Solving Real-Life Inequalities: Word Problems & Graphing

A concert hall has a maximum capacity of 500 people. If 150 tickets have already been sold, how many more tickets can be sold without exceeding the capacity? Write and graph the inequality.

• 400

• 350

• 300

• 250

A school is planning a field trip and has a budget of $1,200. If each student ticket costs $30, how many students can attend the trip? Write and graph the inequality.

• 40

• 20

• 50

• 30

A gym charges a monthly fee of $40 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 graph the inequality.

• 10

• 15

• 8

• 12

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

• 30 acres

• 100 acres

• 90 acres

• 60 acres

A bookstore is having a sale where each book costs $12. If a customer wants to spend no more than $60, how many books can they buy? Write and graph the inequality.

• 7

• 5

• 6

• 4

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 graph the inequality.

• 300 miles

• 200 miles

• 150 miles

• 250 miles

A local charity is collecting donations and has a goal of at least $500. If they have already collected $200, how much more do they need to collect? Write and graph the inequality.

• They need to collect at least $200 more.

• They need to collect at least $500 more.

• They need to collect at least $400 more.

• They need to collect at least $300 more.

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

• 5

• 4

• 3

• 2

A student has $80 to spend on school supplies. If each notebook costs $5, how many notebooks can they buy? Write and graph the inequality.

• 16

• 10

• 12

• 20

A movie theater has a special where tickets are $10 each. If a group of friends wants to spend no more than $50 on tickets, how many tickets can they buy? Write and graph the inequality.

• 3

• 10

• 7

• 5