Mastering Linear Inequalities: Real-World Applications

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

• 500 tickets must be sold.

• At least 400 tickets must be sold.

• 300 tickets must be sold.

• 450 tickets must be sold.

A school is planning a field trip and has a budget of $1,200. If each student pays $15, how many students can attend the trip without exceeding the budget? Write and solve the inequality.

• 60

• 80

• 100

• 75

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, how many classes can they attend? Write and solve the inequality.

• 16

• 12

• 10

• 14

A farmer has 120 acres of land and wants to plant corn and wheat. If he plants corn on at least 40 acres, how many acres can he plant with wheat? Write and solve the inequality.

• 40 acres

• 100 acres

• 80 acres

• 60 acres

A bookstore sells novels for $12 each and textbooks for $25 each. If a customer wants to spend no more than $100, how many novels and textbooks can they buy? Write and solve the inequality for novels if they buy 2 textbooks.

• 3 novels

• 5 novels

• 2 novels

• 4 novels

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 and solve the inequality.

• 250 miles

• 200 miles

• 300 miles

• 150 miles

A pizza shop sells large pizzas for $15 each. If a family wants to spend no more than $60 on pizza for a party, how many pizzas can they order? Write and solve the inequality.

• 2

• 3

• 5

• 4

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

• 200

• 250

• 300

• 150

A local pool can accommodate a maximum of 200 people. If there are already 75 people in the pool, how many more can enter? Write and solve the inequality.

• 175

• 125

• 100

• 150

A student has $50 to spend on school supplies. If notebooks cost $3 each and pens cost $2 each, how many notebooks can they buy if they want to buy at least 5 pens? Write and solve the inequality.

• 10

• 15

• 12

• 13