A farmer has 100 meters of fencing to create a rectangular pen for his sheep. If the length of the pen is represented by x and the width by y, write an inequality to represent the maximum area of the pen. Graph the feasible region.
Linear Inequalities: Solving Real-World Problems

Quiz
•
English, Mathematics
•
9th Grade
•
Hard
Anthony Clark
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ≤ 2000, with x + y ≤ 25 and x, y ≥ 0.
A ≤ 1000, with x + y ≤ 75 and x, y ≥ 0.
A ≤ 1250, with x + y ≤ 50 and x, y ≥ 0.
A ≤ 500, with x + y ≤ 100 and x, y ≥ 0.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school is planning a field trip and has a budget of $500. The cost per student is $20 for transportation and $15 for admission. Write a linear inequality to represent the number of students (x) that can attend the trip. Graph the feasible region.
x ≤ 10
x ≤ 20
x ≤ 14
x ≤ 5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A factory produces two types of toys: type A and type B. Each type A toy requires 2 hours of labor and each type B toy requires 3 hours. If the factory has 60 hours of labor available, write an inequality to represent the production limits. Graph the feasible region.
2x + 3y ≥ 60
x + y ≤ 20
2x + 3y ≤ 60
2x + 3y = 60
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A restaurant sells two types of sandwiches: vegetarian and meat. The vegetarian sandwich costs $5 and the meat sandwich costs $7. If the restaurant wants to make at least $200 in one day, write a linear inequality to represent the sales of each type of sandwich. Graph the feasible region.
5x + 7y = 200
5x + 7y ≥ 200
5x + 7y > 200
5x + 7y ≤ 200
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A gym has a maximum capacity of 150 members. If x represents the number of adult members and y represents the number of child members, write an inequality to represent the membership limits. Graph the feasible region.
x + y ≥ 150
x + y ≤ 150
x + y < 150
x + y = 150
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A company produces two products, A and B. Each product A requires 4 hours of labor and each product B requires 2 hours. If the company has a maximum of 40 hours of labor available, write an inequality to represent the production limits. Graph the feasible region.
2x + 4y ≤ 40
3x + 2y ≤ 40
4x + 2y ≤ 40
4x + 3y ≤ 40
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A charity event is selling tickets for $10 each and has a goal of raising at least $1,000. Write a linear inequality to represent the number of tickets (x) that need to be sold. Graph the feasible region.
x < 100
x <= 100
x >= 100
x > 100
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