3.2.2 Inequality Word Problems

Warm Up

Recall when is the only time you flip the inequality sign when solving inequalities?

3.2.2 Inequalities Word Problems

By Ilyse Marcinkiewicz

Draw

Ian has 500 baseball cards. He plans to share them with 20 kids in his youth group. ​

​

Ian will distribute an equal number of cards to each kid but wants to keep at least 50 cards for himself.​

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Match each description with the correct term of the inequality.​

Draw

Jahsir collects comic books. ​

He has 75 comic books already. ​

He adds 3 comic books to his collection each month. ​

Jahsir’s mom said he can fit no more than 150 comic books on his bookshelf.​

​

Jahsir uses the inequality 75 + 3m ≤ 150 to represent how many months she can add comic books to the bookshelf. The variable m represents the total number of months she adds 3 comic books to her collection​

Circle the true statements.

Draw

A freight elevator sign states that the elevator can carry a maximum of 2000 lbs. There are 15 office desks on the elevator. If every desk weighs the same, how much does each desk weigh in pounds?​

Hotspot

Austin has saved $1247 from his summer job, and is going to use some of the money for a vacation. He wants to keep at least $650 for emergencies. How much money can Austin spend on his vacation?

Select the defined variable and inequality that correctly represent this scenario.

Multiple Choice

Austin has saved $1247 from his summer job, and is going to use some of the money for a vacation. He wants to keep at least $650 for emergencies. How much money can Austin withdraw from his account to use towards a vacation?

• $0 to $597

• $1897 or more

• $0 to $1897

• $597 or more

Draw

Angelo has no more than 150 meal vouchers to hand out at an event. He needs 60 vouchers for people working the event plus 3 vouchers per person attending the event.​

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Angelo uses the inequality 3p + 60 ≤ 150 50 determine how many attendees will receive meal vouchers.

Multiple Select

Cevyn is preparing for an exam. She needs to earn at least 114 points to pass the exam. Each question is worth 3 points. How many questions does she need to answer correctly to pass the exam. Identify the true statements.

• 3n ≥ 114

• N is the number of questions Cevyn needs to answer correctly.

• Total number of points ≤ 114

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