Modeling Real-Life Scenarios with Inequalities: Grade 8 Quiz

A concert hall has a maximum capacity of 500 people. If 200 tickets have already been sold, how many more tickets can be sold without exceeding the capacity? Write an inequality to represent this situation.

• 100

• 300

• 250

• 400

A school is planning a field trip and has a budget of $1,200. If each student needs to pay at least $30, how many students can attend the trip? Formulate an inequality to express this scenario.

• 30

• 40

• 50

• 60

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? Create an inequality to model this situation.

• 10

• 15

• 12

• 8

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 an inequality to represent the maximum acres of wheat he can plant.

• 90 acres of wheat

• 30 acres of wheat

• 60 acres of wheat

• 120 acres of wheat

A store is having a sale where items are discounted by at least 20%. If a jacket originally costs $80, what is the minimum price after the discount? Set up an inequality to find the minimum price.

• $80

• $70

• $64

• $50

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 to pass? Write an inequality to solve this problem.

• 25

• 30

• 35

• 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? Formulate an inequality to represent this situation.

• 200

• 300

• 150

• 250

A bakery can produce a maximum of 300 loaves of bread in a day. If they have already baked 150 loaves, how many more can they bake? Write an inequality to express this scenario.

• 100

• 250

• 200

• 150

A local charity is collecting donations and has a goal of at least $5,000. If they have already raised $2,500, how much more do they need to raise? Create an inequality to model this situation.

• $3,000

• $2,500

• $1,500

• $4,000

A student is saving money for a new laptop that costs $800. If they currently have $300 and plan to save at least $50 each week, how many weeks will it take to save enough? Write an inequality to find the number of weeks needed.

• 5 weeks

• 15 weeks

• 20 weeks

• 10 weeks