IXL | One-step inequalities: word problems

Coach Kirby is forming dodgeball teams from students in her physical education class. She wants teams that each have 6 students. There are fewer than 48 students in the class, so Coach Kirby can't form as many full teams as she wants.

Let

represent how many full teams Coach Kirby can form. Which inequality describes the problem?

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

Coach Kirby can form fewer than full teams.

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Learn with an example

question

Let

represent how many full teams Coach Kirby can form. Which inequality describes the problem?

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

Coach Kirby can form fewer than full teams.

solution

The variable

represents how many full teams Coach Kirby can form. Since she wants each team to have 6 students, the expression

represents how many students need to be in the class.

And, since there are fewer than 48 students in the class,

must be less than

48.

This inequality shows the relationship.

Now, solve for

Divide both sides by 6

Simplify

So, Coach Kirby can form fewer than 8 full teams.

Looking for more? Try these:

Lesson: Solving inequalities

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Work it out

Not feeling ready yet? These can help:

BB.4Write and graph inequalities: word problems

BB.5Solve one-step inequalities

Lesson: Solving inequalities

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