Solving Real-World Compound Inequalities for 8th Graders

A store sells pencils for between $0.50 and $1.50 each. If you want to buy at least 10 pencils, what is the range of money you need to spend?

• $3.00 to $10.00

• $10.00 to $20.00

• $5.00 to $15.00

• $2.00 to $8.00

A runner wants to complete a race in under 2 hours but also wants to run at least 10 miles. If the race is 13 miles long, what is the range of time per mile they need to maintain?

• 12 to 15 minutes per mile

• 10 to 11 minutes per mile

• 9.23 to 12 minutes per mile

• 8 to 10 minutes per mile

A student needs to score between 70% and 90% on a test to pass. If the test has 50 questions, how many questions must they answer correctly to pass?

• 10 to 20 questions

• 25 to 35 questions

• 45 to 50 questions

• 35 to 45 questions

A car can travel between 25 and 35 miles per gallon of gas. If you plan to drive 300 miles, what is the range of gallons of gas you will need?

• 5 to 7 gallons

• 10 to 14 gallons

• 15 to 20 gallons

• 8.57 to 12 gallons

A concert hall has a seating capacity of between 200 and 500 people. If tickets are sold for $20 each, what is the range of money that can be made from ticket sales?

• $3000 to $8000

• $10000 to $20000

• $4000 to $10000

• $2000 to $5000

A recipe requires between 2 and 4 cups of flour. If you want to make 3 batches of the recipe, what is the range of flour you will need?

• 6 to 12 cups

• 5 to 10 cups

• 4 to 8 cups

• 1 to 3 cups

A gym requires members to be between 18 and 65 years old. If a new member is 20 years old, what is the range of ages of other members?

• 16 to 60 years old

• 18 to 50 years old

• 21 to 70 years old

• 18 to 65 years old

A school is planning a field trip and can take between 30 and 50 students. If each student pays $15, what is the range of total money collected for the trip?

• $300 to $600

• $200 to $400

• $450 to $750

• $600 to $900

A bike can be ridden at speeds between 10 and 20 miles per hour. If a cyclist rides for 2 hours, what is the range of distance they can cover?

• 30 to 50 miles

• 15 to 30 miles

• 20 to 40 miles

• 5 to 25 miles

A factory produces between 100 and 200 toys per hour. If the factory operates for 8 hours, what is the range of toys produced in a day?

• 700 to 1400 toys

• 1000 to 2000 toys

• 900 to 1800 toys

• 800 to 1600 toys