Solving and Graphing Linear Inequalities in Real Life

A school is planning a field trip and has a budget of $500. Each ticket costs $25. Write an inequality to represent the number of tickets they can buy. How many tickets can they purchase?

• 15

• 25

• 30

• 20

Maria has a part-time job where she earns $12 per hour. She wants to save at least $240 for a new bike. Write an inequality to represent the number of hours she needs to work. How many hours must she work?

• 15

• 20

• 25

• 30

A farmer has 100 acres of land and wants to plant corn and wheat. Each acre of corn requires 1 hour of labor, and each acre of wheat requires 2 hours. If he has 120 hours of labor available, write an inequality to represent the land he can plant. How much corn and wheat can he plant?

• 50 acres of corn and 30 acres of wheat

• 70 acres of corn and 10 acres of wheat

• 40 acres of corn and 40 acres of wheat

• 60 acres of corn and 20 acres of wheat

A 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 an inequality to represent the number of classes they can attend. How many classes can they take?

• 16

• 14

• 12

• 10

A local bakery sells cupcakes for $3 each and cookies for $2 each. If they want to make at least $150 in one day, write an inequality to represent the number of cupcakes (c) and cookies (k) they need to sell. How many combinations of cupcakes and cookies can they sell?

• 3c + 2k = 150

• 3c + 2k ≤ 150

• 2c + 3k ≥ 150

• 3c + 2k ≥ 150

A concert hall has a seating capacity of 800. If each ticket costs $50, write an inequality to represent the total revenue (R) from ticket sales if they want to earn at least $20,000. How many tickets must they sell?

• 500

• 600

• 300

• 400

A car rental company charges a flat fee of $40 plus $0.20 per mile driven. If a customer wants to spend no more than $100, write an inequality to represent the number of miles (m) they can drive. How many miles can they drive?

• 400 miles

• 250 miles

• 300 miles

• 150 miles

A charity event aims to raise at least $1,000. If each ticket sold is $20, write an inequality to represent the number of tickets (t) that need to be sold. How many tickets must they sell?

• 50

• 60

• 70

• 40

A factory produces toys and has a maximum production capacity of 1,000 toys per day. If they produce dolls and action figures, and each doll takes 2 hours to make while each action figure takes 1 hour, write an inequality to represent the total production time available. How many dolls and action figures can they produce?

• The factory can produce up to 12 dolls and 0 action figures, or any combination of dolls and action figures that satisfies the inequalities 2x + y <= 24 and x + y <= 1000.

• The factory can produce 24 dolls and 12 action figures.

• The factory can produce 500 dolls and 500 action figures.

• The factory can produce 0 dolls and 1000 action figures.