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Algebra Variables and Constants
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Algebra Variables and Constants
📚 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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