Inequalities Quick Check

Which of the following situations could be solved by using the inequality shown? 9 + 1.25x > 14 + 0.75x

• Park A charges an entrance fee of $9 plus $1.25 per ride. Park B charges $14 per ride and an entrance fee of $0.75. After how many rides will the total charge at Park A Cost more than Park B?

• Danny finishes 1.25 homework problems every 9 minutes. Katie finishes 0.75 problems every 14 minutes. After how many minutes will Danny have completed more of his homework?

• Jake has $9 and spends $1.25 each day. Finley has $14 and spends $0.75 each day. After how many days will Jake have more money than Finley?

• Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia?

A cooler contains 4.5 gallons of water and is filling up at a rate 0.1 gallons per second. A second cooler contains 7 gallons of water and is draining at a rate of 0.25 gallons per second. Which could be used to determine the number of seconds it would take for each cooler to contain the same amount of water?

• 4.5x + 0.1 < 7 - 0.25x

• 4.5 + 0.1x = 7 - 0.25x

• 4.5 + 0.1x = 7 + 0.25x

• 4.6x > 6.75X

• A

• B

• C

• D

• F

• G

• H

• J

• F

• G

• H

• J

• 6 weeks

• 12 weeks

• 2 weeks

• 7 weeks

• Less than 10 minutes

• Less than 7 minutes

• More than 10 minutes

• More than 13 minutes

• A

• B

• C

• D

Match the graph with its inequality.

• 11 < a

• 11 > a

•  11 ≤ a

•  11 ≥ a

Which graph matches the inequality 
2.5 ≤ x?

• A

• B

• C

• D