Inequalities in Action: Real-World Word Problems

A concert hall has a seating capacity of 500. If tickets are sold for $20 each, how many tickets must be sold to ensure at least $8,000 in revenue? Write an inequality to represent this situation.

• x > 400

• x < 400

• x ≥ 400

• x ≤ 400

A school is planning a field trip and needs to raise at least $1,200. If each student can contribute $15, how many students need to participate? Write an inequality to express this.

• x ≤ 80

• x > 80

• x ≥ 80

• x < 80

A gym has a maximum capacity of 150 members. If there are currently 120 members, how many new members can join without exceeding the capacity? Write an inequality to show this.

• 40

• 25

• 30

• 15

A farmer has at least 200 apples to sell. If he sells them in bags of 12 apples each, how many bags can he sell? Write an inequality to represent the number of bags.

• The farmer can sell at most 20 bags.

• The farmer can sell at most 10 bags.

• The farmer can sell at most 12 bags.

• The farmer can sell at most 16 bags.

A store is having a sale where items are discounted by at least 25%. If an item originally costs $80, what is the minimum price after the discount? Write an inequality to find the minimum price.

• 55

• 70

• 75

• 60

A student needs to score at least 75% on a test to pass. If the test has 40 questions, how many questions must the student answer correctly? Write an inequality to represent this situation.

• 35

• 25

• 30

• 40

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend no more than $100, how many miles can they drive? Write an inequality to express this.

• m ≤ 150

• m ≤ 300

• m ≤ 200

• m ≤ 250

A bakery produces at least 300 loaves of bread each day. If each loaf costs $3, what is the minimum revenue the bakery can expect? Write an inequality to represent this situation.

• The minimum revenue the bakery can expect is $900.

• $1500

• $600

• $1200

A charity event aims to raise at least $5,000. If each ticket sold is $25, how many tickets must be sold? Write an inequality to express this.

• x < 200

• x ≤ 150

• x ≥ 200

• x = 250

A student has a budget of $200 for school supplies. If notebooks cost $5 each and pens cost $2 each, how many notebooks can the student buy if they want to buy at least 10 pens? Write an inequality to represent this.

• 40

• 30

• 36

• 25