A local gym charges a monthly fee of $30 plus $5 for each class attended. If a member wants to spend no more than $100 in a month, write a linear inequality to represent the number of classes they can attend. Solve the inequality and graph the solution.
Exploring Linear Inequalities: Real-Life Applications

Quiz
•
English, Mathematics
•
9th Grade
•
Hard
Anthony Clark
FREE Resource
9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
x ≤ 10
x ≤ 12
x ≤ 20
x ≤ 14
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. Write a linear inequality to determine how many students can attend the trip without exceeding the budget. Solve the inequality and graph the solution.
x ≤ 20
x < 25
x ≤ 25
x ≤ 30
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A farmer has 120 acres of land and wants to plant corn and wheat. Each acre of corn requires 2 hours of labor, and each acre of wheat requires 3 hours. If the farmer has a maximum of 240 hours of labor available, write a linear inequality to represent the situation. Solve and graph the inequality.
4x + 2y ≤ 240
x + y ≤ 120
2x + 3y ≥ 240
2x + 3y ≤ 240
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A company produces t-shirts and hoodies. Each t-shirt requires 2 hours of labor, and each hoodie requires 3 hours. If the company has 60 hours of labor available, write a linear inequality to represent the maximum number of t-shirts and hoodies that can be produced. Solve and graph the inequality.
3x + 2y ≤ 60
x + 2y ≤ 60
2x + 3y ≤ 60
2x + 3y = 60
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A student has a budget of $50 to spend on school supplies. If notebooks cost $3 each and pens cost $2 each, write a linear inequality to represent the number of notebooks and pens the student can buy. Solve the inequality and graph the solution.
3x + 2y < 50
3x + 2y ≤ 50
2x + 5y ≤ 50
4x + 3y ≤ 50
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car rental company charges a flat fee of $40 plus $0.25 per mile driven. If a customer wants to spend no more than $100, write a linear inequality to represent the miles they can drive. Solve the inequality and graph the solution.
m <= 240
m <= 200
m <= 180
m <= 300
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A bakery sells cupcakes for $2 each and cookies for $1 each. If the bakery wants to make at least $100 in one day, write a linear inequality to represent the number of cupcakes and cookies they need to sell. Solve and graph the inequality.
2x + y ≥ 100
3x + 2y ≤ 100
x + 2y ≥ 100
x + y ≥ 100
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A charity event has a goal of raising at least $1,000. If each ticket sold is $25, write a linear inequality to represent the number of tickets that need to be sold to meet the goal. Solve the inequality and graph the solution.
x >= 40
x > 40
x <= 40
x < 40
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A student is saving money for a new laptop that costs $800. If they save $50 each week, write a linear inequality to represent the number of weeks needed to save enough money. Solve the inequality and graph the solution.
w < 16
w >= 16
w > 16
w <= 16
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