is:
x > -8
300
What is NOT a solution to the inequality below? Choose all that apply.
14 < -2 + 2x
a. 7
b. 8
c. 9
d. 10
a. 7
b. 8
400
Is the following inequality graphed correctly?
x < 6
No, the graph shows x > -6
400
If graphing x < 5, we would put an open circle on 5 and shade to the right.
False.
400
Micah is planning to take a trip. The cost of the plane ticket is $450. He earns $20 an hour (h) and has already saved $135. Write an inequality that shows the number of hours (h) Micah could work in order to buy the ticket?
h≥15.75, so he’d need to work at least 16 hours
400
Solve for v.
v/3+14<30
v < 48
400
4x + 2 > 42
Write one number that could make this true.
x > 10
500
What are these symbols called:
< , ≤ , > , ≥?
(The answers are not less then, greater then, etc.)
What is
Inequalities
500
False
500
Jordan has $400 saved. He spends $30 each day on food and activities while on vacation. Jordan wants to make sure he still has at least $250 left.
Let ddd represent the number of days Jordan can spend money.
Write and solve an inequality to find how many days Jordan can spend money and still have at least $250.
5 days
500
A car that is used to carry boxes of supplies weighs 3,200 lbs. A box of supplies
weighs approximately 180 lbs. The car must cross a bridge that can safely hold no more than 4,500 lbs.
Which inequality can be used to determine the number of boxes of supplies, x, the car can safely carry across the bridge?
3200+180x≤4500
500
180≤300−20x
A. {7,8,9,10}
B. {6,5,4,3}
C. {6,7,8,9}
D. {5,6,7,8}
B