Grade 7 math worksheet on real-world equations using piano practice as an example.

Let's solve the problem step by step based on the image you provided.

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Problem Statement:

Elizabeth practices piano every day. She has to practice for at least 90 minutes a week. If she practices 5 times a week, what is the minimum amount of time she needs to practice every day?

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We are asked to answer three questions:

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1. What is the variable?

The variable is the unknown quantity we are trying to find.

In this case, we want to find out how many minutes Elizabeth must practice each day.

Let’s define:
> Let x = the number of minutes Elizabeth practices each day.

✔ Answer: The variable is x, representing the daily practice time in minutes.

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2. Write an equation that represents the solution.

She practices 5 times a week, and each day she practices x minutes.
So, total weekly practice time = 5 × x

She needs to practice at least 90 minutes per week, so:
> 5x ≥ 90

This is an inequality because "at least" means greater than or equal to.

✔ Answer: The equation (inequality) is:
> 5x ≥ 90

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3. What is the solution?

Now, solve the inequality:

> 5x ≥ 90

Divide both sides by 5:

> x ≥ 90 ÷ 5
> x ≥ 18

So, Elizabeth must practice at least 18 minutes each day.

✔ Answer: The solution is x ≥ 18, meaning she must practice at least 18 minutes per day.

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✔ Final Answers:

1. What is the variable?
→ x = minutes practiced each day

2. Write an equation:
→ 5x ≥ 90

3. What is the solution?
→ x ≥ 18 → She must practice at least 18 minutes per day

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Let me know if you'd like this written neatly for submission! 🎵🎹