IXL - One-step inequalities: word problems (Algebra 1 practice)

Kate's Cupcakes sells cupcakes in boxes of 4. Depending on the type of cupcake, a box can cost at most $20.

Let

represent how much each cupcake costs. Which inequality describes the problem?

≤

≥

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

Each cupcake costs at most

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Learn with an example

question

In the first week of her school's fundraiser, Julie sold 6 items. By the end of the fundraiser, Julie had earned a beach ball as a prize for selling more than 20 items.

Let

represent how many more items Julie sold after the first week of the fundraiser. Which inequality describes the problem?

≥

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

Julie sold more than items after the first week of the fundraiser.

solution

The variable

represents how many more items Julie sold after the first week of the fundraiser. Since Julie sold 6 items in the first week, the expression

represents the total number of items Julie sold for the fundraiser.

And, since Julie had sold more than 20 items by the end of the fundraiser,

must be greater than

20.

This inequality shows the relationship.

Now, solve for

–

Subtract 6 from each side

–

Subtract 6 from each side

Simplify

So, Julie sold more than 14 items after the first week of the fundraiser.

Looking for more? Try these:

Lesson: Solving inequalities

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F.6Solve one-step linear inequalities

Lesson: Solving inequalities

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