Linear Inequalities Challenge: Real-World Applications

A concert hall has a seating capacity of 500. If tickets are sold for $20 each, how many tickets must be sold to ensure that at least $8,000 is made? Write and solve the inequality.

• 400

• 300

• 600

• 450

A school is planning a field trip and needs to collect at least $1,200 to cover costs. If each student pays $15, how many students need to participate? Write and solve the inequality.

• 100

• 120

• 60

• 80

A gym charges a monthly fee of $30. If a member wants to spend no more than $300 in a year, what is the maximum number of months they can be a member? Write and solve the inequality.

• 10

• 5

• 15

• 12

A farmer has 120 acres of land and wants to plant corn and wheat. If he plants at least 30 acres of corn, how many acres of wheat can he plant? Write and solve the inequality.

• 45 acres

• 90 acres

• 120 acres

• 60 acres

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

• $70

• $75

• $50

• $60

A car rental company charges a base 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 and solve the inequality.

• 250 miles

• 200 miles

• 300 miles

• 150 miles

A student needs to score at least 70% on a test to pass. If the test has 50 questions, how many questions must they answer correctly? Write and solve the inequality.

• 50

• 30

• 35

• 40

A bakery sells cupcakes for $3 each. If they want to make at least $150 in a day, how many cupcakes do they need to sell? Write and solve the inequality.

• 60

• 50

• 40

• 70

A movie theater has a special offer where a family of four can watch a movie for no more than $40. If each ticket costs $10, what is the maximum number of tickets they can buy? Write and solve the inequality.

• 3

• 5

• 6

• 4

A charity event aims to raise at least $5,000. If each ticket is sold for $25, how many tickets must be sold to meet the goal? Write and solve the inequality.

• 250

• 300

• 200

• 150