Inequality Word Problems

Multiple Choice

Amara will run more than 26 miles this week. So far, she has run 17 miles. What are the possible numbers of additional miles she will run?

Write an inequality to determine the number of additional miles she will run. Use t for the number of additional miles.

• $$t\ +\ 17<26$$  

• $$t+17\ >26$$  

• $$17t<26$$  

• $$17t>26$$  

Multiple Choice

Amara will run more than 26 miles this week. So far, she has run 17 miles. What are the possible numbers of additional miles she will run?

What are the possible number of additional miles that she will run?

• $$t<9$$  

• $$t>9$$  

• $$t\le9$$  

• $$t\ge9$$  

Multiple Choice

Barrington will spend at least $30 on gifts. So far, he has spent $ 20. What are the possible additional amounts he will spend?

Write an inequality to determine the additional amount (in dollars) Barrington will spend. Use c for possible additional amounts.

• $$x+20\ge30$$  

• $$x+20>30$$  

• $$c+20\ge30$$  

• $$c\ +\ 20\le30$$  

Multiple Choice

Barrington will spend at least $30 on gifts. So far, he has spent $ 20. What are the possible additional amounts he will spend?

What are the possible additional amounts (in dollars) Barrington will spend.?

• $$x<10$$  

• $$x>10$$  

• $$c\ge10$$  

• $$c\ \le10$$  

Multiple Choice

Matthew buys candy that costs $8 per pound. He will buy at most 7 pounds of candy. What are the possible amounts he will spend on candy?

What are the possible additional amounts (in dollars) Matthew will spend on candy?

• $$c\le56$$  

• $$c\ge56$$  

• $$c\le1$$  

• $$c\ge1$$  

Multiple Choice

Matthew buys candy that costs $8 per pound. He will buy at most 7 pounds of candy. What are the possible amounts he will spend on candy?

Write an inequality to determine the amount (in dollars) Matthew will spend on candy. Use c for the amount (in dollars) Dante will spend on candy.

• $$7c\le8$$  

• $$7c\ge8$$  

• $$8c\ge7$$  

• $$8c\le7$$  

Multiple Choice

Andrea's softball team was playing in the championship game. When there were 4 innings left, the team was losing by a score of 18 to 6 runs. In the last 4 innings, her team scored the same number of runs per inning, and the other team did not score any more runs. Andrea's team won with the most runs.

Write an inequality to determine the number of runs per inning, p, Andrea's team could have scored.

• $$6+4p>18$$  

• $$6+4p<18$$  

• $$6+4p\le18$$  

• $$6+4p\ge18$$  

Multiple Choice

Andrea's softball team was playing in the championship game. When there were 4 innings left, the team was losing by a score of 18 to 6 runs. In the last 4 innings, her team scored the same number of runs per inning, and the other team did not score any more runs. Andrea's team won with the most runs.

What is the minimum whole number of runs per inning Andrea's team could have scored?

• $$p>2.3$$  

• $$p>2.3$$  

• $$p<3$$  

• $$p>3$$  

Multiple Choice

The dance committee of Faiss Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance. The dance will cost $400.

Write an inequality to determine the number, t, of tickets the committee could sell to break even or have money left over after they pay for this year's dance.

• $$72+4t\le400$$  

• $$400+4t\ge72$$  

• $$72+4t\ge400$$  

• $$72+4t\le400$$  

Open Ended

To rent a certain meeting room, a U.N.L.V. charges a reservation fee of $16 and an additional fee of $5 per hour. The chemistry club wants to spend less than $71 on renting the room. 

a.) Write an inequality to determine the possible number of hours the chemistry club could rent the meeting room. Use h for the number of hours. 

b.)  What are the possible number of hours the chemistry club could rent the meeting room? 

Write your answer as an inequality solved for h.

Open Ended

Jhourney's fish tank has 19 liters of water in it. He plans to add 5 liters per minute until the tank has at least 74 liters.

a.) Write an inequality to determine the possible number of minutes Jhourney could add water. Use m for the number of minutes. 

b.) What are the possible number of minutes Jhourney could add water? 

Write your answer as an inequality solved for m.