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Variables and Expressions

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Variables and Expressions

📚 Part 1: Understanding Variables and Expressions

1. What is a variable in algebra?

A number that never changes

A letter that represents an unknown number

A math operation like + or -

The answer to a math problem

2. In the expression 5x + 3, identify each part:

The coefficient is: ___________

The variable is: ___________

The constant is: ___________

3. Which of these are algebraic expressions? Check all that apply:

2x + 7

15

3y - 4

a + b + 10

4. Sarah has some stickers. She gives away 8 stickers. Which expression represents the stickers she has left?

s + 8

s - 8

8s

8 - s

✏️ Part 2: Writing Expressions from Real-World Scenarios

5. Write an algebraic expression for each situation:

a) Marcus has some dollars. He earns $12 more.

Expression: _________________

b) A pizza costs $15. You have a coupon for $3 off.

Expression: _________________

c) Emma runs 3 miles every day for some number of days.

Expression: _________________

6. A movie theater charges $8 per ticket. Write an expression for the total cost of tickets for a group of people.
7. Jake has some baseball cards. His friend gives him 15 more cards, then Jake buys 3 packs with 12 cards each. Write an expression for the total number of cards Jake has now.

🎯 Part 3: Create Your Own

8. Create your own real-world scenario that can be represented by an algebraic expression. Then write the expression.

Your scenario:

Your expression: _________________

9. Explain in your own words why variables are useful in mathematics.

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