IXL | One-step multiplication and division inequalities: word problems

Laura is drawing a rectangle. The width will be 3 centimeters, and the area will be at least 18 square centimeters.

Let

represent the length of the rectangle. This inequality describes the problem.

≥

Which algebra tiles model this inequality?

≥

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

The rectangle will be at least centimeters long.

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Learn with an example

Tyrone went to the pet store to buy 5 goldfish for his fish tank. He spent less than $15 in all to buy the fish.

Let

represent how much each goldfish cost. This inequality describes the problem.

Which algebra tiles model this inequality?

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

Each goldfish cost less than

The inequality

describes the problem. The expression

represents the total cost of the goldfish. That needs to be less than 15.

You can model the inequality using algebra tiles.

The left side of the inequality is
5
x
.
So, the left side of your answer should have 5
x
-tiles.
The right side of the inequality is 15. So, the right side of your answer should have 15 1-tiles.

These algebra tiles model the inequality

There are 5

-tiles

on the left side. To solve for

divide each side into 5 equal groups. Then, see how many 1-tiles are in each group on the right side.

The solution to the inequality is

So, each goldfish cost less than

$3.

Looking for more? Try these:

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Now entering the Challenge Zone—are you ready?

Teacher tools

Work it out

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