MathematicsFreePrintable

Variables and Expressions Introduction

A free mathematics worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Variables and Expressions Introduction worksheet preview

Variables and Expressions Introduction

Math variables and expressions illustration

📚 Part 1: Understanding Key Terms

1. What is a variable?

A number that never changes

A symbol (usually a letter) that represents a number that can change

An equal sign in math

A math operation like addition

2. Which of these is an expression? (Choose one)

3x + 5 = 20

3x + 5

x = 7

2 + 2 = 4

3. What is the difference between an expression and an equation?

Expressions have equal signs, equations don't

Equations have equal signs, expressions don't

They are exactly the same thing

Expressions only use addition

4. In the expression 4y + 7, identify the parts:

The variable is: _________

The constant (number without a variable) is: _________

✏️ Part 2: Writing Expressions

5. Write an expression for each word phrase:

a) A number plus 8: ___________

b) Five times a number: ___________

c) A number minus 3: ___________

d) Seven more than twice a number: ___________

6. Circle the variables in these expressions:

a) 2x + 9

b) 5a - 4

c) 3m + 2n + 1

d) 6 + 4b

7. Create your own expression using the variable 'z' and explain what it could represent:

My expression: ___________________

🎯 Part 3: Real-World Connections

8. Sarah buys some pencils for $2 each and a notebook for $5. Write an expression to show the total cost if she buys 'p' pencils:

Expression: ___________________

9. In your own words, explain what a variable is and give an example:
10. Challenge: Create an expression with two different variables and explain what each variable could represent:

My expression: ___________________

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds