Inequality Basics
Solve algebraically.
Word Problems (1 Variable)
Word Problems (2 Variables)
Graphing
100
If the inequality symbol is < or ≤ (with y alone on the left side) you shade ____________.
Below the line
100
If 5h + g > 15, solve for g.
g > 15 - 5h
100
The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Write an inequality represents the maximum amount of hours the DJ will play at the dance?
125h + 55 < 600
100
A bakery has only 150 pounds of flour to make cookies and cakes for the day. It requires 2 pounds of flour to make an order of cookies and 3 pounds of flour to make a cake. Let x represent the number of cookies and y represent the number of cakes ordered during the day. Write an inequality to represent the situation.
2x + 3y <= 150
100
Which inequality matches the graph?
2x - 5y < 10
200
If the inequality symbol is > or < the line is ____________.
Dashed
200
Find the solution set of the inequality below:
25 – 4x > –7
x < 8
200
Jordan wants to buy snacks at the movie theater as well as a movie ticket. Each snack item costs $3, the ticket is $8, and he has at most $24 to spend.
Let s represent the number of snack items Jordan can buy.
Write an inequality that represents the situation.
3s+8 <= 24
200
David has to study before two tests tomorrow -- one in algebra and one in world history. It is 7PM and he will lose motivation and go to bed at 1AM at the latest.
Write an inequality to represent how much time he can spend studying for each test. Let a represent the hours he spends studying algebra and h represent the hours he spends studying for his history test.
a+h<=6
200
Graph the inequality
3x – 2y < 10
300
What is the new requirement for graphing functions on the Texas version of Desmos?
You must start the equation with 'y ='!
300
Sofie has her eye on a $5000 car. She has $800 saved right now, and saves an additional $400 each week from work. After how many weeks will Sofie be able to buy the car? (Choose all correct answers).
8 9 10 11 12
After 11 (and 12) weeks.
300
Tom sells PCs and laptops at a department store. He earns $20 for every PC and $25 for every laptop he sells. At the end of the week, he needs to earn at least $700. If he already sold 13 PCs during the week, and x represents the number of laptops sold write an inequality that represents the number of laptops Tom could sell to meet his goal?
20(13)+25x>=700
300
A student is selling cookie boxes and candy boxes. Cookie boxes sell for $6 and candy boxes for $8.
Their goal is to earn at least $120. They also must sell no more than 20 total boxes because of inventory limits. Let c = cookie boxes sold and d = candy boxes sold
Write the system.
{(6c,+,8d,>=,120),(c,+,d,<=,20):}
300
According to the graph, which point(s) is a solution? Choose all that apply.
(0, 0) (4, 2) (0, -1) (-3, 0)
(0, 0) and (4, 2)
400
When graphing
y >= 1/9x + 4
you will draw what type of line and shade where?
Solid line and shade above the line
400
Is (-2,-3) a solution to the system
{(2x,+,y,<=,3),(x,-,y,>,5):}
No
400
Netflix charges a monthly subscription fee of $15 plus $1.00 per movie you rent. Hulu charges no monthly subscription fee, but $2.25 per movie rental.
Write an inequality to determine after how many movies Hulu would cost more than Netflix in a given month.
15+1m<2.25m
400
A bakery has only 150 pounds of flour to make cookies and cakes for the day. It requires 2 pounds of flour to make an order cookie of and 3 pounds of flour to make a cake. Let x represent the number of cookies and y represent the number of cakes ordered during the day. Can the bakery make 35 orders of cookies and 27 orders or cakes? How do you know?
No, (35,27) doesn't satisfy
2x+3y<=150
400
Which points are solutions to the following system of inequalities?
(-6,5) (0,5) (2,5) (5,5)
(-6,5) and (0,5)
500
Tina solved the following inequality for x below.
1 – 3x ≤ 13
–3x ≤ 12
x ≤ -4
What mistake did Tina make solving the inequality?
Tina forgot to flip the inequality sign.
500
What is the solution to:
3(4x−2)+5=2(6x−1)+1
Infinitely many solutions
500
A school club is ordering custom T-shirts for a field trip. The printing company charges $15 per shirt plus $40 shipping. The club treasurer has a maximum budget of $300.
Can all 20 club members get a shirt?
No.
15(20) + 40 > 300
500
A factory makes chairs and tables. Each chair requires 3 hours of labor and 2 units of wood. Each table requires 5 hours of labor and 4 units of wood.
The factory has at most 90 hours of labor available and at most 70 units of wood. Let x = chairs and y = tables.
Write the system of inequalities for the constraints.
{(3x,+,5y,<=,90),(2x,+,4y,<=,70):}
500
Graph the solution set to the following system of inequalities.
{(y,>,-3x,+,1),(y,<=,1/2x,-,2):}
