IXL | One-step inequalities: word problems

Debbie works in a warehouse and uses a cart to move boxes. She is loading the cart with boxes that each weigh 15 pounds. The cart has a weight limit of 330 pounds.

Let

represent how many boxes Debbie can load onto the cart without exceeding the weight limit. Which inequality describes the problem?

≤

330

≥

330

Solve the inequality. Then, complete the sentence to describe the solution.

Debbie can load at most boxes on the cart without exceeding the weight limit.

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Learn with an example

question

Once Farid spends 15 minutes on a single level in his favorite video game, he loses a life. He has already spent 10 minutes on the level he's playing now.

Let

represent how many more minutes Farid can play on that level without losing a life. Which inequality describes the problem?

Solve the inequality. Then, complete the sentence to describe the solution.

Farid can play less than more minutes on that level without losing a life.

solution

The variable

represents how many more minutes Farid can play. Since Farid has already spent 10 minutes playing, the expression

represents the total number of minutes Farid plays.

And, since Farid has to play less than 15 minutes to not lose a life,

must be less than

15.

This inequality shows the relationship.

Now, solve for

–

Subtract 10 from both sides

–

Subtract 10 from both sides

Simplify

So, Farid can play less than 5 more minutes on that level without losing a life.

Looking for more? Try these:

Lesson: Solving inequalities

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U.4Solve one-step inequalities

Lesson: Solving inequalities

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