IXL | One-step inequalities: word problems

Lexi made fruit punch for her Fourth of July party and split it equally among 50 cups. There was more than 8 fluid ounces of punch in each one.

Let

represent how much punch Lexi made. Which inequality describes the problem?

≥

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

Lexi made more than fluid ounces of punch.

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Learn with an example

question

Hector is building a metal sculpture in the shape of an equilateral triangle. After he divides a metal bar into 3 equal pieces, Hector figures each side of the triangular sculpture can be at most 9 feet long.

Let

represent the perimeter of the triangular sculpture. Which inequality describes the problem?

≤

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

The perimeter of the triangular sculpture can be at most feet.

solution

The variable

represents the perimeter of the triangular sculpture. Since Hector divides the metal bar into 3 equal pieces to make the sculpture, the expression

represents the length of each side of the sculpture.

And, since Hector figures each side of the sculpture can be at most 9 feet long,

must be less than or equal to

This inequality shows the relationship.

≤

Now, solve for

≤

Multiply both sides by 3

≤

Simplify

So, the perimeter of the triangular sculpture can be at most 27 feet.

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Lesson: Solving inequalities

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