Real-World Compound Inequalities: A Grade 8 Challenge

A store sells notebooks for between $2 and $5 each. If you want to buy at least 3 notebooks, what is the range of money you need to spend? Write a compound inequality to represent this situation.

• 3 <= x <= 10

• 6 <= x <= 15

• 8 <= x <= 20

• 5 <= x <= 12

A swimming pool can hold between 10,000 and 15,000 gallons of water. If you currently have 8,000 gallons in the pool, how many more gallons can you add? Write a compound inequality to express this.

• 1,000 <= x <= 6,000

• 3,000 <= x <= 8,000

• 2,000 <= x <= 7,000

• 5,000 <= x <= 10,000

A student scored between 70 and 85 on their math test. If they want to improve their score by at least 5 points, what range of scores should they aim for on their next test? Write a compound inequality for this scenario.

• 65 < x < 80

• 80 < x < 95

• 70 < x < 85

• 75 < x < 90

A concert venue has a seating capacity of between 500 and 800 people. If 300 tickets have already been sold, how many more tickets can be sold? Write a compound inequality to show the possible number of additional tickets that can be sold.

• 0 <= x <= 200

• 0 <= x <= 500

• 300 <= x <= 800

• 0 <= x <= 300

A car can travel between 25 and 30 miles per gallon of gas. If you have a 15-gallon tank, what is the range of miles you can travel on a full tank? Write a compound inequality to represent this situation.

• 350 <= x <= 400

• 375 <= x <= 450

• 450 <= x <= 500

• 300 <= x <= 375

A bakery sells cupcakes for between $1.50 and $3.00 each. If you want to buy at least 10 cupcakes, what is the range of money you need to spend? Write a compound inequality to express this.

• 20 <= x <= 40

• 10 <= x <= 20

• 15 <= x <= 30

• 5 <= x <= 15

A runner wants to complete a marathon in between 4 and 5 hours. If they have already run 3 hours, how much more time do they have to finish? Write a compound inequality to represent this scenario.

• 1 <= t <= 2

• 1 <= t <= 3

• 0 <= t <= 3

• 2 <= t <= 4

A video game requires between 20 and 30 hours of gameplay to complete. If you have already played for 15 hours, how many more hours do you need to play? Write a compound inequality to express this situation.

• 5 <= x <= 15

• 10 <= x <= 20

• 15 <= x <= 25

• 0 <= x <= 5

A school is planning a field trip and can take between 40 and 60 students. If 25 students have signed up, how many more can join? Write a compound inequality to show the possible number of additional students that can sign up.

• 20 <= x <= 40

• 15 <= x <= 35

• 10 <= x <= 30

• 5 <= x <= 25

A gardener wants to plant between 15 and 25 flowers in their garden. If they have already planted 10 flowers, how many more can they plant? Write a compound inequality to represent this situation.

• 10 < x < 20

• 0 < x < 5

• 5 < x < 15

• 15 < x < 25