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Introduction to Variables

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Introduction to Variables

Algebraic expressions with variables

📚 Part 1: Understanding Variables

1. What is a variable in mathematics?

A number that never changes

A letter or symbol representing a number

Only the letter x

A mathematical operation

2. In the expression 5x + 3, what is the coefficient?

x

5

3

+

3. In the expression 2a - 7, what is the constant?

2

a

7

-

4. Which of these are variables? (Tick all that apply)

x

8

b

y

15

🔍 Part 2: Identifying Parts of Expressions

5. Look at the expression: 4m + 9

Variable: ___________

Coefficient: ___________

Constant: ___________

6. Look at the expression: 6p - 2

Variable: ___________

Coefficient: ___________

Constant: ___________

7. Complete this sentence:

In the expression 3n + 8, the number _______ is multiplied by the variable _______, and _______ is added to it.

✏️ Part 3: Creating Your Own Expressions

8. Write an algebraic expression for this situation:

"You have 5 times as many stickers as your friend (s), plus 3 extra stickers."

Expression: ___________________

9. Create your own real-life situation and write the algebraic expression:

Situation:

Expression: ___________________

10. Explain in your own words: Why are variables useful in mathematics?

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