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Variables and Constants

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Variables and Constants worksheet preview

Variables and Constants

Algebra symbols and equations illustration

🔍 Part 1: Variable Detective

1. Circle the variables and put a square around the constants in each expression:

a) 5 + x = 12

b) 3y - 7 = 8

c) 4 + 9 = 13

d) 2m + 6

2. What is the difference between a variable and a constant?
3. Which of these are variables? (Tick all that apply)

x

7

y

15

m

🧮 Part 2: Substitution Practice

4. If x = 4, find the value of these expressions:

a) x + 3 = _____

b) 2x = _____

c) x + 7 = _____

d) 5x - 1 = _____

5. If y = 6, calculate:

a) y - 2 = _____

b) 3y + 4 = _____

6. Complete the table by substituting different values for the variable:

Expression: 2n + 5

n 2n + 5
1 _____
3 _____
5 _____

✏️ Part 3: Create Your Own

7. Write an algebraic expression that has:

a) One variable and one constant: ________________

b) One variable and two constants: ________________

8. Real-world problem: Sarah buys some apples for $3 each and pays a $2 delivery fee.

a) If a = number of apples, write an expression for the total cost: ________________

b) What are the constants in your expression? ________________

c) If Sarah buys 4 apples, what is the total cost? $______

9. Challenge: If 2x + 7 = 15, what value of x makes this equation true?

x = _____

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