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Algebra Variables and Constants

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Algebra Variables and Constants

Algebra symbols and mathematical expressions

📚 Part 1: Understanding Variables and Constants

1. Which of the following are variables? (Choose all that apply)

x

5

y

12

2. In the expression 3x + 7, which number is the constant?

3

x

7

3x

3. What does the equal sign (=) mean in algebra?

The answer

The same as

More than

Add together

4. Circle the constants in this expression: 2y + 9 - 4x + 15

✏️ Part 2: Writing Expressions

5. You have some marbles, and your friend gives you 8 more. Write an algebraic expression for your total marbles.

Expression: _______________

6. Sarah has 5 stickers. She buys some more packets, with each packet containing the same number of stickers. Write an expression for her total stickers.

Expression: _______________

7. Complete the table by identifying variables and constants:
Expression Variable(s) Constant(s)
x + 12 _______ _______
4a - 6 _______ _______
3m + 2n + 10 _______ _______

🎯 Part 3: Real-World Connections

8. Tom saves $15 each week. After some number of weeks, he has saved money. Write an expression to show how much money Tom has saved.

Expression: _______________

In your expression, what does the variable represent? ________________________

9. A rectangle has a length of 8 centimetres and an unknown width. Write an expression for the perimeter of the rectangle.
10. Explain in your own words: What is the difference between a variable and a constant?

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